Research Journal of Science and Technology

Vijayata Pathania ¹, S. Pathania ²

Affiliations
1 Department of Mathematics, H.P.U.R.C.Dharamshala-176215 India, IN
2 Department of Mathematics, National Institute of Technology, Hamirpur-177005, IN

Abstract

Analysis for the propagation of thermoelastic waves in transversely isotropic plates is investigated, commencing with a formal analysis of waves in a layered plate of transversely isotropic media with viscous fluid on both sides, the dispersion relations of thermoelastic waves are obtained by invoking continuity at the interface and boundary of conditions on the surfaces of layered plate. The secular equations for governing the symmetric and antisymmetric wave motion of the plate, in completely separate terms, are derived. Finally, in order to illustrate the analytical results, the numerical solution is carried out for transversely isotropic plate of zinc material bordered with water. The results have been deduced and compared with the existing one in relevant publications available in the literature at various stages of this work.

Keywords

Lamb Waves, Viscous, Relaxation Time, Biot’s Constant, Anisotropic.

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Vijayata Pathania ¹

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

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.

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