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 引用本文: 吴迪, 王钰轲, 陈欣. 考虑地震作用和非线性强度的三维土坡极限分析. 力学学报, 2024, 56(5): 1426-1438.
Wu Di, Wang Yuke, Chen Xin. Limit analysis of 3D soil slopes considering the earthquake and nonlinear strength. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(5): 1426-1438.
 Citation: Wu Di, Wang Yuke, Chen Xin. Limit analysis of 3D soil slopes considering the earthquake and nonlinear strength. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(5): 1426-1438.

## LIMIT ANALYSIS OF 3D SOIL SLOPES CONSIDERING THE EARTHQUAKE AND NONLINEAR STRENGTH

• 摘要: 地震是边坡稳定性问题的一个不利因素, 地震作用对非线性准则下三维土坡稳定性的影响有待进一步研究. 针对水平地震作用下三维均质土坡, 构建了非线性准则下的三维转动滑动破坏机制(坡底破坏机制和坡面破坏机制). 采用拟静力法考虑水平地震载荷的做功功率, 建立了两种三维边坡滑动体的能量平衡方程. 对于给定几何参数和强度参数的三维土坡, 通过数值优化方法得到了边坡稳定系数、最危险滑动面和等效强度参数, 分析了水平地震作用对三维土坡稳定性及等效强度参数的影响, 绘制了可供实际工程参考的边坡稳定性图表. 研究结果显示: 三维土坡稳定性将随着水平地震作用的增大而降低, 特别是对于坡度较小、宽度较大的边坡, 其稳定性的降低程度更为显著. 水平地震作用只有在非线性参数比c0/σ0较大时才会对等效强度参数产生一定的影响: 随着水平地震作用的增大, 等效内摩擦角将递增, 等效黏聚力将递减. 边坡最危险滑动面位置将随着水平地震作用的增大而有所加深, 且其滑动面的三维特性将变得显著.

Abstract: Earthquake is an unfavorable factor in the slope stability problems. The effect of seismic action on the stability of three-dimensional (3D) soil slopes with the nonlinear criterion needs to be further studied. For 3D homogeneous soil slopes undergoing the horizontal earthquake, this study established the 3D rotational slip failure mechanisms (face-failure mechanism and base-failure mechanism) with the nonlinear strength criterion. The pseudo-static method was used to consider the work rate done by the horizontal seismic load, and the energy balance equations for two kinds of 3D slope sliding bodies were established. For a 3D soil slope with the known geometric parameters and the known strength parameters, the stability coefficient, the critical slip surface and the equivalent strength parameters for 3D slopes were obtained by using the numerical optimization method. The influences of the horizontal earthquake on the slope stability and the equivalent strength parameters were well analyzed. The slope stability charts were drawn to present the references for the practical engineering. The research results show that the stability of 3D soil slope decreases with the increase of the horizontal seismic action. Especially for the slope with a small inclination and a large width, the decrease degree of the slope stability is more significant. The horizontal seismic action has an obvious effect on the equivalent strength parameters only when the nonlinear parameter ratio c0/σ0 is large. In this situation, the equivalent internal friction angle will become bigger with an increase in the horizontal seismic action, and the equivalent cohesion will become smaller with an increase in the horizontal seismic action. The location of the critical slip surface of soil slope turns to be deepened as the horizontal seismic action becomes bigger. Besides, the 3D characteristic of the slope critical slip surface will become significant with the increase of the horizontal seismic action.

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