Abstract

A model is proposed for assessing the durability of a bundle of identical fibers under brittle fracture in a tensile stress region located to the left of the Griffiths fracture threshold. It is shown that, in a specified stress range, the average durability and the dispersion of durability values increase indefinitely with a decreasing tensile stress. Estimates are obtained for the incubation period of durability, its confidence probability, and the lower limit of the number of elements of a bundle of identical fibers that guarantee the required durability of the bundle.

中文翻译：

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基于脆性断裂热涨落模型的纤维束单轴拉伸耐久性预测

摘要

提出了一种模型，用于评估一束相同纤维在位于格里菲斯断裂阈值左侧的拉伸应力区域中脆性断裂时的耐久性。结果表明，在特定的应力范围内，平均耐久性和耐久性值的离散度随着拉应力的减小而无限增加。获得了耐久性潜伏期、其置信概率以及保证纤维束所需耐久性的相同纤维束的元件数量下限的估计值。