Plane strain deformation of an initially stressed orthotropic elastic medium

The eigenvalue approach, using the Laplace and Fourier transforms, has been employed to find the analytical expressions for displacements and stresses at any point, as a result of an inclined line load, of an initially stressed orthotropic elastic medium. A plain strain problem has been studied. The results in the form of displacement and stress components have been obtained and discussed graphically for a particular model. In this paper it is shown that the displacement and stress components are affected by initial stresses in the medium.