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A finite element method for plane stress problems with large elastic and plastic deformations

  • E. Kirchner
  • , S. T. Reese
  • , P. Wriggers*
  • *Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer review

Abstract

A two-dimensional finite element method is developed for large deformation plasticity. Principal axes are used for the description of the material behaviour, and the use of principal logarithmic stretches leads to exact formulae for finite deformation problems with large elastic and plastic strains. An efficient return mapping algorithm and the corresponding consistent tangent are derived and applied to plane stress problems. Two examples show the performance of the proposed formulation.

Original languageEnglish
Pages (from-to)963-976
Number of pages14
JournalCommunications in Numerical Methods in Engineering
Volume13
Issue number12
DOIs
Publication statusPublished - 4 Dec 1998
Externally publishedYes

Keywords

  • Finite strain plasticity
  • Finite stress
  • Plane stress

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • General Engineering
  • Computational Theory and Mathematics
  • Applied Mathematics

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