Asymptotic bifurcation results for the eversion of elastic shells

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 54, Issue 2, 2003, Pages 191-211

  Haughton, D M ^a   Chen, Yi Chao ^b  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

^b UNIVERSITY OF HOUSTON   (United States)

Author keywords

Asymptotic; Bifurcation; Elastic; Eversion; Shells; WKB

Indexed keywords

EID: 0037366238     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000330300000     Document Type: Article

References (11)

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3. Haughton, D. M. Further results for the eversion of highly compressible elastic cylinders, Math. Mech. Solids 1 (1996), 355-367.
4. Chen, Yi-chao, and Haughton, D. M. On the existence of exact solutions for the eversion of elastic cylinders J. Elasticity 49 (1997), 79-88.
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6. Pour, M. S. Application of the WKB method to some of the buckling problems in finite elasticity Ph. D. Thesis Keele, (2001).
7. Fu, Y. and Pour, M. S., WKB method with repeated roots and its application to the buckling analysis of an everted cylindrical tube, SIAM Journal of Applied Mathematics 62 (2002), 1856-1876.
8. Ogden, R. W., Non-Linear Elastic Deformations. Dover Publications. New York 1997.
9. Haughton, D. M. Inflation and bifurcation of thick-walled compressible elastic spherical shells, IMA Journal of Applied Mathematics 39 (1987), 259-272.
10. Carroll, M. M. Finite strain solutions in compressible isotropic elasticity. J. Elasticity 20 (1988), 65-92.
11. Haughton, D. M., Kirkinis, E., and Ogden, R. W. The use of Null strain energy functions in finite elasticity, forthcoming (2003).