Coupled Magnetomechanical Equations for Magnetically Saturated Insulators
Abstract
The differential equations and boundary conditions governing the macroscopic behavior of nonconducting magnetically saturated media undergoing large deformations, are derived by means of a systematic and consistent application of the laws of continuum physics to a model consisting of an electronic spin continuum coupled to a lattice continuum. The macroscopic effect of the quantum mechanical exchange interaction is included as are dissipation and the associated thermodynamics. The resulting nonlinear equations are specialized to the important case of a small dynamic field superposed on a large static biasing field. Only the linear approximation in the smallfield variables is obtained. This final system of linear equations permits the solution of a variety of magnetomechanical boundaryvalue problems.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 September 1964
 DOI:
 10.1063/1.1704239
 Bibcode:
 1964JMP.....5.1298T