 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| N. V. Boev, "High-frequency scattering by an arbitrary nonconvex boundary surface of an elastic body in view of multiple reflections," Mech. Solids. 40 (5), 48-59 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
5 |
Pages |
48-59 |
| Title |
High-frequency scattering by an arbitrary nonconvex boundary surface of an elastic body in view of multiple reflections |
| Author(s) |
N. V. Boev (Rostov-on-Don) |
| Abstract |
The classical problem of scattering of a high-frequency wave from a point
source in an elastic medium by an arbitrary smooth nonconvex free boundary
surface of the elastic body is studied in view of possible multiple
reflections. The analysis is based on estimates of multiple diffraction
integrals by the multidimensional stationary phase method. We obtain
closed-form expressions for the leading term in the asymptotics of the
displacement amplitudes in reflected waves for various possible
combinations of reflection and transformation of longitudinal and
transverse waves by nonconvex parts of the boundary surface. |
| References |
| 1. | M. A. Sumbatyan and N. V. Boyev, "High-frequency diffraction by
nonconvex obstacles," J. Acoust. Soc. Amer., No. 5, pp. 2347-2353, 1994. |
| 2. | D. A. McNamara, C. W. I. Pistorius, and J. A. G. Malherbe,
Introduction to the Uniform Geometrical Theory of Diffraction, Artech
House, Norwood, 1990. |
| 3. | M. A. Sumbatyan and N. V. Boev, "Short-wave diffraction on bodies
bounded by an arbitrary smooth surface," Doklady AN, Vol. 392, No. 5,
pp. 614-617, 2003. |
| 4. | V. A. Borovikov and B. E. Kinber, Geometric Diffraction Theory,
Svyaz', Moscow, 1978. |
| 5. | J. D. Achenbach, A. K. Gautesen, and H. McMaken, Ray Methods for
Waves in Elastic Solids with Applications to Scattering by Cracks, Pitman,
Boston-London, 1982. |
| 6. | V. D. Kupradze, Potential Methods in Elasticity [in Russian],
Fizmatgiz, Moscow, 1963. |
| 7. | L. M. Brehovskikh, Waves in Stratified Media [in Russian], Nauka,
Moscow, 1973. |
| 8. | V. T. Grinchenko and V. V. Meleshko, Harmonic Vibrations and Waves
in Elastic Bodies [in Russian], Naukova Dumka, Kiev, 1981. |
| 9. | M. V. Fedoryuk, The Saddle-Point Method [in Russian], Nauka,
Moscow, 1977. |
| 10. | E. L. Shenderov, Wave problems in Hydroacoustics [in Russian],
Sudostroenie, Leningrad, 1972. |
| 11. | L. G. Loitsyanskii and A. I. Lur'e, A Course of Theoretical
Mechanics. Volume 1 [in Russian], Nauka, Moscow, 1982. |
|
| Received |
17 December 2003 |
| << Previous article | Volume 40, Issue 5 / 2005 | Next article >> |
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