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投稿时间:2025-06-20 修订日期:2025-07-30
投稿时间:2025-06-20 修订日期:2025-07-30
中文摘要: 针对深部巷道围岩稳定性分析中传统强度准则未考虑中间主应力及剪胀性的问题,基于 Drucker-Prager(D-P)屈服准则,建立了考虑剪胀性的围岩弹塑性解析模型。通过引入中间主应力系数(s)量化三向应力状态,结合非关联流动法则定义塑性区与破裂区扩容系数,推导了弹性区、塑性残余区及破裂区的应力-应变表达式与分区半径解析解。采用 SHAP(Shapley Additive exPlanations)值方法,量化分析了中间主应力系数、剪胀角等12个参数对塑性区半径(Rp)和破裂区半径(Rz)的影响程度及非线性特征。结果表明:中间主应力系数对分区半径的影响呈非线性,在0.4-0.8区间影响稳定;塑性区剪胀角主要促进塑性区扩展并抑制破裂区发展;破裂区剪胀角对破裂区半径的影响受多因素耦合调控。SHAP分析揭示塑性区内摩擦角、原岩应力和开挖半径是影响分区半径的关键参数,其重要性显著高于弹性模量、泊松比等物理参数。研究成果为深部巷道围岩稳定性分析提供了考虑多物理场耦合的理论模型,且 SHAP 方法为复杂岩土工程参数敏感性分析提供了新途径。
中文关键词: Drucker-Prager 屈服准则 中间主应力系数 剪胀性 SHAP分析 围岩稳定性
Abstract:Aiming at the problem of traditional strength criteria not considering intermediate principal stress and shear dilation in the stability analysis of deep roadway surrounding rock, a rock elastoplastic analytical model considering shear dilation was established based on Druck er Prager (D-P) yield criterion. By introducing the intermediate principal stress coefficient (s) to quantify the three-dimensional stress state, and combining the non correlated flow rule to define the expansion coefficients of the plastic zone and the fracture zone, the stress-strain expressions and partition radius analytical solutions for the elastic zone, plastic residual zone, and fracture zone were derived. The SHAP (Shapley Additive exPlans) value method was used to quantitatively analyze the influence and nonlinear characteristics of 12 parameters, including the intermediate principal stress coefficient and dilatancy angle, on the plastic zone radius (Rp) and fracture zone radius (Rz). The results indicate that the influence of the intermediate principal stress coefficient on the partition radius is nonlinear, with stable effects in the range of 0.4-0.8; The shear dilation angle in the plastic zone mainly promotes the expansion of the plastic zone and inhibits the development of the fracture zone; The influence of the shear dilation angle of the rupture zone on the radius of the rupture zone is controlled by multiple coupled factors. SHAP analysis reveals that the friction angle, original rock stress, and excavation radius within the plastic zone are key parameters affecting the zone radius, and their importance is significantly higher than physical parameters such as elastic modulus and Poisson"s ratio. The research results provide a theoretical model considering the coupling of multiple physical fields for the stability analysis of surrounding rock in deep tunnels, and the SHAP method provides a new approach for sensitivity analysis of complex geotechnical engineering parameters.
keywords: Drucker-Prager yield criterion intermediate principal stress coefficient dilatancy SHAP analysis surrounding rock stability
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| Author Name | Affiliation | |
| Han Lei | Chuzhou Tongxin Mining Co.,Ltd. | biaohao12025@163.com |
| Bu Yufeng | Chuzhou Tongxin Mining Co.,Ltd. | huishang777@126.com |
引用文本:
韩磊,卜玉峰.基于D-P屈服准则考虑剪胀性的深部围岩弹塑性解析及其敏感性SHAP分析[J].有色金属(矿山部分),2026,78(1):173-183.
Han Lei,Bu Yufeng.Elastic plastic analysis and sensitivity SHAP analysis of deep surrounding rock considering shear dilationbased on D-P yield criterion[J].NONFERROUS METALS(Mining Section),2026,78(1):173-183.
韩磊,卜玉峰.基于D-P屈服准则考虑剪胀性的深部围岩弹塑性解析及其敏感性SHAP分析[J].有色金属(矿山部分),2026,78(1):173-183.
Han Lei,Bu Yufeng.Elastic plastic analysis and sensitivity SHAP analysis of deep surrounding rock considering shear dilationbased on D-P yield criterion[J].NONFERROUS METALS(Mining Section),2026,78(1):173-183.

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