On constitutive relations at finite strain: Hypo-elasticity and elasto-plasticity with isotropic or kinematic hardening

Research output: Contribution to journalArticle

124 Scopus citations

Abstract

The question of 'generalization' to finite strains of the constitutive relations of infinitesimal strain theory of elasticity, and classical elasto-plasticity with isotropic and kinematic hardening, is critically examined. Simple generalizations, which lead to physically plausible material behaviour, are presented. The current controversies surrounding (i) the choice of stress-rate in the above generalization and (ii) the 'anomaly' of oscillatory stresses in kinematic hardening plasticity, as discussed by E.H. Lee and others, are analyzed. It is found that these 'controversies' are easily resolvable.

Original languageEnglish
Pages (from-to)137-171
Number of pages35
JournalComputer Methods in Applied Mechanics and Engineering
Volume43
Issue number2
DOIs
StatePublished - Apr 1984

Fingerprint Dive into the research topics of 'On constitutive relations at finite strain: Hypo-elasticity and elasto-plasticity with isotropic or kinematic hardening'. Together they form a unique fingerprint.

  • Cite this