基于广义Hoek-Brown屈服准则的非线性弹塑性岩石(体)本构模型及其数值实现

doi:10.13722/j.cnki.jrme.2014.1525

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摘要 Hoek-Brown(H-B)屈服准则存在奇异性，在岩石(体)应力状态的低(拉)围压区存在低估岩石抗拉强度的现象。为了在数值计算中处理H-B屈服准则的奇异性，解决H-B屈服准则在低(拉)围压条件下低估岩石抗拉强度的问题，采用主应力回映算法和不同应力状态选取不同的mi常数的方法，建立基于H-B屈服准则和考虑岩石屈服前的非线性特性的本构模型；在Ls-dyna的自定义材料接口程序中利用Fortran对模型进行二次开发，通过删除单元的方法模拟岩石试件的破裂过程，实现带破坏模式的低围压条件下的模型精确数值求解，获得岩石单轴压缩与巴西劈裂的三维破坏形态；岩石单轴压缩实验、巴西劈裂实验和声发射实验的三种力学特性实验结果与模型数值计算结果比较表明，实验结果与数值计算结果吻合较好，模型及其算法有较高的准确性。

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关键词 ：岩石力学, Hoek-Brown屈服准则, 非线性弹塑性, 岩石本构模型, 数值实现

Abstract：In order to deal with the singularity of Hoek-Brown(H-B) yield criterion，a nonlinear elasto-plastic model based on the Hoek-Brown yield criterion was developed，where the stress was updated in the principal stress space and was mapped into general stress space，and the nonlinearity of elastic deformation was also taken into account. This method can serve as an accurate implementation of the Hoek-Brownyield criterion model. For the validation of the model，the user defined material(UMAT) code was redeveloped in Ls-dyna with Fortran programming language. With the building of 3D geometry of uniaxial compressive test model and Brazilian test model，the exact solution of the model based on H-B yield criterion including failure mode was implemented by deleting of elements whose effective plastic strain is up to a given value. Finally，the numerical results were compared with the experimental test and showed good agreement，which indicates a high accuracy of the presented model.

Key words： rock mechanics Hoek-Brown(H-B) yield criterion nonlinearity elasto-plasticity rock constitutive relations numerical implementation

引用本文:

舒才1，2，施峰1，2，胡国忠3，王宏图1，2. 基于广义Hoek-Brown屈服准则的非线性弹塑性岩石(体)本构模型及其数值实现[J]. 岩石力学与工程学报, 2016, 35(S1): 2627-2634.
SHU Cai1，2，SHI Feng1，2，HU Guozhong3，WANG Hongtu1，2. Development of nonlinear elasto-plastic constitutive model for rock based on Hoek-Brown yield criterion and its numerical implementation. , 2016, 35(S1): 2627-2634.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2014.1525 或 https://rockmech.whrsm.ac.cn/CN/Y2016/V35/IS1/2627

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