BIE Formulation for the Axisymmetric Problem of the Elastic Medium with Transverse Isotropy

Abstract

In this paper, we deal with the formulation of the axisymmetric boundary integral equation for the transversely isotropic elastic medium. We assume that the axis of elastic symmetry is coincident with the axis of rotation and that the elastic body is subjected to an arbitrary axisymmetric loading without torsion. The fundamental solution we adopt is the freespace Green's functions for the transversely isotropic body subjected to a torsionless ring like loading. These Green's functions were derived in our previous work. The numerical calculations are carried out, and the results are compared with the results by the finite-element method.