【摘要】 针对平面应变条件下岩体锚固系统的破坏机理展开理论分析。通过整合广义非线性统一强度理论与极限分析上限定理，结合变分法原理，首次建立了包含速度间断线方程组的优化目标函数及锚杆破坏的机动许可速度场。基于该理论模型，系统研究了锚固体与围岩协同破坏模式下锚杆极限抗拔力的确定方法，并定量揭示了关键材料参数对承载性能的影响规律。数值计算结果表明：锚杆极限抗拔力与岩体材料参数(k、s、m)、单轴抗压强度及重度呈正相关关系，而与参数a呈负相关特征；特别地，当锚固段长度处于临界值范围内时，其长度的增加可显著提升锚杆抗拔承载力。研究建立的解析模型为深部岩体锚固工程设计提供了理论依据，所得参数敏感性规律对实际工程中锚杆支护参数的优化具有重要指导价值。更多还原

【Abstract】 Theoretical analysis was conducted on the failure mechanism of rock mass anchoring system under plane strain conditions. By integrating the generalized nonlinear unified strength theory with the upper bound theorem of limit analysis and variational method principles, a novel theoretical framework was developed for the first time, incorporating an optimized objective function with velocity discontinuity equations and a kinematically admissible velocity field for anchor failure. Based on this theoretical framework, the determination method of the ultimate pullout resistance of rock bolts under synergistic failure of the anchorage body and surrounding rock mass was systematically investigated, while quantitatively revealing the influence patterns of key material parameters on load-bearing performance. Numerical results demonstrate that the ultimate pullout resistance shows positive correlations with rock mass parameters(k, s, m), uniaxial compressive strength, and unit weight, but exhibits negative correlation with parameter a. Notably, increasing the anchorage length within a critical range significantly enhances the pullout capacity. The analytical model established provides theoretical guidance for deep rock mass anchorage engineering design, and the identified parameter sensitivity patterns offer valuable insights for optimizing bolt support parameters in practical engineering applications.更多还原