Evaluating the analytic solution to a three-dimensional boundary value problem in elasticity using Shanks’ transformation

Abstract

This paper is the second of a three-part series in which solutions are given to two-dimensional and three-dimensional boundary value problems in elasticity. Using the convergence technique developed in the first part to evaluate the stress in the near zone of a semi-infinite slab subject to static loading, this same technique is now applied in two ways to evaluate the dynamic response of a three-dimensional solid cylinder subject to time-dependent end loading.