纤维体积分数对单向纤维增强复合材料中应力传递影响的研究
A Study of the Effect of Volume Fraction on Stress Transfer within a Unidirectional Fiber Reinforced Composite Having a Broken Fiber
摘要：
任何材料中由于缺陷引起的应力集中都是非常危险的。因此，在材料的实际应用之前，对其的理解非常重要。随着纤维增强复合材料（FRC）的广泛应用，有必要对其进行应力集中分析。研究表明，纤维混凝土的破坏是一个累积过程。如果一根纤维断裂，则在断裂附近产生应力集中，从而导致其附近的其他纤维断裂。这个过程一直持续到整个FRC失败。这种现象通过称为应力传递系数（STC）的参数来量化。为了分析FRC，通常实践中分析代表体积元素（RVE），其是完整FRC的表示。在分析FRC时考虑的另一个重要方面是纤维的分布。理想情况下，纤维的分布应该是均匀的，但没有工艺过程保证均匀分布。因此，在分析FRC时，用随机分布的纤维生成RVE是一个很好的做法。本文试图得到体积分数与STC之间的关系。考虑了单向纤维取向的FRC。分析了不同体积分数的RVE。实现了一种新的方法来产生随机分布的纤维RVE。RVE是这样产生的，它包含一个在其几何中心的断裂纤维和其他纤维围绕它。
英文摘要：
Stress concentration due to flaws in any material are very dangerous. Its understanding is thus very important before practical application of the material. As Fiber Reinforced Composite (FRC) is gaining wide range of application it is necessary to analyze it for stress concentration as one of the parameter. Literature survey reveals that the failure of FRC due to breakage of fiber is a cumulative process. If a fiber breaks stress concentration develops near the failure which leads to failure of other fibers in its vicinity. This process continues until the whole FRC gets failed. This phenomenon is quantified by a parameter called Stress Transfer Coefficient (STC). To analyze FRC generally it is practiced to analyze Representative Volume Element (RVE) which is a representation of the complete FRC. Another important aspect which is considered while analyzing FRC is the distribution of the fiber. Ideally the distribution of fibers should be uniform but no manufacturing process guarantees uniform distribution. Thus while analyzing FRC it is a good practice to generate RVE with randomly distributed fibers. In this paper an attempt is made to attain the relationship between volume fraction and STC. FRC with unidirectional fiber orientation is considered. RVEs with different volume fraction are analyzed. A new method is implemented to generate RVE with randomly distributed fibers. RVEs are so generated that it contains a broken fiber at its geometrical center and other fibers surrounding it. The RVE is loaded along the fiber direction.
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