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Horizontally polarized shear waves in stratified anisotropic (monoclinic) media

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The dispersion relations are derived for the horizontally polarized shear (SH) waves in stratified anisotropic plates with arbitrary elastic anisotropy. Analytical expressions for the vectorial group and ray velocities of SH waves propagating in anisotropic layers with monoclinic symmetry are obtained. Closed form relations between velocities and specific kinetic and strain energy for SH waves are derived and analyzed.
Słowa kluczowe
Rocznik
Strony
305--315
Opis fizyczny
Bibliogr. 26 poz.
Twórcy
  • Moscow State University of Civil Engineering Yaroslawskoe sh., 26 Moscow, Russia
  • Institute for Problems in Mechanics Russian Academy of Sciences Prosp. Vernadskogo, 101 Moscow, 119526 Russia
Bibliografia
  • 1. A.E.H. Love, Some Problems of Geodynamics, Cambridge University Press, London, 1911.
  • 2. E. Dieulesaint, D. Royer, Elastic Waves in Solids, Wiley, N.Y., 1980.
  • 3. J.W. Rayleigh, On wave propagating along the plane surface of an elastic solid, Proceedings of the London Mathematical Society, 17, 4–11, 1885.
  • 4. J.W. Rayleigh, On the free vibrations of an infinite plate of homogeneous isotropic elastic matter, Proceedings of the London Mathematical Society, 20, 225–234, 1889.
  • 5. H. Lamb, On waves in an elastic plate, Proceedings of the Royal Society, A93, 114–128, 1917.
  • 6. M.A. Biot, General theorems on the equivalence of group velocity and energy transport, Physical Review, 105, 1129–1137, 1957.
  • 7. B.A. Auld, Acoustic Fields and Waves in Solids, Vol. 2, 2nd ed., Krieger Publishing Company, Florida, 1990.
  • 8. B.D. Zaitsev, I.E. Kuznetsova, The energy density and power flow of acoustic waves propagating in piezoelectric media, IEEE Ultrasonics, Ferroelectrics, and Frequency Control Society, 50, 1762–1765, 2003.
  • 9. B.D. Zaitsev et al., The peculiarities of energy characteristics of acoustic waves in piezoelectric materials and structures, Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 54, 605–611. 2007.
  • 10. V. Laude, A. Reinhardt, A. Khelif, Equality of the energy and group velocities of bulk acoustic waves in piezoelectric media, IEEE Ultrasonics, Ferroelectrics, and Frequency Control Society, 52, 1869–1871, 2005.
  • 11. Y. Luo et al., Rayleigh-Wave dispersive energy imaging using a high-resolution linear Radon transform, Pure and Applied Geophysics, 165, 903–922, 2008.
  • 12. V.I. Alshitz, On the role of anisotropy in chrystalloacoustics, [in:] NATO Advanced Research Workshop on Surface Waves, Kluwer, Moscow, 1–35, 2004.
  • 13. S.V. Kuznetsov, Love waves in laminated plates, Quarterly of Applied Mathematics, 64, 153–165, 2006.
  • 14. S.V. Kuznetsov, Love waves in nondestructive diagnostics of layered composites, Acoustical Physics, 56, 877–892, 2010.
  • 15. D.M. Barnett, J. Lothe, Synthesis of the sextic and the integral formalism for dislocations, Greens functions, and surface waves in anisotropic elastic solids, Phys. Norv., 7, 13–19, 1973.
  • 16. T.C.T. Ting, D.M. Barnett, Classifications of surface waves in anisotropic elastic materials, Wave Motion, 26, 207–218, 1997.
  • 17. K. Negishi, Existence of negative group velocities for Lamb waves, Japanese Journal of Applied Physics, 26, 1, 171–173, 1987.
  • 18. G.R. Liu, J. Tani, K. Watanabe, T. Ohyoshi, Lamb wave propagation in anisotropic laminates, Journal of Applied Mechanics, 57, 923–929, 1990.
  • 19. G. Neau, M. Deschamps, M.J.S. Lowe, Group velocity of Lamb waves in anisotropic plates: Comparison between theory and experiment, [in:] Review of Progress in Quantitative NDE, 20, 81–88, 2001.
  • 20. L.R.F. Rose, On the energy radiated by Rayleigh waves, Wave Motion, 6, 4, 359–361, 1984.
  • 21. F.J. Sánchez-Sesma, et al. Energy partitions among elastic waves for dynamic surface loads in a semi-infinite solid, Bulletin of the Seismological Society of America, 101, 4, 1704–1709, 2011.
  • 22. S.V. Kuznetsov, Lamb waves in anisotropic plates, Acoustical Physics, 60, 95–103, 2014.
  • 23. P.I. Galich, N.X. Fang, M.C. Boyce, S. Rudykh, Elastic wave propagation in finitely deformed layered materials, Journal of the Mechanics and Physics of Solids, 98, 390–410, 2017.
  • 24. P.I Galich, V. Slesarenko, S. Rudykh, Shear wave propagation in finitely deformed 3D fiber-reinforced composites, International Journal of Solids and Structures, 110–111, 294–304, 2017.
  • 25. P.I Galich, V. Slesarenko, S. Rudykh, Corrigendum to “Shear wave propagation in finitely deformed 3D fiber-reinforced composites”, International Journal of Solids and Structures, 135, 303–304, 2018.
  • 26. S.V. Kuznetsov, Lamb waves in anisotropic plates (Review), Acoustical Physics 60, 1, 95–103, 2014.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0b69065a-7b78-4913-b3ef-0d7de97992b9
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