Implementation of a generalized midpoint algorithm for integration of elastoplastic constitutive relations for von mises' hardening material

G. P. Nikishkov, S. N. Atluri

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)1037-1044
Number of pages8
JournalComputers and Structures
Volume49
Issue number6
DOIs
StatePublished - Dec 17 1993

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