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根据高温烧结短碳纤维增强熔石英玻璃陶瓷复合材料的工艺原理,建立了一个研究短碳纤维增强熔石英玻璃陶瓷复合材料性能的细观力学理论模型,该模型由熔石英基体、氮化硅颗粒和碳纤维增强相组成的多相复合体,并假设细观结构里周期性均匀分布,采用二尺度展开法计算了复合材料的力学性能。得出了在不同烧结温度和短碳纤维增强相体积分数条件下,复合材料横向Young氏模量、Poisson比和剪切模量的变化曲线,其变化规律与实验数据吻合较好。研究表明:在烧结温度为1400℃和短碳纤维增强相体积分数为30%时,复合材料的有效刚度系数,以及Young氏模量和剪切模量均随着碳纤维体积分数的增大先增大后减小;在碳纤维体积分数为30%时,上述各量取得最大值,此时复合材料具有最佳的力学性能。
According to the process principle of high temperature sintered short carbon fiber reinforced fused silica glass ceramic composites, a theoretical model of meso mechanics was established to investigate the properties of short carbon fiber reinforced fused silica glass ceramic composites. The model consists of fused silica matrix, silicon nitride particles and carbon fibers Enhance the phase composition of the multi-phase composite, and assume that the mesostructural periodic uniform distribution, the use of two-scale expansion method to calculate the mechanical properties of composites. The curves of Young ’s modulus, Poisson’ s ratio and shear modulus in the transverse direction of the composites under different sintering temperature and short carbon fiber reinforced phase volume fraction are obtained. The changing law is in good agreement with the experimental data. The results show that the effective stiffness coefficient, Young’s modulus and shear modulus of the composites increase with the increase of carbon fiber volume fraction at sintering temperature 1400 ℃ and short carbon fiber reinforced phase volume fraction 30% And then decreased. When the volume fraction of carbon fiber is 30%, the maximum value of each above-mentioned value is obtained, and the composite material has the best mechanical properties at this time.