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中国物理学会期刊

团簇状缺陷对纤维束断裂过程的影响

CSTR: 32037.14.aps.70.20210310

Influence of cluster shaped defects on fracture process of fiber bundle

CSTR: 32037.14.aps.70.20210310
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  • 材料内部缺陷对复合材料的拉伸断裂性质有着极其重要的影响. 纤维束模型是研究材料拉伸断裂性质常用的理论模型, 已有含缺陷纤维束模型的工作表明, 在纤维束模型中引入单纤维缺陷后, 缺陷对模型拉伸断裂性质产生了显著影响. 为研究实际材料内部存在的不同尺寸及损伤程度的缺陷, 本文引入缺陷的空间尺寸、缺陷程度和缺陷内部纤维损伤程度分布等影响因素, 构建了含团簇状缺陷的扩展纤维束模型. 在最近邻应力再分配下, 通过数值模拟分析了缺陷个数α、缺陷尺寸上限β和缺陷内部纤维缺陷程度的线性、指数和常数函数分布形式对复合材料断裂过程的影响. 分析发现, 由于缺陷空间分布存在的重叠竞争机制, 在缺陷尺寸上限β较大时, 缺陷个数对系统负载能力的影响具有饱和的趋势. 而由于缺陷中心纤维的缺陷程度正比于缺陷尺寸, 因此随着缺陷尺寸上限β的增加, 其对模型负载能力的影响越来越显著. 缺陷内部纤维缺陷程度的空间分布函数对以上规律没有产生实质影响, 仅改变了各断裂性质的具体取值. 本文的模拟分析结果对提高复合材料的力学性能具有一定的理论意义.

     

    Defects that exist inside composites have an important effect on the tensile fracture properties of composites. The fiber bundle model is a theoretical model commonly used to study the tensile fracture properties of disorder materials. Existing work on fiber bundle models with single fiber defects shows that after single fiber defects are introduced into the fiber bundle model, the defects have a significant effect on the tensile fracture properties of the model. Since there are more complex microscopic defect structures in actual materials, such as voids, gaps, impurities, dislocations, micro-cracks, etc, it is necessary to build a multi-size defect model. In order to study the defects of different sizes and damage degrees existing in actual materials, the spatial size of the defect, the degree of defect and the distribution of fiber damage levels within the defect and other influencing factors are introduced to construct an extended fiber bundle model with cluster shaped defects. For the model, it is first assumed that the degree of defect of the fiber inside each cluster decays linearly from the center to the outside in two spatial attenuation forms: exponential decay and constant degree of defect. In the fiber bundle model of this cluster-shaped defect, the two most important factors are the number of defects α and the upper limit of defect size β. The numerical simulation method is used to analyze the influence of the number of defects, the upper limit of defect size, and spatial distribution of degree of defective fibers inside defect on the macroscopic mechanical properties and statistical properties of fracture when the model is subjected to quasi-static load borne under the nearest neighbor stress redistribution. Through the simulation analysis, it is found that owing to the overlapping competition mechanism of the defect spatial distribution, when the upper limit β of the defect size is large, the influence of the number of defects on the system load capacity trends to saturation. Since the defect degree of the defect center fiber is proportional to the defect size, with the upper limit β of the defect size increasing, its influence on the load capacity of the model becomes more and more significant. When large size defects exist, even if the number of defects is small, the load bearing performance of the material will be significantly reduced. The spatial distribution function of the damage degree of fiber inside the defect has no substantial influence on the above rules, and only changes the specific value of each fracture property. The simulation analysis results in this paper have certain theoretical significance in improving the mechanical properties of composite materials.

     

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