 | | 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 (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| N.N. Popov and V.P. Radchenko, "Analytical solution of the stochastic steady-state creep boundary value problem for a thick-walled tube," J. Appl. Math. Mech. 76 (6), 738-744 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
6 |
Pages |
738-744 |
| Title |
Analytical solution of the stochastic steady-state creep boundary value problem for a thick-walled tube |
| Author(s) |
N.N. Popov (Samara, Russia)
V.P. Radchenko (Samara, Russia, radch@samtgu.ru) |
| Abstract |
A non-linear steady-state creep stochastic boundary value problem is solved for a thick-walled tube acted upon by an internal pressure for the case of a plane strain state. It is assumed that the properties of the tube material are described by a random function of its radius. The constitutive creep relations are taken in accordance with non-linear viscous flow theory in a stochastic form. A recurrent form of the system of stochastic differential equations is obtained by expanding the radial stress in a series in powers of a small parameter, from which the components of the radial stress can be found to any degree of accuracy. The random stress field and strain rate field are analised statistically as a function of the non-linearity exponent and the degree of inhomogeneity of the material. A comparative analysis of the solutions of the stochastic steady-state creep boundary value problem for a thick-walled tube, obtained is the fourth approximation of the small parameter method and the Monte carlo method, is performed. |
| Received |
27 September 2010 |
| Link to Fulltext |
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