3D FEM of magnetostriction phenomena using coupled constitutive laws

Abstract

The aim of this work is to present a three-dimensional generalized finite element modelling of magnetostrictive materials including direct and inverse effects through strongly coupled magnetic and elastic behaviours. Emphasis is put on adapted constitutive laws that incorporate explicitly the physical coupling between magnetic and mechanical magnitudes. We used a variational formulation in terms of magnetic vector potential circulation and displacement. The studied example is composed of a solenoid with a magnetostrictive core where a three dimensional analysis is performed.