Calculus of Variations and Geometric Measure Theory

G. Dal Maso - A. DeSimone - M. G. Mora - M. Morini

Globally stable quasistatic evolution in plasticity with softening

created by morini on 23 Apr 2007
modified by mora on 19 Sep 2008


Published Paper

Inserted: 23 apr 2007
Last Updated: 19 sep 2008

Journal: Netw. Heterog. Media
Volume: 3
Pages: 567-614
Year: 2008


We study a relaxed formulation of the quasistatic evolution problem in the context of small strain associative elastoplasticity with softening. The relaxation takes place in spaces of generalized Young measures. The notion of solution is characterized by the following properties: global stability at each time and energy balance on each time interval. An example developed in detail compares the solutions obtained by this method with the ones provided by a vanishing viscosity approximation, and shows that only the latter capture a decreasing branch in the stress-strain response.

Keywords: Young Measures, relaxation, plasticity with softening, quasistatic evolution