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IssuesArchive of Issues2012-2pp.212-220

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K.Yu. Osipenko, "Stability of Spatial Motion of a Body of Revolution in an Elastoplastic Medium," Mech. Solids. 47 (2), 212-220 (2012)
Year 2012 Volume 47 Number 2 Pages 212-220
DOI 10.3103/S0025654412020082
Title Stability of Spatial Motion of a Body of Revolution in an Elastoplastic Medium
Author(s) K.Yu. Osipenko (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, kirill-o@mail.ru)
Abstract A previously constructed model that describes the spatial motion of a body of revolution in an elastoplastic medium (without flow separation and with nonsymmetric separation of the medium flow taken into account) is used to study the Lyapunov stability of rectilinear motion of a body in the case of frozen axial velocity on a half-infinite time interval. Some stability criteria are obtained and the influence of tangential stresses is analyzed.
Keywords penetration, elastoplastic medium, trajectory of motion, flow separation, stability
References
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8.  K. Yu. Osipenko and I. V. Simonov, "A Model of 3D Dynamics of a Body of Revolution Interacting with Low-Strength Media and Nonsymmetric Cavitation," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 143-153 (2002) [Mech. Solids (Engl. Transl.) 37 (1), 119-128 (2002)].
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11.  Yu. K. Bivin, V. V. Viktorov, and B. Ya. Kovalenko, "Determining the Soil Dynamical Characteristics by the Penetration Method," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 3, 105-110 (1980) [Mech. Solids (Engl. Transl.)].
12.  L. G. Loitsyanskii and A. I. Lurie, A Course of Theoretical Mechanics, Vol. 2 (Nauka, Moscow, 1983) [in Russian].
Received 19 February 2009
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