Green's functions and boundary element analysis for bimaterials with soft and stiff planar interfaces under plane elastostatic deformations

Abstract

Abstract Plane elastostatic Green's functions satisfying relevant conditions on soft and stiff planar interfaces between two dissimilar anisotropic half spaces under elastostatic deformations are explicitly derived with the aid of the Fourier integral transformation technique. Green's functions are applied to obtain special boundary integral equations for the deformation of a bimaterial with an imperfect planar interface that is either soft or stiff. The boundary integral equations do not contain any integral over the imperfect interface. They are used to obtain a boundary element procedure for determining the displacements and stresses in the bimaterial. The numerical procedure does not require the interface to be discretized into elements.