| Abstract: | Consider the elastostatic problem of a transversely isotropic space embedded with an inclusion in the form of a thin rigid sheet with an elliptical opening. The sheet is given an infinitesimal tangential shift along an arbitrary direction in the plane. By means of Fourier transforms, the problem is reduced to a system of coupled two-dimensional integro-differential equations. Closed-form solutions are derived by using the Ferrers–Dyson and Galin theorems. Explicit expressions for the displacements and stresses are obtained. |
