2-DIMENSIONAL TRANSIENT FUNDAMENTAL SOLUTION DUE TO SUDDENLY APPLIED LOAD IN A HALF-SPACE

A transient Green function due to suddenly applied line loads in an is otropic and homogeneous half-space is reported in this paper. The deri vation of the half-space Green function in the Laplace and the Fourier transform spaces is first reviewed. Following an explicit inversion o f the Fourier transform, the inverse Laplace transform is implemented along the contour integral on the p-complex plane in an integral form. The half-space Green function consists of full-space Green functions and a singularity-free complementary term. It can be easily incorporat ed into current transient boundary elements using the transient full-s pace Green function. Combined with finite elements, the half-space Gre en function can be used in a hybrid procedure to solve transient half- space problems without discretization of the free surface. Numerical r esults are presented to illustrate transient wave propagation in a hal fspace. (C) 1998 Published by Elsevier Science Ltd. All rights reserve d.