Micromechanics modeling of tensile/shear behavior and crack density of composite materials

The motivation of the study is that we evaluate the relationship between matrix crack and transverse crack and stiffness degradation of brittle matrix composites. We use the micromechanics model proposed by Curtin et al. for matrix crack and proposed by Okabe et al. and Gudmundson-Zang. for transverse crack. Moreover, we use the model proposed by Chow and Lu for calculation of shear stiffness degradation from the tensile stiffness degradation. Furthemore, the energy release rate is used as the calculation of damage evolution. We verify the micromechanics model of three dimensions by comparing to the result of Onodera et al.'s paper about transverse crack. Moreover, we validate the micromechanics model of matrix crack by comparing numerical analysis with test. This micromechanics model is implemented in Abaqus code. We check the marterial behavior with cracks in each direction.