Symmetry breaking during inflation of a toroidal membrane

DOI10.1016/J.JMPS.2018.08.008zbMATH Open1479.74082OpenAlexW2886250335MaRDI QIDQ2075607

Anirvan Dasgupta, Soham Roychowdhury

Publication date: 15 February 2022

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmps.2018.08.008

zbMATH Keywords

symmetry breakinggeometric instabilitysupercritical pitchfork bifurcationtoroidal membranereverse subcritical pitchfork bifurcation

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Membranes (74K15)

Cites Work

• Symmetry aspects in stability investigations for thin membranes
• Instability of hyper-elastic balloon-shaped space membranes under pressure loads
• Elastic instabilities in rubber
• Necking of pressurized spherical membranes
• Finite deformation of a pressurized toroidal membrane
• The finite inflation of an elastic toroidal membrane of circular cross section
• Slow passage through the nonhyperbolic homoclinic orbit associated with a subcritical pitchfork bifurcation for Hamiltonian systems and the change in action
• THE FINITE INFLATION OF A THICK-WALLED ELASTIC TORUS
• Large elastic deformations of isotropic materials. I. Fundamental concepts

Related Items (3)

Axial-symmetry breaking in constrained membranes ⋮ Static and dynamic analysis of a hyperelastic toroidal air-spring structure ⋮ A novel nonlinear elasticity approach for analysis of nonlinear and hyperelastic structures

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