ASYMPTOTIC-BEHAVIOR OF THE SOLUTION OF A DYNAMICAL PROBLEM FOR AN ELASTIC HALF-SPACE - THE AXISYMMETRICAL CASE

Simple analytic expressions are derived for the stresses in an elastic half-space when the load is applied at times near the starting time. Asymptotic expansions of the stresses as t --> 0 are developed and err or bounds worked out for the principal terms of the asymptotic series, subject to certain assumptions. It is assumed, in particular, that th e Hankel transform of the radial distribution function of the load dec reases at an exponential rate.