Boundary integral equations method in two- and three-dimensional problems of elastodynamics (Q671223)

This paper discusses BIEM for two-dimensional and three-dimensional elastodynamics on the base of the retarding potentials. The fundamental solutions, integral representations and boundary integral equations are constructed by means distribution theory for the general case of anisotropic elastic media. Some new results are suggested concerning special regularization of singularities on the wave fronts of the integral equation kernels. The illustrative numerical examples concern the scattering of elastic waves on cavities embedded in an infinite isotropic medium.