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An overlay‐type rheological model is presented, which is used to introduce viscosity in inviscid elasto‐plastic material laws with softening, in order to reduce the mesh‐dependency of Finite Element solutions. This model is intended to be an alternative to the well‐known visco‐plastic formulations of Perzyna and Duvaut–Lions. A time integration algorithm for the visco‐elastic model component is presented, being demonstrated in the paper, that it is unconditionally stable and oscillation‐free. The algorithm is tested in a problem with slip driven softening (von Mises material) and in a problem with decohesion driven softening (Cam‐Clay model). Figures showing the capability of the algorithm to regularize the solution are presented.
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Vítor Dias da Silva (2004) studied this question.
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