On solutions to Euler-Lagrange equations governing isotropic, homogeneous, naturally curved Kirchhoff's elastic rods

DOI10.1007/S10659-010-9257-6zbMath1248.74023OpenAlexW2084858646MaRDI QIDQ644709

Li-Tien Cheng, Kai Hu

Publication date: 7 November 2011

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-010-9257-6

zbMATH Keywords

total energyDNA modeltwisting density

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Multiplicity of solutions of equilibrium problems in solid mechanics (74G35)

Cites Work

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• Writhe of DNA induced by a terminal twist
• Elastic model of looped DNA
• A differential-geometric interpretation of Kirchhoff’s elastic rods
• Finite-element analysis of the displacement of closed DNA loops under torsional stress
• Theory of supercoiled elastic rings with self-contact and its application to DNA plasmids

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