 | | 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
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ÏÌÌ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.O. Kazakova and A.G. Terent’ev, "Numerical modelling of the plane problem of the stress state of a tube immersed in a liquid," J. Appl. Math. Mech. 78 (5), 518-523 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
5 |
Pages |
518-523 |
| Title |
Numerical modelling of the plane problem of the stress state of a tube immersed in a liquid |
| Author(s) |
A.O. Kazakova (Cheboksary, Russia, kazakova_anastasia@bk.ru)
A.G. Terent’ev (Cheboksary, Russia, agterent@rambler.ru) |
| Abstract |
A numerical method for solving the plane problem of determining the stress state of a tube of arbitrary section immersed in a homogeneous incompressible liquid is proposed. The change from the boundary conditions for this problem to the boundary conditions for a biharmonic stress function is carried out, which enables the algorithm for solving boundary value problems in the case of a polyharmonic function developed earlier to be used to solve the problem under consideration. It is shown that the boundary conditions for doubly-connected domains contain three unknown constants. The conditions for finding these constants in a form that is convenient for the implementation of a numerical algorithm are obtained. Tubes with sections in the form of concentric, eccentric and elliptic rings are considered as examples. |
| Received |
10 September 2013 |
| Link to Fulltext |
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