Change of the Willmore energy under infinitesimal bending of membranes

DOI10.1016/J.CAMWA.2010.03.069zbMath1198.74044OpenAlexW1977468589MaRDI QIDQ603992

Ljubica S. Velimirović, Milica D. Cvetković, Marija S. Ćirić

Publication date: 8 November 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.03.069

zbMATH Keywords

variationinfinitesimal bendingelastic bending energylipid bilayervesicle membranewillmore energy

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Membranes (74K15)

Related Items (16)

Variation of shape operator under infinitesimal bending of surface ⋮ Unnamed Item ⋮ Infinitesimal rotary transformation ⋮ Application of shape operator under infinitesimal bending of surface ⋮ An application of variational minimization: quasi-harmonic coons patches ⋮ Infinitesimal bending of DNA helices ⋮ Two energies for conjoining boron nitride nanotorus and nanotube ⋮ On the Willmore energy of shells under infinitesimal deformations ⋮ Flexibility of curves on a single-sheet hyperboloid ⋮ Extremals and isoperimetric extremals of the rotations in the plane ⋮ Application of the moving frame method to deformed Willmore surfaces in space forms ⋮ Gaudi surfaces and curvature based functional variations ⋮ On the total mean curvature of piecewise smooth surfaces under infinitesimal bending ⋮ Joining curves between nano-torus and nanotube: mathematical approaches based on energy minimization ⋮ Infinitesimal bending of knots and energy change ⋮ Second order infinitesimal bending of curves

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(G^{2}\) surface modeling using minimal mean-curvature-variation flow
• A duality theorem for Willmore surfaces
• Bending of surfaces. II
• Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions
• A geometric theory on the elasticity of bio-membranes
• On the total mean curvature of non-rigid surfaces

This page was built for publication: Change of the Willmore energy under infinitesimal bending of membranes