Quasistatic problems in viscoplasticity theory
Hans‐Dieter Alber, Krzysztof Chełmiński · 2002
We study the existence theory to quasistatic initial-boundary value problems with internal variables, which model the viscoelastic or viscoplastic behavior of solids at small strain. In these problems a system of linear partial differential equations coupled with a nonlinear system of differential equations or differential inclusions must be solved. The solution theory is based on monotonicity properties of the differential equations or differential inclusions. The article gives an essentially complete account of the recent progress.