A Continuum Theory of Elastic-Ferromagnetic Conductors

In this paper, a phenomenological theory of saturated ferromagnetoelastic conductors is established using a multi-continuum model and the classical laws of mechanics, thermodynamics and electromagnetics. The theory is nonlinear and is valid for large deformations and strong electromagnetic fields. The constitutive relations in the theory satisfy the saturation condition of the magnetization vector. The theory is with full electromagnetic couplings as governed by the equations of electrodynamics. It can describe the interactions of elastic, electromagnetic and spin waves. The theory can be reduced to various quasistatic theories with appropriate approximations of the electromagnetic fields. It is for anisotropic materials in general.