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Research Journal of Engineering and Technology
Year : 2018, Volume : 9, Issue : 2
First page : ( 179) Last page : ( 188)
Print ISSN : 0976-2973. Online ISSN : 2321-581X.
Article DOI : 10.5958/2321-581X.2018.00025.9

On Rayleigh wave in a generalized porothermoelastic solid half-space

Singh Baljeet*

Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh-160 011, India

*Corresponding Author Email: bsinghgc11@gmail.com

Online published on 20 December, 2018.

Abstract

The governing equations of generalized porothermoelasticity are formulated in context of Green and Naghdi theory of thermoelasticity without energy dissipation. A problem on Rayleigh type surface in a generalized porothermoelastic solid half-space is considered. The governing equations are solved for particular surface wave solutions satisfying required radiation conditions in the half-space. A secular equation for Rayleigh wave speed is derived after applying these solutions to relevant boundary conditions at stress free thermally insulated surface of half-space. The Rayleigh wave speed is computed for relevant physical constants of material and plotted against various material parameters to observe the effects of porosity, coefficients of thermal expansion, coefficients of thermoelastic coupling and characteristics of solid and fluid phases.

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Keywords

Green and Naghdi theory, Porothermoelasticity, Porosity, Rayleigh wave, Secular equation, Wave speed.

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