聚类分析橡胶炭黑填充量与Yeoh模型参数的关联

doi:10.19894/j.issn.1000-0518.200323

摘要/Abstract

摘要： 为了探索橡胶炭黑填充量和Yeoh模型参数的关联,提出一种利用聚类分析对不同填充量参数的分类方法。本方法基于三参数Yeoh模型拟合炭黑填充橡胶的单轴拉伸应力应变曲线,从而得到3个准确描述力学性能的参数C₁₀、C₂₀和C₃₀。利用聚类的方法对参数进行无监督分类,聚类数设置为3~8,以探究不同类别对结果的影响。结果表明,所有类别的准确率均在60%以上,其中聚5类时填充分数划分最均匀,准确率达到84%,验证了利用聚类分析模型参数对不同炭黑填充量分类方法的可行性,即已知炭黑填量时就能够预测本构模型参数,给出相应的应力应变曲线。

关键词: 炭黑填充橡胶, 超弹性, 本构模型, 聚类分析

Abstract: In order to explore the correlation between carbon black filling amount and Yeoh model parameters, this paper proposes a classification method of different filling amounts by cluster analysis. Based on the three-parameter Yeoh model, the uniaxial tensile stress-strain curves of carbon black filled rubbers are fitted, and three parameters C₁₀, C₂₀ and C₃₀ are obtained. The cluster method is used to classify the parameters unsupervised, and the number of clusters is set at 3~8 to explore the influence of different categories on the results. The results show that the accuracy of all categories is above 60%, and the filling fraction is the most uniform when clustering into five categories, and the accuracy rate is up to 84%. The feasibility of using cluster analysis to classify different carbon black filling amounts is verified, and the parameters of the constitutive model can be predicted and the corresponding stress-strain curve can be obtained when the carbon black content is fixed.

Key words: Carbon black-extended rubber, Superelasticity, Constitutive model, Cluster analysis

中图分类号:

O631

杜康, 周恒为, 丁明明, 叶峰, 石彤非. 聚类分析橡胶炭黑填充量与Yeoh模型参数的关联[J]. 应用化学, 2021, 38(6): 675-684.

DU Kang, ZHOU Heng-Wei, DING Ming-Ming, YE Feng, SHI Tong-Fei. Cluster Analysis of Correlation Between Rubber Carbon Black Filling and Yeoh Model Parameters[J]. Chinese Journal of Applied Chemistry, 2021, 38(6): 675-684.

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