Variational Principle and Plane Wave Propagation in Thermoelastic Medium with Double Porosity Under Lord-Shulman Theory

Journal of Solid Mechanics

مقاله 15، دوره 9، شماره 2، شهریور 2017، صفحه 423-433   

نوع مقاله: Research Paper

نویسندگان

R Kumar¹؛ R Vohra^{* 2}؛ M.G Gorla²

¹Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India

²Department of Mathematics& Statistics, H.P.University, Shimla, HP, India

چکیده

The present study is concerned with the variational principle and plane wave propagation in double porous thermoelastic infinite medium. Lord-Shulman theory [2] of thermoelasticity with one relaxation time has been used to investigate the problem. It is found that for two dimensional model, there exists four coupled longitudinal waves namely longitudinal wave (P), longitudinal thermal wave (T), longitudinal volume fractional wave corresponding to pores (PV1), and longitudinal volume fractional wave corresponding to fissures (PV2), in addition to, a transverse wave (S) which is not affected by the volume fraction fields and thermal properties. The different characteristics of the wave such as phase velocity and attenuation quality factor are computed numerically and depicted graphically. Some special cases are also deduced from the present investigation. 

کلیدواژه‌ها

Double porosity؛ Lord-shulman theory؛ Variational principle؛ Plane waves؛ Phase velocity؛ Attenuation quality factor

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