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Mathematics and Mechanics

Russian Academy of Sciences
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in January 1936
(Translated from 1958)
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IssuesArchive of Issues2012-4pp.489-492

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A.B. Kiselev, "Analytical solutions of problems of the adiabatic compression of thick-walled spherical and cylindrical shells made of incompressible viscoplastic material," J. Appl. Math. Mech. 76 (4), 489-492 (2012)
Year 2012 Volume 76 Issue 4 Pages 489-492
Title Analytical solutions of problems of the adiabatic compression of thick-walled spherical and cylindrical shells made of incompressible viscoplastic material
Author(s) A.B. Kiselev (Moscow, Russia, akis2006@yandex.ru)
Abstract Exact solutions of the one-dimensional non-stationary problems of the adiabatic compression of thin-walled spherical and cylindrical shells made of incompressible viscoplastic material are obtained, assuming that, at the initial instant of time, the radial velocity distributions satisfy the conditions of incompressibility of the shell material. From these solutions it is also easy to obtain the solutions for cases of expansion of the shells.
Received 11 October 2011
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