Bifurcation to pear-shaped equilibria of pressurized spherical membranes

DOI10.1016/0020-7462(91)90058-2zbMath0761.73056OpenAlexW1977837381MaRDI QIDQ1196445

Yi-Chao Chen, Timothy J. Healey

Publication date: 14 December 1992

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(91)90058-2

zbMATH Keywords

two-dimensional elastic bodyisola bifurcationlocal post- bifurcation analysisstrain-energy functions

Mathematics Subject Classification ID

Plates (74K20) Bifurcations in context of PDEs (35B32)

Related Items (10)

Inhomogeneous spherical configurations of inflated membranes ⋮ Wrinkling behavior of highly stretched rectangular elastic films via parametric global bifurcation ⋮ A finite element framework for fluid-membrane interactions involving fracture ⋮ Stability of pear-shaped configurations bifurcated from a pressurized spherical balloon ⋮ Growth and instability in elastic tissues ⋮ Instabilities in Biaxially Loaded Rectangular Membranes and Spherical Balloons Made of Compressible Isotropic Hyperelastic Materials ⋮ A note on strong ellipticity in two-dimensional isotropic elasticity ⋮ On the symmetry of energy-minimising deformations in nonlinear elasticity. I: Incompressible materials ⋮ Small amplitude radial oscillations of an incompressible, isotropic elastic spherical shell ⋮ On the inflation of residually stressed spherical shells

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