胡亚元, 王超. 多节理岩体的非线性耦合损伤本构模型[J]. 煤炭学报, 2019, 44(S1): 52-60. DOI: 10.13225/j.cnki.jccs.2018.0982
引用本文: 胡亚元, 王超. 多节理岩体的非线性耦合损伤本构模型[J]. 煤炭学报, 2019, 44(S1): 52-60. DOI: 10.13225/j.cnki.jccs.2018.0982
HU Yayuan, WANG Chao. Nonlinear coupling damage constitutive model for multi-jointed rock mass[J]. Journal of China Coal Society, 2019, 44(S1): 52-60. DOI: 10.13225/j.cnki.jccs.2018.0982
Citation: HU Yayuan, WANG Chao. Nonlinear coupling damage constitutive model for multi-jointed rock mass[J]. Journal of China Coal Society, 2019, 44(S1): 52-60. DOI: 10.13225/j.cnki.jccs.2018.0982

多节理岩体的非线性耦合损伤本构模型

Nonlinear coupling damage constitutive model for multi-jointed rock mass

  • 摘要: 为了研究节理和完整岩块各自属性及其相互作用对岩体本构特性产生的影响,考虑了节理和完整岩块力学参数在受荷过程中的动态变化,定量地分析了节理变形对完整岩块的耦合损伤作用,并采用整合节理和完整岩块本构方程的方法,建立了多节理岩体的非线性本构模型。首先由单一节理试验成果推导出节理的法向闭合、剪切和剪胀3类刚度表达式,组合成节理刚度矩阵,建立了参数随节理变形和节理应力变化的动态节理本构模型; 其次,在原有损伤模型的基础上,引入耦合损伤因子以考虑节理变形对完整岩块的弱化作用,还引入随主应变变化的完整岩块动态泊松比,建立新的完整岩块损伤本构模型; 再次,根据节理与完整岩块的空间分布,通过整合节理与完整岩块本构模型,获得多节理岩体的非线性耦合损伤本构模型; 最后,利用Fortran编制模型程序进行数值计算模拟,分析耦合损伤因子、完整岩块动态泊松比和动态节理刚度对岩体强度与变形的影响。结果表明:节理耦合损伤因子对完整岩块产生附加损伤而导致其强度降低,能较准确地预测试验反映的岩体峰值强度-节理面倾角变化曲线,并且削弱了岩体破坏时的抗变形能力; 考虑完整岩块动态泊松比的影响能反映岩体剪胀扩容现象; 与将节理视为线弹性体相比,考虑节理刚度的动态变化可以反映岩体应力应变非线性特性。

     

    Abstract: In order to study the influence of the properties and interaction of joints and intact rock on the constitutive properties of rock mass, the dynamic changes of mechanical parameters of joints and intact rock in the process of loading are considered, and the coupling damage effect of joint deformation on intact rock is quantitatively analyzed.The non-linear constitutive model of multi-jointed rock mass is established by using the method of integrating joints and intact rock mass constitutive equation.Firstly, the normal closure, shear and dilatancy expressions of joints are deduced from the results of single joint laboratory test and then the joint stiffness matrix is combined to establish the dynamic joint constitutive model whose parameters varies with joint deformation and joint stress.Secondly, on the basis of the original damage model, the coupling damage factor is introduced to consider the weakening effect of joint deformation on the intact rock, and the variable dynamic Poisson's ratio of intact rock changing with principal strain is also used to establish a new damage constitutive model of intact rock.Thirdly, according to the spatial distribution of joints and intact rock, the nonlinear coupling damage constitutive model for multi-jointed rock mass is presented through integrating joint and intact rock constitutive model.Finally, a numerical simulation is carried out through a Fortran program so as to analyze the influence of coupling damage factor, dynamic Poisson's ratio and dynamic joint stiffness on the strength and deformation of rock mass.Results demonstrate that the additional damage caused by the coupling damage factor of joints leads to the decrease of the strength of intact rock, which can accurately predict the peak strength-joint dip angle curve obtained through the laboratory test, and weaken the deformation resistance of the rock mass when it is damaged.Dynamic intact rock Poisson's ratio can reflect the dilatancy of rock mass.Compared with joints as linear elastomers, the nonlinear features of stress-strain of rock mass will be informed when considering the dynamic change of joint stiffness under loading.

     

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