Exact integration of constitutive equations in elasto-plasticity

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Abstract

A unified approach is presented for establishing exact integration of the constitutive equations in elastoplasticity, assuming the total strain-rate direction to be constant. This unified approach includes all previous exact integration procedures as special cases and, in addition, some new closed-form solutions are derived for combined kinematic and isotropic hardening. Special emphasis is laid on combined kinematic and isotropic hardening for von Mises' material and on isotropic hardening for Mohr-Coulomb and Tresca materials.

Details

Authors
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Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mechanical Engineering

Keywords

  • Closed form solutions, Constitutive equations, Isotropic hardening, Kinematic hardening, Mohr Coulomb materials, Tresca materials, von Mises' materials, Finite element method
Original languageEnglish
Pages (from-to)2525-2544
JournalInternational Journal for Numerical Methods in Engineering
Volume36
Issue number15
Publication statusPublished - 1993
Publication categoryResearch
Peer-reviewedYes

DOI