Geometrical methods for the elasticity theory of membranes

DOI10.1063/1.526612zbMath0581.73074OpenAlexW2004088481MaRDI QIDQ3703403

Mark A. Peterson

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526612

zbMATH Keywords

Lie derivativemetric tensorstrain tensorcurved membranesgeometrical methodscoordinate-free formulationshape changesconserve area and interior volumecurvature free energydeformed at constant densityexpanded about its minimuminduced flow which minimizes shear dissipation

Mathematics Subject Classification ID

Membranes (74K15) Theory of constitutive functions in solid mechanics (74A20)

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Asymptotic stability of local Helfrich minimizers ⋮ HEISENBERG SPINS ON A CYLINDER SECTION ⋮ The second variational formula for Willmore submanifolds in \(S^n\). ⋮ Modelling Line Tension in Wetting

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