The dynamic behavior of two parallel interface cracks in magneto-electro-elastic materials under the harmonic anti-plane shear stress waves

摘要

In this paper, the dynamic coupling behavior of two parallel symmetry interface cracks in magneto-electro-elastic material plane under the harmonic anti-plane shear stress waves 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 defined as the jumps of displacements across the crack surfaces. To solve the dual integral equations, the jumps of displacements across the crack surface 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.