 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| A.D. Moskalik and V.P. Radchenko, "Analytical Solution to the Boundary Value Problem of Steady Creep of a Nonaxisymmetric Thick-Walled Tube under the Action of Internal Pressure," Mech. Solids. 54 (5), 807-818 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
5 |
Pages |
807-818 |
| DOI |
10.3103/S002565441905011X |
| Title |
Analytical Solution to the Boundary Value Problem of Steady Creep of a Nonaxisymmetric Thick-Walled Tube under the Action of Internal Pressure |
| Author(s) |
A.D. Moskalik (Samara State Technical University, Samara, 443001 Russia, annmoskalik1@gmail.com)
V.P. Radchenko (Samara State Technical University, Samara, 443001 Russia, radchenko.vp@samgtu.ru) |
| Abstract |
The boundary value problem of the steady-state creep of a nonaxisymmetric thick-walled
tube under the action of internal pressure is considered under the assumption that the material is
incompressible for creep deformations. An approximate analytical solution of the problem by the small
parameter method up to the third order of approximation, inclusively, for a plane deformed state is
presented. The small parameter in the problem is the displacement of the centers of the inner and outer
radii of the tube. The error in solving the problem is estimated by comparing the approximate analytical solution with a numerical solution obtained by the finite element method for some special cases.
The analytical and numerical solutions for stresses are analyzed by dependence on the small parameter
and the stress exponent of the steady-state creep. The error of the approximate analytical solution for
the stress tensor components in the minimum cross section is analyzed in accordance with the industrial standards for the permissible deviation of the wall thickness in the industrial production of tubes. |
| Keywords |
nonaxisymmetric tube, steady-state creep, small parameter method, third order of approx-imation, error of analytical solution |
| Received |
18 April 2018 | Revised |
18 April 2018 | Accepted |
27 April 2018 |
| Link to Fulltext |
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