An axisymmetric fundamental solution and the Reissner-Sagoci problem for an internally loaded non-homogeneous transversely isotropic half-space

Abstract

This paper employs the concept of a ring of sources or forces using the Hankel transform and Fourier cosine transform to derive the axisymmetric fundamental solution for transversely isotropic nonhomogeneous materials in the case of torsional loads. These fundamental solutions determine the kernel functions used in the boundary integral equation method and body force method. Making use of the axisymmetric fundamental solution we consider the classical Reissner-Sagoci problem related to an elastic nonhomogeneous transversely isotropic half-space region in which the rotation of the bonded circular disk is induced by a concentrated couple, is located along the axis of symmetry, and acts at a finite distance from surface. The rotation of bonded rigid disk due to the internally applied concentrated couple is evaluated. Special cases are examined.