Rayleigh waves at the boundary surface of modified couple stress generalized thermoelastic with mass diffusion

2017 ◽  
Vol 27 (3) ◽  
pp. 309-329 ◽  
Author(s):  
Rajneesh Kumar ◽  
S.M. Abo-Dahab ◽  
Shaloo Devi
Keyword(s):  
Rayleigh Waves ◽  
Couple Stress ◽  
Boundary Surface ◽  
Mass Diffusion ◽  
Modified Couple Stress ◽  
Generalized Thermoelastic

Rayleigh waves in generalized thermoelastic medium with mass diffusion

2015 ◽  
Vol 93 (10) ◽  
pp. 1039-1049 ◽  
Author(s):  
Rajneesh Kumar ◽  
Vandana Gupta
Keyword(s):  
Mathematical Model ◽  
Phase Velocity ◽  
Rayleigh Waves ◽  
Polynomial Equation ◽  
Mass Diffusion ◽  
Thermoelastic Medium ◽  
Special Cases ◽  
Generalized Thermoelastic ◽  
Thermoelastic Solid ◽  
Phase Velocity And Attenuation

This paper is concerned with the study of propagation of Rayleigh waves in a homogeneous isotropic generalized thermoelastic solid half space with mass diffusion in the context of the Lord–Shulman (Lord and Shulman. J. Mech. Phys. Solids. 15, 299 (1967)) and Green–Lindsay (Green and Lindsay. J. Elasticity. 2, 1 (1972)) theories of thermoelasticity. The medium is subjected to stress-free, isothermal, isoconcentrated boundary. After developing a mathematical model, the dispersion curve in the form of a polynomial equation is obtained. The roots of this polynomial equation are verified for not satisfying the original dispersion equation and therefore are filtered out and the remaining roots are checked with the property of decay with depth. Phase velocity and attenuation coefficient of the Rayleigh wave are computed numerically. The numerically simulated results are depicted graphically. The behavior of the particle motion is studied for the propagation of Rayleigh waves under Lord–Shulman model. Some special cases are also deduced from the present investigation.

scholarly journals Reflection and transmission at the boundary surface of modified couple stress thermoelastic media

2016 ◽  
Vol 21 (1) ◽  
pp. 61-81 ◽  
Author(s):  
R. Kumar ◽  
K. Kumar
Keyword(s):  
Couple Stress ◽  
Boundary Surface ◽  
Angle Of Incidence ◽  
Amplitude Ratios ◽  
Reflection And Transmission ◽  
Transverse Waves ◽  
Transmitted Waves ◽  
Special Cases ◽  
Modified Couple Stress ◽  
Thermoelastic Solid

Abstract In this paper the reflection and transmission at a plane interface in modified couple stress generalized thermoelastic solid half spaces in the context of Loard-Shulman (LS) and Green-Lindsay (GL) theories in welded contact are investigated. Amplitude ratios of various reflected and transmitted waves are obtained due to incidence of a set of coupled longitudinal waves and coupled transverse waves. It is found that the amplitude ratios of various reflected and transmitted waves are functions of the angle of incidence, frequency and are affected by the couple stress properties of the media. Some special cases are deduced from the present formulation.

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