Three-dimensional interfacial Green's functions in anisotropic bimaterials (Q1433682)

The authors obtain complete three-dimensional interfacial Green functions for anisotropic elastic bimaterials, i.e. the displacements, stresses, and their derivatives with respect to source coordinates. They are expressed in terms of one-dimensional finite-part integrals. The authors show that the interfacial displacements, stresses and derivatives of displacements and stresses, are inversely proportional to \(r\), \(r^2\) and \(r^3\), where \(r\) is the distance between the field and the source point. To evaluate the involved one-dimensional finite-part integrals, a numerical scheme is proposed. Some numerical examples show the discontinuity properties of Green functions across the interface.