Mathematical Modeling for Thermoelastic Double Porous Micro-Beam Resonators

Journal of Solid Mechanics

مقاله 4، دوره 10، شماره 2، شهریور 2018، صفحه 271-284   

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

In the present work, the mathematical model of a homogeneous, isotropic thermoelastic double porous micro-beam, based on the Euler-Bernoulli theory is developed in the context of Lord-Shulman [1] theory of thermoelasticity. Laplace transform technique has been used to obtain the expressions for lateral deflection, axial stress, axial displacement, volume fraction field and temperature distribution. A numerical inversion technique has been applied to recover the resulting quantities in the physical domain. Variations of axial displacement, axial stress, lateral deflection, volume fraction field and temperature distribution with axial distance are depicted graphically to show the effects of porosity and thermal relaxation time. Some particular cases are also deduced.                         

کلیدواژه‌ها

Double porosity؛ Thermoelasticity؛ Lord-shulman theory؛ Micro-beam

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