Nonlinear finite element modelling of giant magnetostriction

A variational formulation is proposed to analyze the giant magnetostriction phenomena, particularly the Joule effect in the magnetostatic case, by using the finite element method (FEM). It is proved, using Euler's and Neumann's theorems, that the proposed model corresponds to the mathematical setting of the magnetomechanical coupled problem. The model is strongly based on static registrations of the magnetic and mechanical properties which are characteristically complex and nonlinear. A solution is then suggested to fit this type of experimental data through the thin sheets bending principle which is more efficient when used for finite element modeling.<>