PINNING AND DEPINNING OF NEARLY FLAT MARTENSITIC INTERFACES
IN A HETEROGENEOUS ENVIRONMENT
Dr. Patrick Dondl (Hausdorff Center for Mathematics, University of
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.