岩石节理剪切力学特性的非线性理论模型研究

doi:10.13722/j.cnki.jrme.2021.0661

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摘要针对人工节理试样开展不同法向应力条件下的直剪试验，基于试验结果的非线性特征，对Goodman线性剪切模型进行改进，提出一种更接近实际情况的非线性全量剪切模型，该模型大部分参数均可从试验数据获取，并能准确描述节理剪切过程中剪切应力与剪切位移之间的非线性关系。借鉴Saeb和Amadei切向与法向耦合刚度系数的计算方法，结合提出的非线性全量剪切模型，推导出可以反映节理剪切非线性特性的切向耦合刚度系数表达式，并建立基于非线性力学行为的节理增量剪切模型，该增量模型可以对节理的切向和法向变形行为同时进行描述。在常法向应力边界和常法向刚度边界条件下分别对增量剪切模型进行编程求解。将全量模型的计算值与已有直剪试验结果进行对比分析，两者吻合得很好，验证提出的全量模型的准确性与可靠性。分别考虑常法向刚度和常法向应力两种边界条件，将增量模型模拟值与已有的试验结果及Saeb-Amadei模型进行对比分析，增量模型计算的剪应力与试验结果吻合得更好，说明提出的增量模型比Saeb-Amadei模型准确度更高；增量模型计算的法向应力、法向位移与试验值大体上吻合，总体上可以反映节理剪切的法向力学行为，说明增量模型可以较好地反映节理试样剪切过程中的切向和法向变形行为，验证了增量模型在不同边界条件下的适宜性。

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	申辉1
	2
	刘亚群1
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	刘博1
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	李海波1
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	吴多华1
	2
	彭勃1
	2

关键词 ：岩石力学, 岩石节理, 力学特性, 非线性模型, 常法向刚度, 常法向应力

Abstract：Direct shear tests on artificial joint specimens under different normal stress conditions were carried out. Based on the nonlinear characteristics of the experimental results，the linear Goodman shear model was modified，and a nonlinear full-scale shear model was proposed. Most parameters of the model can be obtained from experimental data. The new model can accurately describe the nonlinear relationship between the shear stress and the shear displacement during joint slipping. Referring to the method of determining tangential and normal coupling stiffness coefficients proposed by Saeb and Amadei，a new mathematical formula of the tangential coupling stiffness coefficient，which can describe the nonlinear characteristics of joint slipping，was deduced on the basis of the proposed nonlinear full-scale shear model. A novel incremental shear model was then established. The new model can simultaneously simulate the tangential and normal deformation behaviors of the joints. The incremental shear model was respectively solved by computer programming under the boundary conditions of constant normal load(CNL) and constant normal stiffness(CNS). The results obtained by the nonlinear full-scale model were compared with the available laboratory results，showing an excellent consistency and verifying the suitability and reliability of the proposed full-scale model. Considering both the CNL and CNS boundary conditions，the simulation results of the proposed incremental model were compared with the available laboratory results as well as those of the Saeb-Amadei shear model. The shear stress obtained by the incremental model shows better agreement with the experimental results. It is indicated that the proposed incremental model is more appropriate than the Saeb-Amadei shear model in describing the shearing behaviors of joints. The normal stress and normal displacement calculated by the incremental model are in agreement with the experimental results，indicating the proposed model can generally illustrate the normal mechanical behavior of joint shearing. Therefore，the proposed incremental model can predict both the tangential and normal deformation behaviors of the joints during the shearing process，which verifies the applicability and reliability of the incremental model under different boundary conditions.

Key words： rock mechanics rock joints mechanical behaviours nonlinear model constant normal stiffness constant normal load

引用本文:

申辉1，2，刘亚群1，2，刘博1，2，李海波1，2，吴多华1，2，彭勃1，2. 岩石节理剪切力学特性的非线性理论模型研究[J]. 岩石力学与工程学报, 2021, 40(12): 2421-2433.
SHEN Hui1，2，LIU Yaqun1，2，LIU Bo1，2，LI Haibo1，2，WU Duohua1，2，PENG Bo1，2. Nonlinear theoretical model for describing shear mechanical behaviors of rock joints. , 2021, 40(12): 2421-2433.

链接本文:

http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2021.0661 或 http://rockmech.whrsm.ac.cn/CN/Y2021/V40/I12/2421

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