Stochastic micromechanical damage modeling of progressive fiber breakage for longitudinal fiber-reinforced composites

A computational stochastic micromechanics-based framework is proposed to investigate the overall mechanical behavior of longitudinal continuous fiber-reinforced composites considering progressive fiber breaking evolution. An effective eigenstrain is newly introduced to quantify the effect of multiple breaks in a single fiber based on linear elastic fracture mechanics and the ensemble-volume averaging technique. In particular, the cumulative nature of fiber breaking evolution is characterized by a two-parameter Weibull distribution function. Taking advantage of the newly proposed eigenstrain, a damage evolution model is developed to simulate the material behavior of multiple fiber-reinforced composite materials. Further, two stochastic risk-competing models are proposed to simulate the fiber breaking evolution in an inhomogeneous fashion considering the local load sharing mechanisms. The first risk-competing model states that the neighboring fiber of the damaged fiber with dominant weakness fractures with ...