Solution of the stochastic boundary-value problem of steady-state creep for a thick-walled tube using the small-parameter method

被引：7

作者：

Dolzhkovoi A.A. ^{[1
]}

Popov N.N. ^{[1
]}

Radchenko V.P. ^{[1
]}

机构：

[1] Samara State Technical University

来源：

Journal of Applied Mechanics and Technical Physics | 2006年 / 47卷 / 1期

关键词：

Boundary-value problem; Small-parameter method; Statistical nonlinearity; Steady-state creep; Stochastic heterogeneity; Thick-walled tube;

D O I：

10.1007/s10808-006-0017-0

中图分类号：

学科分类号：

摘要：

The physically and statistically nonlinear problem of steady-state creep for a thick-walled tube loaded by internal pressure is solved in the third approximation using the small-parameter method. The variances of random creep strain rates and displacements are calculated. The results obtained are compared with the solution of the same problem in the first and second approximations. A reliability assessment method for the tube using the strain failure criteria is proposed. © Springer Science+Business Media, Inc. 2006.

引用

页码：134 / 142

页数：8

共 49 条

[1] Analytical solution of the stochastic steady-state creep boundary value problem for a thick-walled tube
Popov, N. N.
Radchenko, V. P.
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2012, 76 (06): : 738 - 744
[2] A comparative analysis of solutions for stochastic boundary-value problem of the steady-state creep for thick-walled pipes on the basis of the small-parameter method and Monte Carlo simulation
Isutkina, N.
Margaritov, A. Yu.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2006, (43): : 116 - 123
[3] Construction of analytical solution of two-dimensional stochastic steady-state creep problem for thick-walled tube
Popov, N. N.
Isutkina, V. N.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2007, (02): : 90 - 94
[4] Analytical Solution to the Boundary Value Problem of Steady Creep of a Nonaxisymmetric Thick-Walled Tube under the Action of Internal Pressure
Moskalik, A. D.
Radchenko, V. P.
MECHANICS OF SOLIDS, 2019, 54 (05) : 807 - 818
[5] Analytical Solution to the Boundary Value Problem of Steady Creep of a Nonaxisymmetric Thick-Walled Tube under the Action of Internal Pressure
A. D. Moskalik
V. P. Radchenko
Mechanics of Solids, 2019, 54 : 807 - 818
[6] ON A CLASSICAL BOUNDARY-VALUE PROBLEM INVOLVING A SMALL-PARAMETER
KIRSCHVINK, SJ
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1993, 23 (02) : 619 - 634
[7] SMALL-PARAMETER ASYMPTOTICS OF SOLUTION TO AN ELLIPTIC BOUNDARY-VALUE PROBLEM IN DOMAIN OF CONIC POINT
NAZAROV, SA
DOKLADY AKADEMII NAUK SSSR, 1978, 238 (04): : 827 - 830
[8] SMALL-PARAMETER ASYMPTOTICS OF BOUNDARY-VALUE PROBLEM SOLUTION FOR ELLIPTIC EQUATION IN THIN REGIONS
DZHAVADOV, MG
MAKHMUDOV, MD
DOKLADY AKADEMII NAUK SSSR, 1976, 227 (04): : 788 - 791
[9] A small-parameter problem from the theory of boundary-value problems with a small nonlinearity
Nikol'skii M.S.
Computational Mathematics and Modeling, 2001, 12 (4) : 369 - 375
[10] ASYMPTOTICS OF SMALL-PARAMETER SOLUTION TO A BOUNDARY-VALUE PROBLEM FOR AN ELLIPTIC EQUATION DEGENERATING INTO PARABOLIC ONE
DZHAVADOV, MG
ZIYUBOV, RA
DOKLADY AKADEMII NAUK SSSR, 1974, 215 (06): : 1297 - 1300

← 1 2 3 4 5 →