Statistical-thermodynamic approach to fracture

Robin L.Blumberg Selinger; Zhen Gang Wang; William M. Gelbart; Avinoam Ben-Shaul

doi:10.1103/PhysRevA.43.4396

Statistical-thermodynamic approach to fracture

Robin L.Blumberg Selinger^*, Zhen Gang Wang, William M. Gelbart, Avinoam Ben-Shaul

^*Corresponding author for this work

Institute of Chemistry

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

87 Scopus citations

Abstract

We present a statistical-thermodynamic theory that associates fracture of a solid with the approach of a spinodal upon increasing stress. This formulation is illustrated by a one-dimensional model, and the temperature dependence of the nonlinear stress-strain relation and fracture stress is obtained. A two-dimensional network model is treated by both effective-medium theory and Monte Carlo simulations, showing metastability and the nucleation of microcracks.

Original language	English
Pages (from-to)	4396-4400
Number of pages	5
Journal	Physical Review A
Volume	43
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevA.43.4396
State	Published - 1991

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title = "Statistical-thermodynamic approach to fracture",

abstract = "We present a statistical-thermodynamic theory that associates fracture of a solid with the approach of a spinodal upon increasing stress. This formulation is illustrated by a one-dimensional model, and the temperature dependence of the nonlinear stress-strain relation and fracture stress is obtained. A two-dimensional network model is treated by both effective-medium theory and Monte Carlo simulations, showing metastability and the nucleation of microcracks.",

author = "Selinger, {Robin L.Blumberg} and Wang, {Zhen Gang} and Gelbart, {William M.} and Avinoam Ben-Shaul",

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doi = "10.1103/PhysRevA.43.4396",

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AB - We present a statistical-thermodynamic theory that associates fracture of a solid with the approach of a spinodal upon increasing stress. This formulation is illustrated by a one-dimensional model, and the temperature dependence of the nonlinear stress-strain relation and fracture stress is obtained. A two-dimensional network model is treated by both effective-medium theory and Monte Carlo simulations, showing metastability and the nucleation of microcracks.

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Statistical-thermodynamic approach to fracture

Abstract

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