PINNING AND DEPINNING OF NEARLY FLAT MARTENSITIC INTERFACES IN A HETEROGENEOUS ENVIRONMENT

Dr. Patrick Dondl (Hausdorff Center for Mathematics, University of Bonn)

We study a model for the evolution of martensitic phase boundaries. A limiting energy functional for the self-energy of a nearly flat phase boundary is derived in the sense of Γ-convergence. This approximate model is shown to exhibit a transition from a linear kinetic relation to stick-slip dynamics, thus giving rise to hysteresis. Furthermore, we numerically examine the depinning behavior and find a power law for the average velocity near the depinning transition.