Elasticity of highly cross-linked random networks

S. Ulrich; X. Mao; P. M. Goldbart; A. Zippelius

doi:10.1209/epl/i2006-10310-7

Elasticity of highly cross-linked random networks

S. Ulrich
, X. Mao
, P. M. Goldbart
, A. Zippelius

Physics and Astronomy

University of Göttingen
University of Illinois at Urbana-Champaign

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

Starting from a microscopic model of randomly cross-linked particles with quenched disorder, we calculate the Landau-Wilson free energy 5 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 a universal quantity, not depending on any microscopic length-scales of the model.

Original language	English
Pages (from-to)	677-682
Number of pages	6
Journal	EPL
Volume	76
Issue number	4
DOIs	https://doi.org/10.1209/epl/i2006-10310-7
State	Published - Nov 15 2006

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title = "Elasticity of highly cross-linked random networks",

abstract = "Starting from a microscopic model of randomly cross-linked particles with quenched disorder, we calculate the Landau-Wilson free energy 5 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 a universal quantity, not depending on any microscopic length-scales of the model.",

author = "S. Ulrich and X. Mao and Goldbart, \{P. M.\} and A. Zippelius",

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AU - Ulrich, S.

AU - Mao, X.

AU - Goldbart, P. M.

AU - Zippelius, A.

PY - 2006/11/15

Y1 - 2006/11/15

N2 - Starting from a microscopic model of randomly cross-linked particles with quenched disorder, we calculate the Landau-Wilson free energy 5 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 a universal quantity, not depending on any microscopic length-scales of the model.

AB - Starting from a microscopic model of randomly cross-linked particles with quenched disorder, we calculate the Landau-Wilson free energy 5 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 a universal quantity, not depending on any microscopic length-scales of the model.

UR - https://www.scopus.com/pages/publications/33751246192

U2 - 10.1209/epl/i2006-10310-7

DO - 10.1209/epl/i2006-10310-7

M3 - Article

AN - SCOPUS:33751246192

SN - 0295-5075

VL - 76

SP - 677

EP - 682

JO - EPL

JF - EPL

IS - 4

ER -

Elasticity of highly cross-linked random networks

Abstract

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