Green's functions for torsional body force problems of a dissimilar elastic thick plate.

Abstract

Green's functions are shown for axisymmetric torsional body force problems of a dissimilar elastic thick plate. Green's functions are defined as solutions to the problem of a dissimilar elastic thick plate subjected to a torsional body force acting on a circle in the interior of the thick plate. As a special case for the Green's functions shown, we can obtain Green's functions for torsional body force problems of an elastic half-space, an elastic thick plate, a dissimilar elastic solid, an elastic layer on an elastic half-space, among others. A general method of solution is presented for torsional body force problems of a dissimilar elastic thick plate. The Green's functions shown here are obtained by applying the general method of solution. As an example of the application of Green's functions, we consider the torsion of a hemispherical rigid body embedded in the dissimilar thick plate. Numerical results for the problem are shown.