(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2008) Mainik, Andreas; Mielke, Alexander
We provide a global existence result for the time-continuous
elastoplasticity problem using the energetic formulation. For this we show
that the geometric nonlinearities via the multiplicative decomposition of the
strain can be controlled via polyconvexity and a priori stress bounds in
terms of the energy density. While temporal oscillations are controlled via
the energy dissipation the spatial compactness is obtain via the regularizing
terms involving gradients of the internal variables.
