A Vanishing Viscosity Approach to Quasistatic Evolution in Plasticity with Softening |
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Authors: | Gianni Dal Maso Antonio DeSimone Maria Giovanna Mora Massimiliano Morini |
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Institution: | (1) SISSA, Via Beirut 2-4, 34014 Trieste, Italy |
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Abstract: | We deal with quasistatic evolution problems in plasticity with softening, in the framework of small strain associative elastoplasticity.
The presence of a nonconvex term due to the softening phenomenon requires a nontrivial extension of the variational framework
for rate-independent problems to the case of a nonconvex energy functional. We argue that, in this case, the use of global
minimizers in the corresponding incremental problems is not justified from the mechanical point of view. Thus, we analyse
a different selection criterion for the solutions of the quasistatic evolution problem, based on a viscous approximation.
This leads to a generalized formulation in terms of Young measures, developed in the first part of the paper. In the second
part we apply our approach to some concrete examples. |
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