 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| I. O. Osipov, "Reflection and refraction of plane waves on the interface between isotropic and anisotropic media," Mech. Solids. 39 (6), 53-77 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
6 |
Pages |
53-77 |
| Title |
Reflection and refraction of plane waves on the interface between isotropic and anisotropic media |
| Author(s) |
I. O. Osipov (Petrozavodsk) |
| Abstract |
The method of functionally invariant solutions is used to study the problem of reflection and refraction of plane waves on the interface between isotropic and anisotropic media. The solutions are investigated analytically for various relationships between elastic constants of the contacting media. The elastic constants of anisotropic media satisfy the necessary and sufficient conditions of positive definiteness of the elastic energy. |
| References |
| 1. | V. A. Sveklo,"Elastic vibrations of an anisotropic body," Uchen. Zapiski LGU. Ser. Mat. Nauk, Vol. 17, pp. 28-71, 1949. |
| 2. | V. A. Sveklo, "On solving the dynamical problems of plane elasticity theory for an anisotropic body", PMM [Applied Mathematics and Mechanics], Vol. 25, No. 5, pp. 885-896, 1961. |
| 3. | G. I. Petrashen', Wave Propagation in Anisotropic Elastic Media [in Russian], Nauka, Leningrad, 1980. |
| 4. | F. I. Fedorov, Theory of Elastic Waves in Crystals [in Russian], Nauka, Moscow, 1965. |
| 5. | V. B. Poruchikov, Methods of Dynamic Elasticity Theory [in Russian], Nauka, Moscow, 1986. |
| 6. | G. I. Petrashen' and B. M. Kashtan, "Elementary theory of volume
waves in anisotropic elastic media," in Propagation of Volume Waves and Methods of Calculating the Wave Fields in Anisotropic Elastic Media [in Russian],
pp. 15-107, Nauka, Leningrad, 1984. |
| 7. | I. O. Osipov, "On the reflection and refraction of plane longitudinal waves at the interface between a fluid and an anisotropic rigid half-space," Izv. AN SSSR. Fizika Zemli, No. 4, pp. 88-96, 1989. |
| 8. | I. O. Osipov, "Propagation of plane waves in an anisotropic medium contacting with a fluid," Izv. AN SSSR. MTT [Mechanics of Solids], No. 6, pp. 144-154, 1989. |
| 9. | I. O. Osipov, "Reflection and refraction of plane longitudinal waves at the interface between a fluid and an abnormal anisotropic medium," PMM [Applied Mathematics and Mechanics], Vol. 61, No. 2,
pp. 210-221, 1997. |
| 10. | I. O. Osipov, "On the propagation of plane waves in an anisotropic medium interacting with a fluid," Izv. AN. MTT [Mechanics of Solids], No. 3, pp. 85-99, 1997. |
| 11. | M. J. Musgrave, "Reflection and refraction of plane elastic waves at a plane boundary between anisotropic media," Geophys. J. Roy. Astron. Soc., Vol. 3, No. 4, pp. 406-418, 1960. |
| 12. | M. Keith Colum and S. Crampin, "Seismic body waves in anisotropic media: reflection and refraction at a plane interface,"
Geophys. J. Roy. Astron. Soc., Vol. 49, No. 1, pp. 181-208, 1977. |
| 13. | I. O. Osipov, "On the method of complex solutions of dynamic problems of plane elasticity theory of anisotropic media," Izv. AN. MTT [Mechanics of Solids], No. 4, pp. 102-112, 1999. |
| 14. | V. A. Sveklo, "The generalization of the method of functionally invariant solutions for dynamic problems of plane elasticity theory for anisotropic media," PMM [Applied Mathematics and Mechanics], Vol. 64,
No. 6, pp. 1004-1019, 2000. |
| 15. | I. O. Osipov, "On complex-valued solutions in terms of potentials for dynamic problems of plane elasticity theory for anisotropic media," Izv. AN. MTT [Mechanics of Solids], No. 3, pp. 78-89, 2002. |
| 16. | V. A. Sveklo, "On the plane problem of propagation of elastic vibrations from a point source in an anisotropic medium," PMM [Applied Mathematics and Mechanics], Vol. 33, No. 3, pp. 548-555, 1969. |
| 17. | I. O. Osipov, "Seismic energy transfer in anisotropic media," Izv. AN SSSR. Ser. Geofiz., No. 2, pp. 181-185, 1962. |
| 18. | I. O. Osipov, "Alteration of propagation velocities of elastic waves in anisotropic media," Izv. AN SSSR. Ser. Geofiz., No. 1, pp. 3-10, 1962. |
|
| Received |
21 January 2003 |
| << Previous article | Volume 39, Issue 6 / 2004 | Next article >> |
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