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The mechanical properties of metal matrix fiber-reinforced composites dependon many aspects of their structure in a complicated way. In this paper, wepropose a \emph{minimalistic} approach to study interface debonding, matrixcracking, and their competition in metal matrix fiber-reinforced elastoplasticcomposites by numerical simulation. This approach combines a cohesive zonemodel for interface debonding and a phase field model for matrix cracking. Thefeatures of this framework are: (1) crack nucleation, propagation, andbranching can be easily tracked without the need of geometric programming; (2)the interface debonding is determined merely by the CZM, but not interfered bythe phase field in the bulk; (3) the cohesive interface has zero thicknessinstead of being regularized; (4) any reasonable cohesive law of interest isreadily incorporated with very few constraints; (5) elastoplasticity of thematrix is conveniently taken into account, as strains in the model are all welldefined; (6) the competition of the two failure mechanisms, namely, matrixcracking and interface debonding, is accurately captured. Accuracy of thisframework is verified with existing analytical and numerical results. Theproposed framework shows a potential in investigating various complicated crackbehaviors in composites.

A minimalistic approach to simulate multiple failure mechanisms of metal  matrix fiber-reinforced composites by the phase field and cohesive zone  models