Prediction of fracture toughness scatter of composite materials as function of microstructure

Abstract eng:
Weibull distribution has been widely used to determine the probability of material fracture. However, its role has been primarily confined to fitting fracture toughness data rather than providing predictive insight of material fracture toughness and its magnitude of scatter. Besides, the Weibull parameters which are obtained through curve fitting carry little physical significance. In this paper, a multiscale framework is developed to predict material fracture toughness of composite materials in a statistical sense. The Weibull distribution parameters are correlated with the statistical measures of microstructure characteristics and the statistical characterization of the competition between crack deflection and crack penetration at matrix/reinforcement interfaces. The established correlations are useful for material sensitive design.

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