提出了一种高体积含量颗粒增强复合材料的细观力学模型.该模型将颗粒简化为同质、同尺寸的弹性圆球,两颗粒之间的粘接材料(基体)简化为连接颗粒的一段圆柱体,假设了圆柱形基体中的细观位移分布形式,在此基础上分析了一对颗粒之间弹性的细观应力场和细观弹性系数,将颗粒对的细观弹性系数在空间各个方向上平均,得到材料的宏观弹性常数,并建立了宏、细观分析之间的联系.最后用本模型分析了一种实际材料(两种体积含量),弹性常数的预测与实验吻合良好,研究还发现颗粒的空间分布方式对材料宏观弹性常数的影响不大,而对细观应力的影响显著.
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