Hierarchical scaling law for the strength of composite fibre bundles
Hierarchical scaling law for the strength of composite fibre bundles
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DOI：
10.1016/j.jmps.2013.02.004
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发表时间：
2013-06
影响因子：
5.3
通讯作者：
S. Pimenta;S. Pinho
中科院分区：
文献类型：
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作者：
S. Pimenta;S. Pinho
本文提出了复合纤维束纵向拉伸强度尺寸效应的分析模型。单个纤维的强度用威布尔分布来模拟，而基质(或纤维-基质界面)用理想塑性剪切滞后模型来表示。对层次束(束的束)的破坏过程进行了概率分析，从而得到了连续束的强度分布和特征长度之间的标度律。提出了一种有效的数值格式(基于渐近极限)，从而几乎瞬时得到了息票大小的束强分布。参数研究表明，纤维和基质的性质对纤维束强度都是至关重要的；不同尺度上的模型预测与文献中的实验结果进行了验证。
This paper presents an analytical model for size effects on the longitudinal tensile strength of composite fibre bundles. The strength of individual fibres is modelled by a Weibull distribution, while the matrix (or fibre–matrix interface) is represented through a perfectly plastic shear-lag model. A probabilistic analysis of the failure process in hierarchical bundles (bundles of bundles) is performed, so that a scaling law relating the strength distributions and characteristic lengths of consecutive bundle levels is derived. An efficient numerical scheme (based on asymptotic limits) is proposed, hence coupon-sized bundle strength distributions are obtained almost instantaneously. Parametric studies show that both fibre and matrix properties are critical for bundle strength; model predictions at different scales are validated against experimental results available in the literature.