Analysis of Correlation Between Fiber Breaking Strength and Size Based on Generalized Two-Parameter Weakest Chain Statistical Model

ZHU Yuyang; ZHAI Jianguang; GAO Chun; LU Huiqin

Volume 35 Issue 1

Mar. 2021

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ZHU Yuyang, ZHAI Jianguang, GAO Chun, LU Huiqin. Analysis of Correlation Between Fiber Breaking Strength and Size Based on Generalized Two-Parameter Weakest Chain Statistical Model[J]. Journal of Shanghai University of Engineering Science, 2021, 35(1): 28-32.

Citation:

ZHU Yuyang, ZHAI Jianguang, GAO Chun, LU Huiqin. Analysis of Correlation Between Fiber Breaking Strength and Size Based on Generalized Two-Parameter Weakest Chain Statistical Model[J]. Journal of Shanghai University of Engineering Science, 2021, 35(1): 28-32.

Citation:

ZHU Yuyang, ZHAI Jianguang, GAO Chun, LU Huiqin. Analysis of Correlation Between Fiber Breaking Strength and Size Based on Generalized Two-Parameter Weakest Chain Statistical Model[J]. Journal of Shanghai University of Engineering Science, 2021, 35(1): 28-32.

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Analysis of Correlation Between Fiber Breaking Strength and Size Based on Generalized Two-Parameter Weakest Chain Statistical Model

School of Materials Engineering, Shanghai University of Engineering Science, Shanghai 201620, China

Received Date: 2020-09-25
Publish Date: 2021-03-30

Abstract

Abstract

In order to explore the correlation between fiber breaking strength and size, an improved generalized two-parameter weakest chain statistical model was used to uniformly process the breaking strength data of polyacrylonitrile-based (PAN-based) carbon fiber and jute fiber under different gauge lengths. An exponential parameter β was introduced to characterize the degree of deviation between the actual spatial distribution of defects and the ideal uniform spatial distribution conditions. By taking fiber breaking strength and size as statistical parameters, the obtained fiber failure function can collectively reflect the influence of fiber breaking strength and size on the probability of fiber failure, and better describe the correlation between fiber breaking strength and size.
- size effect,
- fiber,
- spatial defect distribution,
- statistical model

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References(16)

References

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