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 Issues2008-3pp.331-337

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Total articles in the database: 10512
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V.P. Matveyenko, T.O. Nakaryakova, N.V. Sevodina, and I.N. Shardakov, "Stress singularity at the vertex of homogeneous and composite cones for different boundary conditions," J. Appl. Math. Mech. 72 (3), 331-337 (2008)
Year 2008 Volume 72 Issue 3 Pages 331-337
Title Stress singularity at the vertex of homogeneous and composite cones for different boundary conditions
Author(s) V.P. Matveyenko (Perm’, Russia, mvp@icmm.ru)
T.O. Nakaryakova (Perm’, Russia)
N.V. Sevodina (Perm’, Russia)
I.N. Shardakov (Perm’, Russia)
Abstract A method of constructing singular solutions for conical bodies is proposed and versions of its numerical realization based on the finite-elements methods are considered. The results of numerical experiments illustrating the effectiveness and reliability of the proposed method are presented, as well as the results of a calculation of the eigenvalues, which define the form of the stress singularity for homogeneous and composite circular and non-circular cones for different boundary conditions.
Received 20 August 2007
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