Rayleigh waves in an orthotropic elastic half-space overlaid by an elastic layer with spring contact

In this paper, the propagation of Rayleigh waves in an orthotropic elastic half-space overlaid by an orthotropic elastic layer of arbitrary uniform thickness is investigated. The layer and the half-space are both compressible and they are in spring contact with each other. The main aimof the paper is to derive explicit exact secular equation of the wave. This equation has been derived by using the effective boundary condition method. From the obtained secu-lar equation, the secular equations for the welded and sliding contacts can be derived immediately as special cases. For the welded contact, the obtained secular equation recovers the secular equations previously obtained for the isotropic and orthotropic materials. Since the obtained secular equation is totally explicit it is a good tool for nondestructively evaluating the adhesive bond between the layer and half-space as well as their mechanical properties.

Title:	Rayleigh waves in an orthotropic elastic half-space overlaid by an elastic layer with spring contact
Authors:	Pham Chi Vinh Vu Thi Ngoc Anh
Keywords:	Rayleigh wavesr;A half-space coated by a laye;Spring contact;Exact explicit secular equation;The effective boundary condition method
Issue Date:	2017
Publisher:	SPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS
Citation:	ISIKNOWLEDGE
Abstract:	In this paper, the propagation of Rayleigh waves in an orthotropic elastic half-space overlaid by an orthotropic elastic layer of arbitrary uniform thickness is investigated. The layer and the half-space are both compressible and they are in spring contact with each other. The main aimof the paper is to derive explicit exact secular equation of the wave. This equation has been derived by using the effective boundary condition method. From the obtained secu-lar equation, the secular equations for the welded and sliding contacts can be derived immediately as special cases. For the welded contact, the obtained secular equation recovers the secular equations previously obtained for the isotropic and orthotropic materials. Since the obtained secular equation is totally explicit it is a good tool for nondestructively evaluating the adhesive bond between the layer and half-space as well as their mechanical properties.
Description:	TNS06978 ; MECCANICA Volume: 52 Issue: 4-5 Pages: 1189-1199 Published: MAR 2017
URI:	http://repository.vnu.edu.vn/handle/VNU_123/28369 http://link.springer.com/article/10.1007/s11012-016-0464-5
ISSN:	0025-6455 1572-9648
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