Stability and bifurcation of finite deformations of elastic cylindrical membranes - Part I. Stability analysis

International Journal of Solids and Structures

Volumn 34, Issue 14, 1997, Pages 1735-1749

  Chen, Yi Chao ^a  

^a UNIVERSITY OF HOUSTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; DEFORMATION; ELASTICITY; STABILITY CRITERIA;

ELASTIC CYLINDRICAL MEMBRANES; STABILITY ANALYSIS;

STRUCTURAL ANALYSIS;

EID: 0031139749     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00119-9     Document Type: Article

References (7)

1. Beatty, M. F. (1987). Topics in finite elasticity : hyperelasticity of rubber, elastomers, and biological tissues - with examples. Applied Mechanics Review 40, 1699-1734.
2. Corneliussen, A. H. and Shield, R. T. (1961). Finite deformation of elastic membranes with application to the stability of an inflated and extended tube. Archives Rational Mechanical Analysis 7, 273-304.
3. Kyriakides, S. and Chang Y. C. (1991). The initiation and propagation of a localized instability in an inflated elastic tube. International Journal of Solids and Structures 27, 1085-1111.
4. Ogden, R. W. (1984). Non-Linear Elastic Deformations, Ellis Horwood, Chichester.
5. Shield, R. T. (1971). On the stability of finitely deformed elastic membranes; Part I: Stability of a uniformly deformed plane membrane. Journal of Applied Mathematical Physics (ZAMP) 22, 1016-1028.
6. Shield, R. T. (1972). On the stability of finitely deformed elastic membranes; Part II: Stability of inflated cylindrical and spherical membranes. Journal of Applied Mathematical Physics (ZAMP) 23, 16-34.
7. Yin, W.-L. (1977). Non-uniform inflation of a cylindrical elastic membrane and direct determination of the strain energy function. Journal of Elasticity 7, 265-282.