Dynamic response of an elastic medium containing crack

A fundamental solution for an infinite elastic medium containing a penny-shaped crack subjected to dynamic torsional surface tractions is attempted. A double Laplace-Hankel integral transform with respect to time and space is applied both to motion equation and boundary conditions yielding dual integral equations. The solution of the derived dual integral equations is based on an analytic procedure using theorems of Bessel functions and ordinary differential equations. The dynamic displacements' field is obtained by inversion of the corresponding Laplace-Hankel transformed variable. Results of a representative example for a crack subjected to pulse surface tractions are obtained and discussed. (C) 2015 Elsevier Ltd. All rights reserved.