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Thermoelastic Waves Propagation in Layered Plates in Anisotropic Media


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

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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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  • Thermoelastic Waves Propagation in Layered Plates in Anisotropic Media

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Authors

Vijayata Pathania
Department of Mathematics, H.P.U.R.C.Dharamshala-176215 India, India
S. Pathania
Department of Mathematics, National Institute of Technology, Hamirpur-177005, India

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.

References