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A discontinuous finite element method for elasto‐plasticity
Author(s) -
Hansbo Peter
Publication year - 2010
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1182
Subject(s) - plasticity , finite element method , polygon mesh , extended finite element method , tetrahedron , mixed finite element method , penalty method , compressibility , slip (aerodynamics) , smoothed finite element method , element (criminal law) , mathematics , computer science , mathematical analysis , structural engineering , geometry , mechanics , engineering , mathematical optimization , boundary knot method , physics , boundary element method , political science , law , thermodynamics , aerospace engineering
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. Copyright © 2008 John Wiley & Sons, Ltd.