中文摘要：

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。

英文摘要：

According to the principle of manufacturing of fused silica composites reinforced by short carbon fibers,a mi- cro-mechanical model was developed to investigate the mechanical properties of the composites.The composites consisted of a fused silica matrix,Si_3N_4 grains and short carbon fibers.It was assumed that the composites have a periodic microstructure.The transverse Young s modulus,shear modulus and Poisson ratio of the composites were calculated by the two-scale expansion method.The nu- merical resul...