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Parallel simulation of an infinitesimal elasto‐plastic Cosserat model
Author(s) -
Neff Patrizio,
Müller Wolfgang,
Wieners Christian
Publication year - 2010
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.201010007
Subject(s) - infinitesimal , convergence (economics) , mathematics , finite element method , nonlinear system , continuous modelling , variational inequality , dependency (uml) , mathematical analysis , physics , computer science , structural engineering , engineering , software engineering , quantum mechanics , economics , economic growth
We review the continuous and fully‐discrete problem setting of an elasto‐plastic Cosserat model, which is an enhanced continuum model with independent rotational degrees of freedom. The continuous model is defined by a variational inequality, and for the discrete model a corresponding non‐smooth nonlinear variational problem is derived which can be solved with a generalized Newton method. We present numerical results for two representative geometries, where we test the convergence for different finite element discretizations, we study the parameter dependency, and we demonstrate the efficiency of the parallel solution method for very large problem sizes (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)