A study of two alternate tangent modulus formulations and attendant implicit algorithms for creep as well as high-strain-rate plasticity

S. Yoshimura, K. L. Chen, S. N. Atluri

Research output: Contribution to journalArticle

18 Scopus citations

Abstract

Two alternate tangent modulus formulations based on the use of material characteristics expressed as {A figure is presented}υp = g(ε{lunate}υp,σ) and σ = h (ε{lunate}υp{A figure is presented}υp), respectively, are prese for the analysis of material response under conditions such as high temperature creep and high strainrate dynamic plasticity. In each formulation, implicit algorithms of generalized midpoint radial mapping are presented to compute stress histories at a material point. Several examples to illustrate the stability, accuracy, and convergence of the presented computational methodologies are included. In each instance, the two alternate tangent modulus approaches lead to results of comparable accuracy and compare excellently with each other as well as other available independent solutions.

Original languageEnglish
Pages (from-to)391-413
Number of pages23
JournalInternational journal of plasticity
Volume3
Issue number4
DOIs
StatePublished - 1987

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