Finite element scheme based on magnetic vector potential and mechanical displacement for modeling magnetostriction

In this work we present a thermodynamically consistent physical model and its finite element formulation for the computation of magnetostrictive materials. Therewith, we decompose the mechanical strain and the magnetic induction into a reversible and an irreversible part. The reversible part is described by the linear magnetostrictive constitutive equations, whereas the irreversible parts are modeled by Preisach hysteresis operators. Since we focus on the magneto-dynamic case, the finite element formulation is done using the magnetic vector potential as well as the mechanical displacement.