Exact secular equations of Rayleigh waves in an orthotropic elastic half-space overlaid by an orthotropic elastic layer

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:83

Article

Pham Chi Vinh¹  Vu Thi Ngoc Anh¹  Nguyen Thi Khanh Linh² 

[1] Hanoi Univ Sci, Fac Math Mech & Informat, 334 Nguyen Trai St, Hanoi, Vietnam

[2] Water Resources Univ Vietnam, Dept Engn Mech, 175 Tay Son St, Hanoi, Vietnam

关键词: Rayleigh waves;    A half-space coated by a layer;    Exact secular equations;    The effective boundary condition method;    The incompressible limit technique;   

DOI  :  10.1016/j.ijsolstr.2015.12.032

来源: Elsevier

【 摘 要 】

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 may be compressible or incompressible and they are in welded contact with each other. The main aim of the paper is to derive explicit exact secular equations of the wave for four possible combinations of a (compressible/incompressible) half-space coated by a (compressible/incompressible) layer. For the compressible/compressible case, the explicit secular equation is derived by using the effective boundary condition method. For three remaining cases, the explicit secular equations are derived from the secular equation for the compressible/compressible case by using the incompressible limit technique along with the expressions of the reduced elastic compliances in terms of the elastic stiffnesses. Based on the obtained secular equations, the effect of incompressibility on the Raleigh wave propagation is considered numerically. It is shown that the incompressibility strongly affects the Raleigh wave velocity and it makes the Raleigh wave velocity increasing. (C) 2016 Elsevier Ltd. All rights reserved.

【 授权许可】

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