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 | |
| State | Published - Jan 1 1994 |
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ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
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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 journal › Article
TY - JOUR
T1 - A generalized self-consistent mechanics method for microcracked solids
AU - Huang, Y.
AU - Hu, K. X.
AU - Chandra, A.
PY - 1994/1/1
Y1 - 1994/1/1
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.
UR - http://www.scopus.com/inward/record.url?scp=0028485992&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0028485992&partnerID=8YFLogxK
U2 - 10.1016/0022-5096(94)90035-3
DO - 10.1016/0022-5096(94)90035-3
M3 - Article
AN - SCOPUS:0028485992
VL - 42
SP - 1273
EP - 1291
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
SN - 0022-5096
IS - 8
ER -