Literature Cited
V. M. Babich and V. S. Buldyrev, Asymptotic Methods in Shortwave Diffraction [in Russian], Nauka, Moscow (1972).
V. A. Borovikov and B. E. Kinber, The Geometric Theory of Diffraction [in Russian], Svyaz', Moscow (1978).
A. N. Guz', V. D. Kubenko, and M. A. Cherevko, Diffraction of Elastic Waves [in Russian], Naukova Dumka, Kiev (1978).
T. C. T. Ting and Shun-Chin Chou, Propagation of stress gradient through an inclusion, Parts 1 and 2, Trans. ASME Ser. E, J. Appl. Mech.,40, No. 3, 711–717 and 718–724 (1973).
Yu. A. Kravtsov and Yu. I. Orlov, Geometric Optics of Inhomogeneous Media [in Russian], Nauka, Moscow (1980).
Yu. N. Podil'chuk and Yu. K. Rubtsov, “The propagation of nonstationary elastic waves from spherical cavities under an axisymmetric perturbation,” Prikl. Mekh.,17, No. 7, 3–9 (1981).
Yu. N. Podil'chuk and Yu. K. Rubtsov, “The investigation of the stresses arising at the nonstationary perturbation of the surface of an axial-symmetric cavity,” Prikl. Mekh.,20, No. 7, 11–19 (1984).
S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, McGraw-Hill, New York (1970).
A. F. Ulitko, The Method of Eigenvector Functions in the Three-Dimensional Problems of the Theory of Elasticity [in Russian], Naukova Dumka, Kiev (1979).
F. G. Fridlender, Sound Pulses, Cambridge Univ. Press, London (1958).
Additional information
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 22, No. 3, pp. 3–9, March, 1986.
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Podil'chuk, Y.N., Rubtsov, Y.K. Application of the method of ray series to the investigation of axisymmetric nonstationary problems of the dynamical theory of elasticity. Soviet Applied Mechanics 22, 201–207 (1986). https://doi.org/10.1007/BF00887237
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DOI: https://doi.org/10.1007/BF00887237