Group and Phase Velocity of Love Waves Propagating in Elastic Functionally Graded Materials
The dispersion curves of phase and group velocity of surface Love waves in inhomogeneous elastic graded materials are evaluated. The integral formula for the group velocity of Love waves in nonhomogeneous elastic graded materials has been established. The results obtained in this paper can give a deeper insight into the nature of Love waves propagation in elastic nonhomogeneous functionally graded materials.
Achenbach, J.D. (1973), Wave propagation in elastic solids, North-Holland, Amsterdam.
Adams, M. (1981), An introduction to optical waveguides. Wiley, Chichester.
Auld, B.A. (1991), Surface acoustic waves and devices, Archives of Acoustics, 16, 11-30.
Bakhvalov, N.S. (1977), Numerical methods: analysis, algebra, ordinary differential equations, Mir, Moscow.
Ciplys, D., Paskauskas, J., Rimeika, R. (1995), Collinear diffraction of guided optical modes by dispersive surface acoustic waves in Z-cut proton –exchanged LiNbO3, SPIE Proceedings, vol. 2643, Acoustooptics and Applications II, October1995, 244-252, doi:10.1117/12.222749.
Gupta S., Majhi, D.K., Kundu, S., Vishwakarma, S.K. (2013), Propagation of Love waves in non-homogeneous substratum over initially stressed heterogeneous half-space, Applied Mathematics and Mechanics (English Edition), 34, 249-258.
Haskell, N.A. (1953), The dispersion of surface waves on multilayered media, Bulletin of the Seismological Society of America, 43, 17-34.
Hirao, M., Sotani, Y., Takami, K., Fukuoka,H. (1981), Love wave propagation in a solid with a cold-worked surface layer, Journal of Nondestructive Evaluation, 2, 51-55.
Kiełczyński, P. (1981), Propagation of surface SH waves in nonhomogeneous media, Journal of Technical Physics, 22, 73-78.
Kiełczyński, P., Pajewski, W. (1989), Inverse method for determining the depth of nonhomogeneous surface layers in elastic solids from the measurements of the dispersion curves of group velocity of surface SH waves, Applied Physics A, 48, 423-429.
Kiełczyński, P., Szalewski, M., Balcerzak, A., Rostocki, A.J., Tefelski, D.B. (2011a), Applications of SH surface acoustic waves for measuring the viscosity of liquids in function of pressure and temperatures, Ultrasonics, 51, 921-924.
Kiełczyński, P., Szalewski, M. (2011b), An inverse method for determining the elastic properties of thin layers using Love surface waves, Inverse Problems in Science and Engineering, 19, 31-43.
Kiełczyński, P., Szalewski, M., Balcerzak, A. (2012a), Effect of a viscous liquid loading on Love wave propagation, International Journal of Solids and Structures, 49, 2314-2319.
Kiełczyński, P., Szalewski, M., Balcerzak, A., Malanowski, A., Siegoczyński, R.M., & Ptasznik, S. (2012b), Investigation of high-pressure phase transitions in DAG (diacylglycerol) oil using the Bleustein-Gulyaev ultrasonic wave method, Food Research International, 49, 60-64.
Kiełczyński, P., Szalewski, M., Balcerzak, A. (2014), Inverse procedure for simultaneous evaluation of viscosity and density of Newtonian liquids from dispersion curves of Love waves, Journal of Applied Physics, 116, 044902 (7 pages).
Kuznetsov, S.V. (2010), Love waves in nondestructive diagnostics of layered composites, Acoustical Physics, 56, 877-892.
Kuznetsov, S.V., Nafasov, A.E. (2011), Horizontal acoustic barriers for protection from seismic waves, Advances in Acoustics and Vibrations, Vol. 2011, Article ID 150310, 8 pages, doi:10.1155/2011/150301.
Tamir, T. (ed), (1975), Integrated Optics, Springer, Berlin.
Thompson, W.T. (1950), Transmission of elastic waves through a stratified solid medium, Journal of Applied Physics, 21, 89-93.
Tournois, P., Lardat, C. (1969), Love wave-dispersive delay lines for wide-band pulse compression, IEEE Trans on Sonics and Ultrasonics, 16, 107-116.
Urbańczyk, M., Jakubik, W. (1997), Devices for measurement of the NO2 concentration in the air by means of surface acoustic waves, Archives of Acoustics, 22, 197-206.
Wang, W., Oh, H., Lee, K., Yang, S. (2008), Enhanced sensitivity of wireless chemical sensor based on Love wave mode, Japanese Journal of Applied Physics, 47, 7372-7379.
Wang, H.M., Zhao, Z.C. (2013), Love waves in a two-layered piezoelectric/elastic composite plate with an imperfect interface, Archives of Applied Mechanics, 83, 43-51.
Water, W., Chen, S.E. (2009), Using ZnO nanorods to enhance sensitivity of liquid sensor, Sensors and Actuators B: Chemical, 136, 371-375.
Zhang, Z., Wen, Z., Wang, C. (2013), Investigation of surface acoustic waves propagating in ZnO-SiO2-Si multilayer structure, Ultrasonics, 53, 363-368.
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