Abstract
The present research deals with the propagation of Rayleigh wave in transversely isotropic magneto-thermoelastic homogeneous medium in the presence of mass diffusion and three-phase-lag heat transfer. The wave characteristics such as phase velocity, attenuation coefficients, specific loss, and penetration depths are computed numerically and depicted graphically. The normal stress, tangential stress components, temperature change, and mass concentration are computed and drawn graphically. The effects of three-phase-lag heat transfer, GN type-III, and LS theory of heat transfer are depicted on the various quantities. Some particular cases are also deduced from the present investigation.
Highlights
There are two types of surface waves namely Rayleigh wave and Love wave
The effects of heat conduction upon the propagation of Rayleigh surface waves in a semi-infinite elastic solid is studied for transversely isotropic thermoelastic (TIT) materials by Sharma, Pal, and Chand (2005) and Sharma and Singh (1985)
We conclude that there is a significant influence of three-phase-lag GN-III and LS on the deformation wave parameter attenuation coefficients, specific loss, wave velocity, penetration depth, temperature, concentration, tangential stress, normal stress components, and of the transversely isotropic magneto-thermoelastic medium
Summary
There are two types of surface waves namely Rayleigh wave and Love wave. These waves have primary importance in earthquake engineering. Rayleigh (1885) first investigated the waves that exist near the surface of a homogeneous elastic half-space and named it as Rayleigh waves. The effects of heat conduction upon the propagation of Rayleigh surface waves in a semi-infinite elastic solid is studied for transversely isotropic thermoelastic (TIT) materials by Sharma, Pal, and Chand (2005) and Sharma and Singh (1985). Kumar and Kansal (2008a) investigated the effect of rotation on the characteristics of Rayleigh wave propagation in a homogeneous, isotropic, thermoelastic diffusive half-space in the context of different theories of thermoelastic diffusion, including the Coriolis and Centrifugal forces. Mahmoud (2014) studied the effect of the magnetic field, gravity field, and rotation on the propagation of Rayleigh waves in an initially stressed nonhomogeneous orthotropic medium. Not much work has been carried out in the study of the Rayleigh wave propagation in a transversely isotropic magneto-thermoelastic medium with fractional order three-phase-lag heat transfer. AijT 0ёij þ aT 0C€ Ã; ð13Þ where aij 1⁄4 −aiδij; bij 1⁄4 −biδij; αÃij 1⁄4 αÃi δij; 1⁄4 K Ãi δij; K ij 1⁄4 K iδij ðC13 þ
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Mechanical and Materials Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
