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 varia- tional 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 corre- sponding 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. © 2008 Springer-Verlag.
|Titolo:||A vanishing viscosity approach to quasistatic evolution in plasticity with softening|
|Autori:||Dal Maso, G.; Desimone, A.; Mora, M.G.; Morini, M.|
|Rivista:||ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS|
|Data di pubblicazione:||2008|
|Digital Object Identifier (DOI):||10.1007/s00205-008-0117-5|
|Appare nelle tipologie:||1.1 Journal article|