On Lamb Waves in a Thermoelastic Plate in the Presence of IdealFluid with Varied Temperature
Abstract
In this paper,we studied the phenomenon of wave motion in a homogeneously isotropic, thermoelastic solid plate framed with ideal fluid layers on its both sides with varying temperatures. In the light of the classical theory of thermo-elasticity, all the work is carried out and for Lamb-type thermoelastic wavespropagating in the plate,the secular equations are gobbled up for symmetric and skew-symmetric wave style. The different cases of secular equations are also discussed in the framework of the uncoupled thermo-elasticity.The dispersion equations for three different regions are also deduced. It is found that the SH mode remains unaffected by thermal variations and keeps itself isolated from the rest of the coupled motion of elastic waves (longitudinal and SV modes) and thermal waves (T-mode).Onewave in each liquid layer also exists due to the presence of ideal fluid loadings. The numerical resultsfor an aluminum-epoxy materialcladded with water are carried out. A wide range of scopes of this research area is available in various fields such as ultrasonics, earthquake engineering, soil dynamics, seismology, etc.
References
Lamb,H., On waves in an elastic plate, Proceedings of Royal Society, London, Series 93, 114–128 (1917).
Schoch, V. A., Der schalldurchgang durch platten (Sound transmission in plates), Acoustica, 2, 1-17(1952).
Puri,P., Plane waves in thermoelasticity and magnetothermoelasticity, Int. J. of Engng. Sci., 10, 467-477 (1972).
Plona, T.J., Mayer, W.G. and Behravesh, M.: Rayleigh and Lamb waves at liquid-solid boundaries, Ultrasonics, 13, 171-175 (1975).
Graff, K.F., Wave Motion in Elastic Solids, Dover, New York (1991).
Wu. J. and Zhu,Z., The propagation of Lamb waves in a plate bordered with layers of a liquid, J. Acoust. Soc. Am., 91, 861 –867 (1992).
Sharma, J.N., Singh, D. and Kumar, R., Generalized thermoelastic waves in homogeneous isotropic plates, J. Acous. Soc. Am., 108, 848-851 (2000).
Sharma, J.N. and Pathania, V., Thermoelastic waves in a plate bordered with layers of inviscid Liquid, J. Therm. Stresses. 26, 149-166 (2003)
Sharma, J.N. and Pathania, V.,Propagation of leaky Rayleigh and Lamb waves in thermoelastic solids due to inviscid fluid loadings, Journal of Thermal Stresses, 28, 485-519 (2005).
Kumar, R. and Barak, M.S., Wave propagation in a liquid saturated porous solid with micro polar elastic skeleton at boundary surface, Journal Applied Mathematics and Mechanics,28(3), 337-349(2007).
Barak, M.S., Wave propagation in elastic solid with micropolar elastic skelton at boundary surface, Journal of Mathematical Biosciences (GAMS) 3(1), 31-45(2007).
Pathania,S., Sharma, J.N., Pathania,V. and Sharma,P.K.,Generalized thermoelastic waves in anisotropic plates sandwiched between viscous liquid layers, International Journal of Applied Math and Mechanics,7(5), 62-88 (2011).
Kumar S., Sharma, J.N. and Sharma, Y.D., Generalized thermoelastic waves in microstretch plates loaded with fluid of varying temperature,International Journal of Applied Mechanics 3(3), 563–586 (2011).
Pathania, S., Sharma, P. K. and Sharma,J. N., Circular waves in thermoelastic plates sandwiched between liquid layers, Journal of International Academy of Physical Sciences, 16(3), 163-170 (2012).
Barak, M.S., Kaliraman, V. and Kumari, N., Reflection and refraction of wave in two welded contact infinite unbounded half spaces, International Journal of Research in Engineering and Applied Sciences, 5(3), 84-110 (2015).
Barak, M.S. and Kaliraman, V., Effect to loosely bonded interface on wave propagation between two half space, International Research Journal of Natural and Applied Sciences, 3(3), 127-145 (2016).
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