Singular stresses in a soft ferromagnetic elastic solid with two coplanar griffith cracks

Following a linear theory for the soft ferromagnetic elastic materials, we consider the linear magnetoelastic problem for an infinite body with two coplanar Griffith cracks under the condition of plane strain. It is assumed that the soft ferromagnetic elastic solid is a homogeneous and isotropic one and is permeated by a uniform magnetostatic field normal to the cracks surfaces. By the use of Fourier transforms we reduce the problem to solving two simultaneous triple integral equations. These equations are exactly solved by using finite Hilbert transform techniques. The singular stresses near the crack tip are expressed in closed elementary forms and the influence of the magnetic fields upon the stress-intensity factors is shown graphically.