Published Paper

Inserted: 17 jul 2009
Last Updated: 28 sep 2013

Journal: Discrete Contin. Dyn. Syst. Ser. A.
Volume: 27
Number: 3
Pages: 1189-1217
Year: 2010
Doi: 10.3934/dcds.2010.27.1189

Abstract:

The spatially uniform case of the problem of quasistatic evolution in small strain associative elastoplasticity with softening is studied. Through the introdution of a viscous approximation, the problem reduces to determine the limit behaviour of the solutions of a singularly perturbed system of ODE's in a finite dimensional Banach space. We see that the limit dynamics presents, for a generic choice of the initial data, the alternation of three possible regimes (elastic regime, slow dynamics, fast dynamics), which is determined by the sign of two scalar indicators, whose explicit expression is given.

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