北京航空航天大学学报 ›› 2002, Vol. 28 ›› Issue (3): 335-338.

• 论文 • 上一篇    下一篇

混杂纤维复合材料轴向剪切模量的预测

王晓军, 童中华, 蒋持平   

  1. 北京航空航天大学 飞行器设计与应用力学系
  • 收稿日期:2000-10-12 出版日期:2002-03-31 发布日期:2010-09-26
  • 作者简介:王晓军(1970-),女,安徽合肥人,硕士生,100083,北京.
  • 基金资助:

    国家自然科学基金资助项目(19972005); 航空科学基金资助项目(99G51002)

Prediction of Axial Longitudinal Shear Modulus of Multiphase Fiber Composites

WANG Xiao-jun, TONG Zhong-hua, JIANG Chi-ping   

  1. Beijing University of Aeronautics and Astronautics, Dept. of Flight Vehicle Design and Applied Mechanics
  • Received:2000-10-12 Online:2002-03-31 Published:2010-09-26

摘要: 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,所得方程退化为已有的预测单相纤维复合材料纵向剪切模量的代数方程.

Abstract: 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.

中图分类号: 


版权所有 © 《北京航空航天大学学报》编辑部
通讯地址:北京市海淀区学院路37号 北京航空航天大学学报编辑部 邮编:100191 E-mail:jbuaa@buaa.edu.cn
本系统由北京玛格泰克科技发展有限公司设计开发