Propagation of Rayleigh waves

In this paper, the nonlocal elasticity theory is applied to study the propagation of plane wave and Rayleigh-type surface wave in an incompressible, rotating and transversely isotropic material. The governing equations of motion for an incompressible, rotating, transversely isotropic and nonlocal elastic medium are specialized for a plane. The medium is assumed rotating about an axis perpendicular to the plane. The transverse isotropy axis is taken perpendicular to the surface.

16p inception36 30-11-2021 8 1   Download

This paper presents a traditional approach to obtain an approximate secular equation by approximately replacing the thin layer by effective boundary conditions of third-order. The wave then is considered as a Rayleigh wave propagating in an orthotropic half-space, without coating, subjected to the effective boundary conditions.

11p inception36 30-11-2021 20 1   Download

In this paper, the problem of surface wave propagating in an elastic half-space media is investigated by boundary element method. The boundary element method is studied to obtain the far-field displacements generated by time-harmonic loads. An elegant treatment for the truncated point on the boundary is provided in which omitted parts of the boundary are substituted by two fictitious boundaries in the end of two sides of boundary by using reciprocity theorems.

4p viwendy2711 05-10-2021 14 1   Download

This study is devoted to investigate the propagation of Rayleigh-type waves in transversely isotropic nonlocal piezoelastic half-space. When the stress-free boundary is maintained at charge-free condition, the dispersion equation for the propagation of Rayleigh waves at the free surface of transversely isotropic piezoelastic solids has been obtained. Based on the obtained dispersion equation, the effect of the nonlocality on the speed of Rayleigh wave is numerically considered.

9p nguaconbaynhay11 07-04-2021 9 2   Download

The linear governing equations of a micropolar thermoelastic medium without energy dissipation are solved for surface wave solutions. The appropriate solutions satisfying the radiation conditions are applied to the required boundary conditions at the free surface of the half-space of the medium.

6p tohitohi 19-05-2020 10 0   Download

. 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.

11p thienthanquydu 23-10-2018 26 0   Download

In this paper, the secular equation of Rayleigh surface waves propagating in an orthotropic layered half-space is derived by the matrix method. All the layers and the halfspace are assumed to have identical principle axes. The explicit form of the matrizant for each layer is obtained by the Sylvester’s theorem. The derived secular equation takes only real values and depends only on the dimensionless variables and dimensionless material parameters. Hence, it is convenient in numerical calculation.

12p thienthanquydu 23-10-2018 29 0   Download

The explicit secular equations and the approximate formulas for the velocity derived in this paper are useful for analyzing the effect of the material properties and the orientation of the fiber direction on the Rayleigh wave velocity, especially they are powerful tools for solving the inverse problem: determining the material parameters from the measured values of the velocity.

12p thienthanquydu 17-10-2018 30 0   Download