Elasticity of highly cross-linked random networks

Details Elasticity of highly cross-linked random networks Elasticity of highly cross-linked random networks

2006-08-17

arxiv.org/abs/cond-mat/0608388v1

Europhysics Letters 76, 677 (2006)

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 5 figures

Scientific paper

10.1209/epl/i2006-10310-7

Starting from a microscopic model of randomly cross-linked particles with quenched disorder, we calculate the Laudau-Wilson free energy S for arbitrary cross-link densities. Considering pure shear deformations, S 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 an universal quantity, not depending on any microscopic length-scales of the model.

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