A generalized self-consistent mechanics method for microcracked solids

Y. Huang; K. X. Hu; A. Chandra

doi:10.1016/0022-5096(94)90035-3

A generalized self-consistent mechanics method for microcracked solids

Y. Huang^*, K. X. Hu, A. Chandra

^*Corresponding author for this work

Civil and Environmental Engineering

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

98 Scopus citations

Abstract

A crack-matrix-composite model is proposed and studied for microcracked solids. The model properly accounts for the effect of crack interactions on the effective moduli of microcracked solids. Approximate formulas for randomly distributed penny-shaped cracks and tunnel cracks are given. The difference between the crack-matrix-composite model and that of the dilute or non-interacting solution is of the order ε{lunate}^{5 2} for penny-shaped cracks and ε{lunate}² for tunnel cracks, where ε{lunate} is the crack density. The results from an accurate numerical method for arbitrarily distributed cracks, based on a pseudo-traction approach, verify the present crack-matrix-composite model.

Original language	English (US)
Pages (from-to)	1273-1291
Number of pages	19
Journal	Journal of the Mechanics and Physics of Solids
Volume	42
Issue number	8
DOIs	https://doi.org/10.1016/0022-5096(94)90035-3
State	Published - Jan 1 1994

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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title = "A generalized self-consistent mechanics method for microcracked solids",

abstract = "A crack-matrix-composite model is proposed and studied for microcracked solids. The model properly accounts for the effect of crack interactions on the effective moduli of microcracked solids. Approximate formulas for randomly distributed penny-shaped cracks and tunnel cracks are given. The difference between the crack-matrix-composite model and that of the dilute or non-interacting solution is of the order ε{lunate} 5 2 for penny-shaped cracks and ε{lunate}2 for tunnel cracks, where ε{lunate} is the crack density. The results from an accurate numerical method for arbitrarily distributed cracks, based on a pseudo-traction approach, verify the present crack-matrix-composite model.",

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N2 - A crack-matrix-composite model is proposed and studied for microcracked solids. The model properly accounts for the effect of crack interactions on the effective moduli of microcracked solids. Approximate formulas for randomly distributed penny-shaped cracks and tunnel cracks are given. The difference between the crack-matrix-composite model and that of the dilute or non-interacting solution is of the order ε{lunate} 5 2 for penny-shaped cracks and ε{lunate}2 for tunnel cracks, where ε{lunate} is the crack density. The results from an accurate numerical method for arbitrarily distributed cracks, based on a pseudo-traction approach, verify the present crack-matrix-composite model.

AB - A crack-matrix-composite model is proposed and studied for microcracked solids. The model properly accounts for the effect of crack interactions on the effective moduli of microcracked solids. Approximate formulas for randomly distributed penny-shaped cracks and tunnel cracks are given. The difference between the crack-matrix-composite model and that of the dilute or non-interacting solution is of the order ε{lunate} 5 2 for penny-shaped cracks and ε{lunate}2 for tunnel cracks, where ε{lunate} is the crack density. The results from an accurate numerical method for arbitrarily distributed cracks, based on a pseudo-traction approach, verify the present crack-matrix-composite model.

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