A highly anisotropic nonlinear elasticity model for vesicles. II: Derivation of the thin bilayer bending theory

DOI10.1007/S00205-014-0840-ZzbMath1317.35253OpenAlexW2085890461MaRDI QIDQ2354692

Benoît Merlet

Publication date: 20 July 2015

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-014-0840-z

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Variational analysis of a mesoscale model for bilayer membranes ⋮ Gamma convergence of a family of surface-director bending energies with small tilt ⋮ A highly anisotropic nonlinear elasticity model for vesicles. I: Eulerian formulation, rigidity estimates and vanishing energy limit

Cites Work

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• A highly anisotropic nonlinear elasticity model for vesicles. I: Eulerian formulation, rigidity estimates and vanishing energy limit
• On the first variation of a varifold
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity

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