深圳某黏土边坡稳定的数值极限分析
Numerical Limit Analysis of Stability for a Soil Slope in Shenzhen
DOI: 10.12677/hjce.2024.137128, PDF,   
作者: 卢 亮, 项 翔：建设综合勘察研究设计院有限公司深圳分院，广东 深圳；刘锋涛, 王延伟：桂林理工大学土木工程学院，广西 桂林
关键词: 非均质边坡；稳定性分析；极限分析；混合应力有限元；Inhomogeneous Soil Slope； Stability Analysis； Limit Analysis； Mixed Stress Finite Element
摘要: 数值极限分析方法是边坡稳定性评价的主要方法之一，特别是针对复杂非均质边坡的问题具有一定的优势。文中使用OptumG2软件分析了深圳某典型非均质边坡的安全系数和失稳模式，该软件中采用了基于混合应力六节点三角形单元的数值极限分析方法，将边坡稳定性问题转化为二阶锥规划问题进行求解。在基于塑性剪切耗散的自适应方法的基础上，不仅可以获得比较准确的边坡稳定安全系数，而且还可以确定边坡的失稳模式。在此基础上，通过数值参数分析，首先验证了该软件分析实际复杂边坡的可行性，其次通过对比两种不同的放坡治理方案的优劣，发现在安全系数相同的情况下二级放坡方案挖方量相对较少，但二级放坡改变了边坡的应力状态，导致放坡后的边坡的失稳模式可能出现局部失稳模式，也可能是两条对数螺旋线复合的失稳模式，可能会增加边坡治理的难度。由此可见，采用文中方法不仅可以为解决实际复杂边坡工程稳定性评价提供有效的途径，还为滑坡治理提供了方法。
Abstract: The numerical limit analysis is one of the main methods for slope stability evaluation, and it has certain advantages especially for problems with complex inhomogeneous soil slopes. The safety factor and failure mechanism of a typical inhomogeneous slope in Shenzhen is analyzed by using OptumG2 software, and a numerical limit analysis based on a mixed stress six-node triangle element is adopted in the software, and the slope stability problem is recast as a second order cone programming. By using the adaptive analysis based on plastic shear dissipation, not only can an accurate safety factor of slope be obtained, but the failure mechanism of the slope can also be determined. On this basis, through numerical parameter analysis, the feasibility of the software in analyzing actual complex slopes is first verified. Secondly, by comparing the advantages and disadvantages of two different slope reduction schemes, it is found that the excavation volume of the secondary slope reduction scheme is relatively small under the same safety factor, but the secondary slope reduction changes the stress state of the slope, resulting in the instability mode of the slope after the slope reduction may appear in a local instability mode, or it may be a composite instability mode of two logarithmic spirals, which may increase the difficulty of slope control. It can be seen that the method in this paper can not only provide an effective way to solve the stability evaluation of actual complex slope engineering, but also provide a method for landslide control.
文章引用：卢亮, 项翔, 刘锋涛, 王延伟. 深圳某黏土边坡稳定的数值极限分析[J]. 土木工程, 2024, 13(7): 1186-1194. https://doi.org/10.12677/hjce.2024.137128

参考文献

[1] Chen, W.F. (1975) Limit Analysis and Soil Plasticity. Elsevier, Amsterdam.
[2] Chen, Z., Wang, X., Haberfield, C., Yin, J. and Wang, Y. (2001) A Three-Dimensional Slope Stability Analysis Method Using the Upper Bound Theorem. International Journal of Rock Mechanics and Mining Sciences, 38, 369-378. [Google Scholar] [CrossRef] 
[3] Chen, Z., Wang, J., Wang, Y., Yin, J. and Haberfield, C. (2001) A Three-Dimensional Slope Stability Analysis Method Using the Upper Bound Theorem Part II: Numerical Approaches, Applications and Extensions. International Journal of Rock Mechanics and Mining Sciences, 38, 379-397. [Google Scholar] [CrossRef] 
[4] Farzaneh, O. and Askari, F. (2003) Three-Dimensional Analysis of Nonhomogeneous Slopes. Journal of Geotechnical and Geoenvironmental Engineering, 129, 137-145. [Google Scholar] [CrossRef] 
[5] 卢亮, 刘锋涛, 王延伟. 非均匀边坡稳定的光滑有限元极限分析[J]. 土木工程, 2024, 13(5): 721-732.
[6] Sloan, S.W. and Kleeman, P.W. (1995) Upper Bound Limit Analysis Using Discontinuous Velocity Fields. Computer Methods in Applied Mechanics and Engineering, 127, 293-314. [Google Scholar] [CrossRef] 
[7] Makrodimopoulos, A. and Martin, C.M. (2006) Upper Bound Limit Analysis Using Simplex Strain Elements and Second‐Order Cone Programming. International Journal for Numerical and Analytical Methods in Geomechanics, 31, 835-865. [Google Scholar] [CrossRef] 
[8] Qian, Z.G., Li, A.J., Merifield, R.S. and Lyamin, A.V. (2015) Slope Stability Charts for Two-Layered Purely Cohesive Soils Based on Finite-Element Limit Analysis Methods. International Journal of Geomechanics, 15, No. 3. [Google Scholar] [CrossRef] 
[9] Lim, K., Li, A.J. and Lyamin, A.V. (2015) Three-Dimensional Slope Stability Assessment of Two-Layered Undrained Clay. Computers and Geotechnics, 70, 1-17. [Google Scholar] [CrossRef] 
[10] Krabbenhoft, K., Lyamin, A.V., Hjiaj, M. and Sloan, S.W. (2005) A New Discontinuous Upper Bound Limit Analysis Formulation. International Journal for Numerical Methods in Engineering, 63, 1069-1088. [Google Scholar] [CrossRef] 
[11] Krabbenhøft, K., Lyamin, A.V. and Sloan, S.W. (2007) Formulation and Solution of Some Plasticity Problems as Conic Programs. International Journal of Solids and Structures, 44, 1533-1549. [Google Scholar] [CrossRef] 
[12] 周锡文, 刘锋涛, 戴北冰, 张澄博, 张金鹏. 基于混合常应力-光滑应变单元的极限分析方法[J]. 岩土力学, 2022, 43(6): 1660-1670
[13] 中华人民共和国住房和城乡建设部. GB 50330-2013建筑边坡工程技术规范[S]. 北京: 中国建筑工业出版社, 2013.
[14] Krabbenhoft, K., Lyamin, A. and Krabbenhoft, J. (2015) Optum Computational Engineering (OptumG2).
https://optumce.com/
[15] Krabbenhoft, K. (2018) Static and Seismic Earth Pressure Coefficients for Vertical Walls with Horizontal Backfill. Soil Dynamics and Earthquake Engineering, 104, 403-407. [Google Scholar] [CrossRef] 
[16] Li, A., Mburu, J.W., Chen, C.W. and Yang, K. (2021) Investigations of Silty Soil Slopes under Unsaturated Conditions Based on Strength Reduction Finite Element and Limit Analysis. KSCE Journal of Civil Engineering, 26, 1095-1110. [Google Scholar] [CrossRef] 
[17] Peng, W., Zhao, M., Zhao, H. and Yang, C. (2023) Seismic Stability and Failure Mode of the Slope Containing a Two-Pile Foundation. Bulletin of Engineering Geology and the Environment, 82, Article No. 33. [Google Scholar] [CrossRef] 
[18] He, Y., Li, Z., Ou, J. and Yuan, R. (2024) Random Finite-Element Analysis of Slope Considering Strength Anisotropy and Spatial Variability of Soil. Natural Hazards Review, 25, No. 2. [Google Scholar] [CrossRef] 
[19] Jin, Z., Zhang, C., Li, W., Tu, S., Wang, L. and Wang, S. (2024) Stability Analysis for Excavation in Frictional Soils Based on Upper Bound Method. Computers and Geotechnics, 165, Article 105916. [Google Scholar] [CrossRef] 
[20] Zhang, L., Jiang, X., Sun, R., Gu, H., Fu, Y. and Qiu, Y. (2024) Stability Analysis of Unsaturated Soil Slopes with Cracks under Rainfall Infiltration Conditions. Computers and Geotechnics, 165, Article 105907. [Google Scholar] [CrossRef] 

为你推荐