46 citations · 83 across the 5 of their papers we have counts for
5 papers
Force and moment balance equations for geometric variational problems on curves
E. L. Starostin, G. H. M. van der Heijden
We consider geometric variational problems for a functional defined on a curve in three-dimensional space. The functional is assumed to be written in a form invariant under the gro…
Cascade unlooping of a low-pitch helical spring under tension
E. L. Starostin, G. H. M. van der Heijden
We study the force vs extension behaviour of a helical spring made of a thin torsionally-stiff anisotropic elastic rod. Our focus is on springs of very low helical pitch. For certa…
Magnetically-induced buckling of a whirling conducting rod with applications to electrodynamic space tethers
J. Valverde, G. H. M. van der Heijden
We study the effect of a magnetic field on the behaviour of a slender conducting elastic structure, motivated by stability problems of electrodynamic space tethers. Both statical (…
Tension-induced multistability in inextensible helical ribbons
E. L. Starostin, G. H. M. van der Heijden
We study the non-monotonic force-extension behaviour of helical ribbons using a new model for inextensible elastic strips. Unlike previous rod models our model predicts hysteresis…
Self-contact for rods on cylinders
G. H. M. van der Heijden, M. A. Peletier, R. Planqué
We study self-contact phenomena in elastic rods that are constrained to lie on a cylinder. By choosing a particular set of variables to describe the rod centerline the variational…