The magnetoelastic problem of a crack in a soft ferromagnetic solid

The induced magnetoelastic stresses and Maxwell stresses generated by a uniform magnetic field in an infinite soft ferromagnetic medium containing a finite plane crack are analyzed in this paper. The soft ferromagnetic elastic solids with a finite crack are considered to be high magnetic susceptibility materials. By the use of complex variable theory, the exact solutions for magnetic field quantities and both magnetoelastic stresses and Maxwell stresses can be obtained in a closed form. The singularity of stress intensity in the vicinity of crack tip and crack opening condition can also be determined. (C) 2001 Published by Elsevier Science Ltd.