111
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Regions of existence for Stoneley waves in auxetic and non-auxetic media

Pages 1946-1951 | Received 05 Sep 2020, Accepted 01 Nov 2020, Published online: 12 Nov 2020

References

  • R. Stoneley, Elastic waves at the surface of separation of two solids, Proc. R. Soc. London Ser. A. Math. Phys. Sci., vol. 106, pp. 416–428, 1924.
  • K. Sezawa, Formation of boundary waves at the surface of a discontinuity within the Earth's crust, Bull. Earthquake Res. Inst. Tokyo Univ., vol. 16, pp. 504–526, 1938.
  • K. Sezawa and K. Kanai, The range of possible existence of Stoneley waves, and some related problems, Bull. Earthquake Res. Inst. Tokyo Univ., vol. 17, pp. 1–8, 1939.
  • J.G. Scholte, On the Stoneley wave equation. II, Proceedings/Koninklijke Nederlandsche Akademie van Wetenschappen, vol. 45, pp. 159–164, 1942b.
  • L. Cagniard, Reflexion et Refraction des Ondes Seismiques Progressive, Gauthier-Villard, Paris, 1939.
  • A.S. Ginzbarg and E. Strick, Stoneley-wave velocities for a solid-solid interface, Bull. Seismol. Soc. Am., vol. 48, pp. 51–63, 1958.
  • G.S. Murty, Wave propagation at an unbounded interface between two elastic half-spaces, J. Acous. Soc. Am., vol. 58, no. 5, pp. 1094–1095, 1975. DOI: 10.1121/1.380771.
  • P.G. Malischewsky, Surface Waves and Discontinuities, Elsevier, Amsterdam, 1987.
  • T.M. Hsieh and M. Rosen, Ultrasonic leaky waves for non-destructive interface characterization, Ultrasonics, vol. 31, no. 1, pp. 45–52, 1993. DOI: 10.1016/0041-624X(93)90032-U.
  • I. Djeran-Maigre and S.V. Kuznetsov, Soliton-Like Lamb waves in layered media. In: Ruben Pico Vila (ed) Waves in Fluids and Solids, IntechOpen, London, pp. 53–68, 2011.
  • P.C. Vinh, P.G. Malischewsky, and P.T.H. Giang, Formulas for the speed and slowness of Stoneley waves in bonded isotropic elastic half-spaces with the same bulk wave velocities, Int. J. Eng. Sci., vol. 60, pp. 53–58, 2012. DOI: 10.1016/j.ijengsci.2012.05.002.
  • A. Ilyashenko and S. Kuznetsov, SH waves in anisotropic (monoclinic) media, Z. Angew. Math. Phys., vol. 69, no. 17, pp. 1–10, 2018. DOI: 10.1007/s00033-018-0916-y.
  • S.V. Kuznetsov, Abnormal dispersion of Lamb waves in stratified media, Z. Angew Math. Phys., vol. 70, no. 175, pp. 1–8, 2019.
  • A.V. Ilyashenko, Stoneley waves in a vicinity of the Wiechert condition, Int. J. Dynam. Control, Epub ahead of print 2020. DOI: 10.1007/s40435-020-00625-y.
  • J.G. Scholte, On the Stoneley wave equation. I, Proceedings/Koninklijke Nederlandse Akademie van Wetenschappen, vol. 45, no. 1, pp. 20–25, 1942a.
  • J.G. Scholte, The range of existence of Rayleigh and Stoneley waves, Geophys. Suppl. Monthly Notices Roy Astronom Soc., vol. 5, no. 5, pp. 120–126, 1947. DOI: 10.1111/j.1365-246X.1947.tb00347.x.
  • J. Kaplunov and D. Prikazchikov, Asymptotic theory for Rayleigh and Rayleigh-Type waves, Adv. Appl. Mech., vol. 50, pp. 1–106, 2017.
  • P.T. Wootton, J. Kaplunov, and D. Prikazchikov, A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane, IMA J. Appl. Math., vol. 85, no. 1, pp. 113–131, 2020. DOI: 10.1093/imamat/hxz037.
  • P. Solin, Partial Differential Equations and the Finite Element Method, John Wiley & Sons, Hoboken, NJ, 2005.
  • F. Treves, On the theory of linear partial differential operators with analytic coefficients, Trans. Am. Math. Soc., vol. 137, pp. 1–20, 1969. DOI: 10.2307/1994784.
  • S.V. Kuznetsov, On the operator of the theory of cracks, Comptes Rendus. Ser. II, vol. 323, no. 7, pp. 427–432, 1996.
  • S.V. Kuznetsov, Fundamental and singular solutions of Lame equations for media with arbitrary elastic anisotropy, Quart. Appl. Math., vol. 63, no. 3, pp. 455–467, 2005. DOI: 10.1090/S0033-569X-05-00969-X.
  • J.L. Stevens and S.M. Day, Shear velocity logging in slow formations using the Stoneley wave, Geophysics, vol. 51, no. 1, pp. 137–147, 1986. DOI: 10.1190/1.1442027.
  • M. Pfender and H.W. Villinger, 2006. Estimating fracture density in oceanic basement: an approach using Stoneley wave analysis. In: Morris JD, Villinger HW and Klaus A (eds), Proc. ODP, Sci. Results, 205: 1–22, Ocean Drilling Program: College Station, TX. DOI: 10.2973/odp.proc.sr.205.206.2006.
  • W. Ou and Zh Wang, Simulation of Stoneley wave reflection from porous formation in borehole using FDTD method, Geophys. J. Int., vol. 217, no. 3, pp. 2081–2096, 2019. DOI: 10.1093/gji/ggz144.
  • B. Li, M.-H. Li, and T. Lu, Interface waves in multilayered plates, J. Acoust. Soc. Am., vol. 143, no. 4, pp. 2541–2553, 2018. DOI: 10.1121/1.5033902.
  • E. Wiechert and K. Zöppritz, Our present knowledge of the earth, In: Report Board of Regents Smithsonian Institution, pp. 431–439, 1908.
  • E. Wiechert and L. Geiger, Bestimmung des Weges der, Erdbebenwellen im Erdinnern. Phys Zeit., vol. II, pp. 294–311, 1910.
  • D.M. Barnett, J. Lothe, S.D. Gavazza, and M.J.P. Musgrave, Consideration of the existence of interfacial (Stoneley) waves in bonded anisotropic elastic half-spaces, Proc. R. Soc. London Ser. A. Math. Phys. Sci., vol. 412, pp. 153–166, 1985.
  • D.M. Barnett, S.D. Gavazza, and J. Lothe, Slip waves along the interface between two anisotropic elastic half-spaces in sliding contact, Proc. R. Soc. London Ser. A. Math. Phys. Sci., vol. 415, pp. 389–419, 1988.
  • P. Chadwick and P. Borejko, Existence and uniqueness of Stoneley waves, Geophys. J. Int., vol. 118, no. 2, pp. 279–284, 1994. DOI: 10.1111/j.1365-246X.1994.tb03960.x.
  • T.C. Lim and M.J.P. Musgrave, Stoneley waves in anisotropic media, Nature, vol. 225, no. 5230, pp. 372–381, 1970. DOI: 10.1038/225372a0.
  • T. C. T. Ting, Secular equations for Rayleigh and Stoneley waves in exponentially graded elastic materials of general anisotropy under the influence of gravity, J. Elast., vol. 105, no. 1-2, pp. 331–347, 2011. DOI: 10.1007/s10659-011-9314-9.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.