This work presents a numerical model of the toughening behavior exhibi
ted when a Mode I macrocrack propagates through alternating tough and
brittle layers of a composite. The toughening occurs due to microcrack
ing in brittle layers. Microcracks form at periodic flaw sites in brit
tle layers when the stress at a site is sufficient to propagate a crac
k within the layer. An established microcrack is modeled by a dislocat
ion dipole, with Burgers vector chosen to render the normal component
of stress equal to zero at the dipole midpoint. R-curves for layered m
edia are predicted as a function of bi-layer thickness, volume fractio
n, density of flaw sites, and inhomogeneity in fracture toughness and
elastic modulus. A critical combination of properties for the onset of
R-curve behavior is identified, and features which optimize the upper
plateau of the R-curve are discussed in light of experimental observa
tions. (C) 1998 Acta Metallurgica Inc. Published by Elsevier Science L
td. All rights reserved.