Scattering of antiplane impact waves by cracks in a layered elastic solid Original Research Article

The scattering of antiplane impact waves by cracks in a layered elastic solid is investigated by using a hybrid method which combines the finite element discretization of the near field with the boundary integral representation of the far field outside a contour completely enclosing the crack. This combined method leads to a set of linear unsymmetric complex equations which are stored in a compacted data structure and solved to obtain response spectrum by biconjugate gradient methods. The transient response is then obtained by FFT. Numerical results are presented for the surface displacements, crack opening displacements, and stress intensity factors to show the effects of the crack and the interface. Moreover, the propagation of reflected, diffracted, and direct impact waves can be clearly observed.