On the contact of a spherical membrane enclosing a fluid with rigid parallel planes

International Journal of Non-Linear Mechanics

Volumn 45, Issue 3, 2010, Pages 294-300

  Nadler, Ben ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Contact; Non linear elasticity; Spherical membrane; Wrinkling

Indexed keywords

CONTACT FORCES; EQUILIBRIUM CONFIGURATION; FLUID-STRUCTURES; ISOTROPIC STRUCTURE; LOADING CONDITION; MECHANICAL RESPONSE; MEMBRANE WRINKLING; NON-LINEAR; NONLINEAR ELASTICITY; NUMERICAL PROCEDURES; PARALLEL PLANES; STRESS DISTRIBUTION;

ELASTICITY; FLUID STRUCTURE INTERACTION; FLUIDS; RIGID STRUCTURES; SPHERES; STRESS ANALYSIS; STRESS CONCENTRATION;

MEMBRANE STRUCTURES;

EID: 75349105164     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2009.12.001     Document Type: Article

References (13)

1. Feng W., and Yang W.-H. On the contact problem of an inflated spherical nonlinear membrane. J. Appl. Mech. 41 (1973) 209-214
2. Lardner T., and Pujara P. Compression of spherical cells. Mech. Today 5 (1980) 161-176
3. Carin M., Barthes-Biesel D., Edwards-Levy F., Postel C., and Andrei D. Compression of biocompatible liquid-filled HSA-alginate capsules: determination of membrane mechanical properties. Biotechnol. Bioeng. 82 (2003) 207-212
4. Pipkin A. The relaxed energy density for isotropic elastic membranes. IMA J. Appl. Math. 36 (1986) 85-99
5. Haseganu E., and Steigmann D. Analysis of partly wrinkled membranes by the method of dynamic relaxation. Comput. Mech. 14 (1994) 596-614
6. Nadler B., Papadopoulos P., and Steigmann D. Convexity of the strain-energy function in a two-scale model of ideal fabrics. J. Elasticity 84 (2006) 223-244
7. Libai A. The transition zone near wrinkles in pulled spherical membrane. Int. J. Sol. Struct. 26 (1990) 927-939
8. Epstein M. Differential equation for the amplitude of wrinkles. AIAA J. 41 (2003) 327-329
9. Ogden R. Non-linear Elastic Deformations (1997), Dover, New York
10. Libai A., and Simmonds J. The Nonlinear Theory of Elastic Shells (1998), Cambridge
11. Steigmann D., and Pipkin A. Finite deformations of wrinkled membranes. Q. J. Mech. Appl. Math. 42 3 (1989) 427-440
12. Steigmann D., and Pipkin A. Axisymmetric tension fields. J. Appl. Math. Phys. 42 (1989) 526-542
13. Steigmann D. Tension-field theory. Proc. R. Soc. London A 429 (1990) 141-173