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On the effect of different parameterizations of the flow rule on the efficiency of variational constitutive updates
Author(s) -
Bleier Nikolaus,
Bruhns Otto T.,
Mosler Jörn
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010131
Subject(s) - constitutive equation , scheme (mathematics) , plasticity , flow (mathematics) , mathematics , mathematical optimization , computer science , mathematical analysis , finite element method , physics , geometry , thermodynamics
The numerical efficiency of so‐called variational constitutive updates for finite strain plasticity theory is analyzed. These updates compute the unknowns such as the plastic strains by minimizing an appropriate functional. Within the present paper, different parameterizations of the flow rule are utilized within the variational constitutive update scheme. It is shown that comparing to the return‐mapping algorithm, the variational updates require significantly less iteration steps and thus, is numerically highly efficient. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)