| Issue |
Europhys. Lett.
Volume 76, Number 4, November 2006
|
|
|---|---|---|
| Page(s) | 677 - 682 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i2006-10310-7 | |
| Published online | 18 October 2006 | |
Elasticity of highly cross-linked random networks
1
Institut für Theoretische Physik, Georg-August-Univeristät Göttingen 37073 Göttingen, Germany
2
Department of Physics, University of Illinois at Urbana-Champaign 1110 West Green Street, Urbana, IL 61801-3080, USA
Received:
21
August
2006
Accepted:
19
September
2006
Starting from a microscopic model of randomly cross-linked particles with quenched disorder, we calculate the Landau-Wilson free energy 
for arbitrary cross-link densities. Considering pure shear deformations, takes the form of the elastic energy of an isotropic amorphous solid state, from which the shear modulus can be identified. It is found to be a universal quantity, not depending on any microscopic length-scales of the model.
PACS: 82.70.Gg – Gels and sols / 61.41.+e – Polymers, elastomers, and plastics / 62.20.Dc – Elasticity, elastic constants
© EDP Sciences, 2006
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