Elastic heterogeneity of soft random solids

Details Elastic heterogeneity of soft random solids Elastic heterogeneity of soft random solids

2006-10-16

arxiv.org/abs/cond-mat/0610407v1

Europhysics Letters 80, 26004 (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages

Scientific paper

10.1209/0295-5075/80/26004

Spatial heterogeneity in the elastic properties of soft random solids is investigated via a two-pronged approach. First, a nonlocal phenomenological model for the elastic free energy is examined. This features a quenched random kernel, which induces randomness in the residual stress and Lame coefficients. Second, a semi-microscopic model network is explored using replica statistical mechanics. The Goldstone fluctuations of the semi-microscopic model are shown to reproduce the phenomenological model, and via this correspondence the statistical properties of the residual stress and Lame coefficients are inferred. Correlations involving the residual stress are found to be long-ranged and governed by a universal parameter that also gives the mean shear modulus.

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