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Circular Waves Propagation in Thermoelastic Solid-Liquid Interface


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1 H.P.U. R. C. Khaniyara, Dharamshala-176218, India
     

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The present investigation is to study the propagation of circular waves in a homogeneous isotropic, thermally conducting elastic solid half-space underlying a half-space of inviscid liquid at uniform temperature in the context of coupled theories of thermoelasticity. After developing the mathematical model, the secular equations for circular waves in compact form are derived. The results in the absence of fluid loading and uncoupled theories of thermoelasticity have been obtained as particular cases from the derived secular equations. Finally, in order to illustrate the analytical results, the numerical calculations have been carried out for aluminum-epoxy composite material solid (half-space) underlying an inviscid liquid half-space and presented graphically. The MATLAB software tools have been employed for numerical computations. The theory and numerical computations are found to be in close agreement.
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  • Circular Waves Propagation in Thermoelastic Solid-Liquid Interface

Abstract Views: 204  |  PDF Views: 3

Authors

Vijayata Pathania
H.P.U. R. C. Khaniyara, Dharamshala-176218, India

Abstract


The present investigation is to study the propagation of circular waves in a homogeneous isotropic, thermally conducting elastic solid half-space underlying a half-space of inviscid liquid at uniform temperature in the context of coupled theories of thermoelasticity. After developing the mathematical model, the secular equations for circular waves in compact form are derived. The results in the absence of fluid loading and uncoupled theories of thermoelasticity have been obtained as particular cases from the derived secular equations. Finally, in order to illustrate the analytical results, the numerical calculations have been carried out for aluminum-epoxy composite material solid (half-space) underlying an inviscid liquid half-space and presented graphically. The MATLAB software tools have been employed for numerical computations. The theory and numerical computations are found to be in close agreement.