Europhys. Lett.
Volume 64, Number 5, December 2003
Page(s) 647 - 653
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 01 November 2003
DOI: 10.1209/epl/i2003-00614-6
Europhys. Lett., 64 (5) , pp. 647-653 (2003)

Compression modulus of macroscopic fiber bundles

P. Beckrich1, G. Weick2, C. M. Marques1 and T. Charitat3

1  LDFC, UMR 7506, CNRS-ULP - 3 rue de l'Université 67084 Strasbourg Cedex, France
2  IPCMS, UMR 7504, CNRS-ULP - 23 rue du Loess, 67034 Strasbourg Cedex 2, France
3  ICS, UPR 22, CNRS-ULP - 6 rue Boussingault, 67083 Strasbourg Cedex, France

(Received 10 July 2003; accepted in final form 16 September 2003)

We study dense, disordered stacks of elastic macroscopic fibers. These stacks often exhibit non-linear elasticity, due to the coupling between the applied stress and the internal distribution of fiber contacts. We propose a theoretical model for the compression modulus of such systems, and illustrate our method by studying the conical shapes frequently observed at the extremities of ropes and other fiber structures.

45.80.+r - Control of mechanical systems.
46.65.+g - Random phenomena and media.
62.20.-x - Mechanical properties of solids.

© EDP Sciences 2003