Calculus of Variations and Geometric Measure Theory
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J. F. Babadjian - G. A. Francfort

On spatial hyperbolicity for Hencky plasticity: the scalar-valued case

created by babadjian on 15 May 2020
modified on 19 May 2020

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Preprint

Inserted: 15 may 2020
Last Updated: 19 may 2020

Year: 2020

Abstract:

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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