On boundary regularity for the stress in problems of linearized elasto-plasticity

Abstract

We investigate regularity properties of the stress tensor near the boundary for models of elasto-plasticity in arbitrary dimension. Focusing on special geometries, namely on balls and infinite strips, we obtain L2-estimates for the tangential derivatives of the stress tensor near the boundary.

In addition, we establish L2-estimates for (the trace of) the stress tensor on the boundary.

Keywords

• boundary regularity
• linearized elasto-plasticity