A generalized self-consistent mechanics method for microcracked solids

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

*Corresponding author for this work

Research output: Contribution to journalArticle

98 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)1273-1291
Number of pages19
JournalJournal of the Mechanics and Physics of Solids
Volume42
Issue number8
DOIs
StatePublished - Jan 1 1994

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Mechanics
cracks
Cracks
composite materials
tunnels
Tunnels
Composite materials
matrices
traction
Numerical methods

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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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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A generalized self-consistent mechanics method for microcracked solids. / Huang, Y.; Hu, K. X.; Chandra, A.

In: Journal of the Mechanics and Physics of Solids, Vol. 42, No. 8, 01.01.1994, p. 1273-1291.

Research output: Contribution to journalArticle

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T1 - A generalized self-consistent mechanics method for microcracked solids

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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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