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