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

[21] Solution of the first boundary value problem of nonlinear theory of steady-state creep for a half-space in antiplane deformation
Mkhitaryan, S. M.
MECHANICS OF SOLIDS, 2012, 47 (06) : 646 - 653
[22] NUMERICAL-SOLUTION OF THE 3RD BOUNDARY-VALUE PROBLEM FOR AN EQUATION WITH A SMALL PARAMETER
ZADORIN, AI
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1984, 24 (04): : 28 - 33
[23] APPROXIMATE SOLUTION OF A NONLINEAR BOUNDARY-VALUE PROBLEM WITH A SMALL PARAMETER FOR THE HIGHEST-ORDER DIFFERENTIAL
BOGLAEV, IP
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1984, 24 (06): : 30 - 35
[24] APPROXIMATE SOLUTION OF THE BOUNDARY-VALUE PROBLEM FOR QUASILINEAR INTEGRO-DIFFERENTIAL EQUATION WITH A SMALL PARAMETER
PRITULA, NN
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1981, (07): : 11 - 15
[25] THE ASYMPTOTIC-EXPANSION OF THE SOLUTION OF A BOUNDARY-VALUE PROBLEM FOR BIHARMONIC-EQUATIONS WITH A SMALL PARAMETER
SOBOLEVA, YS
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1985, (01): : 3 - 6
[26] APPROXIMATE ANALYTICAL SOLUTION OF THE PROBLEM FOR THE TUBE WITH ELLIPTIC OUTER CONTOUR UNDER STEADY-STATE CREEP CONDITION
Moskalik, A. D.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2014, (04): : 65 - 84
[27] Solvability of the Boundary-Value Problem for a Mathematical Model of Steady-State Flows of Nonlinear-Viscous Fluids
V. T. Dmitrienko
V. G. Zvyagin
Mathematical Notes, 2001, 69 : 770 - 779
[28] Solvability of the boundary-value problem for a mathematical model of steady-state flows of nonlinear-viscous fluids
Dmitrienko, VT
Zvyagin, VG
MATHEMATICAL NOTES, 2001, 69 (5-6) : 770 - 779
[29] Numerical Solution of Steady-State Free Boundary Problems using the Singular Boundary Method
Chen, Fen
Zheng, Bin
Lin, Ji
Chen, Wen
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2021, 13 (01) : 163 - 175
[30] FORMULATION AND SOLUTION OF AN INITIAL BOUNDARY-VALUE PROBLEM OF STEADY-STATE SLOWING-DOWN OF NEUTRONS BASED ON A P2 APPROXIMATION
KOZACHOK, IA
GEOPHYSICAL JOURNAL, 1981, 3 (04): : 499 - 518

← 1 2 3 4 5 →