Carnegie Mellon
Department of Mathematical 

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
Time: 1:30 P.M.
Location: PPB 300