Free-space green's function of a transversely isotropic elastic medium subjected to a ringlike load. 1st report. Displacement solution.

Abstract

In this paper, we deal with one of the methods to obtain a set of the free-space Green's function (fundamental solution) with respect to displacement components of a transversely isotropic infinite elastic medium which is subjected to a ringlike axisymmetric load. We assume that the load is tortionless. The solutions consist of the displacement components of the infinite elastic medium subjected to the load of radial and axial directtions. To solve the problem, we introduce two potential functions and apply the Hankel and the complex Fourier transforms.