Galerkin-based Time Integrators for Geometrically Nonlinear Elasto-Plastodynamics

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)