TY - JOUR
T1 - Implementation of a generalized midpoint algorithm for integration of elastoplastic constitutive relations for von mises' hardening material
AU - Nikishkov, G. P.
AU - Atluri, S. N.
N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1993/12/17
Y1 - 1993/12/17
N2 - This paper presents a detailed description of the computer implementation of a generalized midpoint algorithm for integration of constitutive relations for von Mises' hardening material. A nonlinear scalar equation for determination of the plastic multiplier is derived. The solution of this equation for a hardening material, by the Newton-Raphson method, usually converges in three-four iterations. The results obtained by the generalized midpoint method for the hollow sphere under internal pressure are compared with analytical and converged subincrementation solutions. A pseudocode of the algorithm and a module in the C programming language is given in the Appendix.
AB - This paper presents a detailed description of the computer implementation of a generalized midpoint algorithm for integration of constitutive relations for von Mises' hardening material. A nonlinear scalar equation for determination of the plastic multiplier is derived. The solution of this equation for a hardening material, by the Newton-Raphson method, usually converges in three-four iterations. The results obtained by the generalized midpoint method for the hollow sphere under internal pressure are compared with analytical and converged subincrementation solutions. A pseudocode of the algorithm and a module in the C programming language is given in the Appendix.
UR - http://www.scopus.com/inward/record.url?scp=0027840462&partnerID=8YFLogxK
U2 - 10.1016/0045-7949(93)90015-6
DO - 10.1016/0045-7949(93)90015-6
M3 - Article
AN - SCOPUS:0027840462
VL - 49
SP - 1037
EP - 1044
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
IS - 6
ER -