Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion - Archive ouverte HAL Access content directly
Journal Articles Journal of Differential Equations Year : 2018

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

Maria Giovanna Mora
  • Function : Author
  • PersonId : 937692

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.
Fichier principal
Vignette du fichier
BabadjianMora.pdf (434.27 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01445466 , version 1 (24-01-2017)

Identifiers

Cite

Jean-François Babadjian, Maria Giovanna Mora. Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion. Journal of Differential Equations, 2018, 264 (8), pp.5109-5151. ⟨hal-01445466⟩
329 View
251 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More