Helical and Localised Buckling in Twisted Rods: A Unified Analysis of the Symmetric Case

By G. V. D. van der Heijden, J. Thompson. 2000

148 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/be7542b867595b7bd38cfe96964938fe8b9c64ed

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. G. V. D. Heijden
2. C. Prior
3. Mitchell A. Berger

Citations in the corpus

• Supercoiling of DNA plasmids: mechanics of the generalized ply (2002, result): “Application of this result, as in van der Heijden & Thompson (2000), gives immediately their eqn (65), which for our two-strand ply becomes Wr = K(1 − cos θ) − K(1 + cos θ) = −L sin 2θ/2πr, (4.1) where K is the number of helical waves in one rod given by K = L sin θ/2πr.”
• Discrete elastic rods (2008, unknown): “The envelope of the helix is given by f (ϕ(s)) = tanh2 ( s s∗ ) , where s/s∗ is the dimensionless arc length given by s/s∗ = ( βm 2α √ 1−cosϕ0 1+cosϕ0 ) s, which simplifies to f (ϕ) = cosϕ−cosϕ0 1−cosϕ0 (see e.g. [van der Heijden and Thompson 2000]).”
• The writhe of open and closed curves (2006, background): “A twisted tube with elastic energy is called an isotropic rod (van der Heijden and Thompson 2000).”