A disc inclusion at a nonhomogeneous elastic interface (Q1373217)

We examine the axisymmetric problem involving a rigid circular disc inclusion which is embedded at the interface of identical nonhomogeneous elastic halfspace regions. The nonhomogeneity pertains to the axial variations in the elastic shear modulus in an exponential fashion. The particular form of the exponential nonhomogeneity gives rise to finite values of the shear modulus in dependence on the axial coordinate \(z\in(-\infty, \infty)\). The problem is of interest in the study of anchoring devices which are embedded between bonded elastic regions where diffusion of the adherent into the pore structure of the jointed regions can result in an alteration of the elastic properties.