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Abstract
A general theory of magnetoelasticity is developed for soft ferromagnetic materials of multidomain structure, for which the hysteretic loss and exchange effect may be neglected. The general equations are linearized by assuming infinitesimal strains, linear constitutive equations, and that all magnetic variables (magnetic intensity, induction and magnetization) in the deformed body may be divided into two parts: a rigid body state and a perturbation state. The former are the same as those in the magnetostatics for a rigid body and the latter which are the added corrections due to deformations, are coupled with strains and stresses in a set of linear differential equations and boundary conditions. Two versions of the linear theory are given for materials with isotropic, cubic or uniaxial symmetry. One of them is applied to investigate the buckling of an elastic, isotropic plate in a transversally applied uniform magnetic field. The calculated results agree with previous observations.
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