Force and moment balance equations for geometric variational problems on curves

E. L. Starostin and G. H. M. van der Heijden
Phys. Rev. E 79, 066602 – Published 16 June 2009

Abstract

We consider geometric variational problems for a functional defined on a curve in a three-dimensional space. The functional is assumed to be written in a form invariant under the group of Euclidean motions. We present the Euler-Lagrange equations as equilibrium equations for the internal force and moment. Examples are discussed to illustrate our approach. This form of the equations particularly serves to promote the study of biofilaments and nanofilaments.

  • Received 2 February 2009

DOI:https://doi.org/10.1103/PhysRevE.79.066602

©2009 American Physical Society

Authors & Affiliations

E. L. Starostin* and G. H. M. van der Heijden

  • Centre for Nonlinear Dynamics, University College London, Gower Street, London WC1E 6BT, United Kingdom

  • *e.starostin@ucl.ac.uk; eugene.starostin@daad-alumni.de
  • g.heijden@ucl.ac.uk

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Issue

Vol. 79, Iss. 6 — June 2009

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