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Rayleigh waves in an incompressible orthotropic half-space coated by a thin elastic layer

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Języki publikacji
EN
Abstrakty
EN
The present paper is concerned with the propagation of Rayleigh waves in an orthotropic elastic half-space coated with a thin orthotropic elastic layer. The halfspace and the layer are both incompressible and they are in welded contact to each other. The main purpose of the paper is to establish an approximate secular equation of the wave. By using the effective boundary condition method an approximate secular equation of third-order in terms of the dimensionless thickness of the layer is derived. It is shown that this approximate secular equation has high accuracy. From it an approximate formula of third-order for the velocity of Rayleigh waves is obtained and it is a good approximation. The obtained approximate secular equation and formula for the velocity will be useful in practical applications.
Rocznik
Strony
173--184
Opis fizyczny
Bibliogr. 19 poz., rys.
Twórcy
autor
  • Faculty of Mathematics, Mechanics and Informatics Hanoi University of Science 334, Nguyen Trai Str., Thanh Xuan, Hanoi, Vietnam
autor
  • Department of Engineering Mechanics Water Resources University of Vietnam 175 Tay Son Str., Hanoi, Vietnam
autor
  • Faculty of Mathematics, Mechanics and Informatics Hanoi University of Science 334, Nguyen Trai Str., Thanh Xuan, Hanoi, Vietnam
Bibliografia
  • 1. P. Hess, A.M. Lomonosov, A.P. Mayer, Laser-based linear and nonlinear guidem elastic waves at surfaces (2D) and wedges (1D), Ultrasonics, 54, 39–55, 2014.
  • 2. S. Makarov, E. Chilla, H.J. Frohlich, Determination of elastic constants of thin films from phase velocity dispersion of different surface acoustic wave modes, J. Appl. Phys., 78, 5028–5034, 1995.
  • 3. A.G. Every, Measurement of the near-surface elastic properties of solids and thin supported film, Meas. Sci. Technol., 13, R21–39, 2002.
  • 4. K. Kuchler, E. Richter, Ultrasonic surface waves for studying the properties of thin films, Thin Solid Films, 315, 29–34, 1998.
  • 5. J.D. Achenbach, S.P. Keshava, Free waves in a plate supported by a semi-infinite continuum, J. Appl. Mech., 34, 397–404, 1967.
  • 6. H.F. Tiersten, Elastic surface waves guided by thin films, J. Appl. Phys., 46, 770–789, 1969.
  • 7. P. Bovik, A comparison between the Tiersten model and O(H) boundary conditions for elastic surface waves guided by thin layers, J. Appl. Mech., 63, 162–167, 1996.
  • 8. A.J. Niklasson, S.K. Datta, M.L. Dunn, On approximating guided waves in thin anisotropic coatings by means of effective boundary conditions, J. Acoust. Soc. Am., 108, 924–933, 2000.
  • 9. S.I. Rokhlin, W. Huang, Ultrasonic wave interaction with a thin anisotropic layer between two anisotropic solids. II. Second-order asymptotic boundary conditions, J. Acoust. Soc. Am., 94, 3405–3420, 1993.
  • 10. Y. Benveniste, A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media, J. Mech. Phys. Solids, 54, 708–734, 2006.
  • 11. D.J. Steigmann, R.W. Ogden, Surface waves supported by thin-film/substrate interactions, IMA J. Appl. Math., 72, 730–747, 2007.
  • 12. T.C.T. Ting, Steady waves in an anisotropic elastic layer attached to a half-space or between two half-spaces – A generalization of Love waves and Stoneley waves, Math. Mech. Solids, 14, 52–71, 2009.
  • 13. P.C. Vinh, N.T.K. Linh, An approximate secular equation of Rayleigh waves propagating in an orthotropic elastic half-space coated by a thin orthotropic elastic layer, Wave Motion, 49, 681–689, 2012.
  • 14. P.C. Vinh, N.T.K. Linh, An approximate secular equation of generalized Rayleigh waves in pre-stressed compressible elastic solids, Int. J. Non-Linear Mech., 50, 91–96, 2013.
  • 15. P.C. Vinh, V.T.N. Anh, Rayleigh waves in an orthotropic elastic half-space coated by a thin orthotropic elastic layer with smooth contact, Int. J. Eng. Sci., 75, 154–164, 2014.
  • 16. P.C. Vinh, V.T.N. Anh, V.P. Thanh, Rayleigh waves in an isotropic elastic half-space coated by a thin isotropic elastic layer with smooth contact, Wave Motion, 51, 496–504, 2014.
  • 17. T.T. Tuan, The ellipticity (H/V-ratio) of Rayleigh surface waves, PhD thesis, Friedrich Schiller University Jena, 2008.
  • 18. J. Wang, J. Du, W. Lu, H. Mao, Exact and approximate analysis of surface acoustic waves in an infinite elastic plate with a thin metal layer, Ultrasonics, 44, e941–e945, 2006.
  • 19. R.W. Ogden, P.C. Vinh, On Rayleigh waves in incompressible orthotropic elastic solids, J. Acoust. Soc. Am., 115 (2), 530–533, 2004.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-575c6a5f-812f-4f85-b319-5d289ff1995c
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