Numerical approximation of unstressed or prestressed magnetostrictive materials

A ferromagnetic material located into a unidirectional exterior magnetic field vector Hext takes a new internal magnetization which induces closure domains separated by walls. When the magnetic field vector Hext varies from a saturated value Hmax vector ex to -Hmax vector ex, we can observe hysterisis phenomenon and motion of the walls. The numerical approximation of these phenomena is difficult since the associated modelization is nonlinear and the magnetization field vector m has to satisfy vector m equals constant. The associate modelization, an efficient minimization algorithm (augmented Lagrangian method) and corresponding results have been presented in the last SPIE meeting. This contribution discusses the coupling between magnetic effects and elastic effects which can be met in magnetostrictive materials.