International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 19, Pages 3145-3155
doi:10.1155/IJMMS.2005.3145

Stoneley waves in a non-homogeneous orthotropic granular medium under the influence of gravity

S. M. Ahmed

Mathematics Department, Faculty of Education, Suez Canal University, El-Arish, Egypt

Received 21 May 2005

Copyright © 2005 S. M. Ahmed. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The aim of this paper is to investigate the Stoneley waves in a non-homogeneous orthotropic granular medium under the influence of a gravity field. The frequency equation obtained, in the form of a sixth-order determinantal expression, is in agreement with the corresponding result when both media are elastic. The frequency equation when the gravity field is neglected has been deduced as a particular case.