含大量随机分布细小纤维的单向纤维增强复合材料横向弹性性能参数计算的内嵌区域模型法

利用有限元方法求取单向纤维增强复合材料的横向弹性性能参数的计算模型包括三维模型、两维平面应变模型、单胞模型等等.由于单胞模型仅仅适用于纤维规则排列情况.在纤维随机分布且纤维大小亦为随机时,单向纤维增强复合材料横向弹性性能参数必须通过对于复合材料块体的计算才能获得.同时在随机分布纤维的数量增大时,三维模型和二维平面应变模型的计算量急剧增加,模型的处理能力不强.该文提出一种利用内嵌区域模型来计算含大量随机大小、随机分布细小纤维的单向纤维增强复合材料块体的横向弹性性能参数的方法,有效降低了计算量.在较低的计算费用下,能够快速获得单向纤维增强复合材料的横向弹性性能参数.

THE EMBEDDED-ZONE MODEL OF COMPUTING THE TRANSVERSE ELASTIC PROPERTIES OF UNIDIRECTIONAL FIBER-REINFORCED COMPOSITE EMBEDDED A GREAT AMOUNT OF STOCHASTICALLY-DISTRIBUTING FINE FIBERS

The finite element method(FEM) model of computing the transverse elastic properties of unidirectional fiber-reinforced composites included three-dimension,two-dimension plain strain,and representative volume cell models and so on.But representative volume cell is only used on the condition in which the fibers are arranged regularly.When fibers are embedded stochastically in matrix or the sizes of fibers are different,the transverse elastic properties of unidirectional fiber-reinforced composite must be gained by computing the elastic parameters of the block composite.And when the amount of the stochastically-distributing fiber increases,the computational work of three-dimensional and two-dimensional plane stain models increase sharply.So the processing capacity of three-dimensional and two-dimensional plane strain models is not stronger.The paper proposes a sort of embedded-zone model to compute the transverse elastic properties of the block of unidirectional fiber-reinforced composite embedded a great amount of size-and distributing-stochastically fine fibers.This method decreases the computational work effectively and makes the transverse elastic properties of unidirectional fiber-reinforced composite gained rapidly.