Scaling Crossover in Crack-Tip Stresses and a Robust Scaling Law for Fracture Strength

We study the crack-tip stress in a two-dimensional network model with a practical nonlinear stress-strain relation. As a result, we find a scaling crossover in the relation between the crack-tip stress and mesh size from a linear to nonlinear scaling regime, leading to a simple scaling law for the f...

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Bibliographic Details
Published in:Journal of the Physical Society of Japan 2015-11, Vol.84 (11), p.1-1
Main Authors: Takahashi, Narumi, Okumura, Ko
Format: Article
Language:English
Subjects:
Crossovers
Fracture strength
Geometry
Networks
Nonlinearity
Strength
Stress analysis
Stress-strain curves
Stress-strain relationships
Stresses
Voids
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Summary:We study the crack-tip stress in a two-dimensional network model with a practical nonlinear stress-strain relation. As a result, we find a scaling crossover in the relation between the crack-tip stress and mesh size from a linear to nonlinear scaling regime, leading to a simple scaling law for the fracture strength of the network. The present results may be pertinent to the strength of materials with voids. In this context, the results are independent of the detailed geometry of voids, and the scaling law for the strength suggests that nonlinearity in a high stress-strain region is essential for material strength.
ISSN:0031-9015
1347-4073