岩石真三轴强度与Mohr-Coulomb准则形状函数修正方法研究

doi:10.13722/j.cnki.jrme.2015.0119

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摘要基于颗粒流理论和PFC3D程序，建立Lac du Bonnet花岗岩的BPM模型，施加周期性边界条件。通过使周期性空间扭曲变形，保持恒定的平均应力和Lode角，进行真三轴试验，提出一种修正Mohr-Coulomb准则形状函数的新方法。建立试样的三维强度包络面，并从三轴平面、双轴平面和平面3个角度，探讨Mohr-Coulomb准则的局限性：(1) Mohr-Coulomb准则预测的单轴抗拉强度偏大。(2) Mohr-Coulomb准则未考虑中间主应力的影响。(3) Mohr-Coulomb准则适用范围有限，在范围内，Mohr-Coulomb准则强度偏于保守。探索中间主应力对岩石强度的影响规律，结果表明：当处于低值时，随的增大而增大，而后达到了“平台期”；当处于更高应力状态时，随的增大而减小。通过考虑中间主应力的影响，将Mohr-Coulomb准则形状函数修正为关于平均应力的函数。将拟合的值与修正的Lade-Duncan准则预测值进行比较，结果表明，本文的修正方法比修正的Lade-Duncan准则能更准确地描述岩石的常规三轴强度，研究方法及结论可为岩石强度研究提供有益参考，且具有一定的实际工程意义。

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	张诗淮
	吴顺川
	吴昊燕

关键词 ：岩石力学, PFC3D, 真三轴试验, 三维破坏包络面, Mohr-Coulomb准则, 形状函数

Abstract：Based on particle flow theory and PFC3D software，a bonded particle model(BPM) for Lac du Bonnet granite is generated and periodic boundary condition is applied. True triaxial tests are conducted by distortion of the periodic space. Constant mean stressand constant Lode angleare maintained. A new method for modifying Mohr-Coulomb criterion shape function is proposed. The three-dimensional failure envelope of sample is determined to study the limitations of Mohr-Coulomb criterion from three aspects：triaxial plane，biaxial plane， plane. The limitations of Mohr-Coulomb criterion are as follows. (1) Uniaxial tension strength predicted by Mohr-Coulomb criterion is higher. (2) Mohr-Coulomb criterion ignores the impact of the intermediate principal stress on strength of rock. (3) In the range of ，strength prediction made by Mohr-Coulomb criterion is smaller. According to the results of numerical tests，impacts of the intermediate principal stress on strength of rock are researched. Results show that，there is a general increase inat the low level ofuntil a plateau is reached. Then value of decreases at a higher level of. After taking impacts of the intermediate principal stress into account，Mohr-Coulomb criterion shape function is modified as a function of mean stress，which can predict the strength of triaxial compression and extension more accurately by comparingobtained from the fitting formula and the modified Lade-Duncan criterion. The research method and conclusion of this paper can provide a useful reference to the study of rock strength and have some practical significance for the engineering project.

Key words： rock mechanics PFC3D true triaxial tests three-dimensional failure envelope Mohr-Coulomb criterion shape function

引用本文:

张诗淮，吴顺川，吴昊燕. 岩石真三轴强度与Mohr-Coulomb准则形状函数修正方法研究[J]. 岩石力学与工程学报, 2016, 35(S1): 2608-2619.
ZHANG Shihuai，WU Shunchuan，WU Haoyan. Study of true triaxial strength of rock and modified method of Mohr-Coulomb criterion shape function. , 2016, 35(S1): 2608-2619.

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https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2015.0119 或 https://rockmech.whrsm.ac.cn/CN/Y2016/V35/IS1/2608

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