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 5 2 for penny-shaped cracks and ϵ 2 for tunnel cracks, where ϵ 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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