A framework for damage modelling based on the fast Fourier transform (FFT) method is proposed to combine the variational phase-field approach with a cohesive zone model. This combination enables the application of the FFT methodology in composite materials with interfaces. The composite voxel technique with a laminate model is adopted for this purpose. A frictional cohesive zone model is incorporated to describe the fracture behaviour of the interface including frictional sliding. Representative numerical examples demonstrate that the proposed model is able to predict complex fracture behaviour in composite microstructures, such as debonding, frictional sliding of interfaces, crack deviation and coalescence of interface cracking and matrix cracking.

提出了一种基于快速傅里叶变换 (FFT) 方法的损伤建模框架，将变分相场方法与内聚区模型相结合。这种组合使 FFT 方法能够在具有界面的复合材料中应用。为此采用了具有层压模型的复合体素技术。结合摩擦内聚区模型来描述界面的断裂行为，包括摩擦滑动。具有代表性的数值例子表明，所提出的模型能够预测复合材料微观结构中复杂的断裂行为，例如界面的脱粘、摩擦滑动、裂纹偏差以及界面裂纹和基体裂纹的合并。