On spatial hyperbolicity for Hencky plasticity: the scalar-valued case
Résumé
We investigate a scalar two-dimensional version of the simplest model for plasticity, namely Hencky plasticity. Under the assumption that the stress reaches its threshold on an open set, we analyze the hyperbolicity properties of the equations that govern the plastic strain and give a precise description of the possible geometries of the characteristics, as well as of the possible associated solution fields on that set.
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