Elastic heterogeneity of soft random solidsXiaoming Mao1, Paul M. Goldbart1, Xiangjun Xing2 and Annette Zippelius3
1 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
received 22 June 2007; accepted in final form 3 September 2007; published October 2007
published online 1 October 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.
61.43.-j - Disordered solids.
82.70.Gg - Gels and sols.
62.20.Dc - Elasticity, elastic constants.
© Europhysics Letters Association 2007