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Strength analysis of unidirectional composites to explain fiber bundle splitting
Advanced Composite Materials ( IF 2.9 ) Pub Date : 2019-12-25 , DOI: 10.1080/09243046.2019.1704468
I. Taketa 1 , T. Takehara 1 , L. Gorbatikh 2 , S. V. Lomov 2 , I. Verpoest 2
Affiliation  

This paper proposes a 0° tensile strength prediction model for unidirectional composites with a low interfacial strength or low matrix yield stress applied to carbon fiber reinforced polypropylene. First, a critical dimension of broken fiber cluster in the presence of splitting is formulated using the principles of fracture mechanics. Based on the geometry of fiber packing, a relation between the rate of fiber breakage and the probability distribution of the cluster dimension is derived. Lastly, the assumption that the cross-sectional area separated by splitting sustains no load is used as a discounting factor to reduce the tensile stress in the unidirectional composites and the stress–strain relation is then predicted. The discounting factor is calculated by comparing the probability distribution for the cluster dimensions estimated from the rate of fiber breakage with that of the critical cluster dimension, both of which are functions of fiber stress. When the interfacial toughness related to the critical cluster dimension is estimated from the single-fiber pull-out test and substituted into this model, the predicted tensile strengths are in good agreement with the experimental results.

中文翻译:

单向复合材料的强度分析以解释纤维束分裂

本文提出了一种应用于碳纤维增强聚丙烯的具有低界面强度或低基体屈服应力的单向复合材料的 0°拉伸强度预测模型。首先,使用断裂力学原理制定了存在分裂时断裂纤维簇的临界尺寸。基于纤维堆积的几何形状,推导出纤维断裂率与簇维概率分布之间的关系。最后,假设通过劈裂分离的横截面积不承受载荷被用作减少单向复合材料中拉伸应力的折现因子,然后预测应力-应变关系。折扣因子是通过比较根据纤维断裂率估计的簇尺寸的概率分布与临界簇尺寸的概率分布来计算的,这两者都是纤维应力的函数。当与临界簇尺寸相关的界面韧性从单纤维拔出试验估计并代入该模型时,预测的拉伸强度与实验结果非常吻合。
更新日期:2019-12-25
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