Mathematics – Analysis of PDEs
Scientific paper
2007-04-23
Mathematics
Analysis of PDEs
43 pages
Scientific paper
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.
DeSimone Antonio
Maso Gianni Dal
Mora Maria Giovanna
Morini Massimiliano
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