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 O F RANDOMLY ORIENTED FIBRE COMPOSITES

作　　者：区焕文 徐稳林 冼定国[1] 

机构地区：[1]香港理工学院应用物理系及材料研究中心

出　　处：《复合材料学报》1994年第4期55-60,共6页Acta Materiae Compositae Sinica

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。Numerical calculation of the elastic engineering constants of undirectional fibrecomposites based on an effective medium theory(EMT)￣[4]is here employed to find theYQung’s modulus of 2-dimensional as well as 3-dimensional randomly oriented fibrecomposites by a method of geometrical average over orientations due to Christensen&Waals￣[3].The results compare faverably with similar calculations based on theories ofHalpin-Tsai￣[8]and Christensen￣[7],and show good conformity with experimental data. Thus itis shown that EMT is applicable to the calculation of elastic properties of randomly orientedfibre composites.

关 键 词：等效介质理论 数值方法 随机取向 纤维复合材料 

分 类 号：TB332[一般工业技术—材料科学与工程]