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
(print version)

Russian Russian English English About Journal | Issues | Editorial Board | Contact Us
 


IssuesArchive of Issues2014-5pp.518-523

Archive of Issues

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

<< Previous article | Volume 78, Issue 5 / 2014 | Next article >>
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
<< Previous article | Volume 78, Issue 5 / 2014 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 245, 119526 Moscow, Russia (+7 495) 434-2149 pmm@ipmnet.ru pmmedit@ipmnet.ru https://pmm.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Journal of Applied Mathematics and Mechanics
webmaster
Rambler's Top100