Martin Kruzik, Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic
Evolutionary problems with linear growth
Energies with linear growth appear, for instance, in a macroscopic model of single-crystal plasticity in the case of infinite latent hardening. Here we study a problem where the stored energy density is a function of the gradient with linear growth at infinity. Moreover, its arbitrary behaviour at infinity is allowed. Besides the stored energy functional, we consider also a dissipation functional measuring the energy dissipation associated to a change of internal variables. The evolution is triggered by a time-dependent external force. The existence of a rate-independent process is shown in the so-called energetic formulation. This is a joint work with Johannes Zimmer (U of Bath).
TUESDAY, September 30, 2008