7 papers
Helical buckling of a whirling conducting rod in a uniform magnetic field
J. Valverde, G. H. M. van der Heijden
We study the effect of a magnetic field on the behaviour of a conducting elastic rod subject to a novel set of boundary conditions that, in the case of a transversely isotropic rod…
Comment on 'Statistical mechanics of developable ribbons' by L. Giomi and L. Mahadevan
E. L. Starostin, G. H. M. van der Heijden
Giomi and Mahadevan [Phys. Rev. Lett. 104, 238104 (2010)] study the statistical mechanics of elastic ribbons and claim to provide evidence for "an underlying helical structure" of…
Nonintegrability of an extensible conducting rod in a uniform magnetic field
G. H. M. van der Heijden, K. Yagasaki
The equilibrium equations for an isotropic Kirchhoff rod are known to be completely integrable. It is also known that neither the effects of extensibility and shearability nor the…
Triangular buckling patterns of twisted inextensible strips
A. P. Korte, E. L. Starostin, G. H. M. van der Heijden
When twisting a strip of paper or acetate under high longitudinal tension, one observes, at some critical load, a buckling of the strip into a regular triangular pattern. Very simi…
Spatial chaos of an extensible conducting rod in a uniform magnetic field
D. Sinden, G. H. M. van der Heijden
The equilibrium equations for the isotropic Kirchhoff rod are known to form an integrable system. It is also known that the effects of extensibility and shearability of the rod do…
Quantum states and localisation of developable Moebius nanostructures
A. P. Korte, G. H. M. van der Heijden
The equilibrium equations for wide, developable, Moebius strips undergoing large deformations have recently been derived, and solved, numerically. We use these results to compute t…