A generalized finite element model of magnetostriction phenomena

We present a generalized finite element model of magnetostriction phenomena where the direct and inverse effects are taken into account. The variational formulation in terms of magnetic vector potential and displacement is used to solve this coupled problem. Different computing steps in 3D and 2D cases are reported.

I. Introduction

Magnetostrictive materials present magnetic and mechanical properties which are strongly coupled. The presence of a magnetic field produces an important deformation (direct effect) and the application of a stress induces a magnetization of the material (inverse effect). These properties can be used for sensor and motor applications. In this study, we generalize a finite element model of magnetostriction phenomena, as presented in [1]. After having given the governing equations of magneto-elastic phenomena associated with their boundary conditions and constitutive laws, we present the different forms of energy in magnetostrictive material. A finite element model of the problem in terms of magnetic vector potential and displacement will be derived by minimizing the total energy functional.