On the eversion of incompressible elastic spherical shells

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 50, Issue 2, 1999, Pages 312-326

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

^a UNIVERSITY OF GLASGOW   (United Kingdom)

^b UNIVERSITY OF HOUSTON   (United States)

Author keywords

Bifurcation; Elasticity; Eversion; Existence; Incompressible; Nonlinear; Spherical; Uniqueness

Indexed keywords

EID: 0033240189     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000330050153     Document Type: Article

References (13)

1. Haughton, D. M. and Orr, A. On the eversion of incompressible elastic cylinders, Int. J. Non-Linear Mech. 30 (1995), 81-95.
2. Haughton, D. M. and Orr, A. On the eversion of compressible elastic cylinders, Int. J. Solids Struct. 34 (1997), 1893-1914.
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. Existence of exact solutions for the eversion of elastic cylinders. J. Elasticity 49 (1998), 79-88.
5. Armanni, G. Salle deformazioni finite del solidi elastici isotropi, Il Nuovo Cimento 10 (1913), 424-427.
6. Ericksen, J. L. Inversion of a perfectly elastic spherical shell. A. Angew. Math. Mech. 35 (1955), 382-385.
7. Antman, S. S. The aversion of thick spherical shells. Arch. Rat. Mech. Analysis. 70 (1979), 113-123.
8. Szeri, A. J. On the everted state of spherical and cylindrical shells. Q. Appl. Math. 48 (1990), 49-58.
9. Liu, I-Shih, Stability of thick spherical shells. Continuum Mech. Thermodyn. 7 (1995), 249-258.
10. Truesdell, C. and Noll, W. Handbuch der Physik. III/3 The non-linear field theories of mechanics. Ed. S. Flugge. Springer-Verlag Berlin (1965).
11. Haughton, D. M. and Ogden, R. W. On the incremental equations in non-linear elasticity-II Bifurcation of pressurized spherical shells, J. Mech. Phys. Solids 26 (1978) 111-138.
12. Ogden, R. W. Large deformation isotropic elasticity: On the correlation of theory and experiment for incompressible rubberlike solids. Proc. Roy. Soc. Lond. A326 (1972), 565-584.
13. Ogden, R. W. Non-Linear Elastic Deformations. Ellis Horwood, Chichester 1984.