基于有限元应力载荷宏观刚性滑裂面极限平衡抗滑稳定计算理论

doi:10.13722/j.cnki.jrme.2017.1369

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摘要针对重力坝深层复杂滑面抗滑稳定计算存在问题，以彻底消除人为假设因素为目标，提出有限元应力载荷宏观刚性滑裂面力学模型，创立矢量力投影方向极值原理，构建微观有限元应力和宏观极限平衡融合的客观定量稳定计算理论模型，给出重力坝深层抗滑稳定弹塑性有限元应力荷载作用下，宏观刚性滑裂面极值投影方向极限平衡方程和能量极值条件方程，得到既满足平衡条件又具有能量极值特征的稳定安全系数客观定量解。通过算例考证，阐明基于投影方向极值原理的有限元应力宏观极限平衡稳定计算理论的合理可靠性。成果对于重力坝深层抗滑稳定客观定量计算、完善坝基与边坡稳定统一分析理论具有重大理论研究意义和工程推广使用价值。

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	孙建生

关键词 ：边坡工程, 坝基及边坡, 抗滑稳定, 耗散力, 极值能量, 有限元极限平衡, 安全系数

Abstract：A mechanical model of macro-rigid sliding planes with the finite element stress load without the previous assumptions was put forward to resolve the problems in the calculation of anti-slide stability of deep and complex sliding planes of gravity dams. The principle of extreme projection direction of vector forces was proposed. The objective and quantitative method of stability calculation that combines the micro finite element stress with the macro limit equilibrium was established. The limit equilibrium equation and the energy extreme condition equation of macro-rigid sliding planes of the gravity dam against deep sliding under the elasto-plastic finite element stress load were given in the extreme projection direction. The objective safety factor accurately obtained not only satisfies the equilibrium condition but also has the extreme value of energy. The calculated results of examples are reasonable and reliable.

Key words： slope engineering dam foundation and slope anti-sliding stability dissipation force extreme energy finite element limit equilibrium safety factor

引用本文:

孙建生. 基于有限元应力载荷宏观刚性滑裂面极限平衡抗滑稳定计算理论[J]. 岩石力学与工程学报, 2018, 37(4): 862-875.
SUN Jiansheng. Theoretical model of stability calculation of macro-rigid sliding planes with FEM stress load based on limit equilibrium. , 2018, 37(4): 862-875.

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http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2017.1369 或 http://www.rockmech.org/CN/Y2018/V37/I4/862

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