Minimal surfaces bounded by elastic lines

DOI10.1098/rspa.2011.0627zbMath1364.53007arXiv1108.0597OpenAlexW3104610871MaRDI QIDQ5345966

Luca Giomi, L. Mahadevan

Publication date: 7 June 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0597

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (17)

Solution of the Kirchhoff-Plateau problem ⋮ Theoretical and experimental study of the stability of a soap film spanning a flexible loop ⋮ The elastica problem under area constraint ⋮ Instability paths in the Kirchhoff-Plateau problem ⋮ Stability and Folds in an Elastocapillary System ⋮ 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 ⋮ A Continuation Method for Computing Constant Mean Curvature Surfaces with Boundary ⋮ Dimensional reduction of the Kirchhoff-Plateau problem ⋮ The Study of Complex Shapes of Fluid Membranes, the Helfrich Functional and New Applications ⋮ Stability and bifurcation of a soap film spanning a flexible loop ⋮ Two-Dimensional Capillary Origami with Inextensibility and Free Triple-Contact Points ⋮ A Björling representation for Jacobi fields on minimal surfaces and soap film instabilities ⋮ Minimizing configurations for elastic surface energies with elastic boundaries ⋮ Regarding the Euler-Plateau problem with elastic modulus ⋮ Nonlinear force density method for the form-finding of minimal surface membrane structures ⋮ Minimal surfaces with elastic and partially elastic boundary

Cites Work

• The total squared curvature of closed curves
• Cylindrical equilibrium shapes of fluid membranes
• Flat points of minimal balance surfaces
• Wilson Loops in Large<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">N</mml:mi></mml:math>Field Theories
• Post Buckling Behavior of Elastic Tubes and Rings with Opposite Sides in Contact

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