부산대학교 도서관

The authors consider antiplane shearing motions of an incompressible visco-plastic solid. The particular constitutive equation employed assumes that the stress tensor has an ''elastic'' component and a component which can exhibit hysteresis. The model exhibits both ''kinematic'' and ''isotropic'' hardening. Our results consist of a set of energy type estimates for the resulting system, L{sub 2} contractivity estimates for the solution operator, and finally an analysis of the approach of our system to a ''rate independent'' model as a distinguished parameter describing our flow rule approaches zero. We also include some computational results for simple piecewise constant data.