Global existence for a model with complete damage
by
Alexander Mielke
WIAS Berlin
Coauthors: Guy Bouchitte and Tomas Roubicek

We consider a rate-independent damage model involving the gradient of the damage variable. For partial damage global existence of energetic solutions can be shown in quite general situations. If we allow for complete damage, the system degenerates and displacements are no longer defined. We propose a model that involves only the damage variable, the stresses and energy densities. We are able to show that this model is the evolutionary Gamma limit of the problems with partial damage, when the threshold tends to zero.

Date received: July 3, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavj-90.