Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2011-3pp.363-366

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L.A. Yegorova, "The stress-strain state and disintegration of a meteoroid moving through the atmosphere," J. Appl. Math. Mech. 75 (3), 363-366 (2011)
Year 2011 Volume 75 Issue 3 Pages 363-366
Title The stress-strain state and disintegration of a meteoroid moving through the atmosphere
Author(s) L.A. Yegorova (Moscow, Russia, egorova@imec.msu.ru)
Abstract The solution of the problem of the stress-strain state of an elastic body of spherical shape when it enters the Earth's atmosphere at a superorbital velocity is obtained in the form of a series in Legendre polynomials, in the case of a viscous gas at hypersonic velocity, in the quasi-stationary formulation. Using the Hubert-von Mises-Hencky criterion the limit stresses corresponding to the start of disintegration are obtained. This enables the nature of the disintegration of the body to be judged and also enables the heights at which destruction of known meteoroids begins to be estimated.
Received 26 November 2009
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