ON THE EVERSION OF INCOMPRESSIBLE ELASTIC CYLINDERS

被引：33

作者：

HAUGHTON, DM

ORR, A

机构：

[1] Department of Mathematics, University of Glasgow, University Gardens, Glasgow

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1995年 / 30卷 / 02期

关键词：

D O I：

10.1016/0020-7462(94)00036-A

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The eversion of incompressible isotropic elastic cylinders is considered. The main problem is formulated as a bifurcation problem with the undeformed thickness ratio as a parameter. Numerical results are presented for several different material models and, in all cases, we find that there is a critical thickness for the tube. Thinner tubes can be everted to a cylindrical shape, thicker tubes will undergo a bifurcation upon eversion and so the cylindrical shape will not be attained. We find that the length to radius ratio of the tube only plays a significant role for one particular bifurcation mode.

引用

页码：81 / 95

页数：15

共 14 条

[1]

Rivlin, Large elastic deformations of isotropic materials VI Further results in the theory of torsion shear and flexure, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 242 A, pp. 173-195, (1949)

[2]

Varga, Stress-Strain Behaviour of Elastic Materials, (1966)

[3]

Chadwick, Haddon, Inflation-extension and eversion of a tube of incompressible isotropic elastic material, J. Inst. Math. Applic., 10, pp. 258-278, (1972)

[4]

Ogden, Large deformation isotropic elasticity on the correlation of theory and experiment for incompressible rubberlike solids, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 326 A, pp. 565-584, (1972)

[5]

Chadwick, The existence and uniqueness of solutions of two problems in the Mooney-Rivlin theory for rubber, J. Elasticity, 2, pp. 123-128, (1972)

[6]

Adeleke, On the problem of eversion for incompressible elastic materials, J. Elasticity, 13, pp. 63-69, (1983)

[7]

Truesdell, Noll, The Non-Linear Field Theories of Mechanics, Handbuch der physik III/3, (1965)

[8]

Truesdell, Some challenges offered to analysis by rational thermodynamics, Contemporary Developments in Continuum Mechanics and Partial Differential Equations, pp. 496-540, (1978)

[9]

Haughton, Ogden, Bifurcation of inflated circular cylinders of elastic material under axial loading—1. Membrane theory for thin-walled tubes, J. Mech. Phys. Solids, 27, pp. 179-212, (1979)

[10]

Haughton, Ogden, Bifurcation of inflated circular cylinders of elastic material under axial loading—II. Exact theory for thick-walled tubes, J. Mech. Phys. Solids, 27, pp. 489-512, (1979)

← 1 2 →