Buckling of elastic filaments by discrete magnetic moments
Institute for Nonlinear Dynamics, University of Göttingen, 37077, Göttingen, Germany
Accepted: 19 September 2017
Published online: 11 October 2017
We study the buckling of an idealized, semiflexible filament along whose contour magnetic moments are placed. We give analytic expressions for the critical stiffness of the filament below which it buckles due to the magnetic compression. For this, we consider various scenarios of the attachment of the magnetic particles to the filament. One possible application for this model are the magnetosome chains of magnetotactic bacteria. An estimate of the critical bending stiffness indicates that buckling may occur within the range of biologically relevant parameters and suggests a role for the bending stiffness of the filament to stabilize the filament against buckling, which would compromise the functional relevance of the bending stiffness of the used filament.
Key words: Living systems: Biomimetic Systems
© EDP Sciences, SIF, Springer-Verlag GmbH Germany, 2017