基于分形特征的3D打印岩石结构面剪切特性研究

    RESEARCH ON THE SHEAR STRENGTH OF 3D PRINTED ROCK JOINTS BASED ON FRACTAL FEATURES

    • 摘要: 在以往大多数研究中,由于结构面形貌的多样性及试样数量有限,导致所获取的分形维数范围较小,在剪切力学行为中结构面所体现的分形差异并不明显。本文以标准差(σ)和分形维数(D)作为结构面形貌控制参数,生成随机粗糙结构面,通过常法向荷载(CNL)剪切试验探究不同分形特征结构面的剪切力学行为。根据生成结构面的几何特征,结构面整体起伏度随着标准差的增大而增大,起伏变化频率随着分形维数增加而增大。借助3D打印技术制备两种标准差、5种分形维数共10种结构面试样,采用TAJW-2000岩石三轴剪切流变试验机开展剪切试验。结果表明,在恒定法向应力下,结构面抗剪强度随分形维数的增加而增大,而标准差越大,抗剪强度增大的幅度则越大;随着剪切速率增大,结构面抗剪强度降低;分析基于剪切速率定义的不同标准差结构面的抗剪强度比(ηv)随分形维数增加的变化规律,发现速率变化对形貌复杂的结构面影响更为显著。残余强度随法向应力的增加而增大;当标准差较大时,剪切速率增加,残余强度有明显降低,尤其在高法向应力下,降低的幅度更为显著。基于各粗糙结构面的具有方向特征的一阶导数均方根Z2与抗剪强度的幂函数关系,提出在不同剪切速率条件下,考虑法向应力、Z2的结构面抗剪强度预测模型。

       

      Abstract: In the majority of previous research, the limited diversity of joint surface morphologies and the restricted number of samples have resulted in a narrow range of obtained fractal dimensions. As a consequence, the fractal differences manifested in the shear mechanical behavior of rock joints have not been prominently evident. The current paper utilizes standard deviation(σ) and fractal dimension(D)as controlling parameters to generate randomly rough joints and investigates the shear mechanical behavior of joints with different fractal characteristics through Constant Normal Load(CNL)shear tests. Based on the geometric characteristics of the generated rock joints, the overall variability of jointing increases with the augmentation of standard deviation, while the frequency of variability fluctuations amplifies with the increase in fractal dimension. Utilize 3D printing technology was employed to fabricate ten different joint surface specimens, consisting of two standard deviations and five fractal dimensions. Shear tests were carried out using the TAJW-2000 rock triaxial shear rheometer. The results indicate that, under constant normal load, the shear strength of the rock joints increases with the increase of fractal dimension. Moreover, larger standard deviation leads to a higher increase in shear strength. Additionally, as the shear rate increases, the shear strength of the rock joints decreases. Through the analysis of the variation in shear strength ratio(ηv)with increasing fractal dimension for different standard deviation joints defined based on shear rates, it was observed that the shear strength ratio exhibits a decreasing trend as the fractal dimension increases. The impact of rate variation on the morphology of complex jointing is found to be more pronounced. The residual strength increases with the increase of normal stress. When the standard deviation is relatively large and the shear rate increases, there is a noticeable reduction in the residual strength, especially under high normal stress, the significant reduction will be observed. Based on the power-law relationship between the directional root-mean-square of the first derivative of each rough rock joint(Z2) and the shear strength, a predictive model for the shear strength of the rock joints under different shear rate conditions is proposed.

       

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