Application scope of nonlinear Mohr-Coulomb criterion and its modification

LI Bin; LIU Yan-zhang; LIN Kun-feng

doi:10.16285/j.rsm.2016.03.004

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Application scope of nonlinear Mohr-Coulomb criterion and its modification

更新时间：2026-06-25

- Application scope of nonlinear Mohr-Coulomb criterion and its modification
- Vol. 37, Issue 3, Pages: 637-646(2016)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2016.03.004
  CLC： TU451
- Online First：09 June 2018，
  
  Published：2016
- 稿件说明：
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LI Bin, LIU Yan-zhang, LIN Kun-feng. Application scope of nonlinear Mohr-Coulomb criterion and its modification[J]. 2016, 37(3): 637-646.
DOI：

LI Bin, LIU Yan-zhang, LIN Kun-feng. Application scope of nonlinear Mohr-Coulomb criterion and its modification[J]. 2016, 37(3): 637-646. DOI： 10.16285/j.rsm.2016.03.004.

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。

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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