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TECHNICAL PAPERS

Computational Isotropic-Workhardening Rate-Independent Elastoplasticity

[+] Author and Article Information
S. Mukherjee

Department of Theoretical and Applied Mechanics, Cornell University, Kimball Hall, Ithaca, NY 14853e-mail: sm85@cornell.edu

C.-S. Liu

Department of Mechanical and Marine Engineering, Taiwan Ocean University, Keelung, Taiwane-mail: csliu@mail.ntou.edu.tw

J. Appl. Mech 70(5), 644-648 (Oct 10, 2003) (5 pages) doi:10.1115/1.1607356 History: Received March 17, 2002; Revised April 24, 2003; Online October 10, 2003
Copyright © 2003 by ASME
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References

Wilkins, M. L., 1964, “Calculation of Elastoplastic Flow,” Methods of Computational Physics, 3 , Academic Press, New York.
Hinton, E., and Owen, D. R. J., 1980, Finite Elements in Plasticity: Theory and Practice, Pineridge Press, Swansea, Wales.
Pinsky, P. M., Pister, K. S., and Taylor, R. L., 1981, “Formulation and Numerical Integration of Elasoplastic and Elastoviscoplastic Rate Constitutive Equations,” Report No. UCB/SESM-81/05, Department of Civil Engineering, University of California, Berkeley, CA.
Nagtegaal,  J. C., 1982, “On the Implementation of Inelastic Constitutive Equations With Special Reference to Large Deformation Problems,” Comput. Methods Appl. Mech. Eng., 33, pp. 469–484.
Simo,  J. C., and Taylor,  R. L., 1985, “Consistent Tangent Operators for Rate-Independent Elastoplasticity,” Comput. Methods Appl. Mech. Eng., 48, pp. 101–118.
Bonnet,  M., and Mukherjee,  S., 1996, “Implicit BEM Formulations for Usual and Sensitivity Problems in Elasto-Plasticity Using the Consistent Tangent Operator Concept,” Int. J. Solids Struct., 33, pp. 4461–4480.
Poon,  H., Mukherjee,  S., and Bonnet,  M., 1998, “Numerical Implementation of a CTO-Based Implicit Approach for the BEM Solution of Usual and Sensitivity Problems in Elasto-Plasticity,” Eng. Anal. Boundary Elem., 22, pp. 257–269.
Hong,  H.-K., and Liu,  C.-S., 1999, “Lorentz Group SOo(5,1) for Perfect Elastoplasticity With Large Deformation and a Consistency Numerical Scheme,” Int. J. Non-Linear Mech., 34, pp. 1113–1130.
Hong,  H.-K., and Liu,  C.-S., 2000, “Internal Symmetry in the Constitutive Model of Perfect Elastoplasticity,” Int. J. Non-Linear Mech., 35, pp. 447–466.
Liu,  C.-S., and Hong,  H.-K., 2001, “Using Comparison Theorem to Compare Corotational Stress Rates in the Model of Perfect Elastoplasticity,” Int. J. Solids Struct., 38, pp. 2969–2987.
Liu,  C.-S., 2001, “Cone of Non-Linear Dynamical System and Group Preserving Schemes,” Int. J. Non-Linear Mech., 36, pp. 1047–1068.

Figures

Grahic Jump Location
(a) Shearing stress as a function of shearing strain and (b) error in satisfying the consistency condition for the three proposed numerical schemes

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