Regularity properties of solutions to elastic plastic problems with hardening

Mon, 09/03/2009
17:00
Jens Frehse (Bonn) Partial Differential Equations Seminar Add to calendar Gibson 1st Floor SR
We consider problems of elastic plastic deformation with isotropic and  kinematic hardening. A dual formulation with stresses as principal variables is used.  We obtain several results on Sobolev space regularity of the stresses  and strains. In particular, we obtain the existence of a full derivative of the  stress tensor up to the boundary of the basic domain. Finally, we present an outlook for obtaining further regularity  results in connection with general nonlinear evolution problems.