基础理论与实验研究

非线性Mohr-Coulomb准则适用范围及其改进研究

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  • 1. 武汉科技大学 冶金矿产资源高效利用与造块湖北省重点实验室,湖北 武汉 430081;2. 中钢集团武汉安全环保研究院,湖北 武汉 430081
李斌,男,1988年生,博士研究生,主要从事岩石力学及采矿方法与工艺方面的研究工作

收稿日期: 2015-03-16

  网络出版日期: 2018-06-09

基金资助

国家自然科学基金资助项目(No.51074115);湖北省自然科学基金重点项目(No.2015CFA142)。

Application scope of nonlinear Mohr-Coulomb criterion and its modification

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  • 1. Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgic Mineral Resources, Wuhan University of Science and Technology, Wuhan, Hubei 430081, China; 2. Sinosteel Corporation Wuhan Safety and Environmental Protection Research Institute, Wuhan, Hubei 430081, China

Received date: 2015-03-16

  Online published: 2018-06-09

Supported by

This work was supported by the National Natural Science Foundation of China (51074115) and Hubei Provincial Natural Science Foundation of China (2015CFA142).

摘要

SINGH M为克服(Mohr-Coulomb M-C)准则只能线性表征岩石强度随围压变化这一局限性,在M-C准则的基础上添加一个修正项对其进行改进,提出非线性M-C准则。该准则认为,岩石在围压达到其单轴抗压强度时岩石就进入临界状态,此观点与部分岩石的试验结果有较大的出入,使得该准则的适用范围受到影响。为拓宽非线性M-C准则的适用范围,通过对其修正项的进一步改进,提出M-C准则修正一般表达式。应用11种岩石三轴试验数据对M-C准则修正一般表达式、非线性M-C准则和目前岩石力学界认为较好的双曲线型准则的精度进行比较,结果显示,M-C准则修正一般表达式对岩石三轴强度的拟合精度高于其他两种准则,且由岩石三轴试验强度的一致性更好。证明M-C准则修正一般表达式优于非线性M-C准则,且适用范围更广。

本文引用格式

李 斌 ,刘艳章 ,林坤峰, . 非线性Mohr-Coulomb准则适用范围及其改进研究[J]. 岩土力学, 2016 , 37(3) : 637 -646 . DOI: 10.16285/j.rsm.2016.03.004

Abstract

SINGH M proposed a nonlinear Mohr-Coulomb (M-C) criterion by adding a correction term to the original M-C criterion which could only linearly express rock strength variation with confining pressure. The nonlinear M-C criterion assumes that there is a critical state when the confining pressure reaches the uniaxial compressive strength of rock material, however it has a large discrepancy with some triaxial experimental results. In order to expand the application of the nonlinear M-C criterion, a general expression of M-C criterion is developed by further improving the correction term. A comparison among the general expression of M-C criterion, the nonlinear M-C criterion and the hyperbolic model is made by using triaxial data of 11 different kinds of rock. Analytical results show that the M-C criterion with the modified expression has a higher accuracy than the other two criteria. The strength values predicted by the generalized M-C criterion is consistent well with experimental values. Thus, the generalized M-C criterion has wider application than the nonlinear M-C criterion.
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