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arXiv · 1701.04309

Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion

Maria Giovanna Mora·Jean-François Babadjian
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Abstract

This work is devoted to establishing a regularity result for the stress tensor in quasi-static planar isotropic linearly elastic - perfectly plastic materials obeying a Drucker-Prager or Mohr-Coulomb yield criterion. Under suitable assumptions on the data, it is proved that the stress tensor has a spatial gradient that is locally squared integrable. As a corollary, the usual measure theoretical flow rule is expressed in a strong form using the quasi-continuous representative of the stress.

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Maria Giovanna Mora, Jean-François Babadjian. 2017-01-16. Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion. https://arxiv.org/abs/1701.04309

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