Universal formulae for the limiting elastic energy of membrane networks

DOI10.1016/j.jmps.2011.09.003zbMath1244.74080arXiv1102.1383OpenAlexW2102048314WikidataQ59781287 ScholiaQ59781287MaRDI QIDQ443649

Bernd Schmidt, Fernando Fraternali

Publication date: 13 August 2012

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

Full work available at URL: https://arxiv.org/abs/1102.1383

zbMATH Keywords

multiscale modelingdihedral angle potentialslimiting energiesmembrane networksnearest neighbor bond potentials

Mathematics Subject Classification ID

Membranes (74K15)

Related Items (7)

Bending models of lipid bilayer membranes: spontaneous curvature and area-difference elasticity ⋮ Some observations on variational elasticity and its application to plates and membranes ⋮ Energies for elastic plates and shells from quadratic-stretch elasticity ⋮ A unified surface geometric framework for feature-aware denoising, hole filling and context-aware completion ⋮ Approximation of the Willmore energy by a discrete geometry model ⋮ Semi-implicit methods for the dynamics of elastic sheets ⋮ On the optimal prediction of the stress field associated with discrete element models

Cites Work

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• On the estimation of the curvatures and bending rigidity of membrane networks via a local maximum-entropy approach
• On the passage from atomic to continuum theory for thin films
• Folding of thin walled tubes as a free gradient discontinuity problem
• A Derivation of Continuum Nonlinear Plate Theory from Atomistic Models
• A dynamical theory of structures solids. I Basic developments
• Relaxed Notions of Curvature and a Lumped Strain Method for Elastic Plates
• On the Cauchy—Born Rule

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