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Galerkin‐based Time Integrators for Geometrically Nonlinear Elasto‐Plastodynamics
Author(s) -
Mohr Rouven,
Menzel Andreas,
Steinmann Paul
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610393
Subject(s) - integrator , galerkin method , conservation law , nonlinear system , dissipation , conservation of energy , time stepping , finite element method , consistency (knowledge bases) , balance (ability) , mathematics , angular momentum , energy balance , energy conservation , momentum (technical analysis) , classical mechanics , computer science , physics , mathematical analysis , thermodynamics , geometry , engineering , economics , medicine , computer network , quantum mechanics , electrical engineering , physical medicine and rehabilitation , finance , bandwidth (computing)
Computational modelling often demands the incorporation of dynamic effects. The consideration of computational elastoplastodynamics requires in particular advanced numerical techniques to satisfy the classical balance laws like balance of linear and angular momentum or the laws of thermodynamics. Regarding the thermodynamical consistency of elasto‐plastodynamics, the conservation of the total energy in the elastic case and the fulfilment of the dissipation inequality in the plastic case are very important. In this contribution we deal with a mechanically and thermodynamically consistent Galerkin‐based time‐stepping scheme for finite elasto‐plastodynamics. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)