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本文采用高分辨X射线断层扫描(Micro-CT)技术对多向轴编C/C复合材料内部炭基体的微观结构进行了观测,获得了基体微观结构尺度分布的概率密度函数;基于非均匀介质的等效夹杂理论建立了炭基体等效弹性性能数学分析模型,采用多孔介质的强度理论推导了炭基体强度计算模型。研究结果表明:基体内非均匀、随机的分布着大量孔洞,孔洞直径介于20μm至200μm之间,孔径满足对数正态分布;将炭基体微结构特征的统计规律引入炭基体等效力学性能计算模型,计算获得炭基体的等效刚度和强度,孔洞对炭基体的力学性能影响显著,在孔径满足对数正态分布条件下,炭基体的刚度与强度满足正态分布规律。
In this paper, the microstructure of carbon matrix in multi-axial C / C composites was observed by high-resolution X-ray tomography (Micro-CT), and the probability density function of the microstructure was obtained. Based on the heterogeneous media Based on the theory of equivalent inclusions, a mathematic model of equivalent elastic property of carbon matrix was established. The calculation model of carbon matrix strength was derived using the strength theory of porous media. The results show that a large number of holes are randomly distributed in the matrix, the diameters of the holes are between 20μm and 200μm, and the pore sizes satisfy the logarithm normal distribution. The statistical regularity of the microstructure of the carbon matrix is introduced into the equivalent mechanical properties of the carbon matrix Calculate the model to calculate the equivalent stiffness and strength of the carbon matrix. The influence of the holes on the mechanical properties of the carbon matrix is significant. Under the condition of pore size satisfying the logarithm normal distribution, the stiffness and strength of the carbon matrix satisfy the normal distribution law.