The behavior of two parallel interface cracks in magneto–electro–elastic materials under an anti-plane shear stress loading

In this paper, the behavior of two parallel symmetry interface cracks in magneto–electro–elastic materials under an anti-plane shear stress loading is studied by Schmidt method. By using the Fourier transform, the problem can be solved with a pair of dual integral equations in which the unknown variables are the jumps of the displacements across the crack surfaces. To solve the dual integral equations, the jumps of the displacements across the crack surfaces are expanded in a series of Jacobi polynomials. The relations among the electric filed, the magnetic flux and the stress field are obtained. The shielding effect of two parallel interface cracks has been discussed.