| 膨胀土径向条分法边坡稳定性研究 |
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| 引用本文： | 张升升,张波,蔡强,沈火明.膨胀土径向条分法边坡稳定性研究[J].路基工程,2022,0(5):20-25. |
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| 作者姓名： | 张升升 张波 蔡强 沈火明 |
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| 作者单位： | 1.西南交通大学力学与航空航天学院，成都 610031 |
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| 基金项目： | 2019年国家重点研发计划项目:膨胀土滑坡与工程边坡新型防治技术与工程示范研究（2019YFC1509904） |
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| 摘 要： | 以Bishop条分假设为出发点，基于Mohr-Coulomb塑性本构关系，建立直角坐标下膨胀土边坡稳定性计算模型。基于滑面为圆弧的假设，计算所有潜在滑面相应的安全系数，以此获得了最小安全系数，进而确定了最危险滑面半径及圆心位置。然后，依据Bishop法所得的最危险滑面半径和圆心坐标，推导极坐标下最危险滑面方程。结合能量守恒思想，引入径向条分法对圆弧面进行划分，基于虚位移原理分析了坡体重力势能以及滑面摩擦力、黏聚力、膨胀力产生的耗散功，据此确定径向条分能量法下膨胀土边坡安全系数。最后，通过算例与传统Bishop条分法进行对比，发现两者所预测的边坡稳定性系数随膨胀力的变化趋势一致，并通过有限元方法进行了对比验证；径向条分能量法有望为膨胀土边坡稳定性分析提供数据积累和方法依据。
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| 关 键 词： | Bishop条分假设 Mohr-Coulomb 塑性模型 径向条分法 能量法 最小安全系数 |
| 收稿时间： | 2022-02-22 |
Study on Stability of Expansive Soil Slope by Radial Strip Method |
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| Abstract: | Taking Bishop division hypothesis as a starting point, based on the Mohr-Coulomb plastic constitutive relation, the stability calculation model of expansive soil slope under cartesian coordinates has been established. Based on the assumption that the sliding surface is an arc, the corresponding safety factors of all potential sliding surfaces have been calculated, and the minimum safety factors have been obtained, and then the radius and center of the most dangerous sliding surface have been determined. Then, according to the radius and center coordinates of the most dangerous slip surface obtained by Bishop method, the equation of the most dangerous slip surface in polar coordinates has been derived. Combined with the idea of energy conservation, the radial strip method is introduced to divide the circular arc surface. Based on the principle of virtual displacement, the dissipative work generated by slope weight force potential energy, sliding surface friction, cohesion and expansion force has been analyzed. Based on this, the safety factor of expansive soil slope under the radial strip energy method has been determined. Finally, an example is given to compare the traditional Bishop strip method with the proposed method. It is found that the variation of slope stability coefficient predicted by them is consistent with that of eapansion force, and the comparison is verified by finite element method. The radial strip method is expected to provide data accumulation and methodological basis for the stability analysis of expansive soil slope. |
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