Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion |
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Authors: | Jean-François Babadjian Maria Giovanna Mora |
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Institution: | 1. Laboratoire de Mathématiques d''Orsay, Univ. Paris-Sud, CNRS, Université Paris-Saclay, 91405 Orsay, France;2. Dipartimento di Matematica, Università di Pavia, via Ferrata 1, 27100 Pavia, Italy |
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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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Keywords: | Elasto-plasticity Convex analysis Quasi-static evolution Regularity Functions of bounded deformation Capacity |
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