A differential-geometric interpretation of Kirchhoff’s elastic rods

DOI10.1063/1.532891zbMath0971.74048OpenAlexW1968273403WikidataQ115328316 ScholiaQ115328316MaRDI QIDQ4270349

Kai Hu

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532891

zbMATH Keywords

uniquenessRiemannian geometrynonuniquenessgeometry of pathsCayley-Klein parameterclamped-end conditionsconstrained elastic energy functionaldistorted three-sphereKirchoff's theory of rods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Applications of differential geometry to physics (53Z05)

Related Items (5)

Terminal twist-induced writhe of DNA with intrinsic curvature ⋮ Stability of anisotropic, naturally straight, helical elastic thin rods ⋮ On solutions to Euler-Lagrange equations governing isotropic, homogeneous, naturally curved Kirchhoff's elastic rods ⋮ Buckling of some isotropic, intrinsically curved elasticas induced by a terminal twist ⋮ Knot types of generalized Kirchhoff rods

Cites Work

• Knotted Elastic Curves in R ³
• A Report on Harmonic Maps
• The Writhing Number of a Space Curve

This page was built for publication: A differential-geometric interpretation of Kirchhoff’s elastic rods