Influence of Concentrated Forces on an Interface Inclusion under the Conditions of Smooth Contact in the Inhomogeneous Transversely Isotropic Space

We analyze the influence of concentrated forces on a disk-shaped inclusion operating the conditions of smooth contact in the plane of joint of two different transversely isotropic half spaces. The problem is reduced to the Riemann boundary-value problem with respect to a part of variables in the space of generalized functions. Its solution is constructed in the explicit form, which enables us to determine the dependence of translational and circular displacements of the inclusion and the jumps of stresses and displacements on the inclusion on concentrated forces and the relationship between the elastic constants of the half spaces. We also study the influence of presence of the concentrated forces (either in a single or in both half spaces) on the translational displacements and the jumps of normal stresses for different combinations of the materials of the half spaces and the shapes of the inclusion.