混杂纤维复合材料轴向剪切模量的预测

Prediction of Axial Longitudinal Shear Modulus of Multiphase Fiber Composites

为混杂纤维复合材料有效轴向模量的计算发展了一个能够考虑纤维截面影响的广义自洽模型 :即假定各相纤维的共焦点椭圆柱体细观单元嵌在同一宏观上均匀化的复合材料中 .利用解析函数的保角变换与罗朗级数展开 ,获得了相应问题的封闭解 .根据复合材料平均应力与应变关系 ,获得了预测有效轴向模量的形式简单的代数方程 .当各相纤维模量相同时 。

A generalized self-consistent model to predict the effective longitudinal shear modulus of multiphase fiber composites was developed, by considering the effect of fiber section shape. In the model, combined confocal elliptical cylinder unit cells are embedded in an infinite homogenization composite. By using conformal mapping technique and Laurent series expansion, a close form solution was obtained. Further a group of algebraic equations to predict effective longitudinal shear modulus of multiphase fiber composites were obtained by virtue of the averaged stress-strain theorem. When the shear moduli of all fibers are same, the above equations can be reduced to those for single phase fiber reinforced composites. The validity of the proposed model was verified by comparing present theoretical predictions with available experimental results.