Energy barriers for boundary nucleation in a two-well model – Antonio Tribuzio (Institute for Applied Mathematics, Universität Bonn)
Thursday, May 22, 2025 1:30 PM — 2:30 PM Aula Riunioni (Department of Mathematics) Seminars, Analysis Seminar
Shape-memory alloys are materials that, e.g. during a cooling process, change their crystalline structure. This trasformation is often initiated by the formation of a small inclusion of deformed material (nucleation). In this talk, we study scaling laws for a double-well singularly-perturbed elastic energy in which the inclusion of deformed material is constraint in the halfspace and has prescribed volume. This problem is a variant of the isoperimetric problem with an additional (nonlocal and anisotropic) bulk term. We will see how the relation between the anisotropy of the material and the constraint affects the scaling. This is a joint work with Konstantinos Zemas.