Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898846 | Journal of Differential Equations | 2018 | 43 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jean-François Babadjian, Maria Giovanna Mora,