Boiko Yuri, Marikhin Vyacheslav, Myasnikova Lyubov'
Laboratory of Physics of Strength, Ioffe Institute, 26 Politekhnicheskaya Str., St. Petersburg 194021, Russia.
Polymers (Basel). 2022 Jul 12;14(14):2841. doi: 10.3390/polym14142841.
This work addresses the following problem: which of the statistical approaches, Weibull's or Gaussian, is more appropriate to correctly describe the statistical distributions of the mechanical properties of the high-performance polymer materials of different sample types (single or multifilament oriented fibers) and chain architectures (ultra-high-molecular-weight polyethylene, polyamide 6, or polypropylene)? Along with the routine mechanical properties such as strength, strain at break, and Young's modulus, an apparent viscoelastic modulus and an apparent strain at break found when differentiating the stress-strain curves have been considered for the first time. For this purpose, a large sample number (50 in each series) has been tested. It has been shown that the values of the Weibull's modulus () characterizing the data scatter were dependent both on the chain architecture and the sample type for the five elastic, viscoelastic and fracture characteristics analyzed. The Weibull's model has been found to be more correct as compared to the Gaussian one. The different statistical approaches used for the analysis of the large arrays of the data are important for a better understanding of the deformation and fracture mechanisms of quasi-brittle and quasi-ductile high-performance polymer materials.
在正确描述不同样品类型（单丝或复丝取向纤维）和链结构（超高分子量聚乙烯、聚酰胺6或聚丙烯）的高性能聚合物材料力学性能的统计分布时，哪种统计方法（威布尔方法或高斯方法）更为合适？除了强度、断裂应变和杨氏模量等常规力学性能外，首次考虑了在区分应力-应变曲线时发现的表观粘弹性模量和表观断裂应变。为此，测试了大量样本（每个系列50个）。结果表明，在所分析的五种弹性、粘弹性和断裂特性方面，表征数据离散度的威布尔模量（）值既取决于链结构，也取决于样品类型。与高斯模型相比，威布尔模型被发现更为正确。用于分析大量数据阵列的不同统计方法对于更好地理解准脆性和准延性高性能聚合物材料的变形和断裂机制很重要。
