Assessment of the adhesive strength of the fiber–polymer matrix system using the nonparametric bootstrap method

Sutubalov A.I., Podzhivotov N.Y., Shershak P.V., Yakovlev N.O.
Sutubalov A.I., Podzhivotov N.Y., Shershak P.V., Yakovlev N.O. Assessment of the adhesive strength of the fiber–polymer matrix system using the nonparametric bootstrap method // Proceedings of VIAM. 2024. No. 11. DOI: 10.18577/2307-6046-2024-0-11-100-112. URL: https://test.viam.ru/en/journal/2024/11/8
Keywords
micromechanical characteristics, micromechanics, adhesion, confidence intervals, interval estimation, parametric method, bootstrap method
Abstract

The article discusses the practical aspects of using the bootstrap method in micromechanics problems to assess the adhesive strength of the fiber–polymer matrix system. The article provides a detailed algorithm for constructing confidence intervals when calculating the bootstrap method. А comparative analysis of the interval estimation of experimental adhesive strength data using the nonparametric (bootstrap) method and a number of parametric methods was carried out. Based on the generated bootstrap samples, a histogram of the frequency distributions of the average values of the adhesive strength of the fiber–polymer matrix system is constructed.

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