Showing papers by "Pham Chi Vinh published in 2015"
TL;DR: In this paper, the transmission and reflection of one-component elastic, acoustic, optical waves on a stack of arbitrary number of different homogeneous layers have been intensively studied in the literature.
10 citations
TL;DR: In this article, the propagation of Rayleigh waves in an orthotropic elastic half-space coated by a thin orthotropic elastic layer was studied and the authors established approximate third-order secular equations regarding the dimensionless thickness of the layer.
Abstract: This paper studies the propagation of Rayleigh waves in an orthotropic elastic half-space coated by a thin orthotropic elastic layer. The half-space and the layer are assumed to be either compressible or incompressible and they are in sliding contact with each other. The main aim of the paper is to establish approximate secular equations of the wave for all (four) possibilities of a compressible or incompressible half-space covered with a compressible or incompressible thin layer, except the case of a compressible half-space coated by a compressible layer that has been considered [19]. In order to do that, the effective boundary condition method is employed and the approximate third-order secular equations regarding the dimensionless thickness of the layer are derived. It is shown that these approximate secular equations have a high accuracy. Based on the obtained secular equations, the effect of incompressibility on the Raleigh wave propagation is considered through some numerical examples. It is shown that incompressibility strongly affects the Raleigh wave velocity and the effect becomes stronger when the coating is incompressible.
2 citations
TL;DR: In this article, the transfer matrix in explicit form of an orthotropic layer can be easily obtained for both the wave propagation problem and the reflection/transmission problem, and the obtained transfer matrix is then employed to derive the explicit secular equation of Rayleigh waves propagating in an orthogonal half-space coated by an orthometric layer of arbitrary thickness.
Abstract: This paper presents a technique by which the transfer matrix in explicit form of an orthotropic layer can be easily obtained. This transfer matrix is applicable for both the wave propagation problem and the reflection/transmission problem. The obtained transfer matrix is then employed to derive the explicit secular equation of Rayleigh waves propagating in an orthotropic half-space coated by an orthotropic layer of arbitrary thickness.
1 citations
TL;DR: In this article, the propagation of Rayleigh waves in a homogeneous isotropic elastic half-space coated with a thin weakly inhomogeneous elastic layer is investigated, where the material parameters of the layer are assumed to depend arbitrarily continuously on the thickness variable.
Abstract: In this paper, the propagation of Rayleigh waves in a homogeneous isotropic elastic half-space coated with a thin weakly inhomogeneous isotropic elastic layer is investigated. The material parameters of the layer is assumed to depend arbitrarily continuously on the thickness variable. The contact between the layer and the half space is perfectly bonded. The main purpose of the paper is to establish an approximate secular equation of the wave. By applying the effective boundary condition method an approximate secular equation of second order in terms of the dimensionless thickness of the layer is derived. It is shown that the obtained approximate secular equation has good accuracy.