Soliton-like Dispersive Lamb Waves in an Anisotropic Layer

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详细

For an anisotropic layer with arbitrary elastic anisotropy, dispersion relations for harmonic plane Lamb waves are constructed, and an analysis of solutions for a symmetric fundamental mode at an infinitely small frequency (soliton-like waves) is performed. Dispersion equations for Lamb waves, including the corresponding limiting values, are obtained in explicit form.

作者简介

A. Ilyashenko

Moscow State University of Civil Engineering

编辑信件的主要联系方式.
Email: avi_56@mail.ru
Moscow, Russia

参考

  1. Planat M., Hoummady M. Observation of soliton-like envelope modulation generated in an anisotropic quartz plate by metallic in interdigital transducers, Appl. Phys. Lett. // 1989. V. 55. P. 103–112.
  2. Davies R.M. A critical study of the Hopkinson pressure bar // Phil. Trans. R. Soc. 1948. V. A240. P. 375–457.
  3. Mindlin R.D., McNiven H.D. Axially symmetric waves in elastic rods // J. Appl. Mech. 1960. V. 27. P. 145–151.
  4. Onoe M., McNiven H.D., Mindlin R.D. Dispersion of axially symmetric waves in elastic rods // J. Appl. Mech. 1962. V. 29. P. 729–734.
  5. Graff K.F. Wave Motion in Elastic Solids. Clarendon Press: Oxford. 1975.
  6. Kawahara T. Oscillatory solitary waves in dispersive media // J. Phys. Soc. Japan. 1972. V. 33. P. 260–268.
  7. Soerensen M.P., Christiansen P.L., Lomdahl P.S. Solitary waves on nonlinear elastic rods. I. // J. Acoust. Soc. Amer. 1984. V. 76. P. 871–879.
  8. Porubov I.V., Samsonov A.M., Velarde M.G., Bukhanovsky A.V. Strain solitary waves in an elastic rod embedded in another elastic external medium with sliding // Phys.Rev. Ser. E. 1998. V. 58. P. 3854–3864.
  9. Lamb H. On waves in an elastic plate // Proc. Roy. Soc. 1917. V. A93. P. 114–128.
  10. Kuznetsov S.V. Subsonic Lamb waves in anisotropic plates // Quart. Appl. Math. 2002. V. 60. P. 577–587.
  11. Thomson W.T. Transmission of elastic waves through a stratified solid medium // J. Appl. Phys. 1950. V. 21. № 2. P. 89–93.
  12. Haskell N.A. Dispersion of surface waves on multilayered media // Bull. Seismol. Soc. America. 1953. V.43. № 1. P. 17–34.
  13. Knopoff L. A matrix method for elastic wave problems // Bull. Seismol. Soc. America. 1964. V.54. № 1. P. 431–438.
  14. Kuznetsov S.V. Fundamental and singular solutions of Lamé equations for media with arbitrary elastic anisotropy // Quart. Appl. Math. 2005. V. 63. P. 455–467.
  15. Goldstein R.V., Kuznetsov S.V. Long-wave asymptotics of Lamb waves // Mech. Solids. 2017. V. 52. P. 700–707. https://doi.org/10.3103/S0025654417060097
  16. Kuznetsov S.V. SH-waves in laminated plates // Quart. Appl. Math. 2006. V.64. № 1. P. 153–165.
  17. Meier C.D. Matrix Analysis and Applied Linear Algebra. SIAM: N.Y.,2002.
  18. Djeran-Maigre I. Velocities, dispersion, and energy of SH-waves in anisotropic laminated plates // Acoust. Phys. 2014. V. 60. P. 200–207. https://doi.org/10.1134/S106377101402002X
  19. Ilyashenko A.V., Kuznetsov S.V. Pochhammer–Chree waves: polarization of the axially symmetric modes // Arch. Appl. Mech. 2018. V. 88. P. 1385–1394. https://doi.org/10.1007/s00419-018-1377-7
  20. Kravtsov A.V., Sekerzh-Zenkovich, S.Y. Finite element models in Lamb’s problem // Mech. Solids. 2011. V. 46. P. 952–959.
  21. Goldstein R.V., Dudchenko A.V., Kuznetsov S.V. The modified Cam-Clay (MCC) model: cyclic kinematic deviatoric loading // Arch. Appl. Mech. 2016. V. 86. P. 2021–2031. https://doi.org/10.1007/s00419-016-1169-x
  22. Li S., Brun, M., Djeran-Maigre I. Explicit/implicit multi-time step co-simulation in unbounded medium with Rayleigh damping and application for wave barrier // European Journal of Environmental and Civil Engineering, 2020. V. 24. № 14. P. 2400–2421. https://doi.org/10.1080/19648189.2018.1506826
  23. Li S., Brun, M., Djeran-Maigre I. Benchmark for three-dimensional explicit asynchronous absorbing layers for ground wave propagation and wave barriers // Computers and Geotechnics. 2021. V. 131. Article 103808. https://doi.org/10.1080/19648189.2018.1506826
  24. Ilyashenko A.V., Kuznetsov S.V. Theoretical aspects of applying Lamb waves in nondestructive testing of anisotropic media // Russian Journal of Nondestructive Testing. 2017. V. 53. № 4. P. 243–259. https://doi.org/10.1134/S1061830917040039
  25. Kuznetsov S.V. “Forbidden” planes for Rayleigh waves // Quart. Appl. Math. 2002. V. 60. P. 87–97. https://doi.org/10.1090/qam/1878260
  26. Dudchenko A.V., Dias D. Vertical wave barriers for vibration reduction // Arch. Appl. Mech. 2021. V. 91. P. 257–276.
  27. Kolsky H. Stress waves in solids // J. Sound Vibr. 1964. V. 1. P. 88–110.
  28. Onoe M., McNiven H.D., Mindlin R.D. Dispersion of axially symmetric waves in elastic rods // Trans. ASME. J. Appl. Mech. 1962. V. 29. P. 729–734.
  29. Zemanek J. An experimental and theoretical investigation of elastic wave propagation in a cylinder // J. Acoust. Soc. Amer. 1972. V. 51. P. 265–283.

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