Force focusing in confined fibres and sheets

  title={Force focusing in confined fibres and sheets},
  author={Victor Romero and E Cerda and Thomas A. Witten and Tao Liang},
  journal={Journal of Physics D},
A thin fibre or sheet curled into a circular container has a detached region whose shape and force ratios are independent of material properties and container radius. We compute this shape and compare it with experiments. The discrete forces acting at either end of the detached region have a ratio that depends only on the length of the fibre or sheet relative to the circle radius. We calculate this force ratio in three regimes of circle radius. 

Figures from this paper

Packing transitions in the elastogranular confinement of a slender loop.
New insights are brought into the packing behavior of wires and thin sheets, and will be relevant to modeling plant root morphogenesis, burrowing and locomotive strategies of vertebrates & invertebrates, and developing smart, steerable needles.
Nonlinear mechanics of rigidifying curves.
This paper shows how including nonlinearities in the strain can explain these phenomena and demonstrates folding isometries with explicit solutions to the nonlinear isometry equations.
Wrinkling, folding, and snapping instabilities in polymer films
  • Douglas Peter Holmes
  • Materials Science
  • 2009


Multiple coiling of an elastic sheet in a tube
A piece of paper coiled up in a tube hugs the wall in order to minimize its elastic energy. However, a moment's observation shows that the paper fails to make complete contact near its ends. Here, we
Buckling microtubules in vesicles.
This Letter is concerned with microtubules within artificial phospholipid vesicles, their shapes, and the shape transformations induced by membrane tension.
Kinks, rings, and rackets in filamentous structures
  • A. Cohen, L. Mahadevan
  • Materials Science, Medicine
    Proceedings of the National Academy of Sciences of the United States of America
  • 2003
It is shown that the slender geometry is a more important determinant of the morphology than any molecular details and mesoscopic continuum theory is capable of quantifying observations of these structures and is suggestive of their occurrence in other filamentous assemblies.
Highly Viscoelastic Wormlike Micellar Solutions Formed by Cationic Surfactants with Long Unsaturated Tails
Cationic surfactants having long (C22) mono-unsaturated tails were studied in aqueous solutions containing salt using steady and dynamic rheology. The surfactant erucyl
Nanotubes and nanowires
Synthesis and characterization of nanotubes and nanowires constitute an important part of nanoscience since these materials are essential building units for several devices. We have prepared aligned
A treatise on the mathematical theory of elasticity
The present treatise is the outcome of a suggestion made to me some years ago by Mr R. R. Webb that I should assist him in the preparation of a work on Elasticity. He has unfortunately found himself
Classical Dynamics of Particles and Systems
J B Marion London: Academic Press 1970 pp xvi + 573 price £6.15 This book is the second edition of a text by the same author, which appeared under the same title. Marion's first edition has become
A Treatise on the Mathematical Theory of Elasticity
INSTEAD of merely revising his former treatise, Prof. Love has written a new one; the result is that we have two works by the same author, in some ways contrasting, in others complementary. And as in
Molecular Cell Biology
Molecular cell biology , Molecular cell biology , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزی
Nanotubes and nanowires (Cambridge: Royal Society of Chemistry
  • 2005