Abstract
A shear-lag model is presented in this paper for analysis of stress concentration of fibres adjacent to a crack in unidirectionally fibre-reinforced composites. The analytic expressions of stress concentration factors of fibres adjacent to the tip of a crack with r broken fibres are obtained by using this model. The maximum stress concentration factors of the fibre at the tip of the crack are calculated, and the numerical results show little difference with Hedgepeth's [1]. In addition, the concept of the effective stress concentration factor is used since shear-lag analysis overestimates stress concentration of fibres [2], and the affected length of a crack-tip fibre is defined by value of the stress concentration factor. The affected length has clear physical meaning and increases gradually with extension of the crack, which is in accord with the actual case. Finally, based on the previous investigation, statistical analysis of strength of unidirectionally fibre-reinforced composites is done by applying the method of the critical crack core model [3, 4]. The numerical results are close to the experimental results, and those obtained by using the effective stress concentration factors approach the experimental results most closely.
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Liangbo, D., Fuqun, F. Statistical analysis of failure of unidirectionally fibre-reinforced composites with local load-sharing. Int J Fract 59, 69–81 (1993). https://doi.org/10.1007/BF00032218
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DOI: https://doi.org/10.1007/BF00032218