Rate-independent problems are considered, where the stored energy density is a function of the gradient. The stored energy density may not be quasiconvex and is assumed to grow linearly. Moreover, arbitrary behaviour at infinity is allowed. In particular, the stored energy density is not required to coincide at infinity with a positively 1-homogeneous function. The existence of a rate-independent process is shown in the so-called energetic formulation.
|Number of pages||22|
|Journal||Esaim-Control Optimisation and Calculus of Variations|
|Early online date||21 Oct 2008|
|Publication status||Published - Jan 2010|