Abstract
The direction dependence of surface wave speed and the influence of electrically and magnetically short/open circuit are investigated in this paper. First, the elastic, piezoelectric and piezomagnetic coefficients in the considered ordinate system are obtained by Bonde transformation from those in the crystal axis ordinate system. Then, the secular equation of surface wave is derived from the free traction condition on the surface of half space with consideration of short/open circuit case. Some numerical examples are given. The direction dependence of surface wave speed and the influences of short/open circuit are shown graphically and discussed based on the numerical results.
Similar content being viewed by others
References
Crampin, S. and Taylor, D.B., The propagation of surface waves in anisotropic media. Geophysical Journal International, 1997, 25 (1–3): 71–87.
Currie, P.K., The secular equation for Rayleigh waves on elastic crystals. Quarterly Journal of Mechanics and Applied Mathematics, 1979, 32(2): 163–173.
Lothe, J. and Barnett, D.M., On the existence of surface-wave solutions for anisotropic elastic half-spaces with free surface. Journal of Applied Physics, 1976, 47: 428–433.
Ting, T.C.T. and Barnett, D.M., Classifications of surface waves in anisotropic elastic materials. Wave Motion, 1997, 26(3): 207–218.
Barnett, D.M., Bulk, surface, and interfacial waves in anisotropic linear elastic solids. International Journal of Solids and Structures, 2000, 37(1–2): 45–54.
Mielke, A. and Fu, Y.B., Uniqueness of the surface-wave speed: a proof that is independent of the Stroh formalism. Mathematics and Mechanics of Solids, 2004, 9: 5–15.
Nathalie, F.C., Dimitri, K, Carcione, J.M. and Cavallini, F., Elastic surface waves in crystals. Part 1: Review of the physics. Ultrasonics, 2011, 51(6): 653–660.
Destrade, M., The explicit secular equation for surface acoustic waves in monoclinic elastic crystals. Journal of the Acoustical Society of America, 2001, 109(4): 1398–1402.
Kossovich, L.Y., Moukhomodiarov, R.R. and Rogerson, G.A., Analysis of the dispersion relation for an incompressible transversely isotropic elastic plate. Acta Mechanica, 2002, 153(1–2): 89–111.
Ting, T.C.T., An explicit secular equation for surface waves in an elastic material of general anisotropy. Quarterly Journal of Mechanics and Applied Mathematics, 2002, 55(2): 297–311.
Ting, T.C.T., The polarization vector and secular equation for surface waves in an anisotropic elastic half space. International Journal of Solids and Structures, 2004, 41(8): 2065–2083.
Darinskii, A.N. and Lyubimov, V.N., Shear interfacial waves in piezoelectrics. Journal of the Acoustical Society of America, 1999, 106(6): 3296–3304.
Peach, R., On the existence of surface acoustic waves on piezoelectric substrates. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2001, 48(5): 1308–1320.
Takali, F., Njeh, A. and Ben, M.H., Surface acoustic wave energy in piezoelectric material. Physics Procedia, 2009, 2(3): 1369–1375.
Feng, W.J., Pan, E., Wang, X. and Jin, J., Rayleigh waves in magneto-electro-elastic half planes. Acta Mechanica, 2009, 202: 127–134.
Auld, B.A., Acoustic Fields and Waves in Solids. John Wiley, 1973: 363–374.
Oliner, A.A., Acoustic Surface Waves. Berlin and New York: Springer-Verlag, 1978: 38–39.
Huang, J.H. and Kuo, Wen-shyong, The analysis of piezoelectric/piezomagnetic composites materials containing ellipsoidal inclusions. Journal of Applied Physics, 1997, 81(3):1378–1386.
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the National Natural Science Foundation of China (No. 10972029), the Science and Technology Program of Educational Commission of Heilongjiang Province of China (No. 12541869) and the Program of Young Teachers Scientific Research in Qiqihar University (No. 2014K-Z03).
Rights and permissions
About this article
Cite this article
Li, L., Wei, P. The Direction Dependence of Surface Wave Speed at the Surface of Magneto-Electro-Elastic Half-Space. Acta Mech. Solida Sin. 28, 102–110 (2015). https://doi.org/10.1016/S0894-9166(15)60020-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1016/S0894-9166(15)60020-9