Theoretical and experimental study of the stability of a soap film spanning a flexible loop

DOI10.1016/J.IJENGSCI.2015.05.002zbMath1423.76046arXiv1412.1210OpenAlexW2963233425MaRDI QIDQ1623177

Aisa Biria, Eliot Fried

Publication date: 23 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1210

zbMATH Keywords

stability analysisminimal surfacesurface tensionsoap filmbending energyKirchhoff elastic rodvanishing mean curvaturetorsional energy

Mathematics Subject Classification ID

Experimental work for problems pertaining to fluid mechanics (76-05) Thin fluid films (76A20) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (7)

Solution of the Kirchhoff-Plateau problem ⋮ Instability paths in the Kirchhoff-Plateau problem ⋮ Influence of a spanning liquid film on the stability and buckling of a circular loop with intrinsic curvature or intrinsic twist density ⋮ On the anisotropic Kirchhoff-Plateau problem ⋮ Dimensional reduction of the Kirchhoff-Plateau problem ⋮ Minimizing configurations for elastic surface energies with elastic boundaries ⋮ Minimal surfaces with elastic and partially elastic boundary

Cites Work

• Stability and bifurcation of a soap film spanning a flexible loop
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• Sufficient conditions for capillary surfaces to be energy minima
• Die Existenz einer Minimalfläche mit freiem Rand vorgeschriebener Länge
• Equilibrium states of elastic rings
• A note on a paper of Tadjbakhsh and Odeh
• Local stability for a general wetting functional
• Adhesive borders of lipid membranes
• Lagrangian Aspects of the Kirchhoff Elastic Rod
• Minimal surfaces bounded by elastic lines
• Buckling of a soap film spanning a flexible loop resistant to bending and twisting
• Methods for determining stability in continuum elastic-rod models of DNA
• On The Buckling of Elastic Rings
• Nonlinear problems of elasticity
• Minimal surfaces with an elastic boundary

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