01168nas a2200157   4500008004100000022001400041245008800055210006900143300000900212490000700221520061900228653003000847653003100877100002600908856007600934       2010                        eng d  a1078-094700aQuasistatic evolution for plasticity with softening: The spatially homogeneous case0 aQuasistatic evolution for plasticity with softening The spatiall  a11890 v273 a<p>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.</p>10aplasticity with softening10arate independent processes1 aSolombrino, Francesco  uhttp://aimsciences.org//article/id/4c2301d8-f553-493e-b672-b4f76a3ede2f