Literature Cited
H. Bateman and A. Erdelyi, Higher Transcendental Functions, McGraw-Hill, New York (1957).
O. G. Goman, “On a self-similar problem of the impression of a two-dimensional stamp into an elastic halfspace”, Prikl. Mekh.,19, No. 10, 55–60 (1983).
A. G. Gorshkov and D. V. Tarlakovskii, “Vertical impact of a cylinder onto an elastic halfspace”, in: Problems of the Dynamics of the Interaction of Deformable Media [in Russian], ArmSSR, Erevan (1984), pp. 125–131.
B. I. Didukh, V. L. Lobysev, and V. M. Lyatkher, et al., Dynamics of Continuous Media in Calculations of Hydrotechnical Structures [in Russian], Énergiya, Moscow (1976).
B. V. Kostrov, “Self-similar dynamic problems on the impression of a rigid stamp into an elastic halfspace”, Izv. Akad. Nauk SSSR, Mekh. Mashinostr., No. 4, 54–62 (1964).
V. D. Kubenko, “On a method for solving problems involving the penetration of bodies into acoustic and elastic media”, in: Problems of the Dynamics of Interaction of Deformable Bodies [in Russian], ArmSSR, Erevan (1984), pp. 183–187.
C. Lanczos, Applied Analysis, Prentice-Hall, Englewood Cliffs, N. J. (1956).
V. L. Lobysev and Yu. S. Yakovlev, “Stress fields in the motion of a piston with a rigid flange on its boundary with an ideal elastic medium”, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 4, 65–69 (1969).
P. M. Morse and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, New York (1953).
V. B. Poruchikov, Methods of the Dynamical Theory of Elasticity [in Russian], Nauka, Moscow (1986).
A. Ya. Sagomonyan, Penetration [in Russian], Moscow University, Moscow (1974).
V. M. Seimov, “Vertical unsteady oscillations of a rigid stamp on an elastic half-space”, in: Proceedings of Coordinated Conferences on Hydrotechnology. Dynamics of Hydrostructures [in Russian],64, No. 2, 53–60 (1972).
L. M. Flitman, “Dynamic problem of a stamp on an elastic halfspace”, Prikl. Mat. Mekh.,23, No. 4, 697–705 (1959).
A. J. M. Hitchcock, “Polynomial approximations to Bessel functions of order zero and one and to related functions”, in: Math. Tables Aids Comp.,11, 86–88 (1957).
A. R. Robinson and J. C. Thompson, “Transient stresses in an elastic halfspace resulting from the frictionless indentation of a rigid wedge-shaped die”, Z. Angew. Math. Mech.,54, No. 3, 139–144 (1974).
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Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 24, No. 7, pp. 69–77, July, 1988.
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Kubenko, V.D., Popov, S.N. Two-dimensional problem of the impact of a rigid blunt body onto the surface of an elastic halfspace. Soviet Applied Mechanics 24, 693–700 (1988). https://doi.org/10.1007/BF00884598
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DOI: https://doi.org/10.1007/BF00884598