Conservation Properties of Galerkin-Based Time-Stepping Schemes for Finite Elasto-Plasto-Dynamics

The consideration of plastic deformations in a dynamical framework is a demanding task in computational mechanics, compare also Armero 1, or Meng and Laursen 2. In this contribution, we follow the concepts which have been proposed for hyperelasticity by Gross 3 et al. and pick-up the general framework of Galerkin methods in space and time, developing time-stepping schemes for finite multiplicative elasto-plasto-dynamics, as suggested in Mohr 4 et al.. In this context, the algorithmic conservation properties of the resulting integrators strongly depend on the numerical computation of time integrals, particularly, if plastic deformations are involved. However, the application of adequate quadrature rules renders an excellent numerical performance of the proposed integrators