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结合Eshelby夹杂理论和Mori-Tanaka方法推导陶瓷基体中含两种以上不同形状和不同力学性质的夹杂情况下,复合材料的有效力学性能计算的广义Mori-Tanaka解析计算式,分析颗粒与短纤维夹杂对复合材料有效力学性能的影响,并用三维均质化法检验所得解析式的可靠性。结果表明,解析模型与均质化法得到的结果非常吻合,不同形状的夹杂对有效力学性能的影响很大,短纤维增强相能够有效改善复合材料沿短纤维方向的纵向有效力学性能,对提高多相混合增强陶瓷基复合材料的刚度和强度起主要作用;球状颗粒增强相能有效改善复合材料的横向有效力学性能,并保持复合材料强度的稳定性,不同形状的夹杂能够综合改善陶瓷基复合材料的力学性能。
Based on the Eshelby inclusion theory and the Mori-Tanaka method, the generalized Mori-Tanaka analytical formula for calculating the effective mechanical properties of composites with two or more kinds of inclusions with different shapes and mechanical properties is derived. On the effective mechanical properties of composites, and using the three-dimensional homogenization method to test the analytical reliability. The results show that the analytical model is in good agreement with the results obtained by the homogenization method. The inclusion of different shapes has a great influence on the effective mechanical properties. The short fiber reinforced phase can effectively improve the longitudinal mechanical properties of the composite along the short fiber direction, Multiphase hybrid reinforce the stiffness and strength of ceramic matrix composites play a major role; spherical particle reinforced phase can effectively improve the transverse mechanical properties of composite materials, and maintain the stability of the strength of composite materials, inclusions of different shapes can comprehensively improve the ceramic matrix composites Mechanical properties of materials.