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The Curvature of Plane Elastic Curves

1993
Abstract : In this paper plane elastic curves are revisited from a viewpoint that emphasizes curvature properties of these curves. The family of elastic curves is considered in dependence of a tension parameter Sigma and the squared global curvature maximum K2/m. It is shown that for any elastic curve K2/m is bigger than the tension parameter Sigma.
openaire   +1 more source

A minimising movement scheme for the p-elastic energy of curves

Journal of Evolution Equations, 2022
Simon Blatt
exaly  

Variational analysis of inextensible elastic curves

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2022
Giulia Bevilacqua
exaly  

Elastic magnetic curves of ferromagnetic and superparamagnetic models on the surface

International Journal of Geometric Methods in Modern Physics, 2021
exaly  

Instability of closed p-elastic curves in ?2

Analysis and Applications, 2023
exaly  

Crack resistance curves of GLARE laminates by elastic compliance

Engineering Fracture Mechanics, 2006
Enrique Mariano Castrodeza
exaly  

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