In various areas of the acoustic NDT starting from nano and micro scales to geophysical scales, the high frequency Stoneley waves can give essential information on the physical properties of the adjacent layers along with information on possible interfacial cracks and other defects. The Wiechert condition imposed on the relation between bulk wave velocities of the contacting layers, play an important role in acoustic analyses, especially at analyzing high-frequency Stoneley waves arising and propagating along the interfaces. The present study concerns with a non-propagating condition for Stoneley waves at the vicinity of the Wiechert condition.
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Stoneley R (1924) Elastic waves at the surface of separation of two solids. Proc R Soc Lond Ser A Math Phys Sci 106:416–428
Sezawa K (1938) Formation of boundary waves at the surface of a discontinuity within the Earth's crust. Bull Earthq Res Inst Tokyo Univ 16:504–511
Sezawa K, Kanai K (1939) The range of possible existence of Stoneley waves, and some related problems. Bull Earthq Res Inst Tokyo Univ 17:1–8
Cagniard L (1939) Reflexion et Refraction des Ondes Seismiques Progressive. Gauthier- Villard, Paris
Scholte JG (1942) On the Stoneley wave equation. Proc Koninklijke Nederlandsche Akademie van Weten-schappen 45:159–164
Scholte JG (1947) The range of existence of Rayleigh and Stoneley waves. Geophys J Int 5(5):120–126
Ginzbarg AS, Strick E (1958) Stoneley-wave velocities for a solid-solid interface. Bull Seismol Soc Am 48(1):51–63
Lim TCT & Musgrave MJP (1970) Stoneley waves in anisotropic media. Nature 225:372
Lee DA, Corbly DM (1977) Use of interface waves for nondestructive inspection. IEEE Trans Sonics Ultrason 24:206–212
Murty GS (1975) A theoretical model for the attenuation and dispersion of Stoneley waves at the loosely bonded interface of elastic half spaces. Phys Earth Planet Inter 11:65–79
Murty GS (1975) Wave propagation at an unbounded interface between two elastic half-spaces. J Acoust Soc Am 58:1094–1095
Rokhlin S, Hefet M, Rosen M (1980) An elastic interface wave guided by a thin film between two solids. J Appl Phys 51:3579–3582
Barnett DM, Lothe J, Gavazza SD, Musgrave MJP (1985) Consideration of the existence of interfacial (Stoneley) waves in bonded anisotropic elastic half-spaces. Proc R Soc Lond Ser A Math Phys Sci 412:153–166
Stevens JL, Day SM (1986) Shear velocity logging in slow formations using the Stoneley wave. Geophysics 51:137–147
Barnett DM, Gavazza SD, Lothe J (1988) Slip waves along the interface between two anisotropic elastic half-spaces in sliding contact. Proc R Soc Lond Ser A Math Phys Sci 415:389–419
Norris AN (1989) Stoneley-wave attenuation and dispersion in permeable formations. Geophysics 54(3):330–341
Djeran-Maigre I, Kuznetsov SV (2011) Soliton-like Lamb waves in layered media. In: Vila RP (ed) Waves in fluids and solids. IntechOpen, London
Chi VP, Ha GPT (2012) Uniqueness of Stoneley waves in pre-stressed incompressible elastic media. Int J Non-Linear Mech 47:128–134
Kuznetsov SV (2019) Abnormal dispersion of flexural Lamb waves in functionally graded plates. Z Angew Math Phys 70(89):1–10
Kuznetsov SV (2019) Abnormal dispersion of Lamb waves in stratified media. Z Angew Math Phys 70(175):1–8
Kuznetsov SV (2019) Lamb waves in stratified and functionally graded plates: discrepancy, similarity, and convergence. Waves Random Complex Media 30:2–11
Achenbach JD (1987) Wave propagation in elastic solids. North-Holland series in applied mathematics and mechanics, vol 16. North-Holland, Amsterdam
Bailey DH (1993) Automatic translation of Fortran programs to multiprecision. NASA RNR Technical Report, RNR-91-025, pp 1–21
Stoneley R (1934) The transmission of Rayleigh waves in a heterogeneous medium. Mon Not R Astron Soc (Lond) Geophys Suppl 3:222–232
Koppe H (1948) Uber Rayleigh-Wellen an den Oberflache zweier Medien. Z Angew Math Mech 28:355–366
Eringen AC, Suhibi ES (1971) Elastodynamics: linear theory, vol 2. Academic Press Inc, New York
Takeuchi H, Saito M (1972) Seismic surface waves. In: Bolt BA (ed) Methods of computational physics, vol 11. Academic Press, New York, pp 217–295
Bullen KE, Bolt BA (1985) An introduction to the theory of seismology, 4th edn. Cambridge University Press, Cambridge
Gaherty JB (2004) A surface wave analysis of seismic anisotropy beneath eastern North America. Geophys J Int 158:1053–1066
Dal Moro G (2014) Surface wave analysis for near surface applications. Elsevier, New York
The author’s work was partially supported by the Russian Foundation for Basic Research, Grant No. 20-08-00419.
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Ilyashenko, A.V. Stoneley waves in a vicinity of the Wiechert condition. Int. J. Dynam. Control 9, 30–32 (2021). https://doi.org/10.1007/s40435-020-00625-y
- Bulk wave
- Stoneley wave
- Wiechert condition