The behavior of two parallel symmetry permeable cracks in magneto-electro-elastic composites under anti-plane shear stress loading

In this paper. the behavior of two parallel symmetry permeable cracks in magneto-electro-elastic composites under 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 variable is the jumps of the displacements across the crack surfaces. In solving the dual integral equations, the jumps of the displacements across the crack surface are expanded in a series of Jacobi polynomials. Numerical examples are provided to show the effect of the length of the crack and the distance between two parallel cracks upon the stress, the electric displacement and the magnetic flux intensity factors of the cracks. The shielding effect of two parallel cracks is also obtained. From the results, it can be also obtained that the singular stress in piezoelectric/piezomagnetic materials carry the same forms as those in a general elastic material for anti-plane shear problem.