ASYMPTOTIC HOMOGENIZATION OF ELASTIC COMPOSITE-MATERIALS WITH A REGULAR STRUCTURE
ASYMPTOTIC HOMOGENIZATION OF ELASTIC COMPOSITE-MATERIALS WITH A REGULAR STRUCTURE
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DOI：
10.1016/0020-7683(94)90108-2
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发表时间：
1994-02-01
影响因子：
3.6
通讯作者：
KALAMKAROV, AL
中科院分区：
文献类型：
--
作者：
MEGUID, SA;KALAMKAROV, AL
本文的目的是应用渐近均匀化技术来确定单向规则纤维增强复合材料的弹性行为。该解析解基于Muskhelishvili的复势函数，利用双周期魏尔斯特拉斯椭圆函数的级数展开式来预测复合材料的局部和整体平均性能。对平面和反平面弹性问题进行了详细的分析，并将结果应用于一些具有不同力学性能和体积分数的增强复合材料。与已有的极值估计和极限情形的比较也被考虑和讨论。
The objective of this paper is to apply the technique of asymptotic homogenization to determine the elastic behaviour of reinforced composite materials with unidirectional regular fibres. The analytical solution, which is based upon the complex potentials of Muskhelishvili, utilizes a series expansion of the doubly periodic Weierstrass elliptic functions to predict both the local and overall averaged properties of the composite material. Detailed analysis of both the plane and antiplane elastic problems are considered and the results are applied to a number of reinforced composites with varying mechanical properties and volume fractions. Comparison with existing extremal estimates and limiting cases of the properties are also considered and discussed.