Dynamic responses of a layered medium subjected to anti-plane loadings
Journal
International Journal of Solids and Structures
Journal Volume
38
Journal Issue
50-51
Pages
9295-9312
Date Issued
2001
Author(s)
Abstract
The dynamic response of a layered medium subjected to anti-plane loadings is investigated in this study. An effective analytical method is used to present transient full field solutions in the layered medium. The boundary value problem is solved using Laplace transform with respect to time and Fourier transform with respect to space. The transient response is then implemented analytically by Cagniard's method that obviates the contour integration difficulties and whose terms represent successively reflected and transmitted waves. The static solution is obtained by the extreme case of transient response while the time is sufficiently long. The objective in this study is to investigate the transition phenomena from transient response to static value. The numerical examples of a layered half-space are illustrated and discussed in detail. It is found that the characteristic time of the transition not only depends on the distance between source and receiver but also is strongly related to the wave velocities of layer and half-space. Furthermore, very interesting transition behavior is observed when the layer has faster wave velocity than the half-space. © 2001 Elsevier Science Ltd. All rights reserved.
Type
journal article