Response of two layers overlaying a half-space to a suddenly applied point force

Expressions for the elastodynamic displacements, generated by a normal point force acting on the top layer of two isotropic layers overlaying an isotropic half-space, are derived. Generalized ray theory is used to develop the displacement expressions. In particular, a combinatorial technique for cou...

Full description

Saved in:
Bibliographic Details
Published in:Wave motion 2000-04, Vol.31 (3), p.255-272
Main Authors: Zhou, Chunnan, Hsu, Nelson N., Popovics, John S., Achenbach, Jan D.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Expressions for the elastodynamic displacements, generated by a normal point force acting on the top layer of two isotropic layers overlaying an isotropic half-space, are derived. Generalized ray theory is used to develop the displacement expressions. In particular, a combinatorial technique for counting the number of wave rays simultaneously arriving at a specific point on the free surface of the top layer is developed. Reflection and transmission coefficients are derived, the different travel paths are analyzed, the products of the reflection and transmission coefficients are generated, and the arrival times of signals traveling along various rays, including head waves, are obtained. A computer program has been developed for efficient numerical implementation of the formulation. Numerical results are shown.
ISSN:0165-2125
1878-433X
DOI:10.1016/S0165-2125(99)00020-7