A large-deformation gradient theory for elastic-plastic materials: Strain softening and regularization of shear bands

Lallit Anand, Ozgur Aslan, Shawn A. Chester

Research output: Contribution to journalArticlepeer-review

84 Scopus citations

Abstract

We present a large deformation gradient theory for rate-independent, isotropic elastic-plastic materials in which in addition to the standard equivalent tensile plastic strain ̄ p, a variable e p is introduced for the purpose of regularization of numerical simulations of shear band formation under strain softening conditions. Specifically, in contrast to traditional gradient theories which are based on ̄ p and ∇̄ p, here we develop a theory which depends on ̄ p, ep, and the gradient ∇e p, with the latter chosen to represent a measure of the inhomogeneity of the microscale plasticity. We have numerically implemented a two-dimensional plane strain version of our theory in a commercial finite element program by writing a user-element subroutine. Representative examples which demonstrate the ability of the theory and its numerical implementation to satisfactorily model large-deformation strain-softening response accompanied by intense localized shear bands - with no pathological mesh-dependence - are provided.

Original languageEnglish (US)
Pages (from-to)116-143
Number of pages28
JournalInternational Journal of Plasticity
Volume30-31
DOIs
StatePublished - Mar 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

  • Finite elements
  • Plasticity
  • Shear bands
  • Strain gradients
  • Strain softening

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