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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2004-6pp.47-52

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A. G. Gorshkov, D. V. Tarlakovskii, and A. M. Shukurov, "Propagation of unsteady shear waves from a spherical inclusion in an elastic half-space," Mech. Solids. 39 (6), 47-52 (2004)
Year 2004 Volume 39 Number 6 Pages 47-52
Title Propagation of unsteady shear waves from a spherical inclusion in an elastic half-space
Author(s) A. G. Gorshkov (Moscow)
D. V. Tarlakovskii (Moscow)
A. M. Shukurov (Moscow)
Abstract An unsteady axisymmetric problem of propagation of shear waves from a spherical inclusion (a cavity or a rigid sphere) in an elastic half-space is considered. The solution method developed in [1] for similar doubly connected domains is used. In the space of Laplace transforms with respect to time, an infinite governing system of linear algebraic equations, which makes it possible to determine exact expressions for the inverse transforms, is obtained. A similar steady problem was considered in [2].
References
1.  A. G. Gorshkov, D. V. Tarlakovskii, and A. M. Shukurov, "Diffraction of unsteady waves on a spherical cavity in an elastic half-space," Izv. AN SSSR. MTT [Mechanics of Solids], No. 5, pp. 43-47, 1992.
2.  A. N. Guz' and V. T. Golovchan, Diffraction of Elastic Waves in Multiply Connected Bodies [in Russian], Naukova Dumka, Kiev, 1972.
3.  M. Abramovitz and I. Stegun (Editors), Handbook on Special Functions with Formulas, Plots, and Mathematical Tables [Russian translation], Nauka, Moscow, 1979.
4.  E. A. Ivanov, Diffraction of Electromagnetic Waves on Two Bodies [in Russian], Nauka i Tekhnika, Minsk, 1968.
5.  A. G. Gorshkov and D. V. Tarlakovskii, Unsteady Aeroelasticity of Spherical Bodies [in Russian], Nauka, Moscow, 1990.
Received 15 February 2004
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