Variational Principle for Saturated Magnetoelastic Insulators

Abstract

In a previous paper, a system of nonlinear differential equations and boundary conditions governing the macroscopic behavior of arbitrarily anisotropic nonconducting magnetically saturated media undergoing large deformations, was derived. The derivation utilized the classical procedure of defining field vectors and determining the equations relating them by applying energy and momentum conservationtheorems. The macroscopic effect of the quantum mechanical exchange interaction was included as was dissipation and the associated thermodynamics. The magnetic field was assumed to be quasistationary. In this paper a variational principle is presented, which is shown to yield the aforementioned system of equations and boundary conditions in the absence of dissipation and heat flow.