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Generalized Thermoelastic Waves in a Plate Sandwiched with Layers of Viscid Liquid


Affiliations
1 Department of Mathematics, H.P.U.R.C. Dharamshala-176215, India
     

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Analysis for the propagation of thermoelastic waves in a homogeneous, transversely isotropic, thermally conducting plate bordered with layers of viscous liquid on both sides is investigated in the context of generalized theories of thermoelasticity. Secular equations for homogeneous transversely isotropic plate in closed form and isolated mathematical conditions for symmetric and anti-symmetric wave modes in completely separate terms are derived. The amplitudes of displacement components and temperature change have been computed and studied. Finally, the numerical solution is carried out for transversely isotropic plate of zinc material bordered with water. The amplitudes of displacement and temperature change in case of fundamental symmetric and skew symmetric modes are presented in order to illustrate and compare the theoretical results. The theory and numerical computations are found to be in close agreement.


Keywords

Transversely Isotropic, Viscous, Biot’s Constant, Displacement, Amplitude.
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  • Generalized Thermoelastic Waves in a Plate Sandwiched with Layers of Viscid Liquid

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Authors

Vijayata Pathania
Department of Mathematics, H.P.U.R.C. Dharamshala-176215, India

Abstract


Analysis for the propagation of thermoelastic waves in a homogeneous, transversely isotropic, thermally conducting plate bordered with layers of viscous liquid on both sides is investigated in the context of generalized theories of thermoelasticity. Secular equations for homogeneous transversely isotropic plate in closed form and isolated mathematical conditions for symmetric and anti-symmetric wave modes in completely separate terms are derived. The amplitudes of displacement components and temperature change have been computed and studied. Finally, the numerical solution is carried out for transversely isotropic plate of zinc material bordered with water. The amplitudes of displacement and temperature change in case of fundamental symmetric and skew symmetric modes are presented in order to illustrate and compare the theoretical results. The theory and numerical computations are found to be in close agreement.


Keywords


Transversely Isotropic, Viscous, Biot’s Constant, Displacement, Amplitude.