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将块体单元法与极限分析下限法相结合,提出了拱坝坝肩稳定的块体单元极限分析下限法.借助于块体单元法离散计算区域,通过块体系统静力场在结构面上满足Mohr-Coulomb屈服条件、应力边界条件以及在块体单元上的力矢力矩平衡原理,构成求解拱坝坝肩强度储备安全系数下限解的数学规划模型,模型的求解采用内点法.最后研究了一个楔形体算例和青龙拱坝左岸坝肩实例,通过比较块体单元下限法计算结果与刚体极限平衡法计算结果,验证了该方法的可行性.
By combining the block element method with the lower bound method of limit analysis, the lower bound method of block element limit analysis for dam abutment stability is proposed. With the aid of block element method, the calculated area is discretized, and the static field of block system satisfies Mohr-Coulomb yielding conditions, stress boundary conditions and force-moment moment balance principle in block units, constitute the mathematical programming model for solving the lower bound solution of safety margin of arch dam abutment strength, and the interior point method is used to solve the model.Finally, A wedge-shaped example and an example of the dam abutment of the left bank of the Qinglong arch dam, the feasibility of this method is verified by comparing the calculation results of the lower bound method of block element and the limit equilibrium method of rigid body.