This paper is concerned with the crack analysis of RVE (representative volume element) microstructures of metal-ceramic phase composite. The detailed random RVE microstructure models of metal-ceramic phase composite are generated by a mathematical RMDF (random morphology description functions) micro modeling technology. The dispersion pattern and scale of random microstructure models are controlled by the volume fractions V of base materials and the total number N of Gaussian functions. The stress intensity factors (SIF) and the crack propagation trajectories are evaluated by the interaction integral and predicted by Paris law. These crack characteristics are investigated with respect to the model scale N and the initial crack length, and also compared with those of homogenization models. Through the numerical results, it is observed that both SIFs and crack propagation trajectories are remarkably influenced by the crack length, the model scale N and the dispersion pattern of RVE microstructure.

本文涉及金属陶瓷相复合材料的RVE（代表体积元）微观结构的裂纹分析。金属陶瓷相复合材料的详细随机RVE微观结构模型是通过数学RMDF（随机形态描述函数）微观建模技术生成的。随机微观结构模型的分散模式和尺度由基础材料的体积分数V和高斯函数的总数N控制。应力强度因子（SIF）和裂纹扩展轨迹通过相互作用积分进行评估，并根据巴黎定律进行预测。相对于模型比例N研究了这些裂纹特征和初始裂纹长度，并与均质模型进行比较。通过数值结果可以看出，裂纹扩展长度，模型尺度N和RVE微观结构的分散模式对SIF和裂纹扩展轨迹都有显着影响。