The Linear Magnetoelastic Problem for a Soft Ferromagnetic Elastic Solid With a Finite Crack

Abstract

Following a linear theory for the soft ferromagnetic elastic materials of multidomain structure, the distribution of magnetoelastic stresses and Maxwell stresses in an infinite body with a finite crack permeated by an uniform magnetostatic field normal to the crack surfaces is investigated. The soft ferromagnetic elastic solids with a finite crack are considered to be composed of materials with isotropic, cubic, or uniaxial symmetry. A solution for the infinite solid is obtained by the use of integral transform technique. The magnetoelastic stresses and the Maxwell stresses are expressed in closed forms.