基于双参数Weibull分布的短切碳纤维混凝土抗冲击性能评估

Evaluation of Low-Speed Impact Resistance of Short-Cut Carbon Fiber Concrete

  • 摘要: 普通混凝土因抗拉强度低、脆性大、易开裂而制约其在高韧性工程中的推广。短切碳纤维虽可显著改善其力学性能,但配比优化及动态抗冲击机理仍缺乏系统研究。本研究以聚丙烯酸钠(PAAS)作分散剂,将图像分析与邻近距离统计相结合,量化评价碳纤维分散均匀性,确定PAAS最佳掺量为碳纤维质量的8%,并据此优化水胶比。基于双参数Weibull分布,系统考察了0~2%(体积分数)碳纤维掺量及不同失效概率下混凝土的初裂冲击次数 N_1 与终裂冲击次数 N_2 。结果表明:Weibull模型可准确描述碳纤维混凝土抗冲击性能的概率特征;当掺量低于1.4%时, N_1 、 N_2 随掺量增加而显著提高,0.8%~1.1%区间初裂抗冲击性能增强率 \delta _r 增长最快,1.4%掺量时 \delta _r 提升160%;超过1.4%后增强效应趋于饱和甚至下降。本研究提出的“分散性–掺量–韧性”协同设计方法,为短切碳纤维混凝土的工程化应用提供了理论依据与实用参考。

     

    Abstract: The widespread application of ordinary concrete in high-toughness engineering is limited by its low tensile strength, high brittleness, and propensity for cracking. Although short-cut carbon fibers can significantly enhance its mechanical properties, systematic research on mix proportion optimization and the dynamic impact resistance mechanism remains lacking. In this study, sodium polyacrylate (PAAS) was used as a dispersant. Combining image analysis with nearest-neighbor distance statistics, we quantitatively evaluated the dispersion uniformity of carbon fibers, determining the optimal PAAS dosage to be 8% of the carbon fiber mass. Based on this, the water-to-binder ratio was optimized. Systematically investigating the initial crack impact count ( N_1 ) and final failure impact count ( N_2 ) of concrete with 0~2% (by volume) carbon fiber content and under different failure probabilities, we utilized the two-parameter Weibull distribution. The results indicate that the Weibull model accurately describes the probabilistic characteristics of the impact resistance of carbon fiber-reinforced concrete. When the fiber content is below 1.4%, both N1 and N2 increase significantly with higher fiber content. The enhancement rate ( \delta _r ) of the initial crack impact resistance exhibits the most significant increase within the 0.8%~1.1% fiber content range. At 1.4% fiber content, the enhancement rate ( \delta _r ) increased by 160%. Beyond 1.4%, the reinforcing effect tends to saturate or even decrease. The proposed synergistic design methodology focusing on dispersion uniformity–fiber content–toughness' provides a theoretical basis and practical reference for the engineering application of short-cut carbon fiber-reinforced concrete.

     

/

返回文章
返回