A Continuum Theory of Elastic-Ferromagnetic Conductors

TL;DR

This paper develops a comprehensive nonlinear continuum theory for saturated ferromagnetoelastic conductors, integrating mechanics, thermodynamics, and electromagnetics to describe large deformations and strong electromagnetic interactions.

Contribution

It introduces a multi-continuum phenomenological model that captures full electromagnetic couplings and magnetization saturation in anisotropic ferromagnetic conductors.

Findings

Describes interactions of elastic, electromagnetic, and spin waves.

Valid for large deformations and strong electromagnetic fields.

Reduces to quasistatic theories under appropriate approximations.

Abstract

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.