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A discontinuous finite element method for elasto-plasticity

Journal article
Authors Peter Hansbo
Published in International Journal for Numerical Methods in Biomedical Engineering
Volume 26
Issue 6
Pages 780-789
ISSN 20407939
Publication year 2010
Published at Department of Mathematical Sciences, Mathematics
Pages 780-789
Language en
Links dx.doi.org/10.1002/cnm.1182
Keywords interior penalty, discontinuous Galerkin, elasto-plasticity
Subject categories Numerical analysis, Solid mechanics

Abstract

We propose an interior penalty discontinuous finite element method for small strain elasto-plasticity using triangular or tetrahedral meshes. A new penalty formulation suitable for plasticity, in particular allowing for inter-element slip, is introduced. The method is also locking free, which is crucial as the plastic zone may exhibit an incompressible response. Numerical results are presented.

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