Surface waves and other acoustic modes in semi-infinite anisotropic media

Alshits, V. I.

Artykuł - szczegóły

Tytuł artykułu

Surface waves and other acoustic modes in semi-infinite anisotropic media

Autorzy

Alshits V. I.

Identyfikatory

Warianty tytułu

Konferencja

Workshop on dynamic problems in anisotropic solids (3; 19.11.2003; Kielce, Polska)

Języki publikacji

Abstrakty

A brief survey is presented of the theory of acoustic eigen-modes in elastic half-spaces of unrestricted anisotropy with or without piezo-electric, piezo-magnetic and magnetoelectric couplings. Existence conditions and possible numbers of different wave modes for various boundary-value problems are considered. Subsonic, supersonic, quasi-bulk and leaky surface waves as well as homogeneous and inhomogeneous exceptional bulk waves and some other modes are described. Relations between group, ray and tracing velocities of surface waves in piezolelectrics are established. The reflection problem is considered in the same terms theory of surface waves. The condition for a simple reflection is found. A resonance reflection of bulk waves with the tracing speed close to that of a leaky surface waves is discussed.

Słowa kluczowe

acoustics anisotropy

Wydawca

Wydawnictwo Politechniki Świętokrzyskiej

Czasopismo

Zeszyty Naukowe Politechniki Świętokrzyskiej. Mechanika

Rocznik

2004

Tom

Z. 81

Strony

7--44

Opis fizyczny

Bibliogr. 104 poz., rys.

Twórcy

autor

Alshits V. I.

alshits@ns.crys.ras.ru

A. V. Shubnikov Institute of Crystallography RAS, Mocsow, Russia
Polish-Japanese Institute of Information Technology, Warsaw, Poland

Bibliografia

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10. Alshits, V.I., Lyubimov, V.N. and Shuvalov A.L. (1994) Elastic surface waves at the loaded boundary of a crystal, JETP 79, #3, 455-465.
11. Lothe. J. and Alshits, V.I. (1977) Existence criterion for quasi-bulk surface waves, Sov. Phys. Crystallogr. 22, #5. 519-525.
12. Alshits, V.I. and Lothe, J. (1978) Surface waves in hexagonal crystals, Sov. Phys. Crystallogr. 23, #5, 509-515.
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24. Alshits, V.I. and Lyubimov, V.N. (1989) Crystals with a superconducting coating: Surface and bulk acoustic waves, Sov. Phys. Solid State 31, #3, 99-101.
25. Alshits, V.I. and Lyubimov, V.N. (1989) Transformation of acoustic waves on the interface between a piezoelectric or piezomagnetic crystal and a superconductor, Sov. Phys. Solid State 31, #12, 63-64.
26. Alshits, V.I., Darinskii. A.N. and Lothe, J. (1992) On the existence of surface waves in half-infinite anisotropic elastic media with piezoelectric and piezomagnetic properties, Wave Motion 16, 265-283.
27. Alshits, V.I., Darinskii, A.N., Lothe, J. and Lyubimov, V.N. (1994) Surface acoustic waves in piezocrystals: an example of surface wave existence with clamped boundary, Wave Motion 19, 113-123.
28. Alshits, V.I. and Lyubimov, V.N. (1994) Surface acoustic waves caused by a magnetoelectric interaction in piezomagnetic crystals, JETP 79, #2, 364-368.
29. Naumenko, N.F., Bondarenko, V.S. and Perelomova, N.V. (1983) Features of volume and surface acoustic wave propagation in paratellurite crystals, Sov, Phys. Solid State 25, #9, 1512-1513.
30. Alshits, V.I., Lyubimov, V.N., Naumenko, N.F., Perelomova, N.V. and Shuvalov, A.L. (1985) Exceptional clastic body waves in crystals of various symmetris, Sov. Phys. Crystallogr. 30, #2, 123-126.
31. Alshits, V.I., Lyubimov and Shuvalov, A.L. (1987) Exceptional body waves in the neighborhoods of acoustic axes of various types, Sov. Phys. Crystallogr. 32, #4, 487-491.
32. Lyubimov, V.N. and Sannikov, D.G. (1973) Surface quasi-bulk and Rayleigh elastic waves in crystals, Sov. Phys. Solid State 15, #6, 830-831.
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34. Lothe, J. and Alshits, V.I. (1977) Existence criterion for quasi-bulk surface waves, Sov. Phys. Crystallogr. 22, #5, 519-525.
35. Darinskii, A.N. (1998) Quasi-bulk Rayleigh waves in semi-infinite media of arbitrary anisotropy. Wave Motion 27, #1, 79-93.
36. Lyubimov, V.N., Alshits, V.I. and Lothe, J. (1980) Body waves and quasi-body surface waves in a semi-infinite piezoelectric medium, Sov. Phys. Crystallogr. 25, #1, 16-21.
37. Alshits. V.I. and Lyubimov, V.N. (1985) Two types of exceptional body waves in piezoelecrics and the sectors of existence of Bleustein-Gulyaev waves, Sow Phys. Crystallogr. 30, #3, 252-256.
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44. Hayes, M.A. and Musgrave, M.J.P. (1979) On the energy flux and group velocity, Wave Motion 1, #1, 75-82.
45. Alshits, V.I., Kessenikh, G.G. and Lothe, J. (1982) Energy flux, group and phase velocities of acoustic waves in piezoelectrics, Ferroelectrics 42, 103-108.
46. Alshits. V.I. and Lothe, J. (1981) Comments on the relation between surface wave theory and the theory of reflection, Wave Motion 3, 297-310.
47. Alshits, V.I., Darinskii, A.N. and Shuvalov, A.L. (1989) Theory of reflection of acoustoelectric waves in a semiinfinite piezoelectric medium. I. Metallized surface, Sov. Phys. Crystallogr. 34, #6, 808-812.
48. Alshits, V.I., Darinskii, A.N. and Shuvalov, A.L. (1990) Theory of reflection of acoustoelectric waves in a semiinfinite piezoelectric medium. II. Non-metallized surface, Sov. Phys. Crystallogr. 35, #1, 1-6.
49. Alshits, V.I., Darinskii, A.N. and Shuvalov, A.L. (1991) Theory of reflection of acoustoelectric waves in a semiinfinite piezoelectric medium. III. Resonance reflection in the vicinity of the leaky wave branch, Sov. Phys. Crystallogr. 36, #2, 145-152.
50. Alshits, V.I., Darinskii, A.N. and Shuvalov. A.L. (1993) Acoustoelectric waves in bicrystal media in conditions of a rigid contact or a vacuum gap at an interface, Crystallogr. Reports 38, #2, 147-158.
51. Alshits. V.I., Darinskii. A.N. and Shuvalov, A.L. (1992) Elastic waves in infinite and semi-infinite anisotropic media, Physica Scripta T44, 85-93.
52. Brekhovskikh, L.M. (1980) Waves in Layered Media, 2nd ed. Academic Press, New York.
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55. Achenbach. J.D. and Gautesen, A.K. (1977) Elastic surface waves guided by the edge of a slit, J. Sound and Vibr. 53, #3, 407-416.
56. Alshits, V.I., Deschamps, M. and Maugin, G.A. (2003) Elastic waves in anisotropic plates: short-wavelength asymptotics of the dispersion branches vn(k), Wave Motion, 37, 273-292.
57. Alshits, V.I., Lothe, J. and Lyubimov, V.N. (1983) Surface and exceptional body elastic waves in a plate of a hexagonal crystal, Sov. Phys. Crystallogr. 28, #4, 374-378.
58. Filippov, V.V. (1984) On exceptional bulk waves in piezoelectric crystals, Doklady Akad. Nauk BSSR 28, #5, 412-414.
59. Lyubimov. V.N. and Alshits, V.I. (1982) Brewster reflections of elastic waves in hexagonal crystals, Sov. Phys. Crystallogr. 27, #5, 512-516.
60. Chadwick, P. (1990) The behavior of elastic surface waves polarized in a plane of material symmetry. I. General analysis, Proc. R. Soc. Lond. A 430, 231-240.
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63. Lothe, J. (1991) Body waves in anisotropic elastic media, in J.J. Wu, T.C.T. Ting and D.M. Barnett (eds.), Modern Theory of Anisotropic Elasticity and Applications, SIAM, Philadelphia, pp. 173-185.
64. Wang, L. and Lothe, J. (1992) Simple reflection in anisotropic elastic media and its relation to exceptional waves and supersonic surface waves, Wave Motion 16, 89-112.
65. Lothe, J. and Wang. L. (1995) Self-orthogonal sextic formalism for anisotropic elastic media: spaces of simple reflection and two component surface waves, Wave Motion 21, 163-181.
66. Darinskii, A.N., Alshits, V.I., Lothe, J., Lyubimov, V.N. and Shuvalov, A.L. (1998) A criterion for the existence of two-component surface waves in elastically anisotropic media, Wave Motion 28, 241-257.
67. Aleksandrov. V.V., Velichkina, T.S., Mozhaev, V.G., Potapova, Ju.B., Khmelev, A.K. and Yakovlev, I.A. (1992) New data concerning surface Mandelstamm-Brilouin light scattering from the basal plane of germanium crystal, Phys. Left. A 162, #5, 418-422.
68. Darinskii, A.N. (1997) On the theory of leaky waves in crystals, Wave Motion 25, # 1, 35-49.
69. Alshits, V.I. and Lyubimov, V.N. (1983) Leaky elastic waves in hexagonal crystals, Sov. Phys. Crystallogr. 28, #2, 130-135.
70. Alshits, V.I., Darinskii, A.N., Kotowski, R.K. and Shuvalov, A.L. (1988) Analog of Schoch effect in reflection of acoustic beams from free boundaries of a crystal, Sov. Phys. Crystallogr. 33, #3, 318-325.
71. Alshits, V.I., Darinskii, A.N., and Shuvalov, A.L. (1990) Resonant reflection of “three-dimensional” acoustic beam from the free boundary of a crystal, Sov. Phys. Crystallogr. 35, #4, 476-478.
72. Alshits, V.I., Darinskii, A.N., and Shuvalov. A.L. (1992) Resonant reflection and refraction of sound at a liquid-crystal interface, Sov. Phys. Solid State, 34, #8, 1337-1346.
73. Alshits, V.I., Darinskii, A.N., and Shuvalov, A.L. (1992) Effect of resonant reflection of acoustic waves on the 180-domain wall, Ferroelectrics, 126, 323-328.
74. Alshits, V.I., Darinskii, A.N., and Radowicz, A. (1995) Resonance reflection of elastic waves at the interface between two crystals with sliding contact. I. Plane waves in structures with arbitrary anisotropy; II. Plane waves and acoustic beams in structures with hexagonal symmetry, Cristallogr. Reports 40, #3, 364-389.
75. Alshits, V.I. and Lyubimov, V.N. (1995) Magnetoelectroelastic resonances in layered piezocrystalline structutes, Phys. Solid State 37, #6, 1014-1020.
76. Alshits, V.I., Lyubimov, V.N. and Radowicz, A. (1995) Resonant excitation of Rayleigh waves in a bicristalline piezoelectric structure, Cristallogr. Reports 40, #4, 538-542.
77. Darinskii, A.N. (1995) Resonance phenomena in the reflection of an elastic wave at the boundary between a hexagonal crystal and an anisotropic film, JETP 80, #2, 317-323.
78. Darinskii, A.N. and Maugin, G.A. (1995) The elastic wave resonance reflection from a thin solid layer in a crystal, Wave Motion 23, 363-385.
79. Alshits, V.I., Lyubimov, V.N. and Radowicz, A. (1996) Resonance excitation of Love waves in sandwich-type structures, Phys. Solid State 38, #4, 604-608.
80. Alshits, V.I., Gierulski, W., Lyubimov, V.N. and Radowicz, A. (1997) Resonance excitation of quasi-Rayleigh waves in plates on soft or hard substrates, Crystallogr. Reports 42, #1, 20-27.
81. Darinskii, A.N. (1998) Leaky waves and the elastic wave resonance reflection on a crystal-thin solid layer interface. II. Leaky waves given rise to by exceptional bulk waves, J. Acoust. Soc. Am. 103, 1845-1854.
82. Darinskii, A.N. and Maugin, G.A. (1998) Features of elastic wave reflection in the piezoelectric-thin solid layer-piezoelectric structure, Acta Acustica 84, 455-464.
83. Alshits. V.I., Gorkunova, A.S., Lyubimov, V.N. and Nowacki, J.P. (1999) Elastic waves in the anisotropic layer-substrate structure. I. General theory, Crystallography reports 44, #4, 592-602.
84. Alshits, V.I., Gorkunova, A.S., Lyubimov, V.N. and Kotowski. R.K. (1999) Elastic waves in the anisotropic layer-substrate structure. II. Case of transversal isotropy, Crystallography Reports 44, #5, 799-805.
85. Alshits, V.I., Gorkunova, A.S., Lyubimov, V.N., Gierulski. W., Radowicz, A. and Kotowski. R.K. (1999) Methods of resonant excitation of surface waves in crystals, in B.T. Maruszewski, W. Muschik and A. Radowicz (eds.). Trends in Continuum Physics (TRECOP ‘88), World Scientific, Singapore, pp. 28-34.
86. Alshits, V.I., Lyubimov, V.N. and Radowicz A. (2000) Quasi-Rayleigh waves in sandwich structures: dispersion equation, eigenmodes and resonance reflection, Crystallography Reports 45, #3, 457-465.
87. Nowacki, J.P., Alshits. V.I. and Lyubimov. V.N. (2000) Magnetoelastic waves in a bicrystalline gap structure under a bias magnetic field, Int. J. Appl. Electromagnetics and Mechanics 11, #4, 223-232.
88. Barnett, D.M., Lothe. J., Gavazza, S.D. and Musgrave, M.J.P. (1985) Considerations of the existence of interfacial (Stoneley) waves in bonded anisotropic half-spaces, Proc. R. Soc. Lond. A 402, 153-166.
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90. Abudi, M. and Barnett, D.M. (1990) On the existence of interfacial (Stoneley) waves in bonded piezoelectric half-spaces, Proc. R. Soc. Lond. A 429, 587-611.
91. Alshits, V.I., Barnett, D.M.. Darinskii, A.N. and Lothe, J. (1994) On the existence problem for localized acoustic waves on the interface between two piezocrystals, Wave Motion 20, 233-244.
92. Lekhnitskii. S.G. (1947) Anizotropnye Plastinki, Nauka, Moscow (Engl. transl. Anisotropic Plates, Gordon & Breach, New York).
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95. Lyubimov, V.N. (1980) Lamb surface elastic waves in an anisotropic piezoelectric plate, Sov. Phys. Crystallogr. 25, #4, 389-392.
96. Lyubimov, V.N. (1981) Elastic quasi-body surface waves in an anisotropic plate. Sov. Phys. Crystallogr. 26, #4, 377-381.
97. Markus, S.A. (1987) Low-frequency approximations for zero-order normal modes in anisotropic plates. Sov. Phys. Acoust. 33, 634-636.
98. Alshits. V.I. and Lyubimov, V.N. (1988) Anormalous dispersion of surface elastic waves in an anisotropic plate, Sov. Phys. Crystallogr. 33, #2, 163-166.
99. Alshits, V.I. and Lyubimov, V.N. (1988) Exceptional body solutions for elastic waves in a piezoelectric plate, Sov. Phys. Crystallogr. 33, #2, 166-168.
100. Shuvalov, A.L. (2000) On the theory of wave propagation in anisotropic plates, Proc. R. Soc. Lond. A 456, 2197-2222.
101. Shuvalov, A.L. (2002) Theory of plane subsonic elastic waves in fluid-loaded anisotropic plates, Proc. R. Soc. Lond. A 458, 1323-1352.
102. Darinskii, A.N. (2000) On the theory of the elastic wave propagation in a crystal coated with a solid layer. I. Two-component surface waves and simple reflection. II. Surface and leaky waves near a line of exceptional bulk waves, Proc. R. Soc. Lond. A 456, 1897-1929.
103. Shuvalov, A.L. and Every, A. (2002) Characteristic features of the velocity dispersion of surface acoustic waves in anisotropic coated solids, Ultrasonics 40, 939-942.
104. Shuvalov, A.L. and Every, A. (2002) Some properties of surface acoustic waves in anisotropic coated solids, studied by the impedance method. Wave Motion 36, 257-273.

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