Elastic heterogeneity of soft random solids

Xiaoming Mao; Paul M. Goldbart; Xiangjun Xing; Annette Zippelius

doi:10.1209/0295-5075/80/26004

Elastic heterogeneity of soft random solids

Xiaoming Mao
, Paul M. Goldbart
, Xiangjun Xing
, Annette Zippelius

Physics and Astronomy

Stony Brook University

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

11 Scopus citations

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.

Original language	English
Article number	26004
Journal	EPL
Volume	80
Issue number	2
DOIs	https://doi.org/10.1209/0295-5075/80/26004
State	Published - Oct 1 2007

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title = "Elastic heterogeneity of soft random solids",

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 Lam{\'e} 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.",

author = "Xiaoming Mao and Goldbart, \{Paul M.\} and Xiangjun Xing and Annette Zippelius",

year = "2007",

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T1 - Elastic heterogeneity of soft random solids

AU - Mao, Xiaoming

AU - Goldbart, Paul M.

AU - Xing, Xiangjun

AU - Zippelius, Annette

PY - 2007/10/1

Y1 - 2007/10/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/79051469687

U2 - 10.1209/0295-5075/80/26004

DO - 10.1209/0295-5075/80/26004

M3 - Article

SN - 0295-5075

VL - 80

JO - EPL

JF - EPL

IS - 2

M1 - 26004

ER -

Elastic heterogeneity of soft random solids

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