Elastic heterogeneity of soft random solids

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Published 1 October 2007 Europhysics Letters Association
, , Citation Xiaoming Mao et al 2007 EPL 80 26004 DOI 10.1209/0295-5075/80/26004

0295-5075/80/2/26004

Abstract

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.

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10.1209/0295-5075/80/26004