Research Journal of Science and Technology

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

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
     

   Subscribe/Renew Journal


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.
Subscription Login to verify subscription
User
Notifications
Font Size


  • H. W. Lord and Y. Shulman (1967). The generalized dynamical theory of Thermoelasticity. Journal of the Mechanics and Physics of Solids 15, pp. 299-309.

  • J. Wu and Z. Zhu (1991). The propagation of Lamb waves in a plate bordered with layers of a liquid. Journal of Acousical Society of America 91, pp 861 –867.

  • J. N. Sharma and V. Pathania (2004). Generalized thermoelastic waves in anisotropic plates sandwiched between liquid layers. Journal of Sound and Vibration 278, pp. 383-411.

  • J. N. Sharma and R. Sharma (2010). Propagation characteristics of Lamb waves in a thermo-viscoelastic plate loaded with viscous fluid layers. International Journal of Applied Mathematics and Mechanics 6(3), pp. 1-20.

  • K. F. Graff (1991). Wave Motion in Elastic Solids. Dover, New York.

  • K. C. Deshmukh , M. V. Khandait , S. D. Warbhe , and V. S. Kulkarni (2010). Thermal stresses in a simply supported plate with thermal bending moments. International Journal of Applied Mathematics and Mechanics 6(18), pp. 1 – 12.

  • R. Lal , Y Kumar, and U S Gupta (2010). Transverse vibrations of nonhomogeneous rectangular plates of uniform thickness using boundary characteristic orthogonal polynomials. International Journal of Applied Mathematics and Mechanics 6, pp. 93 – 109.

  • S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Dover , New York, 1961.

  • S. Kaliski (1963). Absorption of magneto viscoelastic surface waves in a real conductor in magnetic field. Proceedings of Vibration Problems 4, pp. 319–329.

  • Z. Zhu and J. Wu (1995). The propagation of Lamb waves in a plate bordered with a viscous liquid. Journal of Acoustical Society of America 98, pp. 1057-1067.


Abstract Views: 622

PDF Views: 0




  • Thermoelastic Waves Propagation in Layered Plates in Anisotropic Media

Abstract Views: 622  |  PDF Views: 0

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