具有纤维损伤的单向复合材料强度的统计分析

本文对随机扩大临界核统计模型进行了推广，使之适用于含在纤维损的单向纤维增强复合材料拉伸破坏的统计分析，基于复合材料的细观随机破坏机理，导出了含纤维损伤的复合材料的强度分布函数和相应的破坏准则，求出了理论统计强度值，结果表明，复合材料的强度随连续损伤纤维数及试样尺寸的增大而减小。

A STATISTICAL ANALYSIS OF THE STRENGTH FOR UNIDIRECTIONAL COMPOSITES CONTAINING DAMAGED FIBERS

This paper develops the randomly enlarging critical--core probability model so as to gear it to a statistical analysis of the tensile failure of unidirectionally fiber--reinforced composites containing damaged fibers. Based upon the micro--stochastic failure mechanisms of composites,the distribution functions for strength of composites containing damaged fibers and the corresponding failure criterions are derived and values of theoretically statistical strength are calculated. The results show that the strength of composites is reduced as the number of successively damaged fibers and the size of sample are increased.