Three-dimensional Green’s functions for a transversely isotropic elastic bimaterial with viscous interface

Abstract

We derive three-dimensional Green’s function solutions corresponding to the problem of a point force in a bimaterial consisting of two transversely isotropic elastic half-spaces bonded along a planar viscous interface. The interface is parallel to the isotropic plane of each medium. Exact closed-form solutions are derived when the point force is normal or parallel to the isotropic plane. We obtain explicit expressions for the time-dependent displacements and stresses in each half-space. The elastic fields evolve with a single intrinsic velocity when the point force is normal to the interface and evolve with two intrinsic velocities when the point force is parallel to the interface.