References
V. G. Bazhenov, A. V. Kochetkov, G. S. Mikhailov, and A. G. Ugodchikov, “Interaction of thin elastoplastic elements with shock waves in ideal compressible media,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 2, 141–149 (1979).
Sh. U. Galiev, Dynamics of Hydroelastoplastic Systems [in Russian], Naukova Dumka, Kiev (1981).
Sh. U. Galiev, V. A. Romashchenko, and I. L. Petukhov, “Solution of three-dimensionless, time-dependent hydroelastic problems with rupture of the liquid,” Probl. Prochnosti, No. 5, 79–83 (1991).
A. N. Guz' and V. D. Kubenko, Theory of Unsteady Aerohydroelasticity of Shells, Naukova Dumka, Kiev (1982).
M. V. Zhirnov, A. V. Ivanov, and V. M. Kosenkov, “Finite-difference algorithm for the dynamics of three-dimensionless elastic bodies,” Preprint, Acad. of Sciences of the Ukrainian SSR, Electrohydraulics, Planning and Design Office, No. 11, Nikolaev (1990).
K. A. Naugol'nikh and N. A. Roy, Electrical Discharges in Water [in Russian], Nauka, Moscow (1971).
V. D. Kubenko, G. A. Barbashova, M. V. Zhirnov, and A. V. Ivanov, “Calculation of the dynamical deformation of thin shells induced by an impulsive internal electrohydrodynamic load,” Prikl. Mekh.,26, No. 12, 53–59 (1990.
B. L. Rozhdestvenskii and N. N. Yanenko, Systems of Quasi-Linear Equations and Their Application in Gas Dynamics [in Russian], Nauka, Moscow (1968).
A. A. Samarskii and Yu. P. Popov, Difference Methods in Gas Dynamics [in Russian], Nauka, Moscow (1975).
V. A. Fel'dshtein, “Dynamical interaction of an elastoplastic cylindrical shell with a wave from a strong discharge,” Trans. X All-Union Conf. on the Theory of Plates and Shells, Vol. 2, Metsniereba, Tbilisi (1975), pp. 372–380.
Additional information
Institute of Impulsive Processes and Technology, National Academy of Sciences of the Ukraine, Nikolaev. Translated from Prikladnaya Mekhanika, Vol. 30, No. 6, pp. 16–24, June, 1994.
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Zhirnov, M.V., Kamenskaya, L.A. & Kosenkov, V.M. Solution of three-dimensional time-dependent hydroelastic problems using the finite-difference method. Int Appl Mech 30, 413–419 (1994). https://doi.org/10.1007/BF00847344
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DOI: https://doi.org/10.1007/BF00847344