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Numerical results for an elasto‐plastic Cosserat model with more than one million dof in 3D
Author(s) -
Müller Wolfgang,
Neff Patrizio,
Wieners Christian
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810557
Subject(s) - von mises yield criterion , infinitesimal , finite element method , nonlinear system , mathematics , yield (engineering) , mathematical analysis , plasticity , element (criminal law) , structural engineering , engineering , physics , law , thermodynamics , quantum mechanics , political science
We present a finite element implementation of a infinitesimal elasto–plastic Cosserat model allowing for non–symmetric stresses. We use the von Mises yield criterion and restrict plastic effects to the classical elastic response as in the perfect plastic case. We review the nonlinear equations for the weak formulation of the problem. Numerical results are presented for 3D example with more than one million degrees of freedom. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)