Explicit secular equations of Rayleigh waves in a non-homogeneous orthotropic elastic medium under the influence of gravity

The problem of the Rayleigh waves in a non-homogeneous orthotropic elastic medium under the influence of gravity is investigated. Using an appropriate representation of the solution we derive the secular equation of the wave motion in the explicit form. Moreover, following the same approach, we obtain the explicit secular equations for a number of previously investigated Rayleigh wave problems whose dispersion equations were obtained only in the implicit form.

Title:

	Explicit secular equations of Rayleigh waves in a non-homogeneous orthotropic elastic medium under the influence of gravity
Authors:	Seriani, Géza Pham Chi, Vinh Christopher J., Skousen
Keywords:	Rayleigh waves; Rayleigh wave velocity; Orthotropic; Secular equation; Non-homogeneous; Gravity
Issue Date:	2009
Publisher:	ScienceDirect
Abstract:	The problem of the Rayleigh waves in a non-homogeneous orthotropic elastic medium under the influence of gravity is investigated. Using an appropriate representation of the solution we derive the secular equation of the wave motion in the explicit form. Moreover, following the same approach, we obtain the explicit secular equations for a number of previously investigated Rayleigh wave problems whose dispersion equations were obtained only in the implicit form.
Description:	Wave Motion Volume 46, Issue 7, November 2009, Pages 427–434
URI:	http://www.sciencedirect.com/science/article/pii/S0165212509000365 http://repository.vnu.edu.vn/handle/VNU_123/32174
ISSN:	01652125
Appears in Collections:	Bài báo của ĐHQGHN trong Scopus