On the eversion of compressible elastic cylinders

International Journal of Solids and Structures

Volumn 34, Issue 15, 1997, Pages 1893-1914

  Haughton, D M ^a   Orr, A ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPRESSIBILITY; MATHEMATICAL MODELS; PROBLEM SOLVING; STRAIN;

COMPRESSIBLE ELASTIC CYLINDERS; EVERSION PROBLEM;

CYLINDERS (SHAPES);

EID: 0031145197     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00122-9     Document Type: Article

References (18)

1. Adeleke, S. A. (1983) On the problem of eversion for incompressible elastic materials. Journal of Elasticity 13, 63-69.
2. Blatz, P. J. and Ko, W. L. (1962) Applications of finite elasticity theory to deformation of rubbery materials. Transactions of the Society for Rheology 6, 223-251.
3. Carroll, M. M. (1988) Finite strain solutions in compressible elasticity. Journal of Elasticity 20, 65-92.
4. Carroll, M. M. and Morgan, C. O. (1990) Finite strain solutions for a compressible elastic solid. Quarterly Applied Mathematics 48, 767-780.
5. Chadwick, P. (1972) The existence and uniqueness of solutions of two problems in the Mooney-Rivlin theory for rubber. Journal of Elasticity 2, 123-128.
6. Chadwick, P. and Haddon, E. W. (1972) Inflation-extension and eversion of a tube of incompressible isotropic elastic material. Journal of the Institute of Mathematics Applications 10, 258-278.
7. Chung, D. T., Horgan, C. O. and Abeyaratne, R. (1986) The finite deformations of internally pressurized hollow cylinders and spheres for a class of compressible elastic materials. International Journal of Solids and Structures 22, 1557-1570.
8. Green, A. E. and Mkrtichian, J. Z. (1977a) Elastic solids with different moduli in tension and compression. Journal of Elasticity 7, 369-386.
9. Green, A. E. and Mkrtichian, J. Z. (1977b) Torsion and extension of a tube with different moduli in tension and compression. Journal of the Institute Mathematics Applications 20, 221-226.
10. Haughton, D. M. (1987) Inflation of thick-walled compressible elastic spherical shells. IMA Journal of Applied Mathematics 39, 259-272.
11. Haughton, D. M. and Ogden, R. W. (1979a) Bifurcation of inflated circular cylinders of elastic material under axial loading - I. Membrane theory for thin-walled tubes. Journal of Mechanics and Physics of Solids 27, 179-212.
12. Haughton, D. M. and Ogden, R. W. (1979b) Bifurcation of inflated circular cylinders of elastic material under axial loading - II. Exact theory for thick-walled tubes. Journal of Mechanics and Physics of Solids 27, 489-512.
13. Haughton, D. M. and Orr, A. (1995) On the eversion of incompressible elastic cylinders. International Journal of Non-Linear Mechanics 30, 81-95.
14. Hill, J. M. (1993) Cylindrical and spherical inflation in compressible finite elasticity. IMA Journal of Applied Mathematics 50, 195-201.
15. Lindsay, K. A. and Rooney, C. E. (1992) A note on Compound matrices. Journal of Computational Physics 133, 472-477.
16. Ogden, R. W. (1972) Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids. Proceedings of the Royal Society, London A328, 567-583.
17. Rivlin, R. S. (1949) Large elastic deformations of isotropic materials. VI Further results in the theory of torsion, shear and flexure. Philosophical Transactions of the Royal Society, London A242, 173-195.
18. Truesdell, C. (1978) Some challenges offered to analysis by rational thermodynamics. In Contemporary Developments in Continuum Mechanics and Partial Differential Equations, eds De La Penha, G. M. and Medeiros, L. A., pp. 496-540. North-Holland, Amsterdam.