单向短纤维增强复合材料的复模量

COMPLEX MODULI OF ALIGNED SHORT FIBER COMPOSITES

  • 摘要: 本文提出了单向短纤维增强复合材材纤维方向模量的一个计算模型.这个模型考虑了横向相邻纤维间以及纵向相接纤维间的相互作用.籍助于这一模型,根据粘弹性对应原理,本文用解析方法计算了单向短纤维增强复合材料的纤维方向复模量,着重分析了端部间隙对复模量的实部和虚部的影响.计算结果和文献中已有的计算结果和试验结果作了比较.

     

    Abstract: A model for the computation of the complex moduli iu the fiver direction of aligned short fiber reinforced composites is suggested in this paper. The usual model for such purpose is based on an analysis of an isolated elastic fiber embeded in the matrix.The pr went model takes into account the mutual effects of the transversely neighboring fibers and of the longitudinally adjacent fibers.The packing georr.etry of fiber is shown in Fig. 1. By solving the basic equations (4)-(6) under conditions (1)-(7),the stresses in the fiber and in the gap (filled with matrix) between the adjacent fibers can be determined. It can be shown that the average of the stress in an fiber (or in a gap) and the stress in any one of neighbors does not change with x.This average can then be used as the macroscopic Stress of fiber to calculate the elastic modulus of the composite .According to the correspondence priniple of viscoelasticity by replacing the elastic moduli of the fiber and the matrix by complex ones the above procedure will give the complex modulus of the compo site Feig,2 shows another packing geometry which is more close to that of test specimens made with prepregs. The. numerical results are depicted in Figs. 3-7,from which the following conclusions can be drawn 1)The storage modulus Eć decreases and the loss modulusEć increases rapidly with the gap size when the gap size is about or less than the size of fiber cross-section.The variations become slow when the gap size exceeds that range. 2) Aa shown in Fig. 6,when the fiber is long the gap size has no significant effect on the moduli.This means that the breakage of scme fibers in a continuous fiber reinforced composite has very little effect on the stiffness of the composite if the breakages do not occur on the sane crosssection. 3) The curves 4 in Fig.7 show that the packing geometry in Fig.2 gives an appreciably better agreement with experimental resuits.It proves the present model is an improvement upon the existing ones represented by the curves 1 and 2.

     

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