Solution of contact problems on the basis of a refined theory of plates and shells

被引：4

作者：

Volchkov, Yu. M. ^{[1
,2
]}

Vajeva, D. V. ^{[2
]}

机构：

[1] Russian Acad Sci, Siberian Div, MA Lavrentev Hydrodynam Inst, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2008年 / 49卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

layered shells; Legendre polynomials; contact problems; stress-strain state;

D O I：

10.1007/s10808-008-0104-5

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Solutions of contact mixed boundary-value problems for a plate and for a cylindrical shell are given. These solutions are obtained with the use of equations for shells constructed by expanding solutions of elasticity theory equations with respect to the Legendre polynomials. Results of numerical simulations of the stress state in the vicinity of points with changing conditions on the frontal faces of the shell are presented. The results obtained are compared with analytical solutions of elasticity theory problems and with solutions obtained on the basis of the classical equations of the shell theory.

引用

页码：846 / 852

页数：7

共 8 条

[1]

Dundurs J., 1970, Journal of Applied Mechanics, V37, P965

[2]

Ivanov G. V., 1980, THEORY PLATES SHELLS

[3] 2 MIXED PROBLEMS FOR A SEMI-INFINITE LAYER [J].

KEER, LM ;

SILVA, MAG .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1972, 39 (04) :1121-1124

[4]

PELEKH BL, 1982, LAYERED ANISOTROPIC

[5] HIGHER-ORDER THEORIES FOR STRUCTURAL ANALYSIS USING LEGENDRE POLYNOMIAL EXPANSIONS [J].

SOLER, AI .

JOURNAL OF APPLIED MECHANICS, 1969, 36 (04) :757-&

[6]

Timoshenko S. P., 1959, THEORY PLATES SHELLS

[7] The equations for determination of stress-deformed state of multilayered shells [J].

Vajeva, DV ;

Volchkov, YM .

Korus 2005, Proceedings, 2005, :547-550

[8]

VOLCHKOV YM, 1977, COLLECTED SCI PAPERS, V28, P43

← 1 →