DOWNLOADABLE PUBLICATIONS

Books & Monographs ( Authored & Edited)

Satya N. Atluri & Igor Vusanovic(2021)

Computational and Experimental Simulations in Engineering, Volume 1, Springer Verlag, 302 Pages

Satya N. Atluri & Igor Vusanovic(2021)
Computational and Experimental Simulations in Engineering, Volume 2, Springer Verlag, 520 Pages

Atluri, S.N; Vušanović I.,(Eds)

Computational & Experimental Simulations in Engineering, Volume 1, ISBN 978-3-030-27055-1, 300 pages; Springer Book, 2020.

Okada, H., Atluri, S. N.,(Eds)
Computational and Experimental Simulations in Engineering, Volume 1, ISBN 978-3-030-27052-0, 1341 pages, Springer Verlag, 2019.

Okada, H., Atluri, S. N.,(Eds)
Computational and Experimental Simulations in Engineering, Volume 2, ISBN 978-3-030-27053-7, 1350 pages, Springer Verlag, 2019.

Selvadurai, A.P.S.; Atluri, S. N.,(Eds)

Contact Mechanics in the Engineering Sciences, Tech Science Press, 2010

Sarler B., , Atluri S. N.,(Eds)

Recent Studies in Meshless & Other Novel Computational Methods, Tech Science Press, 2010

Atluri S.N., Sladek,J,(Eds)

Advances in the MLPG Meshless Methods, 325 pages, Tech Science Press, 2009

Pepper,D. W.; Atluri, S. N.,(Eds)

Advances in Computational & Experimental Engineering and Sciences, Tech Science Press, 2010

Tong, P; Atluri, S.N,(Eds)

Molecular & Cellular Biomechanics, A Monograph in Honor of the 90th Birthday of Professor Yuan-Cheng Fung, UCSD, 690 pages, Tech Science Press 2008

Atluri,S.N.

Methods of Computer Modeling in Engineering & the Sciences-Part I, 480 pages, Tech Science Press 2005.

Atluri, S.N.

The Meshless Method(MLPG) for Domain & BIE Discretizations, 2004, 680 pages, Tech Science Press .

Atluri, S.N., and Shen, S.

The Meshless Local Petrov-Galerkin (MLPG) Method, 2002, 440 pages, Tech Science Press.

Sivakumar MS, Meherprasad A, Narayanan S, Rajendran, R, Atluri SN

Proceedings of ICCES05, IIT, Madras, India(CD-Rom), December 2005

Tadeau A, Atluri SN

Proceedings of ICCES04, Madeira, Portugal,(CD-Rom), August 2004.

Atluri, S.N., Nishioka, T., and Kikuchi, M., (Editors)

Advances in Computational Engineering & Sciences, 2001, Tech Science Press., 1340 pages.

Atluri, S.N., and Brust, F.W (Editors)

Advances in Computational Engineering & Sciences, Vol. II, Tech. Sciences Press, CA, 1012 pages, 2000

Atluri, S.N., and Brust, F.W (Editors)

Advances in Computational Engineering & Sciences, Vol. I, Tech. Science Press, CA, 1071 pages, 2000

Atluri, S.N., and O'Donoghue, P.E (Editors).

Modeling & Simulation Based Engineering, Vol. 1, Tech Science Press, Forsyth, GA, 1018 pages, 1998

Atluri, S.N., and O'Donoghue, P.E.

Modeling & Simulation Based Engineering, Vol. 2, Tech Science Press, Forsyth, GA, pp. 1019-2209, 1998

Atluri, S.N,, and Yagawa, G. (Editors).

Advances in Computational Engineering Science, Tech Science Press, Forsyth, GA, 1332 pages, 1997

Atluri, S.N.

Structural Integrity and Durability, Tech Science Press, Forsyth, GA, 865 pages, 1997.

Atluri, S.N., Yagawa, G., and Cruse, T.A (Editors).

Computational Mechanics '95, Vols. I, 1506 pages, Springer-Verlag, 1995.

Atluri, S.N., Yagawa, G., Tong, P., Jones, R. (Editors)

Computational Mechanics '92, 466 pages, Technology Publications, 1992.

Atluri, S.N ( Editor).

Computational Nonlinear Mechanics in Aerospace Engineering, Volume in AIAA Progress in Aeronautics and Astronautics Series, Am. Inst. of Aeronautics and Astronautics, 534 pages ,1992.

Atluri, S.N., Hoggard, A., Harris, C., Miller, N., and Sampath, S.G (Editors)

Durability of Metal Aircraft Structures, Technology Publications, 678 pages, 1992.

Kane, J.R., Atluri, S.N., and Maier, G (Editors)

Advances in Boundary Element Methods, SpringerVerlag, 670 pages, 1991.

Atluri, S. N., Beskos, D. E., Yagawa, G., Jones, R (Editors)

Computational Mechanics '91, Technology Publications 560 pages, 1991.

Atluri, S. N., Tong, P. (Editors)

Structural Integrity of Aging Airplanes, Springer-Verlag, 610 pages, 1991.

Atluri, S.N., Newman, Jr., J.C., Raju, I.S., and Epstein, J.S (Editors)

Analytical Methods in Fracture, American Society for Testing and Materials, 650 pages, June 1991.

Atluri, S. N., Tong, P. (Editors)

Frontiers in Computational Mechanics, (Festschrift for T.H.H. Pian), 440 pages, Pergamon Press, 1990.

Arunachalam, V.S., Atluri, S.N., et al., (Editors)

Advances in Structural Testing, Analysis and Design, Vols. I, 690 pages, Tata-McGraw-Hill, July, 1990.

Arunachalam, V.S., Atluri, S.N., et al.,( Editors)

Advances in Structural Testing, Analysis and Design, Vols. II, 710 pages, Tata-McGraw-Hill, July, 1990.

Arunachalam, V.S., Atluri, S.N., et al.,( Editors)

Advances in Structural Testing, Analysis and Design, Vols. III, 740 pages, Tata-McGraw-Hill, July, 1990.

Atluri, S. N.

Computational Methods in the Mechanics of Fracture, Russian Translation Edition, Mir Publishers, Moscow, USSR, 840 pages, 1989.

Atluri, S. N., Yagawa, G. (Editors)

Computational Mechanics '88:-Theory and Application, Volume I, Springer-Verlag, NY, 1700 pages, 1988.

Atluri, S. N., Yagawa, G.(Editors)

Computational Mechanics '88:-Theory and Application, Volume II, Springer-Verlag, NY, 1600 pages, 1988.

Atluri, S. N., Amos, A. K. (Editors)

Large Space Structures:-Dynamics & Control, Springer-Verlag, 470 pages, 1988.

Atluri, S. N. (Editor)

Handbook of Finite Elements, Part II, McGraw-Hill, 1200 pages, 1987.

Atluri, S. N.

Computational Methods in the Mechanics of Fracture, North-Holland Publishing Co., Amsterdam, 430 pages, 1986.

Kanninen, M. F., Atluri, S. N. (Editors)

Dynamic Fracture Mechanics, Pergamon Press, Great Britain, 340 pages, 1986.

Atluri, S. N. (Guest Editor)

Computer Methods in Applied Mechanics and Engineering, Vol. 5(1-2), North- Holland, 200 pages, April, 1986.

Yagawa, G., Atluri, S. N. (Editors)

Computational Mechanics '86, Vol. 1, Springer-International, Berlin, 1400 pages, May, 1986.

Yagawa, G., Atluri, S. N. (Editors)

Computational Mechanics '86, Vol. 2, Springer-International, Berlin, 1450 pages, May, 1986.

Atluri, S. N., Perrone, N.(Editors).

Computer Methods for Nonlinear Solids and Structural Mechanics, AMD-Vol. 54, American Society of Mechanical Engineers, 525 pages, 1983.

Atluri, S. N., Gallagher, R. H., Zienkiewicz, O. C. (Editors).

Hybrid & Mixed Finite Element Methods, J. Wiley & Sons, 600 pages, 1983.

Perrone, N., Atluri, S. N. ( Editors).

Nonlinear and Dynamic Fracture Mechanics, AMD-Vol. 35, American Society of Mechanical Engineers, 215 pages, 1979.

Selected CARES Archival Publications for Free Download

2021

Konstantinos A. Mountris, Leiting Dong, Yue Guan, Satya N. Atluri, Esther Pueyo.
Meshfree implementation of the cardiac monodomain model through the Fragile Points Method, Preprint submitted to Computer Methods in Applied Mechanics and Engineering, November 3, 2021.

Xuechuan Wang, Xinjun Long, Xiaokui Yue, Honghua Dai, Satya N. Atluri Bifurcation analysis of stick-slip vibration in a 2-DOF nonlinear dynamical system with dry friction, Communications in Nonlinear Science & Numerical Simulations,2021.

Xuechuan Wang, Tarek A. Elgohary, Satya N. Atluri
An Adaptive Local Variational Iteration Method for Fast and Parallel Prediction of Orbit and Nonlinear Dynamical Systems, Journal of Guidance and Control, American Institute of Aeronautics and Astronautics, 2021.

Kailei Wang, Baoying Shen, Mingjing Li, Leiting Dong, Satya N. Atluri The Fragile Points Method, with an interface damage model, to stimulate damage and fracture of U-notched structures, arXiv preprint arXiv:2108.12737, 2021 (AIAA JOURNAL, American Institute of Aeronautics and Astronautics).

Shuangxin He, Xuan Zhou, Leiting Dong, Satya N. Atluri
Weakly Singular Symmetric Galerkin Boundary Element Method for Fracture Analysis of Three-Dimensional Structures Considering Rotational Inertia and Gravitational Forces, 22 pages, 2021 (CMES: Computer Modeling in Engineering and Sciences).

Donya Haghighi, Saeid Abbasbandy, Elyas Shivanian, Leiting Dong,Satya N. Atluri
The Fragile Points Method (FPM) to solve Two-Dimensional Hyperbolic Telegraph Equation using Point Stiffness Matrices, 35 pages, 2021 (Engineering Analysis with Boundary Elements).

Yezeng Huang, Peng Yan, Junbo Wang, Leiting Dong, Satya N. Atluri
Eshelby Tensors and Overall Properties of Nano-Composites Considering Both Interface Stretching and Bending Effects, 30 pages, 2021 (Journal of Micromechanics & Molecular Physics).

Maryam Tabatabaei, Satya N. Atluri
Advances in Computers and Information in Engineering Research, Volume 2, Chapter 7, ASME 2021, 48 pages

Yue Guan, Satya N. Atluri (2021)
Meshless fragile points methods based on Petrov-Galerkin weak-forms for transient heat conduction problems in complex anisotropic nonhomogeneous media,International Journal for Numerical Methods in EngineeringVolume 122, Issue 16,pp 4055-4092

Yezeng Huang, Guannan Wang, Leiting Dong, Satya N. Atluri (2021)
3D viscoelastic computational grains with spherical inclusions with or without interphases/coatings for micromechanical modeling of heterogeneous materials,International Journal for Numerical Methods in EngineeringVolume 122, Issue 18, pp 4966-4986

Huang, Yezeng; Wang, Guannan; Dong, Leiting; Atluri, Satya N.
3D viscoelastic computational grains with spherical inclusions with or without interphases/coatings for micromechanical modeling of heterogeneous materials, International Journal for Numerical Methods in Engineering, 2021.

Guan, Yue; Dong, Leiting; Atluri, Satya N.
A new meshless fragile points method (FPM) with minimum unknowns at each point, for flexoelectric analysis under two theories with crack propagation. Part I: Theory and implementation, Journal of Mechanics of Materials and Structures, Vol. 16, No. 2, pp.159-195, 2021.

Guan, Yue; Dong, Leiting; Atluri, Satya N.
A new meshless fragile points method (FPM) with minimum unknowns at each point, for flexoelectric analysis under two theories with crack propagation. Part II: Validation and discussion, Journal of Mechanics of Materials and Structures, Vol. 16, No. 2, pp.197-223, 2021.

Zhou, Xuan; He, Shuangxin; Dong, Leiting; Atluri, Satya N.

Real time prediction of probabilistic crack growth in complex structures with reduced-order models: Towards a Digital Twin of a helicopter component, arXiv:2105.03668, 2021.

Rodopoulos, Dimitrios C.; Atluri, Satya N.; Polyzos, Demosthenes

A hybrid FPM/BEM scalar potential formulation for field calculation in nonlinear magnetostatic analysis of superconducting accelerator magnets, Engineering Analysis with Boundary Elements, Vol. 128, pp. 118-132, 2021.

Guan, Yue; Atluri, Satya N.

Meshless Fragile Points Methods based on Petrov-Galerkin weak-forms for transient heat conduction problems in complex anisotropic nonhomogeneous media, International Journal for Numerical Methods in Engineering, 2021.

Wang, Junbo; Yan, Peng; Dong, Leiting; Atluri, Satya N.

Direct numerical simulation of complex nano-structured composites, considering interface stretching and bending effects, using nano-computational grains, International Journal for Numerical Methods in Engineering, Vol. 122, pp. 1476–1492, 2021.

Abbasbandy, Saeid; Shivanian, Elyas; AL-Jizani, Khalid Hammood; Atluri, Satya N.
Pseudospectral meshless radial point interpolation for generalized biharmonic equation subject to simply supported and clamped boundary conditions, Engineering Analysis with Boundary Elements, Vol. 125, pp. 23-32, 2021.

Guan, Yue; Atluri, Satya N.

Meshless Fragile Points Methods based on Petrov-Galerkin weak-forms for transient heat conduction problems in complex anisotropic nonhomogeneous media, CARES Report, 2021.

2020

Tabatabaei, Maryam; Atluri, Satya N.

Ultralight Metallic/Composite Materials with Architected Cellular Structures. In: Computational and Experimental Simulations in Engineering. ICCES 2020. Mechanisms and Machine Science, vol 97, pp 20-28. Springer, Cham, 2020.

Kang, Sang Wook; Atluri, Satya N.

Advanced NDIF Method for Eigenvalue Analysis of Arbitrarily Shaped Acoustic Cavities With the Partially Pressure-Release Boundary, Journal of Vibration and Acoustics, 143(4) , 2020.

Yang, Tian; Dong, Leiting; Atluri, Satya N.

A simple Galerkin meshless method, the Fragile Points method using point stiffness matrices, for 2D linear elastic problems in complex domains with crack and rupture propagation, International Journal for Numerical Methods in Engineering, 2020

Dong, Leiting; Atluri, Satya N.
Foundations of Modeling of Composites for Durability Analysis, Chapter 1, pp 1-34, in Durability of Composite Systems ( Kenneth L. Reifsnider, Editor), Woodhead Publishing, 2020

Wang, Junbo; Chen, Cheng; Yan, Peng; Dong, Leiting; Atluri, Satya N.

Mathematical computational grains for direct numerical simulations of nanocomposites with a large number of nano-inclusions, using parallel computations, Extreme Mechanics Letters, Vol. 36, pp.100656, 2020

Wang, Xuechuan; Elgohary, Tarek A.; Atluri, Satya N.

An adaptive local variational iteration method for orbit propagation and strongly nonlinear dynamical systems, AIAA SciTech Forum, Orlando, 2020

Wang, Xuechuan; Xu, Qiuyi; Atluri, Satya N.
Combination of the variational iteration method and numerical algorithms for nonlinear problems, Applied Mathematical Modelling, Vol. 79, pp. 243-259, 2020

Abbasbandy, Saeid; Shivanian, Elyas; AL-Jizani, Khalid H.; Atluri, Satya N.

Construction of pseudospectral meshless radial point interpolation for generalized biharmonic equation subject to simply supported and clamped boundary conditions, Preprint submitted to EABE, 2020

Guan, Yue; Grujicic, Rade; Wang, Xuechuan; Dong, Leiting; Atluri, Satya N.

A New Meshless "Fragile Points Method" and A Local Variational Iteration Method for General Transient Heat Conduction in Anisotropic Nonhomogeneous Media, arXiv:2001.09034, 2020

Guan, Yue; Grujicic, Rade; Wang, Xuechuan; Dong, Leiting; Atluri, Satya N.
A New Meshless "Fragile Points Method" and A Local Variational Iteration Method for General Transient Heat Conduction in Anisotropic Nonhomogeneous Media. Part I: Theory and Implementation, Numerical Heat Transfer, Part B: Fundamentals, 2020

MATLAB codes for the "Fragile Points Method (FPM)" and introduction of the codes

Guan, Yue; Grujicic, Rade; Wang, Xuechuan; Dong, Leiting; Atluri, Satya N.
A New Meshless "Fragile Points Method" and A Local Variational Iteration Method for General Transient Heat Conduction in Anisotropic Nonhomogeneous Media. Part II: Validation and Discussion, Numerical Heat Transfer, Part B: Fundamentals, 2020

Yang, Tian; Dong Leiting; Atluri, Satya N.

A Simple Galerkin Meshless Method, the Fragile Points Method (FPM) Using Point Stiffness Matrices, for 2D Linear Elastic Problems in Complex Domains with Crack and Rupture Propagation (version 1), arXiv preprint arXiv:1909.04149v2, 2020

Guan, Yue; Grujicic, Rade; Wang, Xuechuan; Dong, Leiting; Atluri, Satya N.

A New and Efficient Computational Approach for Transient Heat Conduction in Complex Anisotropic Nonhomogeneous Media: A Simple Meshless "Fragile Points Method" Based on A Galerkin Weak-Form, and Local Variational Iteration Time Integration Scheme, CARES Report, 2020

Guan, Yue; Dong, Leiting; Atluri, Satya N.

A New Meshless "Fragile Points Method (FPM)" Based on A Galerkin Weak-Form for 2D Flexoelectric Analysis, arXiv preprint arXiv:2005.08839, 2020

Yang, Tian; Dong, Leiting; Atluri, Satya N.

Haghighi, Donya; Abbasbandy, Saeid; Shivanian, Elyas; Dong, Leiting; Atluri, Satya N.

The Fragile Points Method (FPM) to solve Two-Dimensional Hyperbolic Telegraph Equation using Point Stiffness Matrices, Preprint submitted to AMC, 2020

2019

Dong, Leiting; Satya N. Atluri

Foundations for Modeling of Composites for Durability Analysis, 2019

Wang, Junbo; Peng Yan; Leiting Dong; Satya N. Atluri

Direct numerical simulation of complex nano-structured composites, considering interface stretching and bending effects, using nano-computational grains, 2019

Wang, Junbo; Peng Yan; Leiting Dong; Satya N. Atluri

Eshelby tensors and overall properties of nano-composites considering both interface stretching and bending effects, arXiv preprint arXiv:1907.00591, 2019

Yang, Tian; Leiting Dong; Satya N. Atluri

An Elementarily Simple Galerkin Meshless Method: the Fragile Points Method (FPM) Using Point Stiffness Matrices, for 2D Elasticity Problems in Complex Domains, arXiv preprint arXiv:1909.04149, 2019

Wang, Junbo; Peng Yan; Leiting Dong; Satya N. Atluri

Spherical nano-inhomogeneity with the Steigmann–Ogden interface model under general uniform far-field stress loading, International Journal of Solids and Structures, 2019

Wang, Junbo; Cheng Chen; Peng Yan; Leiting Dong; Satya N. Atluri

Mathematical computational grains for direct numerical simulations of nanocomposites with a large number of nano-inclusions, using parallel computations, CARES Report VII, 2019

Dong, Leiting; Tian Yang; Kailei Wang; Satya N. Atluri

A new Fragile Points Method (FPM) in computational mechanics, based on the concepts of Point Stiffnesses and Numerical Flux Corrections, Engineering Analysis with boundary Elements, Vol. 2019, No. 107, pp. 124-133, 2019

Wang, Xuechuan; Qiuyi Xu; Satya N. Atluri

A Simple Local Variational Iteration Method and Related Algorithm for Nonlinear Science and Engineering, CARES Report VI, 2019

Yang, Tian; Leiting Dong; Satya N. Atluri

An Elementarily Simple Galerkin Meshless Method: TheFragile Points Method (FPM) Using Point Stiffness Matrices, for 2D Elasticity Problems in Complex Domains, CARES Report VI, 2019

2018

Wang, Guannan; Leiting Dong; Wang, Junbo; Satya N. Atluri

Three-Dimensional Trefftz Computational Grains for the Micromechanical Modelling of Heterogeneous Media with Coated Spherical Inclusions, Journal of Mechanics of Materials and Structures, Vol. 13, No. 4, pp. 505-529, 2018

Wang, Xuechuan; Atluri, Satya N.

Optimal-Feedback Accelerated Picard Iteration Method and a Fish-Scale Growing Method for Wide-Ranging and Multi-Revolution Perturbed Lambert's Problems, AAS/AIAA Space Flight Mechanics Meeting,Hawaii, 2018

Tabatabaei, Maryam; Atluri Satya N.

Novel and Efficient Mathematical and Computational Methods for the Analysis and Architecting of Ultralight Cellular Materials and their Macrostructural Responses,

ASMEPRESS-D-17-00037R1, Advances in Computing and Information Engineering (ACIER), 2018

Wang, Guannan; Wang, Junbo; Leiting Dong; Satya N. Atluri

Three-Dimensional (3D) Trefftz Computational Grains (TCGs) for the Micromechanical Modeling of Heterogeneous Media with Coated Spherical Inclusions, CARES Report V, 2018

Wang, Xuechuan; Atluri, Satya N.

A 2 DOF Nonlinear Dynamical System with Dry Friction: New and Novel Phenomena Elucidated by Novel Methods without Henon's Modifications, CARES Report III, 2018

Wang, Xuechuan; Atluri, Satya N.

Optimal-Feedback Accelerated Picard Iteration Method and a Fish-Scale Growing Method for Wide-Ranging and Multi-Revolution Perturbed Lambert's Problems, CARES Report IV, 2018

Wang, Xuechuan; Pei, Weicheng; Atluri, Satya N.

Bifurcation & Chaos in Nonlinear Structural Dynamics: Novel & Highly Efficient Optimal-Feedback Accelerated Picard Iteration Algorithms, Communications in Nonlinear Science and Numerical Simulation, Vol. 2018, No. 65, pp. 54-69.

Tabatabaei, Maryam; Atluri Satya N.

Ultralight cellular composite materials with architected geometrical structure. Composite Structures, Vol. 2018, No. 196, pp. 181-198

Wang, Guannan; Atluri, Satya N.

Direct and Inverse Multi-Scale Analyses of Arbitrarily Functionally Graded Layered Hollow Cylinders (Discs), with Different Shaped Reinforcements, under Harmonic Loads. Composite Structures, Vol. 2018, No. 188, pp. 425-437, 2018

Sofi, A; Bishay, P; Atluri, S.N.

Explicit tangent stiffness matrix for the geometrically nonlinear analysis of laminated composite frame structures. Composite Structures, Vol. 2018, No. 187, pp. 566-578, 2018

Wang, Guannan; Atluri, Satya N.

A Trefftz Collocation Method (TCM) for Three-Dimensional Linear Elasticity by using the Papkovich-Neuber Solutions with Cylindrical Harmonics. Engineering Analysis with Boundary Elements, 2018

2017

Tabatabaei, Maryam; Atluri, Satya N.;

Simple and Efficient Analyses of Micro-Architected Cellular Elastic-Plastic Materials with Tubular Members, International Journal of Plasticity

Tabatabaei, Maryam; Le, Dy; Atluri, Satya N.;

Nearly Exact and Highly Efficient Elastic-Plastic Homogenization and/or Direct Numerical Simulation of Low-Mass Metallic Systems with Architected Cellular Microstructures, Journal of Mechanics of Materials and Structures

Tabatabaei, Maryam; Atluri, Satya N.;

Ultralight Cellular Composite Materials with Architected Geometrical Structure, CARES Report I, 2017

Wang, X.C.; Pei, W.C.; Atluri, Satya N.

Bifurcation & Chaos in Structural Dynamics: A Comparison of the Hilber-Hughes-Taylor-α and the Wang-Atluri (WA) Algorithms, CARES Report II, 2017

Wang, X.C.; Atluri,Satya N.
A New Feedback-Accelerated Picard Iteration Method for Orbital Propagation & Lambert's problem, Journal of Guidance Control and Navigation, online.

Wang, X.C.; Atluri Satya N.
A Novel Class of Highly Efficient & Accurate Time-Integrators in Nonlinear Computational Mechanics, Computational Mechanics, Vol. 59, No. 5, pp. 861-876, 2017.

Wang, X. C.; Atluri, Satya N.

Computational methods for nonlinear dynamical systems, JSME Mechanical Engineering Reviews, Vol. 4, No. 2, pp. 1-47，2017

Dai, H. H.; Schnoor, M.; Atluri, Satya N.

Analysis of internal resonance in a two-degree-of-freedom nonlinear dynamical system, Communications in Nonlinear Science and Numerical Simulation, Vol. 2017, No. 49, pp. 176-191, 2017.

2016
Zhang, Y.; Fan, Q.; Dong, L.; Atluri, S. N. Are "Higher-Order" and "Layer-wise Zig-Zag" Plate & Shell Theories Necessary for Functionally Graded Materials and Structures?, CMES: Computer Modeling in Engineering & Sciences: 111, Issue: 6, Pages: 567-585, 2016.
Wang, X. C.; Atluri, Satya N. A Unification of the Concepts of the Variational Iteration, Adomian Decomposition and Picard Iteration Methods;and a Local Variational Iteration Method, CMES: Computer Modeling in Engineering & Sciences: 111, Issue: 6, Pages: 567-585, 2016.
Ray, M. C.; Dong, L.; Atluri, Satya N. Simple Efficient Smart Finite Elements for the Analysis of Smart Composite Beams, CMC: Computers Materials and Continua, Volume: 47, Issue: 3, Pages: 143-177, 2015.
Kang, Sang-Wook; Atluri, Satya N. Improved non-dimensional dynamic influence function method for vibration analysis of arbitrarily shaped plates with clamped edges, ADVANCES IN MECHANICAL ENGINEERING, vol.8, no.3 pp.1-8, 2016.
Kang, N.; Park, S.C.; Park, J.; Atluri, S.N. Dynamics of flexible tower-blade and rigid nacelle system: dynamic instability due to their interactions in wind turbine,JOURNAL OF VIBRATION AND CONTROL, vol.22, no.3, pp.826-836, 2016.
Bishay, Peter L.; Atluri, Satya N. Micromechanical modeling of piezoelectric-piezomagnetic composites using Computational Piezo-Grains (CPGs), MATERIALS TODAY-PROCEEDINGS, vol.3, no.2, pp.167-172, 2016.
Fan, Q.F.; Zhang, Y.P.; Dong, L.; Li, S.; Atluri, Satya N. Are higher-order theories and layer-wise zig-zag theories necessary for n-layer composite laminates? CMES: Computer Modeling in Engineering & Science, vol.107, no.22, pp.155-186, 2015.

2015
Bishay, P.; Atluri, S.N. Computational Piezo-Grains (CPGs) for a highly-efficient micromechanical modeling of heterogeneous piezoelectricepiezomagnetic composites, European Journal of Mechanics A/Solids, vol.53, pp.311-328, 2015.
Sladek, J.; Sladek, V.; Atluri, S.N. Path-independent integral in fracture mechanics of quasicrystals,Engineering Fracture Mechanics, vol.140, pp.61-71, 2015.
Wang, H.; Haynes, R.; Huang, H.; Dong, L.; Atluri, S.N. The Use of High-Performance Fatigue Mechanics and the Extended Kalman / Particle Filters, for Diagnostics and Prognostics of Aircraft Structures, CMES: Computer Modeling in Engineering & Sciences, vol.105, no.1, pp.1-24, 2015.
Liu, C.S.; Atluri, S.N. Double Optimal Regularization Algorithms for Solving Ill-Posed Linear Problems under Large Noise, CMES: Computer Modeling in Engineering & Sciences, vol.104, no.1, pp.1-39, 2015.
Dong, L.; Haynes, R.; Atluri, S.N. On Improving the Celebrated Paris' Power Law for Fatigue, by Using Moving Least Squares, CMC: Computers Materials and Continua, Volume: 45, Issue: 1, Pages: 1-15, 2015.
Dai, H.; Yue, X.; Yuan, J.; Dan, X.; Atluri, S.N. A comparison of classical Runge-Kutta and Henon's methods for capturing chaos and chaotic transients in an aeroelastic system with freeplay nonlinearity, Nonlinerar Dynamics, 2015, DOI 10.1007/s11071-015-1980-x.
Elgohary, T.A.; Junkins, J.L.; Atluri, S.N. AN RBF-COLLOCATION ALGORITHM FOR ORBIT PROPAGATION, Advances in Astronautical Sciences: AAS/AIAA Space Flight Mechanics Meeting, January 11 - 15, 2015, Williamsburg, VA.
Kang, S.W.; Atluri, S.N. Improved non-dimensional dynamic influence function method based on tow-domain method for vibration analysis of membranes, Advances in Mechanical Engineering, vol.7, issue 2, 2015.
Tian, L.; Dong, L.; Phan, N.; Atluri, S.N. Non-planar mixed-mode growth of initially straight-fronted surface cracks, in cylindrical bars under tension, torsion and bending, using the symmetric Galerkin boundary element method-finite element method alternating method, Fatigue & Fracture of Engineering Materials & Structures, published online, 2015.

2014
Tian, L.; Dong, L.; Bhavanam, S; Phan, N.; Atluri, S.N. Mixed-mode fracture & non-planar fatigue analyses of cracked I-beams, using a 3D SGBEM–FEM Alternating Method, Theoretical and Applied Fracture Mechanics, vol.74, pp. 188–199, 2014.
Elgohary, T.A.; Dong, L.; Junkins, J.L.; Atluri, S.N. A Simple, Fast, and Accurate Time-Integrator for Strongly Nonlinear Dynamical Systems, CMES: Computer Modeling in Engineering & Sciences, vol.100, no.3, pp.249-175, 2014.
Dong, L.; El-Gizawy, A.S.; Juhany, K.A.; Atluri, S.N. A Simple Locking-Alleviated 3D 8-Node Mixed-Collocation C0 Finite Element with Over-Integration, for Functionally-Graded and Laminated Thick-Section Plates and Shells, with & without Z-Pins, CMC: Computers Materials and Continua, Volume: 41, Issue: 3, Pages: 163-192, 2014.
Dai, H.; Yue, X.; Dan, X.; Atluri, S.N. Chaos and chaotic transients in an aeroelastic system, Journal of Sound and Vibration, 2014, published online.
Tian, L.; Dong, L.; Phan, N.; Atluri, S.N. Three-Dimensional SGBEM-FEM Alternating Method for Analyzing Fatigue-Crack Growth in and the Life of Attachment Lugs, ASCE Journal of Engineering Mechanics, 2014, published online.
Elgohary, T.A.; Dong, L.; Junkins, J.L.; Atluri, S.N. Time Domain Inverse Problems in Nonlinear Systems Using Collocation & Radial Basis Functions, CMES: Computer Modeling in Engineering & Sciences, vol.100, no.1, pp.59-84, 2014.
Liu, C.S.; Atluri, S.N. Analysis of Elastic-PlasticWaves in a Thin-Walled Tube By a Novel Lie-Group Differential Algebraic Equations Method, CMC: Computers Materials and Continua, Volume: 41, Issue: 1, Pages: 1-36, 2014.
Bishay, L.; Dong, L.; Atluri, S.N. Multi-physics computational grains (MPCGs) for direct numerical simulation (DNS) of piezoelectric composite/porous materials and structures, Computational Mechanics, 2014 (published online).
Dong, L.; El-Gizawy, A.S.; Juhany, K.A.; Atluri, S.N. A Simple Locking-Alleviated 4-Node Mixed-Collocation Finite Element with Over-Integration, for Homogeneous or Functionally-Graded or Thick-Section Laminated Composite Beams, CMC: Computers Materials and Continua, Volume: 40, Issue: 1, Pages: 49-76, 2014.
Dong, L.; Alotaibi, A.; Mohiuddine, S.A.; Atluri, S.N. Computational Methods in Engineering: A Variety of Primal & Mixed Methods, with Global & Local Interpolations, forWell-Posed or Ill-Posed BCs, CMES: Computer Modeling in Engineering & Sciences (2014), vol.99, no.1, pp.1-85. MATLAB codes for all these methods
Elgohary, T.A.; Dong, L.; Junkins, J.L.; Atluri, S.N. Solution of Post-Buckling & Limit Load Problems, Without Inverting the Tangent Stiffness Matrix &amp Without Using Arc-Length Methods, CMES: Computer Modeling in Engineering & Sciences (2014), vol.98, no.6, pp.543-563.
Kang, N.; Park, S. C.; Park J.; Atluri S.N. Dynamics of flexible tower-blade and rigid nacelle system: dynamic instability due to their interactions in wind turbine, Journal of Vibration and Control.
Dai H.; Yue X.; Atluri S.N. Solutions of the Von Kármán plate equations by a Galerkin method, without inverting the tangent stiffness matrix, Journal of Mechanics of Materials and Structures, Vol. 9, No. 2, Pages: 195-226.
Bishay, P.L.; Alotaibi, A.; Atluri, S.N. Multi-Region Trefftz Collocation Grains (MTCGs) for Modeling Piezoelectric Composites and Porous Materials in Direct and Inverse Problems , To appear in Journal of Mechanics of Materials and Structures (2014).
Zhang, T.; He, Y.; Dong, L.; Li, S.; Alotaibi, A.; Atluri, S.N. Meshless Local Petrov-Galerkin Mixed Collocation Method for Solving Cauchy Inverse Problems of Steady-State Heat Transfer , CMES: Computer Modeling in Engineering & Sciences (2014), Volume: 97, Issue: 6, Pages: 509-533.
Zhang, T.; Dong, L.; Alotaibi, A.; Atluri S.N. Application of the Trefftz method,on the basis of Stroh formalism, to solve the inverse Cauchy problems of anisotropic elasticity in multiply connected domains, Engineering Analysis with Boundary Elements (2014), Volume: 43, Pages: 95-104.
Kang S. W.; Atluri S.N. Application of Nondimensional Dynamic Influence Function Method for Eigenmode Analysis of Two-Dimensional Acoustic Cavities, Advances in Mechanical Engineering (2014), http://dx.doi.org/10.1155/2014/363570.
Dai H.; Yue X.; Yuan J.; Atluri S.N. A time domain collocation method for studying the aeroelasticity of a two dimensional airfoil with a structural nonlinearity, Journal of Computational Physics (2014), http://dx.doi.org/10.1016/j.jcp.2014.03.063.
Han Z.D.; Atluri,S.N. On the (Meshless Local Petrov-Galerkin) MLPG-Eshelby Method in Computational Finite Deformation Solid Mechanics - Part II, CMES: Computer Modeling in Engineering & Sciences, Volume: 97, Issue: 3, Pages: 119-237, 2014.
Han Z.D.; Atluri,S.N. Eshelby Stress Tensor T: a Variety of Conservation Laws for T in Finite Deformation Anisotropic Hyperelastic Solid & Defect Mechanics, and the MLPG-Eshelby Method in Computational Finite Deformation Solid Mechanics-Part I,CMES: Computer Modeling in Engineering & Sciences, Volume: 97, Issue: 1, Pages: 1-34, 2014.
Bishay P.L.; Atluri,S.N. Trefftz-Lekhnitski Grains (TLGs) for Efficient Direct Numerical Simulation (DNS) of the Micro/Meso Mechanics of Porous Piezoelectric Materials,Computational Materials Science, Volume: 83, Pages: 235-249, 2014.

2013
Dong, L.; Gamal, S.H.; Atluri, S.N. Stochastic Macro Material Properties, Through Direct Stochastic Modeling of Heterogeneous Microstructures with Randomness of Constituent Properties and Topologies, by Using Trefftz Computational Grains (TCG), CMC: Computers Materials and Continua, Volume: 37, Issue: 1, Pages: 1-21, 2013.
Zhang, T.; Dong, L.; Alotaibi, A.; Atluri, S.N. Application of the MLPG Mixed Collocation Method for Solving Inverse Problems of Linear Isotropic/Anisotropic Elasticity with Simply/Multiply-Connected Domains, CMES: Computer Modeling in Engineering & Sciences, Volume: 94, Issue: 1, Pages: 1-28, 2013.
Cai, Y.C.; Wu, J.; Atluri, S.N. A new implementation of the numerical manifold method (NMM) for the modeling of non-collinear and intersecting cracks, CMES: Computer Modeling in Engineering & Sciences, Volume: 92, Issue: 1, Pages: 63-85, 2013.
Liu, C.S.; Atluri, S.N. Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method, Engineering Analysis with Boundary Elements, Volume: 37, Pages: 74-83, 2013.
Liu, C.S.; Atluri, S.N. A GL(n,R) Differential Algebraic Equation Method for Numerical Differentiation of Noisy Signal, CMES: Computer Modeling in Engineering & Sciences, Volume: 92, Issue: 2, Pages: 213-239, 2013.
Qian, Z.Y.; Han, Z.D.; Atluri, S.N. A Fast Regularized Boundary Integral Method for Practical Acoustic Problems, CMES: Computer Modeling in Engineering & Sciences, Volume: 91, Issue: 6, Pages: 463-484, 2013.
Sladek, J.; Stanak, P.; Han, Z-D.; Sladek, V.; Atluri, S.N. Applications of the MLPG Method in Engineering & Sciences: A Review, CMES: Computer Modeling in Engineering & Sciences, Volume: 92, Issue: 5, Pages: 423-475, 2013.
Dong, L.; Atluri, S.N. Fracture & Fatigue Analyses: SGBEM-FEM or XFEM? Part 1: 2D Structures, CMES: Computer Modeling in Engineering & Sciences, Volume: 90, Issue: 2, Pages: 91-146, 2013.
Dong, L.; Atluri, S.N. Fracture & Fatigue Analyses: SGBEM-FEM or XFEM? Part 2: 3D Solids, CMES: Computer Modeling in Engineering & Sciences, Volume: 90, Issue: 5, Pages: 379-413, 2013.
Bishay P.L.; Atluri,S.N. 2D and 3D Multiphysics Voronoi Cells, Based on Radial Basis Functions, for Direct Mesoscale Numerical Simulation (DMNS) of the Switching Phenomena in Ferroelectric Polycrystalline Materials, CMC: Computers Materials and Continua, Volume: 33, Issue: 1, Pages: 19-62, 2013.
Dong, L.; Atluri,S.N. SGBEM Voronoi Cells (SVCs), with Embedded Arbitrary-Shaped Inclusions, Voids, and/or Cracks, for Micromechanical Modeling of Heterogeneous Materials, CMC: Computers Materials and Continua, Volume: 33, Issue: 2, Pages: 111-154, 2013.
Liu, C.S.; Atluri, S.N. Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method, Engineering Analysis with Boundary Elements, Volume: 37, Issue: 1, Pages: 74-83, 2013.

2012
Sellountos, E.J.; Polyzos, D.; Atluri, S.N. A New and Simple Meshless LBIE-RBF Numerical Scheme in Linear Elasticity, CMES: Computer Modeling in Engineering and Sciences, Volume: 89, Issue: 6, Pages: 513-551, 2012.
Dong, L.; Atluri, S.N. SGBEM (Using Non-hyper-singular Traction BIE), and Super Elements, for Non-Collinear Fatigue-growth Analyses of Cracks in Stiffened Panels with Composite-Patch Repairs, CMES: Computer Modeling in Engineering and Sciences, Volume: 89, Issue: 5, Pages: 417-458, 2012.
Liu, C.S.; Zhang, S.Y.; Atluri, S.N. The Jordan Structure of Residual Dynamics Used to Solve Linear Inverse Problems, CMES: Computer Modeling in Engineering and Sciences, Volume: 88, Issue: 1, Pages: 29-47, 2012.
Dong, L.; Atluri, S.N. Development of 3D Trefftz Voronoi Cells with Ellipsoidal Voids &/or Elastic/Rigid Inclusions for Micromechanical Modeling of Heterogeneous Materials, CMC: Computers Materials and Continua, Volume: 30, Issue: 1, Pages: 39-81, 2012.
Bishay P.L.; Sladek, J.; Sladek, V.; Atluri,S.N. Analysis of Functionally Graded Magneto-Electro-Elastic Composites Using Hybrid/Mixed Finite Elements and Node-Wise Material Properties , CMC: Computers, Materials & Continua, Volume: 29, Issue: 3, Pages: 213-262, 2012.
Dong, L.; Atluri, S.N. Development of 3D T-Trefftz Voronoi Cell Finite Elements with/without Spherical Voids &/or Elastic/Rigid Inclusions for Micromechanical Modeling of Heterogeneous Materials, CMC: Computers Materials and Continua, Volume: 29, Issue: 2, Pages: 169-211, 2012.
Kang, S.W.; Atluri, S.N.; Kim, S.H. Application of the Nondimensional Dynamic Influence Function Method for Free Vibration Analysis of Arbitrarily Shaped Membranes, Journal of vibration and acoustics, Volume: 134 Issue: 4 Pages: 041008-1-041008-8, 2012.
Sladek, J.; Sladek, V.; Stanak P.; Wen, P.H.; Atluri,S.N. Laminated Elastic Plates with Piezoelectric Sensors and Actuators, CMES: Computer Modeling in Engineering and Sciences, Volume: 85, Issue: 6, Pages: 543-572, 2012.
Dong, L.; Atluri, S.N. A Simple Multi-Source-Point Trefftz Method for Solving Direct/Inverse SHM Problems of Plane Elasticity in Arbitrary Multiply-Connected Domains, CMES: Computer Modeling in Engineering and Sciences, Volume: 85, Issue: 1, Pages: 1-43, 2012.
Liu, C.S.; Atluri, S.N. A Globally Optimal Iterative Algorithm Using the Best Descent Vector ẋ=λ[α_cF+B^TF], with the Critical Value α_c, for Solving a System of Nonlinear Algebraic Equations F(x) = 0, CMES: Computer Modeling in Engineering and Sciences, Volume: 84, Issue: 6, Pages: 575-601, 2012
Bishay P.L.; Atluri,S.N. High-Performance 3D Hybrid/Mixed, and Simple 3D Voronoi Cell Finite Elements, for Macro-& Micro-mechanical Modeling of Solids, Without Using Multi-field Variational Principles , CMES: Computer Modeling in Engineering and Sciences, Volume: 84, Issue: 1, Pages: 41-97, 2012.
Dai, H.H.; Schnoor, M.; Atluri, S.N. A Simple Collocation Scheme for Obtaining the Periodic Solutions of the Duffing Equation, and its Equivalence to the High Dimensional Harmonic Balance Method: Subharmonic Oscillations, CMES: Computer Modeling In Engineering and Sciences, Volume:84, Issue:5, Pages:459-497, 2012.
Dong, L.; Atluri, S.N. T-Trefftz Voronoi Cell Finite Elements with eastic/rigid inclusions or voids for micromechanical analysis of composite and porous materials, CMES: Computer Modeling in Engineering and Sciences, Volume: 83, Issue: 2, Pages: 183-220, 2012.
Cai, Y.C.; Atluri, S.N. Large Rotation Analyses of Plate/Shell Structures Based on the Primal Variational Principle and a Fully Nonlinear Theory in the Updated Lagrangian Co-Rotational Reference Frame, CMES: Computer Modeling in Engineering and Sciences, Volume: 83, Issue: 3, Pages: 249-273, 2012.

2011
Dong, L.; Atluri, S.N. Development of T-Trefftz Four-Node Quadrilateral and Voronoi Cell Finite Elements for Macro- & Micromechanical Modeling of Solids, CMES-Computer Modeling In Engineering & Sciences, Volume: 81, Issue: 1, Pages: 69-118. 2011.
Liu, C.S.; Dai, H.H.; Atluri, S.N. A Further Study on Using ẋ=λ[αR+βP] (P=F-R(F·R)/ \|\|R\|\| ²) and ẋ=λ[αF+βP^] (P^=R-F(F·R)/ \|\|F\|\|²) in Iteratively Solving the Nonlinear System of Algebraic Equations F(x)=0, CMES-Computer Modeling In Engineering & Sciences, Volume: 81, Issue: 2, Pages: 195-227.
Liu, C.S.; Dai, H.H.; Atluri, S.N. Iterative Solution of a System of Nonlinear Algebraic Equations F(x)=0, Using ẋ=λ[αR+βP] or ẋ=λ[αF+βP^], R is a Normal to a Hyper-Surface Function of F, P Normal to R, and P^ Normal to F, CMES-Computer Modeling In Engineering & Sciences, Volume:81, Issue:3-4, Pages:335-359. 2011.
Liu, C.S.; Atluri, S.N. An Iterative Method Using an Optimal Descent Vector, for Solving an Ill-Conditioned System Bx = b, Better and Faster than the Conjugate Gradient Method, CMES-Computer Modeling In Engineering & Sciences, Volume: 80, Issue: 3-4, Pages: 275-298 . 2011.
Han, Z.D.; Atluri, S.N. A Truly-Meshless Galerkin Method, Through The Mlpg "Mixed" Approach , Journal Of Marine Science And Technology-Taiwan, Volume: 19, Issue:4, Pages:444-452. Free MLPG Mixed Galerkin Code and Free MLPG Mixed FVM Code
Cai, Y. C.; Tian, L. G.; Atluri, S.N. A simple locking-free discrete shear triangular plate element, CMES-Computer Modeling In Engineering & Sciences, Volume:77, Issue:3-4, Pages:221-238 .
Dong, L.; Atluri, S.N. A Simple Procedure to Develop Efficient & Stable Hybrid/Mixed Elements, and Voronoi Cell Finite Elements for Macro- & Micromechanics, CMC-Computers Materials & Continua, Volume:24, Issue:1, Pages:61-104.
Dai, H.H.; Paik, J.K.; Atluri, S.N. The Global Nonlinear Galerkin Method for the Solution of von Karman Nonlinear Plate Equations: An Optimal & Faster Iterative Method for the Direct Solution of Nonlinear Algebraic Equations F(x) = 0, using ẋ=λ[αF+(1-α)B^TF] , CMC-Computers Materials & Continua, Volume:23, Issue:2, Pages:155-186 .
Shibahara, M.; Atluri, S.N. The Meshless Local Petrov-Galerkin Method For The Analysis Of Heat Conduction Due To A Moving Heat Source, In Welding, International Journal Of Thermal Sciences Volume: 50 Issue:6,984-992 .
Dai, H.H.; Paik, J.K.; Atluri, S.N. The Global Nonlinear Galerkin Method for the Analysis of Elastic Large Deflections of Plates under Combined Loads: A Scalar Homotopy Method for the Direct Solution of Nonlinear Algebraic Equations, CMC-Computers Materials & Continua, Volume:23, Issue:1, Pages:69-99.
Liu, C.S.; Atluri, S.N. An Iterative Algorithm for Solving a System of Nonlinear Algebraic Equations, F(x)=0, Using the System of ODEs with an Optimum α in ẋ=λ[αF+(1-α)B^TF; B_ij=∂F_i/∂x_j, CMES-Computer Modeling In Engineering & Sciences, Volume:73, Issue:4, Pages: 395-431.
Liu, C.S.; Atluri, S.N. Simple "Residual-Norm" Based Algorithms, for the Solution of a Large System of Non-Linear Algebraic Equations, which Converge Faster than the Newton's Method, CMES-Computer Modeling In Engineering & Sciences, Volume:71, Issue:3, Pages: 279-304.
Avila, R.; Han, Z.D.; Atluri, S.N. A novel MLPG-Finite-Volume Mixed Method for Analyzing Stokesian Flows & Study of a new Vortex Mixing Flow, CMES-Computer Modeling In Engineering & Sciences, Volume:71, Issue:4, Pages:363-395.

2010
Yeih, W.C.; Liu, C.S.; Kuo, C.L.; Atluri, S.N. On Solving the Direct/Inverse Cauchy Problems of Laplace Equation in a Multiply Connected Domain, Using the Generalized Multiple-Source-Point Boundary-Collocation Trefftz Method & Characteristic Lengths, CMC: COMPUTERS, MATERIALS, & CONTINUA Volume: 17 Issue: 3 Pages: 275-302 2010
Liu, C.S.; Atluri, S.N. An Iterative and Adaptive Lie-Group Method for Solving the Calderon Inverse Problem, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 64 Issue: 3 Pages: 299-326 2010
Cai, Y.C.; Paik, J.K.; Atluri, S.N. A Triangular Plate Element with Drilling Degrees of Freedom, for Large Rotation Analyses of Built-up Plate/Shell Structures, Based on the Reissner Variational Principle and the von Karman Nonlinear Theory in the Co-rotational Reference Frame, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 61 Issue: 3 Pages: 273-312 2010
Liu, C.S.; Hong, H.K.; Atluri, S.N. Novel Algorithms Based on the Conjugate Gradient Method for Inverting Ill-Conditioned Matrices, and a New Regularization Method to Solve Ill-Posed Linear Systems, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 60 Issue: 3 Pages: 279-308 2010
Li, S.; Atluri, S.N. The MLPG Mixed Collocation Method for Material Orientation and Topology Optimization of Anisotropic Solids and Structures, Chapter2, pp 44-74, in Advances in the MLPG Meshless Methods ( SN Atluri and J Sladek, Editors), Tech Science Press, 330 pages 2010
Liu, C.S.; Yeih, W.C.; Atluri, S.N. An Enhanced Fictitious Time Integration Method for Non-Linear Algebraic Equations With Multiple Solutions: Boundary Layer, Boundary Value and Eigenvalue Problems, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 59 Issue: 3 Pages: 301-323 2010
Yang, C.; Tang, D.L.; Atluri, S.N. Three-Dimensional Carotid Plaque Progression Simulation Using Mesh less Generalized Finite Difference Method Based on Multi-Year MRI Patient-Tracking Data, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 57 Issue1 Pages: 51-76 2010
Zhu, H.H.; Cai, Y.C.; Paik, J.K.; Atluri, S.N. Locking-free Thick-Thin Rod/Beam Element Based on a von Karman Type Nonlinear Theory in Rotated Reference Frames For Large Deformation Analyses of Space-Frame Structures, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 57 Issue: 2 Pages: 175-204 2010
Cai, Y.C.; Paik, J.K.;Atluri, S.N. Locking-free Thick-Thin Rod/Beam Element for Large Deformation Analyses of Space-Frame Structures, Based on the Reissner Variational Principle and A Von Karman Type Nonlinear Theory , CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 58 Issue: 1 Pages: 75-108 2010

2009
Avila, R.; Atluri, S.N. Numerical Solution of Non-steady Flows, Around Surfaces in Spatially and Temporally Arbitrary Motions, by using the MLPG method, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 54 Issue: 1 Pages: 15-64 2009
Cai, Y.C.; Paik, J.K.; Atluri, S.N. Large Deformation Analyses of Space-Frame Structures, Using Explicit Tangent Stiffness Matrices, Based on the Reissner variational principle and a von Karman Type Nonlinear Theory in Rotated Reference Frames, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 54 Issue: 3 Pages: 335-368 2009
Liu, C.S.; Yeih, W.C.; Kuo, C.L.; Atluri, S.N. A Scalar Homotopy Method for Solving an Over/Under-Determined System of Non-Linear Algebraic Equations, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 53 Issue: 1 Pages: 47-71 2009
Cai, Y.C.; Paik, J.K.; Atluri, S.N. Large Deformation Analyses of Space-Frame Structures, with Members of arbitrary Cross-Section, Using Explicit Tangent Stiffness Matrices, Based on a von Karman Type Nonlinear Theory in Rotated Reference Frames , CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, Volume: 53, Issue:2, Pages:117-145.
Avila, R.; Ramos, E.; Atluri, S.N. The Chebyshev Tau Spectral Method for the Solution of the Linear Stability Equations for Rayleigh-Benard Convection with Melting, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 51 Issue: 1 Pages: 73-92 2009
Mishra,S.K.; Paik, J.K.; Atluri, S.N. Modeling of the Inhibition-Mechanism Triggered by 'Smartly' Sensed Interfacial Stress Corrosion and Cracking , CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 50 Issue: 1 Pages: 67-96 2009
Kang, S.W.; Atluri, S.N. Free vibration analysis of arbitrarily shaped polygonal plates with simply supported edges using a sub-domain method, JOURNAL OF SOUND AND VIBRATION Volume: 327 Issue: 3-5 Pages: 271-284 2009
Atluri, S.N.; Liu, C.S.; Kuo, C.L. A MODIFIED NEWTON METHOD FOR SOLVING NON-LINEAR ALGEBRAIC EQUATIONS, JOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN Volume: 17 Issue: 3 Pages: 238-247 2009
Liu, C.S.; Yeih, W.; Atluri, S.N. On Solving the Ill-Conditioned System Ax = b: General-Purpose Conditioners Obtained From the Boundary-Collocation Solution of the Laplace Equation, Using Trefftz Expansions With Multiple Length Scales, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 44 Issue: 3 Pages: 281-311 2009
Liu, C.S.; Atluri, S.N. A Highly Accurate Technique for Interpolations Using Very High-Order Polynomials, and Its Applications to Some Ill-Posed Linear Problems, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 43 Issue: 3 Pages: 253-276 2009
Liu, C.S.; Atluri, S.N. A Fictitious Time Integration Method for the Numerical Solution of the Fredholm Integral Equation and for Numerical Differentiation of Noisy Data, and Its Relation to the Filter Theory , CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 41 Issue: 3 Pages: 243- 265 2009

2008
Li, S.; Atluri, S.N. Topology-optimization of Structures Based on the MLPG Mixed Collocation Method, CMES: COMPUTER MODELING IN ENGINEERING & SCIENCES, Vol. 26, No. 1, pp 61-74 2008
Young, D.L.; Fan, C.M.; Hu, S.P.; Atluri, S.N. The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers' equations, ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS Volume: 32 Issue: 5 Pages: 395-412
Yang, C.; Tang, D.; Yuan, C.; Atluri, S.N. Meshless generalized finite difference method and human carotid atherosclerotic plaque progression simulation using multi-year MRI patient-tracking data, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, Volume:28, Issue:2, Pages:95-107. 2008
Li, S.; Atluri, S.N. The MLPG mixed collocation method for material orientation and topology optimization of anisotropic solids and structures, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, Volume:30, Issue:1, Pages:37-56. 2008
Liu, C.S.; Atluri, S.N. A novel time integration method for solving a large system of non-linear algebraic equations, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 31 Issue: 2 Pages: 71-83, 2008
Sladek, J.; Sladek, V.; Tan, C.L.; Atluri,S.N. Analysis of Transient Heat Conduction in 3D Anisotropic Functionally Graded Solids, by the MLPG Method , CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 32 Issue: 3 Pages: 161-174, 2008
Sladek, J., Sladek, V., Solek, P., Atluri, S.N. Modeling of Intelligent Material Systems by the MLPG, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 34 Issue: 3 Pages: 273-300, 2008
Liu, C.S.; Atluri, S.N. A Fictitious Time Integration Method (FTIM) for Solving Mixed Complementarity Problems with Applications to Non-Linear Optimization , CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 34 Issue: 2 Pages: 155-178 2008
Zhang, Y.F.; Huang, H.C., Atluri, S.N. Strength Asymmetry of Twinned Copper Nanowires under Tension and Compression, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 35 Issue: 3 Pages: 215-225 2008
Liu, C.S.; Atluri, S.N. A Novel Fictitious Time Integration Method for Solving the Discretized Inverse Sturm-Liouville Problems, For Specified Eigenvalues , CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 36 Issue: 3 Pages: 261-285 2008
Sladek, J.; Sladek, V.; Solek, P.; Atluri, S.N. Thermal analysis of Reissner-Mindlin shallow shells with FGM properties by the MLPG, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, Volume: 30 Issue: 2 Pages: 77-97.2008

2007
Oda, K.; Noda, N.A.;Atluri, S.N. Accurate Determination of Stress Intensity Factor for Interface Crack by Finite Element Method , Key Engineering Materials, Volume: 353-358, Pages: 3124-3127. 2007
Han, Z.D.; Atluri, S.N. A systematic approach for the development of weakly-singular BIEs , CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, Volume: 21, Issue: 1, Pages: 41-52. 2007
Ling, X.W.; Atluri, S.N. A hyperelastic description of single wall carbon nanotubes at moderate strains and temperatures, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, Volume: 21, Issue: 1, Pages: 81-91. 2007
Ling, X.W.; Atluri, S.N. Hyperelastic behavior of single wall carbon nanotubes , JOURNAL OF APPLIED PHYSICS, Volume: 101, Issue: 6. 2007
Tang, D.;Yang, C.; Petruccelli, J.D.; Lei, F.; Hatsukami, T.; Mondal, S.; Atluri, S.N. Quantifying Human Atherosclerotic Plaque Growth Function Using Multi-Year In Vivo MRI and Meshless Local Petrov-Galerkin Method , IEEE/ICME International Conference on Complex Medical Engineering, Pages: 546-551, 2007

2006
Shen, S.P.; Atluri, S.N. An analytical model for shot-peening induced residual stresses , CMC-COMPUTERS MATERIALS & CONTINUA, Volume: 4, Issue: 2, Pages: 75-86. 2006.
Atluri, S.N.; Liu, H.T.; Han, Z.D. Meshless Local Petrov-Galerkin (MLPG) Mixed Finite Difference Method for Solid Mechanics, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, Volume: 15 Issue: 1, Pages: 1-16. 2006.
Tsai, C.C.; Lin, Y.C.; Young, D.L.; Atluri, S.N. Investigations on the Accuracy and Condition Number for the Method of Fundamental Solutions, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Volume: 16, Issue: 2, Pages: 103-114. 2006.
Liu, H.T., Han, Z.D., Rajendran, A.M., Atluri, S.N. Computational Modeling of Impact Response with the RG Damage Model and the Meshless Local Petrov-Galerkin (MLPG) Approaches, CMC-Computers, Materials & Continua, Volume: 4, Issue: 1, Pages: 43-54. 2006.
Atluri, S.N., Liu, H.T., Han, Z.D. Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, Volume: 14, Issue: 3, Pages: 141-152. 2006.
Han, Z.D.; Liu, H.T.; Rajendran, A.M.;Atluri, S.N. The applications of meshless local Petrov-Galerkin (MLPG) approaches in high-speed impact, penetration and perforation problems, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, Volume: 14, Issue: 2, Pages: 119-128. 2006.
Ling, X.W.; Atluri, S.N. A lattice-based cell model for calculating thermal capacity and expansion of single wall carbon nanotubes, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, Volume: 14, Issue: 2, Pages: 91-100. 2006.
Ling, X.W.; Atluri, S.N. Stability analysis for inverse heat conduction problems , CMES-Computer Modeling in Engineering & Sciences , Volume: 13, Issue: 3, Pages: 219 - 228. 2006.
Nie, Y.F.; Atluri, S.N.; Zuo, C.W. The optimal radius of the support of radial weights used in moving least squares approximation , CMES-Computer Modeling in Engineering & Sciences , Volume: 12, Issue: 2, Pages: 137 - 147. 2006.

2005
Han, Z.D.; Rajendran, A.M.; Atluri, S.N. Meshless Local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations , CMES-Computer Modeling in Engineering & Sciences , Volume: 10, Issue: 1, Pages: 1 - 12. 2005.
Li, Q.; Soric, J.; Jarak, T.; Atluri, S.N. A locking-free meshless local Petrov-Galerkin formulation for thick and thin plates , JOURNAL OF COMPUTATIONAL PHYSICS , Volume: 208, Issue: 1, Pages: 116 - 133. 2005.
Cazzani, A.; Garusi, E.; Tralli, A.; Atluri, S.N. A four-node hybrid assumed-strain finite element for laminated composite plates , CMC-COMPUTERS MATERIALS & CONTINUA , Volume: 2, Issue: 1, Pages: 23 - 38. 2005.
Atluri, S.N.; Shen, S.P. Simulation of a 4(th) order ODE: Illustration of various primal & mixed MLPG methods , CMES-Computer Modeling in Engineering & Sciences , Volume: 7, Issue: 3, Pages: 241 - 268. 2005.
Atluri, S.N., Shen, S.P. The Basis of meshless domain discretization: the meshless local Petrov-Galerkin (MLPG) method, Advances in Computational Mathematics, Volume: 23, Pages: 73-93. 2005.
Han, Z.D.,Atluri, S.N. Weakly-Singular Traction and Displacement Boundary Integral Equations and Their Meshless Local Petrov-Galerkin Approaches, Tsinghua Science and Technology, Volume: 10, Issue: 1, Pages: 1-7. 2005.
Atluri, S.N. Applications of DTALE: Damage Tolerance Analysis and Life Enhancement [3-D Non-plannar Fatigue Crack Growth] , SID- Structural Integrity & Durability, Volume: 1, Issue: 1, Pages: 1 - 20. 2005.
Shen, S.P.; Atluri, S.N. A tangent stiffness MLPG method for atom/continuum multiscale simulation , CMES-Computer Modeling in Engineering & Sciences , Volume: 7, Issue: 1, Pages: 49 - 67. 2005.

2004
Han, Z.D.; Atluri, S.N. A Meshless Local Petrov-Galerkin (MLPG) approach for 3-dimensional elasto-dynamics , CMC-COMPUTERS MATERIALS & CONTINUA , Volume: 1, Issue: 2, Pages: 129 - 140. 2004 .
Zhang, W; Herrera, C; Atluri, SN; Kassab, GS Effect of surrounding tissue on vessel fluid and solid mechanics, JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME , Volume: 126, Issue: 6, Pages: 760 - 769. 2004.
Atluri, SN; Han, ZD; Rajendran, AM A new implementation of the meshless finite volume method, through the MLPG "Mixed" approach , CMES-Computer Modeling in Engineering & Sciences , Volume: 6, Issue: 6, Pages: 491 - 513. 2004. Free MLPG Code and the MLPG Book
Sladek, J; Sladek, V; Atluri, SN Meshless local Petrov-Galerkin method in anisotropic elasticity , CMES-Computer Modeling in Engineering & Sciences , Volume: 6, Issue: 5, Pages: 477 - 489. 2004.
Soric, J; Li, Q; Jarak, T; Atluri, SN Meshless Local Petrov-Galerkin (MLPG) formulation for analysis of thick plates , CMES-Computer Modeling in Engineering & Sciences , Volume: 6, Issue: 4, Pages: 349 - 357. 2004.
Sladek, J; Sladek, V; Atluri, SN Meshless local Petrov-Galerkin method for heat conduction problem in an anisotropic medium , CMES-Computer Modeling in Engineering & Sciences , Volume: 6, Issue: 3, Pages: 309 - 318. 2004.
Qian, ZY; Han, ZD; Ufimtsev, P; Atluri, SN Non-hyper-singular boundary integral equations for acoustic problems, implemented by the collocation-based boundary element method , CMES-Computer Modeling in Engineering & Sciences. Volume: 6, Issue: 2, Pages: 133 - 144.
Atluri SN, Han ZD MLPG Methods for Discretizing Weakly Singular BIEs, in Advances in Scattering and Biomedical Engineering , ( Fotiadis DI, Massalas CV, Editors) World Scientific, Pages: 183-195.
Han, ZD; Atluri, SN Meshless local Petrov-Galerkin (MLPG) approaches for solving 3D problems in elasto-statics , CMES-Computer Modeling in Engineering & Sciences. Volume: 6, Issue: 2, Pages: 169 - 188. 2004.
Jackson, JH; Kobayashi, AS; Atluri, SN A three dimensional numerical investigation of the T* integral along a curved crack front , CMES-Computer Modeling in Engineering & Sciences. Volume: 6, Issue: 1, Pages: 17 - 29. 2004.
Shen, SP; Atluri, SN Atomic-level stress calculation and continuum-molecular system equivalence , CMES-Computer Modeling in Engineering & Sciences. Volume: 6, Issue: 1, Pages: 91 - 104. 2004.
Qian, ZY; Han, ZD; Atluri, SN Directly derived non-hyper-singular boundary integral equations for acoustic problems, and their solution through Petrov-Calerkin schemes , CMES-Computer Modeling in Engineering & Sciences , Volume: 5, Issue: 6, Pages: 541 - 562. 2004.
Shen, SP; Atluri, SN Multiscale simulation based on the meshless local Petrov-Galerkin (MLPG) method , CMES-Computer Modeling in Engineering & Sciences , Volume: 5, Issue: 3, Pages: 235 - 255. 2004.

2003
Han, Z.D.; Atluri, S.N. Truly Meshless Local Petrov-Galerkin (MLPG) solutions of traction & displacement BIEs , CMES-Computer Modeling in Engineering & Sciences , Volume: 4, Issue: 6, Pages: 665 - 678. 2003.
Atluri, S.N.; Han, Z.D.; Shen, S. Meshless local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations , CMES-Computer Modeling in Engineering & Sciences , Volume: 4, Issue: 5, Pages: 507 - 517. 2003.
Li, Q.; Shen, S.; Han, Z.D.; Atluri, S.N. Application of meshless local Petrov-Galerkin (MLPG) to problems with singularities, and material discontinuities, in 3-D elasticity , CMES-Computer Modeling in Engineering & Sciences , Volume: 4, Issue: 5, Pages: 571 - 585. 2003.
Tang, Z.; Shen, S.; Atluri, S.N. Analysis of Materials with Strain-Gradient Effects: A Meshless Local Petrov-Galerkin(MLPG) Approach, with Nodal Displacements only, CMES-Computer Modeling in Engineering & Sciences, Volume: 4, Issue: 1, Pages: 177-196. 2003.
Han, Z.D.; Atluri, S.N. On Simple Formulations of Weakly-Singular Traction & Displacement BIE,and Their Solutions through Petrov-Galerkin Approaches, CMES-Computer Modeling in Engineering & Sciences, Volume: 4, Issue: 1, Pages: 5-20. 2003.
Iura M., Atluri S.N. Advances in finite rotations in structural mechanics, CMES: Computer Modeling in Engineering and Sciences, Volume: 4, Issue: 2, Pages: 213-215. 2003.
Iura M., Suetake Y., Atluri S.N. Accuracy of co-rotational formulation for 3-D Timoshenko's beam, CMES: Computer Modeling in Engineering and Sciences, Volume: 4, Issue: 2, Pages: 249-258. 2003.
Suetake Y., Iura M., Atluri S.N. Variational formulation and symmetric tangent operator for shells with finite rotation field, CMES: Computer Modeling in Engineering and Sciences, Volume: 4, Issue: 2, Pages: 329-336. 2003.
Beom H.G., Atluri S.N. Effect of electric fields on fracture behavior of ferroelectric ceramics, Journal of Mechanics and Physics of Solids, Volume: 51, Issue: 6, Pages: 1107-1125. 2003.
Atluri S.N. Preface , CMES: Computer Modeling in Engineering and Sciences, Volume: 4, Issue: 1, Pages: 1-3. 2003

2002
Sladek, J., Sladek, V., Atluri, S.N. Application of the local boundary integral equation method to boundary-value problems, International Applied Mechanics, Volume: 38, Issue: 9, Pages: 1025-1047.
Beom, H.G., Atluri, S.N. Conducting cracks in dissimilar piezoelectric media, International Journal of Fracture, Volume: 118, Issue: 4, Pages: 285-301.
Ma, L., Kobayashi, A.S., Atluri, S.N. Crack linkup: An experimental analysis, Exprimental Mechanics, Volume: 42, Issue: 2, Pages: 147-152.
Han, Z.D.; Atluri, S.N. SGBEM (for Cracked Local Subdomain) - FEM (for uncracked global Structure) Alternating Method for Analyzing 3D Surface Cracks and Their Fatigue-Growth, CMES-Computer Modeling in Engineering & Sciences, Volume: 3, Issue: 6, Pages: 699-716. 2002.
Srivastava,D.; Atluri, S.N. Computational Nanotechnology: A Current Perspective, CMES- Computer Modeling in Engineering & Sciences, Volume: 3, Issue: 5, Pages: 531-538. 2002.
Atluri, S.N.; Shen, S.P. The meshless local Petrov-Galerkin (MLPG) method: A simple & less- costly alternative to the finite element and boundary element methods, CMES-Computer Modeling in Engineering & Sciences, Volume: 3, Issue: 1, Pages: 11-51. 2002.
Long, S.Y.; Atluri, S.N. A meshless local Petrov-Galerkin method for solving the bending problem of a thin plate, CMES-Computer Modeling in Engineering & Sciences, Volume: 3, Issue: 1, Pages: 53-63, 2002.

2001
Sun, D.C., Tong, L.Y., Atluri, S.N. Effects of piezoelectric sensor/actuator debonding on vibration control of smart beams, nternational Journal of solids & Structures, Volume: 38, Issue: 50-51, Pages: 9033-9051, 2001 .
Sladek, J., Sladek, V., Atluri, S.N. A pure contour formulation for the meshless local boundary integral equation method in thermoelasticity, CMES: Computer Modeling in Engineering & Sciences, Volume: 2, Issue: 4, Pages: 423-433, 2001 .
Tong, L.Y., Sun, D.C., Atluri, S.N. Sensing and actuating behaviours of piezoelectric layers with debonding in smart beams, Int. Journal of Smart Materials & Structures, Volume: 10, Issue: 4, Pages: 713-723, 2001 .
Nikishkov, G.P., Park, J.H., Atluri, S.N. SGBEM-FEM alternating method for analyzing 3D non-planar cracks and their growth in structural components, CMES: Computer Modeling in Engineering & Sciences, Volume: 2 Issue: 3, Pages: 401-422, 2001.
Lin, H., Atluri, S.N. The Meshless Local Petrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations, CMES-Computer Modeling in Engineering & Sciences, Volume: 2, Issue: 2, Pages: 117-142, 2001
Atluri, S.N., Iura, M., Vasudevan, S. A consistent theory of finite stretches and finite rotations, in space-curved beams of arbitrary cross-section, COMPUTUTATIONAL MECHANICS, Volume: 27, Issue: 4, Pages: 271-281, 2001.

2000
Liu, C.T.; Wang, L.; Atluri, S.N. Analysis of Sub-Interfacial Cracks, Advances in Computational Engineering & Sciences, ( Atluri, S.N. & F.W. Brust, Eds.), Tech Science Press, 2000 .
Ma, L.; Kobayashi, A.S.; Atluri, S.N.;Tan, P.W. Crack Linkup by Stable Crack Growth, CMES: Computer Modeling in Engineering & Sciences, Volume: 1, Issue: 4, Pages: 19-26, 2000 .
Sladek V, Sladek J, Atluri SN Numerical integration of singularities in meshless implementation of local boundary integral equations, Computational Mechanics, Volume: 25, Issue: 4, Pages: 394-403, 2000 .
Sladek J, Sladek V, Atluri SN. Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties, Computational Mechanics, Volume: 24, Issue: 6, Pages: 456-462, 2000 .
Cho, J.Y., Kim, H.-G., and Atluri, S.N. Analysis of Thin Beams, Using the Meshless Local Petrov-Galerkin Method, with Generalized Moving Least Squares Interpolations, Advances in Computational Engineering & Sciences, (S.N. Atluri & F.W. Brust, Eds.), Tech Science Press, 2000.
Kim, H.-G., Cho, J.Y., and Atluri, S.N Arbitrary Placement of Secondary Nodes and Error Control, in the Meshless Local Petrov-Galerkin (MLPG) Method, Advances in Computational Engineering & Sciences, (S.N. Atluri & F.W. Brust, Eds.), Tech Science Press, 2000.
Ma, L., Kobayashi, A.S., Atluri, S.N., and Tan, P.W Crack Linkup by Stable Crack Growth, Advances in Computational Engineering & Sciences, (S.N. Atluri & F.W. Brust, Eds.), Tech Science Press, 2000.
Lin H., Atluri S.N. Meshless local Petrov-Galerkin (MLPG) method for convection-diffusion, CMES-Computer Modeling in Engineering & Sciences, Volume: 1, Issue: 2, Pages: 45-60, 2000 .
Kim H.G., Atluri S.N. Arbitrary placement of secondary nodes, and error control, in the meshless local Petrov-Galerkin (MLPG) method, CMES-Computer Modeling in Engineering & Sciences, Volume: 1, Issue: 3, Pages: 11-32, 2000 .
Atluri S.N., Zhu T.L. The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics, COMPUTATIONAL MECHANICS, Volume: 25, Pages: 169-179, 2000 .
Atluri S.N., Sladek J., Sladek V., Zhu T. The local boundary integral equation (LBIE) and it's meshless implementation for linear elasticity, COMPUTATIONAL MECHANICS, Volume: 25, Pages: 180-198, 2000 .
Atluri S.N., Zhu T. New concepts in meshless methods, INTERNATIONAL J. NUMERICAL METHODS IN ENGINEERING, Volume: 47, Pages: 537-556, 2000 .

1999
Okada, H.; Atluri, S.N. Further Studies on the Characteristics of the T^*_ε Integral: Plane Stress Stable Crack Propagation in Ductile Materials, Comp. Mech., 23, Issue: 4, Pages: 339-352, 1999
Park, J.H.; Atluri, S.N Analysis of Cracked Thin Isotropic Plate Subjected to Bending Moment by Using FEM, KSME International Journal, Volume: 13, Issue: 2,Pages: 912-917, 1999.
Okada, H.; Atluri, S.N.; Omori, Y.; Kobayashi, A.S. Direct Evaluation of T^*_ε integral From Experimentally Measured Near Tip Displacement Field, for a Plate with Stably Propagating Crack, International Journal of Plasticity, Volume: 15, Issue: 9, Pages: 869-897, 1999.
Quadrelli, B.M.;Atluri, S.N.x Mixed Variational Principles in Space and Time for Elastodynamics Analysis, Acta Mechanica, Volume: 136, Pages: 193-208, 1999.
Atluri, S.N.; Xue, W. Mathematical Aspects of the General Hybrid-Mixed Finite Element Methods and Singular-Value Principle, Computational Mechanics, Volume: 22, Issue: 6, Pages: 450-462, 1999.
Pitt, S.;Atluri, S.N.;Jones, R. Further Studies Into Interacting 3D Cracks, Computers & Structures, Volume: 70, Issue: 5, Pages: 583-597, 1999.
Zhu, T.; Zhang, J.; Atluri, S.N., A Meshless Numerical Method Based on The Local Boundary Integral Equation (LBIE) to Solve Linear and Nonlinear Boundary Value Problems, Engineering Analysis with Boundary Elements, Volume: 23, Pages: 375-389, 1999.
Kim, H.G.; Cho, J.Y.; Atluri, S.N. Analysis of Thin Beams Using the Meshless Local Petrov-Galerkin Method with Generalized Moving Least Squares Interpolations, Computational Mechanics, Volume: 24, Issue: 5, Pages: 334-347, 1999.
Atluri, S.N.; Park, J.H. Analysis of a Cracked Thin Isotropic Plate Subjected to Bending Moment by Using FEAM, KSME Int. J., Volume: 13, Issue: 12, Pages: 912-917, 1999.
Cho, J.Y.; Kim, H.G.; Atluri, S.N. A Critical Assessment of the Truly Meshless Local Petrov Galerkin (MLPG) and Local Boundary Integral Equation (LBIE) Methods, Computational Mechanics, Volume: 24, Issue: 5, Pages: 348-372, 1999

1998
Omori, Y.; Kobayashi, A.S.; Okada, H.; Atluri, S.N.; Tan, P.W. T^*_ε integral as a Crack Growth Criterion , Mechanics of Materials, Volume: 28, Pages: 147-154, 1998.
Kim, T.; Loewy, R.G.;Atluri, S.N. Modelling of Microcrack Damaged Composite Plates Undergoing Nonlinear Bimodular Flutter Oscillations, AIAA Journal, Volume: 36, Issue: 4, Pages: 598-606, 1998.
Wang, L.;Chow, W.T.; Kawai, H.;Atluri, S.N. Predictions of Widespread Fatigue Damage Thresholds in Aging Aircraft, AIAA Journal, Volume: 36, Issue: 3, Pages: 457-464, 1998.
Wang, L.;Chow, W.T.;Kawai, H.; Atluri, S.N. Residual Strength of Aging Aircraft with Multiple Site Damage/Multiple Element Damage, AIAA Journal, Volume: 36, Issue: 5, Pages: 840-847, 1998.
Gao, X.-L.; Atluri, S.N. An Exact Finite Deformation Elasto-Plastic Solution for the Outside-In Free Enversion Problem of a Tube of Elastic-Linear Hardening Material, IMA Journal of Applied Mathematics, Volume: 58, Issue: 3, Pages: 259-275, 1998.
Quadrelli, B.M.; Atluri, S.N. Analysis of Flexible Multibody Systems with Spatial Beams Using Mixed Variational Principles, Int. Journal Num. Meth. in Engg., Volume: 42, Pages: 1071-1090, 1998.
Park, J.H.;Atluri, S.N. Mixed Mode Fatigue Growth of Curved Cracks Emanating From Fastener Holes in Aircraft Lap Joints, Computational Mechanics, Volume: 21, Issue: 6, Pages: 477-482, 1998.
Yoshika Omori; Albert S. Kobayashi; Hiroshi Okada; Satya N. Atluri;Paul W. Tan T^*_ε Integral as a Crack Growth Criterion, Mechanics of Materials, Volume: 28, Pages: 147-154, 1998.
Atluri, S.N.;Zhu, T.L. A New Meshless Local Petrov-Galerkin (MLPG) Approach, Modeling & Simulation Based Engineering, (S.N. Atluri & P.E. O'Donoghue, Eds.), Tech. Science Press, Pages: 1-10, 1998.
Xue, W.-M.;Atluri, S.N. Mathematical Aspects of the General Hybrid-Mixed Finite Element Methods and Singular-Value Principle, Modeling & Simulation Based Engineering, (S.N. Atluri and P.E. O'Donoghue, Eds.), Tech. Science Press, Pages: 2190-2203, 1998.
Kobayashi, A.S.;Atluri, S.N., T^*_ε as of Static/Fatigue/Dynamic Crack Growth Parameter, Modeling & Simulation Based Engineering, (S.N. Atluri & P.E. O'Donoghue, Eds.), Tech. Science Press, Pages: 1305-1310, 1998.
Zhu, T.; Zhang, J.D.;Atluri, S.N. A Local Boundary Integral Equation (LBIE) Method in Computational Mechanics, and a Meshless Discretization Approach, Computational Mechanics, Volume: 21, Issue: 3, Pages: 223-235, 1998.
Zhu, T.; Zhang, J.;Atluri, S.N. A Meshless Local Boundary Integral Equation (LBIE) Method for Solving Nonlinear Problems, Computational Mechanics, Volume: 22, Issue: 2, Pages: 174-176, 1998.
Zhu, T.;Atluri, S.N. A Modified Collocation & Penalty Formulation for Enforcing the Essential Boundary Conditions in the Element Free Galerkin Method, Computational Mechanics, Volume: 21, Issue: 3, Pages: 211-222, 1998.
Atluri, S.N.; Zhu, T. A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics, Computational Mechanics, Volume: 22, Pages: 117-127, 1998.
Atluri, S.N., and Zhu, T. A New Meshless Local Petrov-Galerkin (MLPG) Approach to Nonlinear Problems in Computer Modeling & Simulation, Computer Modeling & Simulation in Engg., Volume: 3, Pages: 187-196, 1998.
Chow, W.T., and Atluri, S.N. Stress Intensity Factors as the Fracture Parameters for Delamination Crack Growth in Composite Laminates, Computational Mechanics, Volume: 21, Issue: 1, Pages: 1-10, 1998.

1997
Gao, Z.L.; Atluri, S.N. An Elasto-Plastic Solution for the Shrink-Fit Problem with a Thin Strain-Hardening Hub and an Elastic Solid Shaft, Mathematics and Mechanics of Solids, Volume: 2, Pages: 335-349, 1997.
Chow, W.T.; Atluri, S.N. Composite Patch Repairs of Metal Structures: Adhesive Nonlinearity, Thermal Cycling and Debonding, AIAA Journal, Volume: 35, Issue: 9, Pages: 1528-1535, 1997.
Kim, T.; Steadman, D.; Hanagud, S.V.; Atluri, S.N. On the Feasibility of Using Thermal Gradients for Active Control of Interlaminar Stresses in Laminated Composites, Journal of Composite Material, Volume: 31, Issue: 16, Pages: 1556-1573, 1997.
Chow, W.-T.; Atluri, S.N. Stress Intensity Factors as the Fracture Parameters for Delamination Crack Growth in Composite Laminates, Computational Mechanics, Volume: 21, Pages: 1-10, 1997.
Wang, L.; Brust, F.W.; Atluri, S.N. The Elastic-Plastic Finite Element Alternating Method (EPFEAM) and the Prediction of Fracture Under WFD Conditions in Aircraft Structures Part I: EPFEAM Theory, Computational Mechanics, Volume: 19, Issue: 5, Pages: 356-369, 1997.
Wang, L.; Brust, F.W.; Atluri, S.N. The Elastic-Plastic Finite Element Alternating Method (EPFEAM) and the Prediction of Fracture Under WFD Conditions in Aircraft Structures, Part II: Fracture and the T* Parameter, Computational Mechanics, Volume: 19, Issue: 5, Pages: 370-379, 1997.
Wang, L.; Brust, F.W.; Atluri, S.N. The Elastic-Plastic Finite Element Alternating Method (EPFEAM) and the Prediction of Fracture Under WFD Conditions in Aircraft Structures, Part III: Computational Predictions of the NIST Multiple Site Damage Experimental Results, Computational Mechanics, Volume: 20, Issue: 3, Pages: 199-212, 1997.

1996
Atluri, S.N. AASERT-Structural Integrity of Aging of Aerospace Structures and Repairs (Final Report), Computational Mechanics Center Georgia Institute of Technology, 1996.
Omari, Y.; Okada, H.; Ma, L.; Atluri, S.N.; Kobayashi, A.S.; Tan, P. Further Studies on T* integral Under Plane Stress Crack Growth, Computer-Aided Assessment on Control, Computational Mechanics Publication, Pages: 511-515, 1996.
Naganarayana, B.P.; Huang, B.Z.; Atluri, S.N. Multidomain Modeling & Analysis of Delaminated Stiffened Composite Shells, AIAA Journal, Volume: 34, Issue: 9, Pages: 1894-1904, 1996.
Seki, W. ; Atluri, S.N. On Newly Developed Assumed Stress Finite Element Formulations for Geometrically and Materially Nonlinear Problems, Finite Elements in Analysis and Design, Volume: 21, Pages: 75-110, 1996.
Pipkins, D.S.; Atluri, S.N. Applications of the Three Dimensional Finite Element Alternating Method, Finite Elements in Analysis and Design, Volume: 23, Pages: 133-153, 1996.
Vasudevan, S.; Okada, H.; Atluri, S.N. Development of a New Frame Finite Element for Crash Analysis, Using-a Mixed Variational Principle and Rotations as Independent Variables, Finite Elements in Analysis and Design, Volume: 23, Pages: 155-171, 1996.
Sarkar, S.; Atluri, S.N. Effects of Multiple Blade Interaction on the Containment of Blade Fragments During a Rotor Failure, Finite Elements in Analysis and Design, Volume: 23, Pages: 221-224, 1996.
Chow, W.T.; Atluri, S.N. Fracture and Fatigue Analysis of Curved or Kinked Cracks Near Fastener Holes, Finite Elements in Analysis and Design, Volume: 23, Pages: 91-100, 1996.
Kim, T.; Steadman, D.; Hanagud, S.V.; Atluri, S.N. On the Feasibility of Using Thermal Gradients for Active Control of Interlaminar Stresses in Laminated Composites, Finite Elements in Analysis and Design, Volume: 23, Pages: 349-363, 1996.
Chow, W.T. Atluri, S.N. Prediction of Post-Buckling Strength of Stiffened Laminated Composite Panels Based on the Criterion of Mixed-Mode Stress Intensity Factors, Computational Mechanics, Volume: 18, Issue: 3, Pages: 215-224, 1996.
Kawai, H.; Okada, H.; Atluri, S.N. A Graphic User Interface Front-End for Parametric Survey and its Application to Composite Patch Repairs of Metallic Structure, Proc. FAA/NASA Symposium on Continued Airworthiness of Aircraft Structures, Pages: 369-376, Atlanta, GA, 1996.
Chow, W.T.; Wang, L.; Kawai, H.; Atluri, S.N. A Numerical Study of the Interactions Between Multiple Longitudinal Cracks in a Fuselage (Multiple Discrete-Source-Damages), Proc. FAA/NASA Symposium on Continued Airworthiness of Aircraft Structures, Pages: 473-480, Atlanta, GA, 1996.
Wang, L.; Chow, W.T.; Kawai, H.; Zhang, J.; Atluri, S.N. A Study of Circumferential Cracks in The Presence of Multiple-Site Damage in An Aircraft Fuselage, Proc. FAA/NASA Symposium on Continued Airworthiness of Aircraft Structures, Pages: 619-630, Atlanta, GA, 1996.
Okada, H.; Atluri, S.N. An Energetic Characterization of the Propagation of Curved Cracks in Thin Ductile Plates, Proc. FAA/NASA Symposium on Continued Airworthiness of Aircraft Structures, Pages: 225-238, Atlanta, GA, 1996.
Zhang, J.; Park, J.H.; Atluri, S.N. Analytical Fatigue Life Estimation of Full-Scale Fuselage Panel, Proc. FAA/NASA Symposium on Continued Airworthiness of Aircraft Structures, Pages: 51-62, Atlanta, GA, 1996.
Chow, W.T.; Kawai, H.; Wang, L.; Atluri, S.N. Automated Evaluation of Residual Strength in the Presence of Widespread Fatigue Damage, Proc. FAA/NASA Symposium on 'Continued Airworthiness of Aircraft Structures, Pages: 101-108, Atlanta, GA, 1996.
Sarkar, S.; Atluri, S.N. Failure Analysis of Aircraft Engine Containment Structures, Proc. FAA/NASA Symposium on Continued Airworthiness of Aircraft Structures, Pages: 267-278, Atlanta, GA, 1996.
Lam, P.W.; Kobayashi, A.S.; Okada, H.; Atluri, S.N.; Tan, P.W. Integrals for Curved Crack Growth, Proc. FAA/NASA Symposium on Continued Airworthiness of Aircraft Structures, Pages: 643-649, Atlanta, GA, 1996.
Wang, L.; Atluri, S.N. Predictions of Stable Growth of a Lead-Crack & MSD, Using EPFEAM and Elastic-Plastic Finite Element Alternating Method (EPFEAM), Proc. FAA/NASA Symposium on Continued Airworthiness of Aircraft Structures, Pages: 505-518, Atlanta, GA, 1996.
Quadrelli, B.M.; Atluri, S.N. Primal and Mixed Variational Principles for Dynamics of Spatial Beams, AIAA Journal, Volume: 34, Issue: 11, Pages: 2395-2400, 1996.
Beom, H.G.; Atluri, S.N. Near-Tip Fields & Intensity Factors for Interfacial Cracks in Dissimilar Anisotropic Piezoelectric Media, Int. Journal of Fracture, Volume: 75, Pages: 163-183, 1996.
Wang, L.; Atluri, S.N. Recent Advances in the Alternating Method for Elastic and Inelastic Fracture Analyses, Computer Methods in Applied Mechanics & Engineering, Volume: 137, Pages: 1-58, 1996.

1995
Naganarayana, B. P.; Atluri, S.N. Multi-Domain Modeling and Analysis of Delaminated Stiffened Composite Shells, AIAA Journal, 1995.
Okada, H.; Suzuki, Y.; Ma, L.; Lam, P.W.; Pyo, C.R.; Atluri, S.N.; Kobayashi, A.S. Plane Stress Crack Growth and Integral - An Experimental-Numerical Analysis Computational Engineering Science '95, Springer Verlag, Pages: 2148-2153, 1995.
Kim, T.; Atluri, S.N. Optimal Through-Thickness Temperature Gradients for Control of Interlaminar Stresses in Composite , AIAA Journal, Volume: 33, Issue: 4, Pages: 730-739, 1995.
Park, J. H. ; Singh, R.; Pyo, C.R.; Atluri, S.N. Structural Integrity of Fuselage Panels with Multi-Site Damage, Journal of Aircraft (AIAA), Volume: 32, Issue: 3, Pages: 656-663, 1995.
Park, J.; Singh, R.; Pyo, C.R.; Atluri, S.N An Elastic-Plastic Finite Element Alternating Method for Analyzing Wide-Spread Fatique Damage in Aircraft Structures, Computational Mechanics, Volume: 16, Pages: 62-68, 1995.
Wang, L.; Atluri, S.N. An Implementation of the Schwartz-Neumann Alternating Method for Collinear Multiple Cracks with Mixed Type Boundary Conditions, Computational Mechanics, Volume: 16, Issue: 4, Pages: 266-271, 1995.
O'Donoghue, P. E.; Pipkins, D. S.; Atluri, S.N. Computational Strategies for Fatigue Crack Growth in Three-Dimensions with Application to Aircraft Components, Engineering Fracture Mechanics, Volume: 52, Issue: 1, Pages: 51-64, 1995.
Beom, H. G.; Atluri, S.N. Dependence of Stress on Elastic Constants in an Anisotropic Bimaterial Under Plane Deformation, and the Interfacial Crack, Computational Mechanics, Volume: 16, Pages: 106-113, 1995.
Vasudevan, S.; Okada, H.; Atluri, S.N. Development of New Spatially Curved Frame Finite Element for Crash Analysis, Part I: Formulation and Validation, Computational Mechanics, 1995.
Pan, G.; Atluri, S.N. Dynamic Response of Finite-Sized Elastic Runways Subjected to Moving Loads:-Coupled BEM/FEM Approach, International Journal of Numerical Methods in Engineering, Volume: 38, Pages: 3143-3167, 1995.
Naganarayana, B. P., and Atluri, S.N., Energy-Release-Rate Evaluation for Delamination Growth Prediction in a Multi-Plate Medal of a Composite Laminate, Computational Mechanics, Volume: 15, Pages: 443-459, 1995.
Park, J., Singh, R., Pyo, C.-R., and Atluri, S.N. Integrity of Aircraft Structural Elements with Multi-Site Fatigue Damage, Engineering Fracture Mechanics, Volume: 51, Issue: 3, Pages: 361-380, 1995.
Pyo, C.-R.; Okada, H.; Atluri, S.N. Residual Strength Prediction for Aircraft Panels with Multiple Site Damage, Using EPFEAM for Stable Crack Growth Analysis, Computational Mechanics, Volume: 16, Issue: 3, Pages: 190-196, 1995.
Lee, H.; Im, S.; Atluri, S.N. Strain Localization in an Orthotropic Material with Plastic Spin, International Journal of Plasticity, Volume: 11, Issue: 4, Pages: 423-450, 1995.
Naganarayana, B. P.; Atluri, S.N. Strength Reduction and Delamination Growth in Thin and Thick Composite Plates Under Compressive Loading, Computational Mechanics, Volume: 16, Pages: 170-189, 1995.
Chow, W.T.; Atluri, S.N. Stress-Intensity Factors as the Fracture Parameters for Delamination Crack Growth in Composite Laminates, Composite Engineering, 1995.
Jones, R.; Atluri S.N.; Hammond. S.; Williams, S. Developments in the analysis of interacting cracks, Engineering Failure Analysis. Volume: 1, Issue: 1, Pages: 307-320. 1995.
Beom, H. G.; Atluri, S.N. Asymptotic Analysis of Subinterface Crack in Dissimilar Orthotropic Media, Engineering Fracture Mechanics, Volume: 52, Issue: 5, Pages: 777-790, 1995.
Chow, W.T.; Beom, H. G.;Atluri, S.N. Calculation of Stress Integrity Factors for an Interfacial Crack Between Dissimilar Anisotropic Media, Using a Hybrid Element Method and the Mutual Integral, Computational Mechanics, Volume: 15, Pages: 546-557, 1995.
Iura, M.; Atluri, S.N. Dynamic Analysis of Planar Flexible Beams with Finite Rotations by Using Inertial & Rotating Frames, Computers & Structures, Volume: 55, Issue: 3, Pages: 453-462, 1995.
Chow, W.T.; Atluri, S.N. Finite Element Calculation of Stress-Intensity Factors for Interfacial Crack Using Virtual Crack Closure Integral, Computational Mechanics, Volume: 16, Pages: 1-9, 1995.
S.N. Atluri.; A. Cazzani, Rotations in Computational Solid Mechanics, Invited Feature Article, Archives for Computational Methods in Engg., ICNME, Barcelona, Spain, Volume: 2, Issue: 1, Pages: 49-138, 1995.

1994
Kim, T.; Atluri, S.N. Interlaminar Stresses in Composite Laminates Under Out-of-Plane Shear/Bending, AIAA Journal, Volume: 32, Issue: 8, Pages: 1700-1708, 1994.
Singh, R.; Park, J. H.; Atluri, S.N. Growth of Multiple Cracks and Their Linkup in a Fuselage Lap Joint, AIAA Journal, Volume: 32, Issue: 11, Pages: 2260-2268, 1994.
Shenoy, V. B.; Potyondy, D. O.; Atluri, S.N. A Methodology for Computing Nonlinear Fracture Parameters for a Bulging Crack in a Pressurized Aircraft Fuselage, Computational Mechanics, Volume: 14, Pages: 529-548, 1994.
Kim, T.; Atluri, S.N. Analysis of Edge Stresses in Composite Laminates Under Combined Thermo-Mechanical Loading, Using a Complimentary Energy Approach, Computational Mechanics, Volume: 16, Pages: 83-97, 1994.
Iura, M.; Atluri, S.N. Dynamic Analysis of Planar Flexible Beams with Finite Rotations by Using Inertial & Rotating Frames, Computers & Structures, 1994.
Ramakrishnan, N.; Atluri, S.N. On Shear Band Formation, I: Constitutive Relationship for a Dual Yield Model, International Journal of Plasticity, Volume: 10, Issue: 5, Pages: 499-520, 1994.
Ramakrishnan, N.; Atluri, S.N. On Shear Band Formation, II: Simulation Using the Finite Element Method, International Journal of Plasticity, Volume: 10, Issue: 5, Pages: 521-534, 1994.
Okada, H.; Atluri, S.N. Recent Devlopments in the Field-Boundary Element Method for Finite/Small Strain Elastoplasticity, International Journal for Solids and Structures, Volume: 31, Issue: (12/13), Pages: 1737-1775, 1994.
Huang, B.Z.; Atluri, S.N. Simple Method to Follow Post-Buckling Paths in Finite Element Analysis, Computers and Structures, Volume: 57, Issue: 3, Pages: 477-489, 1994.
Wang, L. H.; Atluri, S. N. An Analysis of an Explicit Algorithm and the Radial Return Algorithm, and a Proposed Modification, in Finite Plasticity, Computational Mechanics, Volume: 13, Issue: 5, Pages: 380-389, 1994.
Seki, W.; Atluri, S.N. Analysis of Strain Localization in Strain-Softening Hyperelastic Materials, Using Assumed Stress Hybrid Elements, Computational Mechanics, Volume: 14, Pages: 549-585, 1994.
Ramakrishnan, N.; Atluri, S.N. Simulation of Shear Band Formation in Plane Strain Tension and Compression Using FEM, Mechanics of Materials, Volume: 17, Pages: 307-317, 1994.
Singh, R.; Park, J. H.; Atluri, S.N. Residual Life and Strength Estimates of Aircraft Structural Components with MSD/MED, Proceedings of the FAA/NASA International Symposium on Aging Aircrafts, 1994.
Huang, B.Z.; Shenoy, V. B.; Atluri, S.N. A Quasi-Conforming Triangular Laminated Composite Shell Element Based on a Refined First-Order Theory, Computational Mechanics, Volume: 13, Pages: 295-314, 1994.

1993
Pipkins, D. S.; Atluri, S.N. Nonlinear Analysis of Wave Propagation Using Transform Method, Computational Mechanics, Volume: 11, Pages: 207-227, 1993.
Nikishkov, G. P.; Atluri, S.N. An Analytical-Numerical Alternating Method of Elastic-Plastic Analysis of Cracks, Computational Mechanics, Volume: 13, Issue: 6, Pages: 427-442, 1993.
Kouri, J. V.; Atluri, S.N. Analytical Modeling of laminated Composites, Composites Science and Technology, Volume: 46, Pages: 335-344, 1993.
Park, J. H.; Atluri, S.N. Fatigue Growth of Multiple Cracks Near a Row of Fastener Holes in fuselage Lap Joint, Computational Mechanics, Volume: 13, Issue: 3, Pages: 189-203, 1993.
Cazzani, A.; Atluri, S.N. Four-Noded Finite Elements Using Unsymmetric Stresses, for Linear Analysis of Membranes, Computational Mechanics, Volume: 11, Pages: 229-251, 1993.
Nikishkov, G. P.; Atluri, S.N. Implementation of a Generalized Midpoint Algorithm for Integration of Elasto-Plastic Constitutive Relations for Von Mises' Hardening Material, Computers and Structures, Volume: 49, Issue: 6, Pages: 1037-1044, 1993.
Atluri, S. N. Nonsingular Toughening and R-Curve Behavior in Nominally Pure Alumina, International Journal of Fracture, Volume: 59, Pages: 361-375, 1993.
Parry, K. E.; Epstein, J.; Okada, H.; Atluri, S.N. Experimental R-Curve Behavior in Partially Stabilized Zirconia Using Moire Interferometry, Acta Metallurgica et Materialia, volume: 41, Issue: 2, Pages: 361-368, 1993.

1992
Shi, G.; Atluri, S.N. Nonlinear Dynamic Response of Space-Frames with Hysteritic Damping at the Joints, AIAA Journal, Volume: 30, Issue: 1, Pages: 234-240, 1992.
Okada, H.; Zhao, W.; Sampath, S. G.; Atluri, S.N. A Computational Approach to Determining the Depth of Surface Flaws by the ACPD Technique, Engineering Fracture Mechanics, Volume: 43, Pages: 911-921, 1992.
Park, J. H.; Ogiso, H.; Atluri, S.N. Analysis of Cracks in Aging Aircraft Structures, with and without Composite-Patch Repairs, Computational Mechanics, Volume: 10, Pages: 169-201, 1992.
Okada, H.; Tamura, T.; Ramakrishnan, N.; Epstein, J. S.; Atluri, S.N. Analysis of Toughening of Magnesia-Partially Stabilized Zirconia, Due to Dilatational Transformation, Acta metallurgica et Materialia, Volume: 40, Issue: 6, Pages: 1421-1432, 1992.
Iura, M.; Atluri, S.N. Formulation of a Membrane Finite Element with Drilling Degrees of Freedom, Computational Mechanics, Volume: 9, Issue: 6, Pages: 417-428, 1992.
Ramakrishnan, N. Atluri, S.N. On Shear Band Formation-II: Simulation Using the Finite Element Method, Journal of the Mechanics and Physics of Solids, 1992.
Yoda, T.; Atluri, S.N. Post-Buckling Analysis of Stiffened Laminated Composite Panels, Using a Higher-Order Shear Deformation Theory, Computational Mechanics, Volume: 9, Issue: 6, Pages: 390-404, 1992.
Okada, H.; Atluri, S.N. Some Recent Developments in the Field-Boundary Element Method for Finite/Small Strain Elastoplasticity, Nonlinear Problems of Solid Mechanics (Developments in BEM-8), P.K. Banerjee, Ed., Elsevier Science, 1992.

1991
Rajiyah, H.; Atluri, S.N. Analysis of Embedded and Surface Elliptical Flaws in Transversely Isotropic Bodies by the Finite Element Alternating Method, Journal of Applied Mechanics, Volume: 113, Pages: 435-443, 1991.
Liao, C. Y.; Atluri, S.N. A Finite-Element-Alternating Method for Evaluation of Stress Intensity Factors for Part-Circular Cracks Subjected to Arbitrary Loadings, Computer Meth. in Appl. Mechanics and Engineering, Pages: 1253-1270, 1991.
Liao, C. Y.; Atluri, S.N. An Alternating Technique for Evaluating Weight Functions for 3-D Surface Flaws in Finite Solid Bodies, International Journal of Numerical Methods in Engineering, Volume: 32, Pages: 1339-1361, 1991.
Ramakrishnan, N. Okada, H. Atluri, S.N. Computer Simulation of Transformation Induced Plasticity Using Finite Element Method, Acta Metallurgica et Materialia, Volume: 39, Issue: 6, Pages: 1297-1308, 1991.
Chien, C. C.; Rajiyah, H.; Atluri, S.N. On the Evaluation of Hyper-Singular Integrals Arising in the Boundary Element Method for Linear Elasticity, Computational Mechanics, Volume: 8, Pages: 57-70, 1991.
Borri, M.; Mello, F.; Atluri, S.N. Variational Approaches for Dynamics and Time-Finite-Elements:-Numerical Studies, Computational Mechanics, Volume: 7, Issue: 1, Pages: 49-76, 1991.
Park, J. H.; Ogiso, H.; Atluri, S.N. Analysis of Cracks in Aging Aircraft Structures, with and without Composite-Patrising in the Boundary Element Method for Linear Elasticity, Computational Mechanics, Volume: 8, Pages: 57-70, 1991.
Borri, M.; Mello, F.; Atluri, S.N. Primal and Mixed Forms of Hamilton's Principle for Constrained Rigid Body Systems:-Numerical Studies, Computational Mechanics, Volume: 7, Issue: 3, Pages: 205-220, 1991.

1990
Kuna, M.; Rajiyah, H.; Atluri, S.N. A Novel Boundary-Element Alternating Method for Weight Functions, Using Bueckner's Fundamental Solution, International Journal of Fracture, Pages: R51-R59, 1990.
Chen, K.L.; Atluri, S.N Weight Functions for Mixed-Mode Multiple Cracks in Anisotropic Media by VCE and FEM Alternating Methods, Engineering Fracture Mechanics, Volume: 36, Issue: 2, Pages: 327-340, 1990.
Chen, K.L.; Atluri, S. N. A Finite-Difference Alternating Method for Cost-Effective Determination of Weight-Functions for Orthotropic Materials in Mixed-Mode Fracture, Engineering Fracture Mechanics, Volume: 36, Pages: 327-340, 1990.
Shi, G.; Atluri, S.N. Active Control of Nonlinear Dynamic Response of Space-Frames Using Piezo-Electric Actuators, Computers and Structures, Volume: 34, Issue: 4, Pages: 549-564, 1990.
Toi, Y.; Atluri, S.N Finite Element Analysis of Static and Dynamic Fracture of Brittle Microcracking Solids, Part 1:-Formulation and Simple Numerical Examples, International Journal of Plasticity, Volume: 6, Pages: 169-188, 1990.
Toi, Y.; Atluri, S.N. Finite Element Analysis of Static and Dynamic Fracture of Brittle Microcracking Solids, Part 2:-Stationary and Growing Macro-Cracks Under Static Loading, International Journal of Plasticity, Volume: 6, Pages: 263-280, 1990.
Toi, Y.; Atluri, S.N. Finite Element Analysis of Static and Dynamic Fracture of Brittle Microcracking Solids, Part 3:-Stationary and Rapidly Propagating Cracks Under Dynamic Loading, International Journal of Plasticity, Volume: 6, Pages: 389-414, 1990.
Okada, H.; Rajiyah, H.; Atluri, S.N. A Full Tangent Stiffness Field-Boundary Element Formulation for Geometric and Material Nonlinear Problems of Solid Mechanics, International Journal of Numerical Method in Engineering, Volume: 29, Pages: 15-35, 1990.
Chien, C. C.; Rajiyah, H.; Atluri, S.N. An Effective Method for Solving the Hyper-Singular Integral Equations in 3-D Acoustics, Journal of the Acoustical Society of America, Volume: 88, Issue: 2, Pages: 918-937, 1990.
Nishioka, T.; Atluri, S.N. The First Order Variation of the Displacement Field Due to Geometrical Changes in an Elliptical Crack, Journal of Applied Mechanics, ASME, Volume: 57, Issue: 3, Pages: 639-646, 1990
Borri, M.; Mello, F.; Atluri, S.N. Time Finite Element Methods for Large Rotational Dynamics of Multibody Systems, Computers and Structures, Volume: 37, Issue: 2, Pages: 231-240, 1990.

1989
Chen, K.L.; Atluri, S.N. A Comparison of Energy Release Rate Calculations by EDI and Crack Closure Integral Methods, Engineering Fracture Mechanics, Volume: 34, Issue: 4, Pages: 935-956, 1989.
Atluri, S.N. Computational Techniques for Inelastic Stress and Fracture Analyses, Nuclear Engineering and Design, Volume: 116, Pages: 329-342, 1989.
Rajiyah, H.;Atluri, S.N. Evaluation of K-Factors and Weight Functions for 2-D Mixed-Mode Multiple Cracks by the Boundary Element Method, Engineering Fracture Mechanics, Volume: 32, Issue: 6, Pages: 911-922, 1989.
Yoshimura, S. Y.; Yagawa, G.; Atluri, S.N. Generation and Propagation Analysis of High-Strain-Rate Dynamic Crack Propagation in a Visco-Plastic Solid, Nuclear Engineering and Design, Volume: 111, Pages: 273-289, 1989.
Iura, M.; Atluri, S. On a Consistent Theory and Variational Formulation, of Finitely Stretched and Rotated 3-D Space-Curved Beams, Computational Mechanics, Volume: 4, Issue: 1, Pages: 73-88, 1989.
Nishioka, T.; Atluri, S.N. On the Path Independent Integral T* in Nonlinear and Dynamic Fracture Mechanics, Nuclear Engineering and Design, 1989.
Liao, C.Y.; Atluri, S.N. Stress Intensity Factor Variation along a Semi-Circular Surface Flaw in a Finite-Thickness Plate, Engineering Fracture Mechanics, Volume: 34, Issue: 4, Pages: 957-976, 1989.
Im, S.; Atluri, S.N. Effects of a Piezo-Actuator on a Finitely Deformed Beam Subjected to General Loading, AIAA Journal, Volume: 27, Issue: 12, Pages: 1801-1807, 1989.
Okada, H.; Rajiyah, H.; Atluri, S.N. Non-Hyper-Singular Integral-Representations for Velocity (Displacement) Gradients in Elastic/Plastic Solids, Computational Mechanics, Volume: 4, Issue: 3, Pages: 165-175, 1989.
Reissner, E.; Atluri, S.N. On the Formulation of Variational Theorems Involving Volume Constraints, Computational Mechanics, Volume: 5, Issue: 5, Pages: 337-344, 1989.
Shi, G.; Atluri, S.N. Static & Dynamic Analysis of Space Frames with Non-Linear Flexible Connections, International Journal of Numerical Method and Engineering, Volume: 28, Pages: 2635-2650, 1989.

1988
Okada, H., Rajiyah, H., and Atluri, S.N. Novel Field Boundary element Methods for Finite Strain elasto-Plasticity, Part I:-Formulation, Computers and Structures, Volume: 30, Issue: (1/2), Pages: 275-288, 1988.
Nishioka, T.; Atluri, S.N. Computational Studies on Path-Independent Integral for Nonlinear Dynamic Crack Problems, Computational Mechanics, Volume: 3, Issue: 5, Pages: 331-342, 1988.
Iura, M.; Atluri, S.N. Dynamic Analysis of Finitely Stretched and Rotated 3-D Space Curved Beams, Computers & Structures, Volume: 29, Issue: 5, Pages: 875-889, 1988.
Shi, G.; Atluri, S.N. Elasto-Plastic Large Deformation Analysis of Space Frames:-A Plastic-Hinge and Stress-Based Explicit Derivation of Tangent Stiffnesses, International Journal of Numerical Method and in Engineering, Volume: 26, Pages: 586-615, 1988.
Okada, H.; Rajiyah, H.; Atluri, S.N. Some Recent Developments in Finite Strain Elastoplasticity Using the Field Boundary Element Method," Computational Mechanics, 88:-Theory and Application, S.N. Atluri, G. Yagawa, Eds., Springer, paper 4.i, 1988.
Nikishkov, G. P.; Atluri, S.N. Three-Dimensional Elastic-Plastic Integral Calculations for Semi-elliptical Surface Flaws in a Tensile Plate, Engineering Fracture Mechanics, Volume: 29, Issue: 1, Pages: 81-88, 1988.
Rajiyah, H.;Atluri, S.N. Evaluation of K-Factors and Weight Functions for 2D Mixed-Mode Multiple Cracks by the Boundary Element Method, Computational Mechanics '88:-Theory and Applications, S.N. Atluri and G. Yagawa, Eds., Springer, paper 11.i., 1988.
Kondoh, K.; Hangai, M.; Atluri, S.N. Large Deformation, Post-Buckling Analyses of Large Space Frame Structure, Using Explicitly Derived Tangent Stiffness Matrices," Computational Mechanics, 88:-Theory and Application, S.N. Atluri, G. Yagawa, Eds., Springer, paper 28.iii, 1988.
Okada, H.; Rajiyah, H.; Atluri, S.N. Non-Hyper-Singular-Integral Representations for Velocity (Displacement) Gradients in Elastic/Plastic Solids Undergoing Small Finite Deformations, Computational Mechanics '88:-Theory and Application, S.N. Atluri, G. Yagawa, Eds., Springer, paper 3.i, 1988.
Reissner, E.; Atluri, S.N. On the Formulation of Variational Theorems Involving Volume Constraints, Computational Mechanics '88:-Theory and Application, S. Atluri, G. Yagawa, Eds., Springer, Paper 6.i, 1988.
Okada, H.; Rajiyah, H.; Atluri, S.N. A Novel Displacement Gradient Boundary Element Methods for Elastic Stress Analysis with High Accuracy, Journal of Applied Mechanics, Volume: 55, Pages: 786-794, 1988.
Zhang, J. D.; Atluri, S.N. Post-Buckling Analysis of Shallow Shells by the Field-Boundary-Element Method, International Journal of Numerical Methods in Engineering, Volume: 26, Pages: 571-587, 1988.

1987
Simon, H.; O'Donoghue, P. Atluri, S.N. A Finite Element-Alternating Technique for Evaluating Mixed-Mode Stress Intensity Factors for Part-Elliptical Cracks, International Journal of Numerical Methods and Engineering, Volume: 24, Issue: 7, Pages: 689-709, 1987.
Yoshimura, S.; Chen, K.-L.; Atluri, S.N. A Study of Two Alternate Tangent Modulus Formulations, and Attendant Implicit Algorithms for Creep as well as High-Strain Rate Plasticity, International Journal of Plasticity, Volume: 3, Issue: 4, Pages: 391-414, 1987.
Im, S.; Atluri, S.N. A Study of Two Finite Strain Plasticity Models: An Internal Time Theory Using Mandle's Director Concept and a Combined Isotropic-Kenematic Hardening Theory, International Journal of Plasticity, Volume: 3, Pages: 163-191, 1987.
Noor, A. K.; Atluri, S.N. Advances and Trends in Computational Structural Mechanics, AIAA Journal, Special Survey Paper, Volume: 25, Issue: 7, Pages: 977-995, 1987.
Nikishkov, G. P.; Atluri, S.N. An Equivalent Domain Integral Method for Computing Crack-Tip Parameters in Non-Elastic Thermo-Mechanical Fracture, Engineering Fracture Mechanics, Volume: 26, Pages: 851-868, 1987.
O'Donoghue, P. E.; Atluri, S.N. Field/Boundary Element Approach to the Large Deflections of Thin Plates, Computers and Strutures, Volume: 27, Issue: 3, Pages: 427-436, 1987.
Kondoh, K.; Atluri, S.N. Large-Deformation Elasto-Plastic Analysis of Frames Under Non-Conservative Loading, Using Explicitly Derived Tangent Stiffnesses Based on Assumed Stresses, Computational Mechanics, Volume: 2, Issue: 1, Pages: 1-25, 1987.
Nikishkov, G. P.; Atluri, S.N. Calculation of Fracture Mechanics Parameters for an Arbitrary 3-D Crack by the EDI Method, International Journal for Numerical Methods and Engineering, Volume: 24, Pages: 1801-1822, 1987.

1986
Zhang, J. D.; Atluri, S.N. A Boundary/Interior Element Method for Quasi-Static and Transient Response Analyses of Shallow Shells, Computers and Structures, Volume: 24, Issue: 2, Pages: 213-224, 1986.
Brust, F. W.; Atluri, S.N. A Combined Numerical/Experimental Study of Ductile Crack Growth After a Large Unloading, Using T*, J, and CTOA Criteria, Engineering Fracture Mechanics, Volume: 23, Pages: 537-550, 1986.
Kondoh, K.; Tanaka, K.; Atluri, S.N. An Explicit Expression for the Tangent-Stiffness of a Finitely Deformed 3-D Beam and Its Use in the Analysis of Space Frames, Computers and Structures, Volume: 24, Issue: 2, Pages: 253-272, 1986.
Brust, F. W.; Atluri, S.N. Control of Dynamic Response of a Continuum Model of a Large Space Structure, Computers and Structures, Volume: 23, Issue: 2, Pages: 199-210, 1986.
Nakagaki, M.; Atluri, S.N. Crack-Tip Parameters and Temperature Rise in Dynamic Crack-Propagation, Engineering Fracture Mechanics, Volume: 23, Issue: 2, Pages: 167-182, 1986.
Brust, F. W.; Nishioka, T.; Atluri, S.N. Further Studies on Elastic-Plastic Stable Fracture Using the T* Integral, Engineering Fracture Mechanics, Volume: 22, Issue: 6, Pages: 1079-1103, 1986.
Punch, E. F.; Atluri, S.N. Large Displacement Analysis of Plates by a Stress-Based Finite Element Approach, Computers and Structures, Volume: 24, Issue: 1, Pages: 107-118, 1986.
Brust, F.; Atluri, S.N. Studies in Creep Crack Growth Using the T* Integral, Engineering Fracture Mechanics, Volume: 23, Issue: 3, Pages: 551-574, 1986.
Atluri, S.N. Energetic Approaches and Path-Independent Integrals in Fracture Mechanics, Computational Methods in the Mechanics of Fracture, Chapter 5, S.N. Atluri, Ed., Pages: 121-165, 1986.
Watanabe, O.; Atluri, S.N. Constitutive Modeling of Cyclic Plasticity and Creep, Using an Internal Time Concept, International Journal of Plasticity, Volume: 2, Issue: 2, Pages: 107-134, 1986.
Watanabe, O.; Atluri, S.N. Internal Time, General Internal Variable, and Multi-Yield Surface Theories of Plasticity & Creep:-A Unification of Concepts, International Journal of Plasticity, Volume: 2, Issue: 1, Pages: 37-57, 1986.
Rhee, H. C.; Atluri, S.N. Polygon-Circle Paradox in the Bending of Simply Supported Circular Plates, Computers and Structures, Volume: 22, Issue: 4, Pages: 553-558, 1986.
Kondoh, K.; Atluri, S.N. A Simplified Finite Element Method for Large Deformation, Post-Buckling Analysis of Large Frame Structures, Using Explicitly Derived Tangent Stiffness Matrices, International Journal of Numerical Methods in Engineering, Volume: 23, Pages: 69-90, 1986.

1985
Atluri, S. N. An Endochronic Approach and Other Topics in Small and Finite Deformation Computational Elasto-plasticity, Finite Element Methods for Numerical Problems, Europe-US Symposium, Trondheim Norway 1985.
Atluri, S. N. Notes and Comments on Computational Elasto-Plasticity: Some New Models and Their Numerical Implementation, Proc. Int. Conf. Finite Elements in Computational Mechanics, Bombay, India, 2-6 December 1985.
Watanabe, O.; Atluri, S. N. A New Endochronic Approach to Computational Elastoplasticity: Example of a Cyclically Loaded Cracked Plate, Journal of Applied Mechanics, Volume: 52, 1985.
O'Donoghue, P.; Nishioka, T.; Atluri, S.N. Analysis of Interaction Behavior of Surface Flaws in Pressure Vessels, Journal of Pressure Vessel Technology, Volume: 108, Issue: 5, Pages: 24-32, 1985.
Kondoh, K.; Atluri, S.N. Influence of Local Buckling on Global Instability:-Simplified Large Deformation, Post-Buckling Analysis of Plane Trusses, Computers and Structures, Volume: 24, Issue: 4, Pages: 613-626, 1985.
Tanaka, K.; Kondoh, K.; Atluri, S.N. Instability Analysis of Space Trusses Using Exact Tangent-Stiffness Matrices, Finite Elements in Analysis & Design, Volume: 2, Issue: 4, Pages: 291-311, 1985.
O'Donoghue, P. E.; Nishioka, T.; Atluri, S.N. Multiple, Coplanar, Embedded Elliptical Cracks, in an Infinite Solid Subject to Arbitrary Crack Face Tractions, International Journal of Numerical Method and Engineering, Volume: 21, Pages: 437-449, 1985.
Kondoh, K.; Atluri, S.N. A Simplified Finite Element Method for Large Deformation, Post-Buckling Analysis of Large Frame Structures, Using Explicitly Derived Tangent Stiffness Matrices, International Journal of Numerical Methods in Engineering, Volume: 23, Pages: 69-90, 1986.
Reed, K. W.; Atluri, S.N. Constitutive Modeling and Computational Implementation in Finite Strain Plasticity, International Journal of Plasticity, Volume: 1, Issue: 1, Pages: 63-87, 1985.
Nishioka, T.; Atluri, S.N. Numerical Studies in Dynamic Fracture Mechanics, International Journal of Fracture, Volume: 27, Pages: 245-261, 1985.
Xue, W.M.; Karlovitz, L. A.; Atluri, S.N. On the Existences and Stability Conditions for Mixed-Hybrid Finite Element Solutions Based on Reissner's Variational Principle, International Journal of Solids and Structures, Volume: 21, Issue: 1, Pages: 97-116, 1985.
Kuang, Z.B.; Atluri, S.N. Temperature Fields Due to a Moving Heat Source:-A Moving Mesh Finite Element Analysis, Journal of Applied Mechanics, Volume: 52, Issue: 2, Pages: 274-280, 1985.

1984
Nishioka, T.; Atluri, S.N. Path-Independent Integral and Moving Isoparametric Elements for Dynamic Crack Propagation, AIAA Journal, Volume: 22, Issue: 3, Pages: 409-415, 1984.
Punch, E.; Atluri, S.N. Least-Order, Stable, Invariant, Isoparametric Hybrid Finite Elements for Linear Continua and Finitely Deformed Plates, Proceedings of the 25th AIAA/ASME/ASCE Structures, Structural Dynamics and Materials Conference, Pages: 190-202, Palm Springs, CA, 1984.
Punch, E. F.; Atluri, S.N. Applications of Isoparametric Three-Dimensional Hybrid-Stress Finite Elements with Least-Order Stress Fields, Computers and Structures, Volume: 19, Issue: 3, Pages: 409-430, 1984.
Reed, K. W.; Atluri, S.N Hybrid Stress Finite Elements for Large Deformations of Inelastic Solids, Computers and Structures, Professor K. Washizu Memorial Issue, Volume: 19, Issue: (1-2), Pages: 175-182, 1984.
Nishioka, T.; Atluri, S.N. Incremental Path-Independent Integrals in inelastic and Dynamic Fracture Mechanics, Engineering Fracture Mechanics, Volume: 20, Issue: 2, Pages: 209-244, 1984.
Karamanlidis, D.; Atluri, S.N. Mixed Finite Element Models for Plate Bending Analysis:-A New Element and Its Applications, Computers and Structures, Volume: 19, Issue: 4, Pages: 565-581, 1984.
Atluri, S.N. Mixed Finite Element Models for Plate Bending Analysis:-Theory, Computers and Structures, Volume: 19, Issue: 3, Pages: 431-445, 1984.
O'Donoghue, P. E.; Nishioka, T.; Atluri, S.N. Multiple Surface Cracks in Pressure Vessels, Engineering Fracture Mechanics, Volume: 20, Issue: 3, Pages: 545-560, 1984.
Nishioka, T.; Atluri, S.N. On the Computation of Mixed-Mode K-Factors for a Dynamically Propagating Crack, Using Path-Independent Integrals J'k, Engineering Fracture Mechanics, Volume: 20, Pages: 193-208, 1984.
Yang, C.T.; Atluri, S.N. An Assumed 'Deviatoric Stress-Pressure-Velocity' Mixed Finite Element Method for Unsteady, Convective, Incompressible Viscous Flow:-Part I-Theoretical Development, International Journal of Numerical Method in Fluids, Volume: 3, Pages: 377-398, 1984.
Yang, C.T.; Atluri, S.N. An Assumed 'Deviatoric Stress-Pressure-Velocity' Mixed Finite Element Method for Unsteady, Convective, Incompressible Viscous Flow:-Part II- Computational Studies, International Journal of Meth. Fluids, Volume: 4, Pages: 43-69, 1984.
Punch, E.; Atluri, S.N. Development and Testing of Stable, Invariant, Isoparametric Curvilinear 2- and 3-D Hybrid Stress Elements, Computer Methods in Applied Mechanics and Engineering, Volume: 47, Issue: 3, Pages: 331-356, 1984.
Atluri, S.N. On Constitutive Relations at Finite Strain: Hypo-Elasticity and Elasto-Plasticity with Isotropic or Kinematic Hardening, Computer Methods in Applied Mechanics and Engineering, Volume: 43, Issue: 2, Pages: 137-171, 1984.
Atluri, S.N. Computational Solid Mechanics (Finite Elements and Boundary Elements):-Present Status and Future Directions, Proceedings of the 4th International Conference on Applied Numerical Modeling, H.M. Hsia, et al, Eds., Pages: 19-37, 1984
Atluri, S.N. Alternate stress and conjugate strain measures, and mixed variational formulations involving rigid rotations, for computational analyses of finitely deformed solids, with application to plates and shells—I: Theory, Computers and Structures, Volume: 18, Issue: 1, Pages: 93–116, 1984.

1983
Atluri S. N. HIGHER ORDER, SPECIAL AND SINGULAR FINITE ELEMENTS, STATE OF THE ART SUVEYS ON FINITE ELEMENT TECHNOLOGY, CHAPTER 4, The American Society of Mechanical Engineers, New York, 1983.
Nishioka, T.; Perl, M.; Atluri, S.N. An Analysis of Dynamic Fracture in an Impact Test Specimen, Journal of Pressure Vessel Technology, Transactions of the ASME, Volume: 105, Issue: 2, Pages: 124-131, 1983.
Atluri. S.N.; Gallagher, R.H.; Zienkiewicz, O.C. Hybrid and Mixed Finite Element Methods, Wiley Interscience, New York, 1983.
Nishioka, T.; Atluri, S.N. Dynamic Crack Propagation Analysis Using a New Path-Independent Integral and Moving Isoparametric Elements, Proceedings of the 24th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Lake Tahoe, CA, Pages: 180-190, 1983.
Fukuchi, N.; Atluri, S.N. Finite Deformation Analysis of Shells:-A Hybrid Finite Element Method Based on Assumed Stress-Function Vector and Rotation Tensor, 24th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Conference, Lake Tahoe, CA, Pages: 205-215, 1983.
Bratianu, C.; Atluri, S.N A Hybrid Finite Element Method for Stokes Flow:-Part I-Formulation and Numerical Studies, Computer Methods in Applied Mechanics and Engineering, Volume: 26, Pages: 24-37, 1983.
Bratianu, C.; Atluri, S.N. A Hybrid Finite Element Method for Stokes Flow:-Part II-Stability and convergence Studies, Computer Methods in Applied Mechanics and Engineering, Volume: 36, Pages: 39-60, 1983.
Nishioka, T.; Atluri, S.N. A Numerical Study of the Use of Path Independent Integrals in Elasto-Dynamic Crack Propagation, Engineering Fracture Mechanics, Volume: 18, Issue: 1, Pages: 23-33, 1983.
Nishioka, T.; Atluri, S.N. An Alternating Method for Analysis of Surface flawed Aircraft Structural Components, AIAA Journal, Volume: 21, Issue: 5, Pages: 749-757, 1983.
Reed, K.; Atluri, S.N. Analysis of Large Quasi-static Deformation of Inelastic Bodies by a New Hybrid-Stress Finite Element Algorithm: Applications, Comp. Meth. in Applied Mechanics and Engineering, Volume: 40, Pages: 171-198, 1983.
Reed, K.; Atluri, S.N. Analysis of Large Quasi-static Deformations of Inelastic Bodies by a New Hybrid-Stress Finite Element Algorithm, Comp. Methods in Applied Mechanics and Engineering, Volume: 39, Pages: 245-295, 1983.
Rubinstein, R.; Atluri, S.N. Objectivity of Incremental Constitutive Relations Over Finite Time Steps in Computational Finite Deformation Analysis, Computational Methods and Applications on Mechanical Engineering, Volume: 36, Pages: 277-290, 1983.
Nishioka, T.; Atluri, S.N. Path-Independent Integrals, Energy Release Rates, and General Solutions of Near-Tip Fields in Mixed-Mode Dynamic Fracture Mechanics, Engineering Fracture Mechanics, Volume: 18, Issue: 1, Pages: 1-22, 1983.
Nishioka, T.; Atluri, S.N. Analytical Solution for Embedded Elliptical Cracks and Finite Element Alternating Method for Elliptical Surface Cracks Subjected to Arbitrary Loadings, Engineering Fracture Mechanics, Volume: 17, Issue: 3, Pages: 247-268, 1983.
Rubinstein, R.; Punch, E.; Atluri, S.N. An Analysis of, and Remedies for, Kinematic Models in Hybrid-Stress Finite Elements: Selection of Stable, Invariant Stress Fields, Comp. Methods in Applied Mechanics and Engineering, Volume: 38, Issue: 1, Pages: 63-92, 1983.

1982
Nishioka, T.; Atluri, S.N. Analysis of Surface Flaw in Pressure Vessels by a New 3-Dimensional Alternating Method, Journal of Pressure Vessel Technology, ASME, Volume: 104, Pages: 299-307, 1982.
Nishioka, T.; Atluri, S.N. Integrity Analyses of Surface-Flawed Aircraft Attachment Lugs:-A New Inexpensive 3-D Alternating Method, 22nd AIAA/ASME/ASCE/AHS Structural and Materials Conference, Pages: 287-301, New Orleans, 1982.
Nishioka, T.; Atluri, S.N. A Method for Determining Dynamic Stress Intensity Factors from COD Measurement at the Notch Mouth in Dynamic Tear Testing, Engineering Fracture Mechanics, Volume: 16, Pages: 333-339, 1982.
Nishioka, T.; Atluri, S.N, A Simple Estimation Method of Stress Intensity Factors for Through Cracks in Angle-Ply Laminates, Engineering Fracture Mechanics, Volume: 16, Issue: 4, Pages: 573-583, 1982.
Nishioka, T.; Atluri, S.N. Finite Element Simulation of Fast Fracture in Steel DCB Specimen, Engineering Fracture Mechanics, Volume: 16, Issue: 2, Pages: 157-175, 1982.
Rhee, H. C.; Atluri, S.N. Hybrid-Stress Finite Element Analysis of Bending of a Plate with a Through Flaw, International Journal for Numerical Methods in Engineering, Volume: 18, Pages: 259-271, 1982.
Nishioka, T.; Atluri, S.N. Numerical Analysis of Dynamic Crack Propagation:-Generation and Prediction Studies, Engineering Fracture Mechanics, Volume: 16, Issue: 3, Pages: 303-332, 1982.
Stonesifer, R. B.; Atluri, S.N., On a Study of the (T)c and C* Integrals for Fracture Analysis under Non-Steady Creep, Engineering Fracture Mechanics, Volume: 16, Issue: 5, Pages: 625-643, 1982.
Atluri, S.N. Path-Independent Integrals in Finite Elasticity and Inelasticity with Body Forces, Inertia, and Arbitrary Crack-Face Conditions, Engineering Fracture Mechanics, Volume: 16, Issue: 3, Pages: 341-364, 1982.
Nishioka, T.; Atluri, S.N. Stress Analysis of Holes in Angle-Ply Laminates:-An Efficient Assumed Stress 'Special-Hole-Element' Approach and a Simple Estimation Method, Computers and Structures, Volume: 15, Pages: 135-147, 1982.
Nishioka, T.; Atluri, S.N. Stress Analysis of Holes in Angle-Ply Laminates:-An Efficient Assumed Stress 'Special-Hole-Element' Approach, Computers and Structures, Volume: 15, Pages: 135-147, 1982.
Atluri, S.N. Path-Independent Integrals in Finite Elasticity and Inelasticity with Body Forces, Inertia, and Arbitrary Crack-Face Conditions, Engineering Fracture Mechanics, Volume: 16, Issue: 3, Pages: 341-364, 1982.

1981
Atluri, S. N. Murakawa, H. New General and Complementary Energy Theorems, Finite Strain, Rate Sensitive Inelasticity and Finite Elements: Some Computational Studies, In: Wunderlich W., Stein E., Bathe KJ. (eds) Nonlinear Finite Element Analysis in Structural Mechanics. Springer, Berlin, Heidelberg, 1981
Nishioka, T.; Atluri, S.N. Analysis of Cracks in Adhesively Bonded Metallic Laminates by a 3-Dimensional Assumed Stress Hybrid FEM, 22nd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Atlanta, GA, Pages: 1-5, 1981.
Murakawa, H.; Atluri, S.N. Finite Deformations, Finite Rotations, and Stability of Plates:-A New Complementary Energy-Finite Element Analysis, 22nd AIAA/ASME/ASCE/AHS Structures of Structural Dynamics & Materials Conference, Atlanta, GA, Pages: 7-15, 1981.
Nishioka, T.; Stonesifer, R. B.; Atluri, S.N. An Evaluation of Several Moving singularity Finite Element Models for Fast Fracture Analysis, Engineering Fracture Mechanics, Volume: 15, Issue: (1-2), Pages: 205-218, 1981.
Murakawa, H.; Reed, K. W.; Rubinstein, R.; Atluri, S.N. Stability Analysis of Structures via a New Complementary Energy Method, Computers & Structures, Volume: 13, Pages: 11-18, 1981.
Vijaykumar, K.; Atluri, S.N. An Embedded Elliptical Crack, in an Infinite Solid, Subject to Arbitrary Crack-Face Tractions, Journal of Applied Mechanics, Volume: 103, Issue: 1, Pages: 88-96, 1981.

1980
Kathiresan, K.; Atluri, S.N. Influence of Flaw Shapes on Stress Intensity Factors for Pressure Vessel Surface Flaws and Nozzle Corner Cracks, Journal of Pressure Vessel Technology, Volume: 102, Pages: 278-286, 1980.
Nakagaki, M.; Atluri, S.N. An Elastic-Plastic Analysis of Fatique Crack Closure in Modes I and II, AIAA Journal, Volume: 18, Issue: 9, Article No. 79-0758R, Pages: 1110-1117, 1980.
Bratianu, C.; Atluri, S.N. A Stress-Hybrid Finite Element Method for Stokes Flow, Letters in Heat and Mass Transfer, Volume: 7, Pages: 227-233, 1980.
Nishioka, T.; Atluri, S.N. Assumed Stress Finite Element Analysis of Through-Cracks in Angle-Ply Laminates, AIAA Journal, Volume: 18, Issue: 9, Article No. 79-0801R, Pages: 1125-1132, 1980.
Nakagaki, M.; Kathiresan, K.; Atluri, S.N. Hybrid-Finite-Element Analysis of Some Nonlinear and 3-Dimensional Problems of Engineering Fracture Mechanics, Computers and Structures, Volume: 12, Pages: 511-520, 1980.
Rhee, H.C.; Atluri, S.N. On the Accuracy of Finite Element Solutions of Problems with Traction Boundary Conditions, Mathematical Modelling, Volume: 5, Pages: 103-108, 1980.
Kathiresan, K.; Atluri, S.N. Stress Intensity Factor Solutions for Arbitrarily Shaped Surface Flaws in Reactor Pressure Vessel Nozzle corners, International Journal of Pressure Vessels and Piping, Volume: 8, Pages: 313-322, 1980.
Rhee, H.C.;Atluri, S.N. On the Accuracy of Finite Elements Solutions of Problems with Traction Boundary Conditions, 3rd International Conference on Finite Elements in Water Resources, Volume: 2, Pages: 7.79-7.88, 1980.
Nishioka, T.;Atluri, S.N. Stress Analysis of Holes in Angle-Ply Laminates:-An Efficient Assumed Stress 'Special-Hole-Element' Approach, AIAA/ASME/ASCE/AHS 21st Structures, Structural Dynamics and Materials Conference, Seattle, WA, Pages: 295-301, 1980.
Bass, R.; Bryson, J. W.; Kathiresan, K.; Atluri, S.N. Noz-Flaw:-A Computer Program for Direct Evaluation of K-Factors for Pressure-Vessel Nozzle Corner Cracks, NUREG/CR-1843/ORNL/NUREG/CSD/TM-18 (Prepared for U.S. Nuclear Regulatory Com-mission by Oak Ridge National Labs), 52 pages, November 1980.
Nishioka, T.; Atluri, S.N. Numerical Modeling of Dynamic Crack Propagation in Finite Bodies, by Moving Singular Elements, Part 1: Formulation, Journal of Applied Mechanics, Volume: 47, Pages: 570-576, 1980.
Nishioka, T.; Atluri, S.N. Numerical Modeling of Dynamic Crack Propagation in Finite Bodies, by Moving Singular Elements, Part 2: Results, Journal of Applied Mechanics, Volume: 47, Pages: 577-582, 1980.
Atluri, S.N. On Some New General and Complementary Energy Theorems for the Rate Problems in Finite Strain, Classical Elastoplasticity, Journal of Structural Mechanics, Volume: 8, Issue: 1, Pages: 61-92, 1980.

1979
Nakagaki, M.; Chen, W. H.; Atluri, S.N. A Finite-Element Analysis of Stable Crack Growth-I, Elastic-Plastic Fracture, ASTM/STP, Volume: 668, Pages: 195-213, 1979.
Nishioka, T.; Atluri, S.N. Fracture-Stress Analysis of Through-Cracks and Holes in Angle-Ply Laminates:-An Efficient Assumed-Stress Finite Element Approach, Part I, AIAA/ASME/ASCE/AHS 20th Structures, Structural Dynamics, and Materials Conference, St. Louis, MO, Pages: 315-325, 1979.
Quinlan, P. M.; Grannell, J. J.; Fitzgerald, J. E.; Atluri, S.N. Boundary Discretization Using the Edge-Function method in Three-Dimensional Elasticity, Journal of Applied Mathematical Modeling, Volume: 3, Pages: 18-24, 1979.
Quinlan, P. M.; Fitzgerald, J. E.; Atluri, S.N. Boundary-Discretization Using the Edge-Function Method, Journal of Applied Mathematical Modeling, Volume: 3, Issue: 1, Pages: 18-26, 1979.
Nakagaki, M.; Atluri, S.N. Fatique Crack Closure and Delay Effects Under Mode I Spectrum Loading:-An Efficient Elastic-Plastic Analysis Procedure, Fatique of Engineering Material and Structures, Volume: 1, Pages: 421-429, 1979.
Murakawa, H.; Kobayashi, A. S.; Atluri, S.N. Numerical Modeling of Nonlinear Behavior of Soft Biological Materials, Journal of Applied Mathematical Modeling, Volume: 3, Pages: 228-231, 1979.
Atluri, S.N.; Kathiresan, K. 3-D Analysis of Surface Flaws in Thick-Walled Reactor Pressure Vessels Using Displacement-Hybrid Finite Element Method, Nuclear Engineering and Design, Volume: 51, Issue: 2, Pages: 163-176, 1979.
Murakawa, H.; Atluri, S.N. Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle-Part II: Incompressible Materials, Journal of Applied Mechanics, ASME 70-APM-6, Pages: 71-78, 1979<
Atluri, S.N. On Rate Principles for Finite Strain Analysis of Elastic and Inelastic Nonlinear Solids, Recent Research on Mechanical Behavior, University of Tokyo Press, Pages: 79-107, 1979.

1978
Murakawa, H.; Atluri, S.N. Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complimentary Energy Principle, Journal of Applied Mechanics, Volume: 45, Issue: 3, Pages: 539-547, 1978.
Rhee, H. C.; Atluri, S.N. On Traction Boundary Conditions in Hybrid-Stress Finite Element Model, Journal of American Institute of Aeronautics and Astronautics, Volume: 16, Issue: 5, Pages: 529-533, 1978.
Kathiresan, K.; Atluri, S.N. Stress Analyses of Typical Flaws in Aerospace Structural Components Using 3-D Hybrid Displacement Finite Method, 19th AIAA/ASME/SAE Structures, Structural Dynamics and Materials Conference, Bethesda, MD, Pages: 340-351, 1978.
Murakawa, H.; Atluri, S.N. Numerical Modelling of Nonlinear Behavior of Soft Biological Materials, Numerical Modelling of Nonlinear Processes, E. Alarcon, Ed., University of Madrid Press, Madrid, Pages: 170-182, 1978.
Quinlan, P.M.; Grannell, J.J.; Fitzgerald, J.E.; Atluri, S.N. Boundary Discretization Using the Edge-Function Method in Three-Dimensional Elasticity, International conference on Recent Advancement in Boundary Element Methods, University of Southampton, Pages: 120-134, 1978.
Quinlan, P. M.; Fitzgerald, J. E.; Atluri, S.N. The Edge-Function Method, Scientific Report, NSF Grant, ENG-76-16418, GIT Report SCEGIT-78-169, ESM-78-1, 66 pages, 1978.
Murakawa, H.; Atluri, S.N. Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complimentary Energy Principle, Journal of Applied Mechanics, Volume: 45, Issue: 3, Pages: 539-547, 1978.
Grannell, J. J.; Atluri, S.N. Boundary Element Methods (BEM) and Combination of BEM-FEM, GIT-ESM-SNA-78-16, 74, Pages: 1978.

1977
Nakagaki, M.; Atluri, S.N. J-Integral Estimates for Strain Hardening Materials in Ductile Fracture Problems, AIAA Journal, Volume: 15, Issue: 7, Pages: 923-931, 1977.
Cheng, J. S.; Kobayashi, A. S.; Atluri, S.N. Assumed Displacement Hybrid Finite Element Method for Nonlinear Elastic and Elastic-Plastic Analyses, AIAA 18th Structures, Structural Dynamic and Materials Conference, San Diego, Pages: 240-251, 1977.
Atluri, S.N.; Murakawa, H. On Hybrid Finite Element Models in Nonlinear Solid Mechanics, Finite Elements in Nonlinear Mechanics, P.G. Bergan et al, Eds., Tapir Press, Norway, Volume: 1, Pages: 3-40, 1977.

1976
Nakagaki, M.; Atluri, S.N. J-Integral Estimates for Strain-Hardening Materials in Ductile Fracture Problem, AIAA Journal, Volume: 15, Issue: 7, Pages: 923-931, 1976.
Nakagaki, M.; Atluri, S.N. J-Integral Estimates for Strain-Hardening Materials in Ductile Fracture Problem, AIAA/ASME/SAE 17th Structures, Structural Dynamics and Materials Conference, Valley Forge, PA, Pages: 140-150, 1976.

1975
Atluri, S.N.; Nakagaki, M .; Kobayashi, A. S. Fracture Mechanics Application of an Assumed Displacement Hybrid Finite Element Procedure, AIAA Journal, Volume: 13, Issue: 6, Pages: 734-739, 1975.
Atluri, S.N.; Kobayashi, A.S.; Nakagaki, M. A Finite-Element program for Fracture Mechanics Analysis of Composite Material, Fracture mechanics of Composites, ASTM-STP, Volume: 593, Pages: 86-98, 1975.
Atluri, S.N.; Kobayashi, A. S.; Cheng, J. S. Brain Tissue Fragility - A Finite Strain Analysis on a Hybrid Finite-Element Method, Journal of Applied Mechanics, Volume: 42, Issue: 1, Pages: 269-272, 1975.
Crawford, J. G.; Atluri, S.N. Non-Linear Vibrations of a Flat Plate with Initial Stresses, Journal of Sound & Vibration, Volume: 43, Issue: 1, Pages: 117-129, 1975.
Atluri, S.N.; Kobayashi, A. S.; Nakagaki, M. An Assumed Displacement Hybrid Finite Element Model for Linear Fracture Mechanics, International Journal of Fracture, Volume: 11, Issue: 2, Pages: 257-271, 1975.
Atluri, S.N. On 'Hybrid' Finite Element Models in Solid Mechanics, Advances in Computer Methods for Partial Differential Equations, R. Vichrevetsky, Ed., AICA, Pages: 346-355, 1975.

1973
Atluri, S.N. Nonlinear Vibrations of a Hinged Beam Including Nonlinear Inertia Effects, Journal of Applied Mechanics, ASME, 72-APM-51, Pages: 121-126. 1973.
Atluri, S.N. On the Hybrid Stress Finite Element Model for Incremental Analysis of Large Deflection Problems, International Journal of Solids and Structures, Volume: 9, Issue: 10, Pages: 1177-1191, 1973.

1972
Atluri, S.N.; Pian, T. H. H. Theoretical Formulation of Finite-Element Methods in Linear-Elastic Analysis of General Shells, Journal of Structural Mechanics, Volume: 1-1, Pages: 1-41, 1972.
Atluri, S.N. A Perturbation Analysis of Non-Linear Free Flexural Vibrations of a Circular Cylindrical Shell, International Journal of Solids & Structures, Volume: 8, Pages: 549-569, 1972.

1971
Atluri, S.N. A New Assumed Stress Hybrid Finite Element Model for Solid Continua, AIAA Journal, Volume: 9, Issue: 8, Pages: 1647-1649, 1971.
Atluri, S.N. An Assumed Stress Hybrid Finite Element Model for Linear elastodynamic Analysis, AIAA Journal, Volume: 11, Issue: 7, Pages: 1028-1031, 1971.

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1. Selvadurai, A.P.S.; Atluri, S. N.,(Eds) "Contact Mechanics in the Engineering Sciences", Tech Science Press, 2010

Atluri, S.N., Yagawa, G., and Cruse, T.A (Editors).

Computational Mechanics '9 5, Vols. I, 1506 pages, Springer-Verlag, 1995.

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