Impact of Initial Stress on Reflection and Transmission of SV-Wave between Two Orthotropic Thermoelastic Half-Spaces

Authors

  • B Prasad Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India
  • P Chandra Pal Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India
  • S Kundu Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India
Abstract:

Reflection and transmission of plane waves between two initially stressed thermoelastic half-spaces with orthotropic type of anisotropy is studied. Incidence of a SV-type wave from the lower half-space is considered and the amplitude ratios of the reflected and transmitted SV-wave, P-wave and thermal wave are obtained by using appropriate boundary conditions. Numerical computation for a particular model is performed and graphs are plotted to study the effect of angle of incidence of the wave and the initial stress parameters of the half-spaces. From the graphical results, it is found that the modulus of reflection and transmission coefficients of the thermal wave is very less in comparison to reflection and transmission coefficients of P- and SV-waves. It is also observed that for vertical incidence of SV-wave we have only reflected and refracted SV-waves and there is no reflected or refracted P and thermal waves, whereas for horizontal incidence of SV-wave there exists only reflected SV-wave and no other reflected or transmitted wave exists. Moreover, it is found that all the reflection and transmission coefficients are strongly affected by the initial stress parameters of the both half-spaces.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Wave Propagation in Orthotropic Generalized Thermoelastic Half-spacewith Voids under Initial Stress

The purpose of this research is to study the wave propagation in orthotropic generalized thermoelastic half-space with voids under initial stress. It is found that, for two dimensional model of orthotropic generalized thermoelastic material with voids under initial stress, there exists three quasi-longitudinal waves namely, quasi-longitudinal wave (QP-mode), quasi-longitudinal thermal wave (QPT...

full text

Reflection of Waves in a Rotating Transversely Isotropic Thermoelastic Half-space Under Initial Stress

The present paper concerns with the effect of initial stress on the propagation of plane waves in a rotating transversely isotropic medium in the context of thermoelasticity theory of GN theory of type-II and III. After solving the governing equations, three waves propagating in the medium are obtained. The fastest among them is a quasi-longitudinal wave. The slowest of them is a thermal wave. ...

full text

Reflection and Transmission at the Boundary of Two Couple Stress Generalized Thermoelastic Solids

In this paper the reflection and transmission at a plane interface between two different couple stress generalized thermoelastic solid half spaces in context of Loard-Shulman(LS)[1967] and Green-Lindsay(GL)[1972] theories in welded contact has been investigated. Amplitude ratios of various reflected and transmitted waves are obtained due to incidence of a set of coupled longitudinal waves and c...

full text

Reflection and Refraction of Generalized Visco-Thermoelastic Waves at an Interface Between Two Half Spaces

Abstract The reflection and refraction due to generalized thermoelastic incident Pand SVwaves at a plane interface between two dissimilar half spaces of visco-thermoelasitic materials have been investigated. Magnitude of coefficient ratios for both the cases of Pand SVwaves have been found out. Several graphs have been drawn to study the nature of variation of the amplitude ratios when the angl...

full text

Influence of Heterogeneity on Rayleigh Wave Propagation in an Incompressible Medium Bonded Between Two Half-Spaces

The present investigation deals with the propagation of Rayleigh wave in an incompressible medium bonded between two half-spaces. Variation in elastic parameters of the layer is taken linear form. The solution for layer and half-space are obtained analytically. Frequency equation for Rayleigh waves has been obtained. It is observed that the heterogeneity and width of the incompressible medium h...

full text

Reflection of Waves in a Rotating Transversely Isotropic Thermoelastic Half-space Under Initial Stress

The present paper concerns with the effect of initial stress on the propagation of plane waves in a rotating transversely isotropic medium in the context of thermoelasticity theory of GN theory of type-II and III. After solving the governing equations, three waves propagating in the medium are obtained. The fastest among them is a quasi-longitudinal wave. The slowest of them is a thermal wave. ...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 11  issue 4

pages  778- 789

publication date 2019-12-30

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023