Special Session 124: Mathematical methods for heterogeneous media

Homogenization in magnetoelasticity under small elastic response
Lorenza D`Elia
TU Wien
Austria
Co-Author(s):    
Abstract:
In this talk, we perform a simultaneous homogenization and linearization analysis for a magnetoelastic energy functional featuring a mixed Eulerian-Lagrangian structure. Neglecting Zeeman and anisotropic contributions, we characterize the asymptotic behaviour in the sense of $\Gamma$-convergence for the sum of a nonlinear magnetoelastic energy, a symmetric exchange term defined on the actual configuration, and for the associated magnetostatic self-energy. This is a joint work with M. Cherdantsec (Cardiff University), E. Davoli (TU Wien) and S. Ricc\`{o} (TU Wien).