等效介质理论数值方法应用于随机取向纤维复合材料的杨氏模量

NUMERICAL EFFECTIVE MEDIUM THEORY CALCULATIONS OF THE YOUNG’s MODULUS OF RANDOMLY ORIENTED FIBRE COMPOSITES

Department of Applied Physics and Materials Research Centre Hong Kong Polytechnic, Hung Hom, Hong Kong

摘要

摘要: 本文运用了等效介质理论数值方法^[4],计算单向纤维增强复合材料的弹性常数,进而透过Christensen & Waals^[3]的一套平均公式,计算二维及三维随机取向纤维复合材料的杨氏模量,以探讨等效介质理论对此类材料的适用性.计算结果与基于Halpin-Tsai^[8]式及Christensen^[7]式的结果甚为相近,与实验值也有很好的符合.
- 等效介质理论数值方法 /
- 随机取向纤维复合材料 /
- 杨氏模量
Abstract: Numerical calculation of the elastic engineering constants of unidirectional fibre composites based on an effective medium theory (EMT)^[4] is here employed to find the Young's modulus of 2-dimensional as well as 3-dimensional randomly oriented fibre composites by a method of geometrical average over orientations due to Christensen & Waals^[3].The results compare faverably with similar calculations based on theories of Halpin-Tsai^[8] and Christensen^[7],and show good conformity with experimental data.Thus it is shown that EMT is applicable to the calculation of elastic properties of randomly oriented fibre composites.
- numerical effective medium theory calculations /
- randomly oriented fiber composites /
- Young’s modulus