Stability and bifurcation of finite deformations of elastic cylindrical membranes .1. Stability analysis

被引：21

作者：

Chen, YC

机构：

[1] Department of Mechanical Engineering, University of Houston, Houston

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 1997年 / 34卷 / 14期

关键词：

D O I：

10.1016/S0020-7683(96)00119-9

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The stability of an inflated and extended cylindrical elastic membrane is studied by using an energy stability criterion. Three types of loading devices are considered, that control the internal pressure, the mass of enclosed gas, and the volume of enclosed fluid, respectively. Four boundary conditions are considered for different end clamping conditions. The stability conditions are derived and compared for twelve combinations of these loading devices and boundary conditions. (C) 1997 Elsevier Science Ltd.

引用

页码：1735 / 1749

页数：15

共 7 条

[1] [Anonymous], APPL MECH REV
[2] FINITE DEFORMATION OF ELASTIC MEMBRANES WITH APPLICATION TO THE STABILITY OF AN INFLATED AND EXTENDED TUBE
CORNELIUSSEN, AH
SHIELD, RT
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1961, 7 (04) : 273 - 304
[3] THE INITIATION AND PROPAGATION OF A LOCALIZED INSTABILITY IN AN INFLATED ELASTIC TUBE
KYRIAKIDES, S
CHANG, YC
[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1991, 27 (09) : 1085 - 1111
[4] OGDEN RW, 1984, NONLINEAR ELASTIC DE
[5] STABILITY OF FINITELY DEFORMED ELASTIC MEMBRANES .2. STABILITY OF INFLATED CYLINDRICAL AND SPHERICAL MEMBRANES
SHIELD, RT
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1972, 23 (01): : 16 - &
[6] STABILITY OF FINITELY DEFORMED ELASTIC MEMBRANES .1. STABILITY OF A UNIFORMLY DEFORMED PLANE MEMBRANE
SHIELD, RT
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1971, 22 (06): : 1016 - &
[7] NONUNIFORM INFLATION OF A CYLINDRICAL ELASTIC MEMBRANE AND DIRECT DETERMINATION OF STRAIN-ENERGY FUNCTION
YIN, WL
[J]. JOURNAL OF ELASTICITY, 1977, 7 (03) : 265 - 282

← 1 →