Floppy Modes and Nonaffine Deformations in Random Fiber Networks

Claus Heussinger and Erwin Frey
Phys. Rev. Lett. 97, 105501 – Published 8 September 2006

Abstract

We study the elasticity of random fiber networks. Starting from a microscopic picture of the nonaffine deformation fields, we calculate the macroscopic elastic moduli both in a scaling theory and a self-consistent effective medium theory. By relating nonaffinity to the low-energy excitations of the network (“floppy modes”), we achieve a detailed characterization of the nonaffine deformations present in fibrous networks.

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  • Received 26 March 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.105501

©2006 American Physical Society

Authors & Affiliations

Claus Heussinger and Erwin Frey

  • Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, Theresienstrasse 37, D-80333 München, Germany

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Issue

Vol. 97, Iss. 10 — 8 September 2006

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