Inflating a rubber balloon

Mathematics and Mechanics of Solids

Volumn 7, Issue 5, 2002, Pages 569-577

  Müller, Ingo ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Mooney rivlin material; Non convexity, stability; Rubber balloons

Indexed keywords

EID: 33645348330     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128650200700506     Document Type: Article

References (8)

1. Atkins, J. E. and Rivlin, R. S.: Large Elastic Deformations of Isotropic Materials IX. The Deformation of Thin Shells, Davy Faraday Laboratory of the Royal Institution, 1951.
2. Dreyer, W., Müller, I. and Strehlow, P.: A Study of Equilibria of Interconnected Balloons. Q. J. Mech. Appl. Mech., 35, 419-440 (1982).
3. Muller, I.: Thermodynamics. Pitman, Boston, MA, 1985.
4. Alexander, H.: Tensile instability of initially spherical balloons. Int. J. Eng. Sci., 9, 151-162 (1971).
5. Needleman, A.: Necking of spherical membranes. J. Mech. Phys. Solids, 24, 339-352 (1977).
6. Haughton, D. M. and Ogden, R. W.: On the incremental equations in non-linear elasticity II. Bifurcation of pressurized balloons. J. Mech. Phys. Solids, 26, 111-138 (1978).
7. Beatty, M. F.: Topics in finite elasticity: hyperelasticity of rubber, elastomers and biological tissues-with examples. Appl. Mech. Rev., 40, 1699-1734 (1987).
8. Stephan, V.: Die Berechnung der Form luftgefüllter Ballons und deren Stabilität, Diploma thesis, TU Berlin, 1989.