Modelling of thermoelastic Lamb waves in a plate bordered with viscous fluid of varying temperature

• Autorzy: Sharma, J. N. , Sharma, R.
• Języki publikacji: PL

Abstrakty

EN

The propagation of thermoelastic waves in a homogeneous isotropic, thermally conducting plate bordered with layers (or half-spaces) of a viscous fluid on both sides is investigated. The problem has been modeled by employing non classical theory of thermoelasticity to carry the investigation. The secular equations for governing the symmetric and antisymmetric wave motion of the plate, in completely separate terms, are derived. The results in the context of classical conventional coupled and uncoupled theories of thermoelasticity in case of viscous and inviscid fluid loadings have been obtained as particular cases from the present analysis. The regions of the secular equation, waves of short wavelength and waves of long wavelength have also been discussed and deduced. Finally, in order to illustrate the analytical results, the numerical solution is carried out for an aluminum-epoxy composite material plate bordered with layers (or half-spaces) of light and heavy water. The results have been deduced and compared with the existing ones in relevant publications available in the literature at various stages of this work.

Słowa kluczowe

PL

płyn lepki; termiczna relaksacja; dyspersja

EN

Lamb wave; Rayleigh wave; viscous fluid; dispersion

• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2010
• Tom: Vol. 15, no 1
• Strony: 217-236
• Opis fizyczny: Bibliogr. 21 poz., tab., wykr.

Twórcy

autor

Sharma, J. N.

autor

Sharma, R.

• Department of Mathematics National Institute of Technology Hamirpur-177005, INDIA,

Bibliografia

• Graff K.F. (1991): Wave Motion in Elastic Solids. - New York: Dover.
• Kurtze G. and Bolt R.H. (1959): On the interaction between plate bending wave and radiation load. - Acoustica, vol.9, pp.238-242.
• Martin B.A., Wenzel W.S. and White R.M. (1990): Viscosity and density sensing with ultrasonics plate waves. - Sensors and Actuators. - A21-A23, pp.704-708.
• Merculov I.G. (1964): Damping of normal modes in a plate immersed in a liquid. - Sov. Phys. Acoust, vol.10, pp.169-173.
• Nayfeh A.H. and Nagy P.B. (1997): Excess attenuation of leaky lamb waves due to viscous fluid loading. - Journal of Acoustical Society of America, vol.101, pp.2649-2658.
• Noda Naotake, Hetnarski R.B. and Tanigawa Y. (2000): Thermal Stresses. - New York, U.S.A: Lastran.
• Plona T.J., Behravesh M. and Mayer W.G. (1975): Rayleigh and Lamb waves at liquid-solid boundaries. - Ultrasonics, vol.13, pp.171-174 (July).
• Schoch V.A. (1952): Der schalldurchgang durch platen. (Sound Transmission in Plates). - Acoustica, vol.2, pp.1-17.
• Sharma J.N. and Pathania V. (2003a): Thermoelastic waves in a plate bordered with layers of inviscid Liquid. - Journal of Thermal Stresses, vol.26, pp.149-166.
• Sharma J.N. and Pathania V. (2003b): Generalized thermoelastic Lamb waves in a plate bordered with layers of inviscid Liquid. - Journal of Sound and Vibration, vol.268, pp.897-916.
• Sharma J.N. and Pathania V. (2004): Generalized thermoelastic waves in anisotropic plates sandwiched between liquid layers. - Journal of Sound and Vibration, vol.278, pp.383-411.
• Sharma J.N. and Pathania V. (2005): Crested Waves in thermoelastic plates immersed in liquid. - Journal of Vibration and Control, vol.11, pp.347-370.
• Sharma J.N., Pathania V. and Gupta S.K. (2003a): Thermoelastic Lamb waves in a transversely isotropic plate bordered with layers of inviscid liquid. - International Journal of Engineering Science, vol.41, pp.1219-1237.
• Sharma J.N., Pathania V. and Gupta S.K. (2003b): Circular crested waves in anisotropic thermoelastic plates bordered with inviscid liquid. - International Journal of Engineering Science, vol.41, pp.1219-1237.
• Sharma J.N. and Sharma R. (2008): Modelling of thermoelastic Rayleigh waves in a solid underlying a fluid layer with varying temperature. - Applied Mathematical Modelling, vol.33, pp.1683-1695.
• Sharma J.N., Kumar S. and Sharma Y.D. (2008): Propagation characteristics of Rayleigh surface waves in microstretch thermoelastic continua under inviscid fluid loadings. - Journal of Thermal Stresses, vol.31, pp.18-39.
• Viktorov I.A. (1967): Rayleigh and Lamb Waves Physical Theory and Applications. - NewYork: Plenum Press.
• Watkins R.D., Cooper W.H.B., Gillespie A.B. and Pike R.B. (1982): The attenuation of Lamb waves in the presence of liquid. - Ultrasonics, vol.20, pp.257-264.
• Wu J.R. and Zhu Z.M. (1991): The propagation of Lamb waves in a plate bordered with layers of a liquid. - Journal of Acoustical Society of America, vol.91, pp.861-867.
• Zaitsev B.D., Kuznetsova I.E. and Joshi S.J. (1997): Propagation of acoustic waves in plates bordered with viscous liquid. - IEEE Ultrasonics Symposium.
• Zhu Z. and Wu J. (1995): The propagation of Lamb waves in a plate bordered with a viscous liquid. - Journal of Acoustical Society of America, vol.98, pp.1057-1067.