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 Issues2009-2pp.204-208

Archive of Issues

Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
In English (J. Appl. Math. Mech.): 799

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Ye.A. Gerasimenko, A.V. Zavertan, and V.Ye. Ragozina, "The use of near-front ray expansions in deformation dynamics," J. Appl. Math. Mech. 73 (2), 204-208 (2009)
Year 2009 Volume 73 Issue 2 Pages 204-208
Title The use of near-front ray expansions in deformation dynamics
Author(s) Ye.A. Gerasimenko (Vladivostock, Russia, ekaterina_gerasi@mail.ru)
A.V. Zavertan (Vladivostock, Russia)
V.Ye. Ragozina (Vladivostock, Russia)
Abstract A method is proposed for the constructing approximate solutions of problems in impact deformation dynamics in the form of a ray expansion of the solution at the strain discontinuity surface. The fundamental difference in the proposed approximate method is the fact that, when constructing the ray expansions of the solutions, account is taken of the regularities in the change in the curvatures of the surfaces of strain discontinuities and the divergence of the rays. The main qualitative features of the method are illustrated using the example of a one-dimensional cylindrical shock wave.
Received 11 March 2008
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