Local H~1 -regularity and H~(1/3-δ)-regularity up to the boundary in time dependent viscoplasticity

摘要

Local and boundary regularity for quasistatic initial-boundary value problems from viscoplasticity is studied. The problems considered belong to a general class with monotone constitutive equations modelling materials showing kinematic hardening. A standard example is the Melan-Prager model. It is shown that the strain/stress/internal variable fields have the regularity H~(4/3-δ)/H~(1/3-δ)/H~(1/3-δ) up to the boundary. The proof uses perturbation estimates for monotone operator equations.