WANG Xiaofei 1,2, QIU Haipeng 3, CHEN Mingwei 3, KANG Zhuang 1, ZHANG Cheng 2,WANG Xingang 1
(1. State Key Laboratory of High Performance Ceramics and Superfine Microstructure, Shanghai Institute of Ceramics, Chinese Academy of Sciences, Shanghai 200050, China; 2. School of Materials Science and Engineering, Shanghai Institute of Technology, Shanghai 201418, China; 3. AVIC Manufacturing Technology Institute, Beijing 100024, China)
Abstract: The shape parameters (m) and scale parameters (σ0) of the Weibull distribution of tensile strength of ceramic fibers can be used to estimate the dispersion of tensile strength and the service life of the fibers. It is relatively simple and convenient by using Matlab mathematical software to estimate the fiber tensile strength of Weibull parameters. This method does not need to master the basic algorithm and estimate Weibull modulus in advance. Meanwhile, the fitting results are accurate and easy to grasp. Using Matlab mathematical software, not only distribution tests can be carried out in each set of confidence intervals, but also numerical tables of various distributions can be made for testing. The tensile strength and distribution of Nextel 720 ceramic fibers were studied by using two-parameter Weibull statistical analysis and several different fitting methods. It is found that the tensile strength of 720 ceramic fibers can be analyzed with the two-parameter Weibull distribution, while the estimation of Weibull parameter with several fitting methods is reasonable. However, from the perspective of data convergence closer to the true value and the adoption of international standards and national standards of the United States, Europe and Japan, the optimal method is the estimation of the parameters of Weibull distribution.
Key words: tensile strength; weibull distribution; Matlab software; confidence interval; Nextel 720 ceramic fibers