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Research on piezoresistive effect and random model of carbon fiber bundle

Gong Yifei, Xie Zhiyu, Liu Jiarong, Chen Guanhao, Zhang Dawei

Archives of Civil and Mechanical Engineering

2023

Vol. 23, no. 2

art. no. e128, 2023

Carbon fibers and corresponding composites are being widely used in strengthening and repairing existing reinforced concrete structures. The piezoresistive effect of carbon fibers can be applied to self-monitor its stress and damage. However, rare piezoresistive models can be found in the literature considering the mesoscopic mechanism and material randomness of carbon fiber bundles to quantify the piezoresistive effect. The piezoresistive effect of carbon fiber bundles is mainly affected by the elastic deformation, breakage, and contact of filaments. In this paper, according to the analysis of these factors, a dynamic random equivalent parallel circuit model was established to quantify the piezoresistive effect of carbon fiber bundles during tension. With tensile results of 54 carbon fiber bundles, the uncertainties of filaments, such as the initial breakage, tensile breakage and contact change, were analyzed and their probability distributions were determined. The strength of filaments is subject to the Weibull distribution. Kolmogorov-Smirnov (K-S) test results show that the initial breakage ratio obeys a truncated lognormal distribution and the relative contact ratio change obeys a truncated normal distribution. Then Monte Carlo simulations were used to calculate the electrical resistance of carbon fiber bundles during tension. Comparing the simulated resistance with that of 15 verifying specimens, this piezoresistive model and calculation method is reliable and valid.