Two analytical models for the study of periodic fibrous elastic composite with different unit cells

Two analytical models for the study of periodic fibrous elastic composite with different unit cells
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研究不同晶胞周期性纤维弹性复合材料的两种分析模型

DOI:
10.1016/j.compstruct.2010.08.008
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发表时间:
2011
影响因子:
6.3
通讯作者:
Jiang, C. P.
Jiang, C. P.
中科院分区:
工程技术1区
文献类型:
--
作者:
Rodriguez-Ramos, Reinaldo;Yan, P.;Lopez-Realpozo, Juan C.;Guinovart-Diaz, Raul;Bravo-Castillero, Julian;Sabina, Federico J.;Jiang, C. P.

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本文采用渐近均匀化方法(AHM)和特征函数展开-变分法(EEVM)对不同类型的双相纤维周期复合材料的有效弹性模量进行了计算。组分表现出横观各向同性性质。研究了纵向剪切作用下双周期圆柱形夹杂阵列。研究了不同几何排列单元的剪切弹性系数随纤维角度的变化规律。数值算例和与其它理论结果的比较表明,这两种方法(AHM和EEVM)都是分析含有菱形胞的复合材料的有效方法。观察了胞元结构对剪切有效特性的影响。
In this work, the effective elastic moduli of two-phase fibrous periodic composites are obtained by means of the Asymptotic Homogenization Method (AHM) and eigenfunction expansion-variational method (EEVM), for different types of parallelogram cells. The constituents exhibit transversely isotropic properties. A doubly periodic parallelogram array of cylindrical inclusions under longitudinal shear is considered. The behavior of the shear elastic coefficient for different geometry arrays of the cell related to the angle of the fibers is studied. Some numerical examples and comparisons with other theoretical results demonstrate that both methods (AHM and EEVM) are efficients for the analysis of composites with presence of rhombic cell. The effect of the configuration of the cells on the shear effective property is observed.
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