Stochastic estimation of the number of fiber-break points in a CFRP by Markov process
Stochastic estimation of the number of fiber-break points in a CFRP by Markov process
复制标题
通过马尔可夫过程随机估计 CFRP 中的纤维断裂点数量
DOI：
10.1080/09243046.2020.1744227
复制
发表时间：
2020
影响因子：
2.9
通讯作者：
Y. Sawada
中科院分区：
文献类型：
--
作者：
K. Goda;Y. Sawada
提出了一种基于马尔可夫过程的单向纤维增强复合材料断裂点数目的随机估计模型。该模型依赖于这样的假设，即每个状态都按照纤维断裂点编号的顺序分配，并且从一个状态过渡到两个状态。两者的第一种状态是导致复合断裂的状态，另一种是在受损的同时存活的状态。用碳纤维和环氧树脂制备了2-4根纤维的微型复合材料，以检验模型的适用性。预测的失效概率曲线接近实验获得的数据与纤维断裂点的增加，并最终同意与他们。直到断裂的纤维断裂点估计与更大的数字比纤维的数量，这说明了高于平均纤维强度的实验结果的意义。最后讨论了考虑纤维断裂点附近应力集中时模型的有效性。
A stochastic model based on Markov process is proposed to estimate the number of fiber-break points of a unidirectional fiber-reinforced composite. This model relies on the assumption that each state is assigned in the order of the fiber-break point number, and that it transits to two states from one state. The first state of the two is a state causing a composite fracture, and another is a state of survival while being damaged. Mini composites with 2–4 fibers were prepared using carbon fiber and epoxy resin to examine the applicability of the model. Predicted failure probability curves approach experimentally obtained data with an increase in the fiber-break point and ultimately agree with them. The fiber-break points till fracture are estimated with greater numbers than the number of fibers, which elucidates the significance of the experimental results higher than the average fiber strength. The validity of the model was finally discussed while considering the stress concentration around fiber-break point(s).