基于Ju和Chen提出的颗粒增强复合材料的一般细观力学方法,采用Qu给出的一阶近似修正的Eshelby张量,本文建立了考虑夹杂之间相互影响的含任意分布弱界面颗粒增强多相复合材料等效模量预测的一般细观力学方法,通过体积均匀化方法得到了一组细观力学本构方程.分别推导了忽略夹杂之间相互影响的弱界面多相复合材料宏观模量表达式以及考虑夹杂之间相互影响的弱界面两相复合材料的宏观模量表达式.此外,还给出了几种特殊复合材料体系在考虑界面弱化下的宏观等效性能参数的解析表达式,在界面粘结完好的假设下,给出的表达式均可以退化成经典的细观力学预测结果.在考虑夹杂之间相互影响的情况下,本文预测结果与实验数据吻合很好,验证了模型的有效性.%Based on the micromechanical framework for particle-reinforced composites of Ju and Chen and Qu's one-order modified Eshelby tensor for slightly weakened interfaces, a general micromechanical method for effective modulus prediction of elastic multi-phase composites containing randomly dispersed slightly weakened interfacial heterogeneities was proposed with pair-wise particle interactions. Through the ensemble-volume averaged procedure, a set of micromechanical constitutive equations were presented. Effective elastic properties of multi-phase composites without pair-wise particle interactions and effective elastic properties of two-phase composites with particle interactions were derived, respectively, by taking imperfect interfaces into consideration. Furthermore, explicit expressions of the effective elastic moduli, which could be degraded to the classical micromechanical estimates with perfect interfaces, were also given to those with slightly weakened interfaces for several special composites. Results of the present method, with the consideration of pair-wise particle interactions, coincide with experiment data exactly, showing the validity of the present method.
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