An Arbitrary Concentrated Force in a Transversely Isotropic Elastic Cylinder: an Exact Solution

Abstract

An infinite transversely isotropic elastic cylinder under the action of an arbitrary concentrated force located at an arbitrary point inside the cylinder is considered. An exact solution, defining the complete field of displacements and stresses inside the cylinder, is obtained by using the results previously obtained by the author. The solution is presented as a sum of the solution for the case of an infinite space and an additional term which provides the free-boundary conditions on the surface of the cylinder. The parameters of the additional term are defined from a set of 3 linear algebraic equations for each harmonic.