Volume 80, Number 2, October 2007
|Number of page(s)||5|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||01 October 2007|
Elastic heterogeneity of soft random solids
Department of Physics, University of Illinois at Urbana-Champaign - 1110 West Green Street, Urbana, IL 61801, USA
2 Department of Physics, Syracuse University - Syracuse, NY 13244, USA
3 Institut für Theoretische Physik, Universität Göttingen - 37077 Göttingen, Germany
Accepted: 3 September 2007
Spatial heterogeneity in the elastic properties of soft random solids is examined via a semi-microscopic model network using replica statistical mechanics. The elastic heterogeneity is characterized by random residual stress and Lamé coefficient fields, and the statistics of these quantities is inferred. Correlations involving the residual-stress field are found to be long ranged and governed by a universal parameter that also gives the mean shear modulus.
PACS: 61.43.-j – Disordered solids / 82.70.Gg – Gels and sols / 62.20.Dc – Elasticity, elastic constants
© Europhysics Letters Association, 2007
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