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1 International Journal of Applied Mechanics and Engineering

1 2012

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Wave propagation in couple stress thermoelastic half space underlying an inviscid liquid layer

Kumar R., Kumar K., Nautiyal R. C.

International Journal of Applied Mechanics and Engineering

2012

Vol. 17, no. 1

161-177

The present paper is concerned with the propagation of waves in a couple stress elastic half space lying under an inviscid liquid layer in the context of Lord and Shulman (L-S) and Green and Lindsay (G-L) theories of thermoelasticity. It is observed that shear waves get decoupled from the rest of the motion. After developing the formal solution, the secular equations for surface wave propagation are derived. The dispersion curve giving the phase velocity and attenuation coefficient related to wave number are plotted graphically to depict the effect of thermal relaxation times. The amplitude ratios of displacement components and temperature distribution are also computed numerically and shown graphically to depict the effect of thermal relaxation times. Some special cases are also deduced from the present investigation.