Localization of deformations in elastic‐plastic solids

Jean-Herve Prevost

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

Localization of deformation in elastic‐plastic solids subject to plane strain deformation are investigated numerically. It is shown that the localization may be captured accurately in finite element models by employing (1) the elastic‐plastic material stiffness to form the global stiffness, (2) in the case of symmetrical configurations, an imperfection in the form of a weak element, and (3) in the case of incompressible materials, a reduced selective integration scheme which alleviates mesh ‘locking’. Accuracy of the technique is demonstrated by applying it to analyse the classical punch and slope stability problems. Its versatility is illustrated by applying it to analyse finite deformation problems and shear bands formations in associative and non‐associative elastic‐plastic solids.

Original languageEnglish (US)
Pages (from-to)187-196
Number of pages10
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Volume8
Issue number2
DOIs
StatePublished - Jan 1 1984

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Materials Science(all)
  • Geotechnical Engineering and Engineering Geology
  • Mechanics of Materials

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