Abstract: A closed form solution of an interface crack between two dissimilar piezoelectric/piezomagnetic material half planes under anti-plane shear stress loading is obtained for the permeable crack surface conditions.By using the Fourier transform,the problem can be solved with a pair of dual integral equations in which the unknown variable is the jump of displacements across the crack surfaces.In solving the dual integral equations,the jump of displacements across crack surface is expanded in a series of Jacobi p...