复合材料中增强相形状对有效模量的影响(Ⅰ)

Effects of reinforcement shape on the effective moduli of composites (Ⅰ)

采用 Mori- Tanaka方法 ,研究了基体 /夹杂类复合材料中增强相形状对有效模量的影响。首先给出了在夹杂和基体均为各向异性的情况下 ,夹杂平行分布和随机取向分布时复合材料有效弹性模量的计算公式。进而比较了无限长的纤维、半径无限大的薄片以及椭球状夹杂等典型的增强相形状对弹性模量的影响规律。在夹杂平行分布时 ,薄片和纤维导致相同的最大弹性模量 ,而在取向随机分布时 ,薄片的增强效果更明显。长短轴之比小于

Mechanical properties such as strength and stiffness of composites show strong dependence on the shape of the reinforcing phase. By using the Mori Tanaka method and the Wapole's tensor calculation rules, the effective moduli are derived in explicit forms for some typical inclusions including fibers of infinite length, flakes of infinite radius, and spheroids, which may be aligned or uniformly distributed in orientation. The results are convenient for engineering applications.