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采用内聚力模型(CZM)描述颗粒增强复合材料(PRCs)颗粒/基体非理想界面的力学行为,采用细观力学的Mori-Tanaka(M-T)方法和稀释解方法研究非理想界面刚度对该复合材料有效模量的影响。结果表明:复合材料某一体积含量下的有效模量和其颗粒/基体非理想界面刚度之间存在单调递增的关系曲线。同一复合材料不同体积含量的有效模量和非理想界面刚度关系曲线存在一个临界交点(CP),该点对应的临界界面刚度控制着颗粒体积分数对有效模量的影响。研究了基体和增强相的力学性能以及增强颗粒的尺寸对CP点临界界面刚度的影响。采用有效模量-界面刚度关系曲线,结合实验测得的有效模量,提出了估算PRCs的非理想界面刚度的方法,进而估计了复合材料的宏观有效模量。
The cohesion model (CZM) is used to describe the mechanical behavior of particles / matrix non-ideal interface of particle reinforced composites (PRCs). Mori-Tanaka (MT) method and dilution method are used to study the effect of non-ideal interface stiffness on the composites Effect of modulus. The results show that there is a monotone increasing relationship between the effective modulus and the non-ideal interfacial stiffness of the matrix / matrix at a certain volume fraction of the composite. There exists a critical intersection point (CP) between the effective modulus and the non-ideal interfacial stiffness curve for different volume fractions of the same composite. The critical interface stiffness at this point controls the effect of particle volume fraction on the effective modulus. The effects of the mechanical properties of the matrix and the reinforcement phase and the size of the reinforcement particles on the critical interface stiffness of the CP were investigated. Based on the relationship between effective modulus and interfacial stiffness and the experimentally measured effective modulus, a method to estimate the non-ideal interfacial stiffness of PRCs was proposed, and the macroscopic effective modulus of the composites was also estimated.