考虑平动–转动力学效应的露天矿山节理岩质边坡塑性极限分析  

Plastic limit analysis of open-pit mine jointed rock slope considering translation-rotation mechanisms

作　　者：李泽[1,6] 胡政 刘文连[1,2] 胡高建 杜时贵 周宇[5] LI Ze;HU Zheng;LIU Wenlian;HU Gaojian;DU Shigui;ZHOU Yu(Faculty of Civil Engineering and Mechanics,Kunming University of Science and Technology,Kunming,Yunnan 650500,China;Kunming Prospecting Design Institute of China Nonferrous Metals Industry,Kunming,Yunnan 650000,China;Ocean College, Zhejiang University,Zhoushan,Zhejiang 316000;Key Laboratory of Rock Mechanics and Geohazards of Zhejiang Province, Shaoxing,Zhejiang 312000,China;Zhongshan Water Conservancy and Hydropower Surveying,Designing and Consulting, Zhongshan,Guangdong 528400,China)

机构地区：[1]昆明理工大学建筑工程学院,云南昆明650500 [2]中国有色金属工业昆明勘察设计研究院有限公司,云南昆明650000 [3]浙江大学海洋学院,浙江舟山316000 [4]浙江省岩石力学与地质灾害重点实验室,浙江绍兴312000 [5]中山市水利水电勘测设计咨询有限公司,广东中山528400 [6]武汉大学

出　　处：《岩石力学与工程学报》2018年第A02期4056-4068,共13页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家自然科学基金资助项目(51564026,41427802);浙江省岩石力学与地质灾害重点实验室开放研究基金资助项目~~

摘　　要：露天矿山节理岩质边坡的失稳破坏一般同时包含平动和转动力学效应。本文将塑性极限分析理论、多自由度的刚性块体单元离散技术、拟静力法原理和数学规划方法结合起来,研究矿山节理岩质边坡平动滑移破坏或倾倒破坏时的稳定性。根据拟静力法原理计算单元形心地震惯性力,以结构面的法向力、剪力、弯矩为决策变量,构建节理岩质边坡静力许可应力场,建立节理岩质边坡稳定性分析的下限法数学规划模型;同时以单元形心的平动速度、转动速度为决策变量,构建节理岩质边坡机动许可速度场,建立节理岩质边坡稳定性分析的上限法数学规划模型;最后运用优化算法求解这两个数学模型,获得节理岩质边坡安全系数的上、下限解和对应的破坏机构。The failure of open-pit mine jointed rock slope generally includes translational and rotational mechanical effects. The stability of jointed rock slope with sliding and toppling failure is studied,by combining plastic limit analysis theory,discrete technique of rigid block element with multiple degrees of freedom,the principle of pseudo-static method and mathematical programming method. The seismic inertia forces of elements are calculated according to the pseudo-static method. After that,taking internal force vector(normal force,shear force and bending moment) of interfaces as decision variables,the static admissible stress fields of jointed rock slope are constructed,and the mathematical programming model of lower bound method for jointed rock slope stability analysis is established. At the same time,taking the translational velocity and rotational velocity of element centroid as decision variables,the kinematically admissible velocity fields of jointed rock slope are constructed,and the mathematical programming model of upper bound method for jointed rock slope stability analysis is established. Lastly,the optimization algorithm are employed to solve these two models,and the upper and lower bound solution of the safety factor and corresponding failure mechanisms of jointed rock slopes can be obtained.

关 键 词：边坡工程 节理岩质边坡 稳定性 刚性块体单元 塑性极限分析 拟静力法 

分 类 号：P642[天文地球—工程地质学]