Fractional Interior Differentiability of the Stress Velocities to Elastic Plastic Problems with Hardening

Frehse, Jens ; Specovius-Neugebauer, Maria

Bollettino dell'Unione Matematica Italiana, Tome 5 (2012), p. 469-494 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

We consider classical variational inequalities modeling elastic plastic problems with kinematic and isotropic hardening. It is shown that the stress velocities have fractional derivatives of order $1/2 - \delta$ in $L^2$ in time direction on the whole existence interval. In space direction an analogous result holds in the interior of the domain. In the case of kinematic hardening, these results are also true for the strain velocity.

Détail

Publié le : 2012-10-01

MR 3051733 | Zbl 1278.35242

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