考虑内部摩擦变形耗能的预应力锚索边坡极限分析

夏元友; 陈春舒

doi:10.11779/CJGE201702003

考虑内部摩擦变形耗能的预应力锚索边坡极限分析 English Version

武汉理工大学土木工程与建筑学院,湖北武汉 430070

基金项目: 国家自然科学基金面上项目（51374163）

详细信息

作者简介:
夏元友(1965- ),男,教授,博士生导师,主要从事岩土工程教学和科研工作。E-mail：xiayy1965@126.com。

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出版历程
- 收稿日期: 2015-11-26
- 发布日期: 2017-03-24

Limit analysis of reinforced slopes with prestressed anchor cables considering energy dissipation due to deformation of inner friction

School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China

摘要

摘要: 根据变形协调原则,认为对数螺旋线滑面滑坡体在下滑过程中并非完全不变形而是根据滑面形状自适应变形从而产生能量耗散。为量化该过程中的能量耗散,根据协调速度场的关系提出了2种多块体划分法来计算该变形摩擦耗能功率,并结合极限分析上限法和强度折减法推导了预应力锚索加固边坡的安全系数计算式。通过算例分析表明,虽然2种多块体划分方法获得的边坡安全系数随着划分块体接触面数量的增加变化规律不同,但最终都趋于稳定收敛,且收敛值十分接近,并从具体划分原理角度解释了2种不同变化趋势的原因。典型边坡算例的不同分析方法安全系数结果比较表明,滑坡体内部变形摩擦耗能有助于提高边坡的抗滑作用,安全系数较不考虑时有所增大。分析总结了预应力锚索边坡随锚索预应力、锚索倾角、锚索位置高度变化条件下有无考虑滑坡体内部变形摩擦耗能的边坡安全系数变化规律。该方法弥补了以往上限法中忽略该项摩擦耗能的不足,可为预应力锚索加固边坡的稳定性分析提供参考。
- 预应力锚索边坡 /
- 稳定性 /
- 上限分析 /
- 耗能 /
- 多块体划分法
Abstract: According to deformable coordination condition, the sliding soil mass will deform to adapt to the curve of logarithmic spiral which will lead to energy dissipation. To quantify this energy dissipation, two multi-blocks partitioning methods which are based on the coordinating velocity field are proposed. Combined with the upper bound limit analysis and the strength reduction method, the safety factor of the case of reinforced slopes with prestressed anchor cables is obtained. The calculated results indicate that the influence rules of interface number on the safety factor in the two multi-blocks partitioning methods are different, but both curves converge to a similar value, and the reasons for this are explained from the point of partition principles. The safety factors of typical slopes are calculated and compared with others’ results. It is indicated that the safety factor considering the energy dissipation due to deformation of inner friction is more than the other one, and this energy dissipation contributes to improving the anti-sliding ability of slopes. Moreover, the influences of anchor prestress, anchor inclination and anchor height on the safety factor are respectively analyzed, and in each calculation, two results with and without considering the energy dissipation due to deformation of inner friction are compared. This method makes up for the deficiency of neglecting the energy dissipation due to deformation of inner friction, which can provide references for stability analysis of reinforced slopes with prestressed anchor cables.
- reinforced slope with prestressed anchor cable /
- stability /
- upper bound limit analysis /
- energy dissipation /
- multi-blocks partitioning method

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参考文献(22)

[1]	程良奎. 岩土锚固研究与新进展[J]. 岩石力学与工程学报, 2005, 24(21): 3803-3811. (CHENG Liang-kui. Research and new progress in ground anchorage[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(21): 3803-3811. (in Chinese))
[2]	程良奎, 范景伦, 韩军, 等. 岩土锚固[M]. 北京: 中国建筑工业出版社, 2003. (CHENG Liang-kui, FAN Jing-lun, HAN Jun, et al. Anchoring in soil and rock[M]. Beijing: China Architecture and Building Press, 2003. (in Chinese))
[3]	徐祯祥. 岩土锚固工程技术发展之回顾与展望[J]. 市政技术, 2009, 27(2): 136-140. (XU Zhen-xiang. Review and prospects of technique development for rock-soil anchoring[J]. Municipal Engineering Technology, 2009, 27(2): 136-140. (in Chinese))
[4]	尤明庆. 均质土坡的圆弧滑动分析[J]. 岩土力学, 2008, 29(8): 2025-2032. (YOU Ming-qing. Analysis of homogeneous soil slope slipping in circular arc[J]. Rock and Soil Mechanics, 2008, 29(8): 2025-2032. (in Chinese))
[5]	万文, 曹平, 冯涛, 等. 基于加速混合遗传算法搜索复杂边坡的最危险滑动面[J]. 岩土工程学报, 2006, 28(4): 475-479. (WAN Wen, CAO Ping, FENG Tao, et al. Searching for the most dangerous failure surface of complex slope based on accelerating hybrid genetic algorithm[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(4): 475-479. (in Chinese))
[6]	何思明, 张晓曦, 罗渝. 坡顶条形荷载作用边坡潜在滑裂面与稳定性分析[J]. 山地学报, 2011, 29(1): 95-100. (HE Si-ming, ZHANG Xiao-xi, LUO Yu. Potential sling surface position and slope stability analysis under the strip load[J]. Journal of Mountain Science, 2011, 29(1): 95-100. (in Chinese))
[7]	邓东平, 李亮, 赵炼恒. 基于 Janbu 法的边坡整体稳定性滑动面搜索新方法[J]. 岩土力学, 2011, 32(3): 891-898. (DENG Dong-ping, LI Liang, ZHAO Lian-heng. A new method of sliding surface searching for general stability of slope based on Janbu method[J]. Rock and Soil Mechanics, 2011, 32(3): 891-898. (in Chinese))
[8]	祁小辉, 李典庆, 周创兵, 等. 考虑土体空间变异性的边坡最危险滑动面随机分析方法[J]. 岩土工程学报, 2013, 35(4): 745-753. (QI Xiao-hui, LI Dian-qing, ZHOU Chuang-bing, et al. Stochastic analysis method of critical slip surfaces in soil slopes considering spatial variability[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(4): 745-753. (in Chinese))
[9]	石露, 李小春, 任伟, 等. 蚁群算法与遗传算法融合及其在边坡临界滑动面搜索中的应用[J]. 岩土力学, 2009, 30(11): 3486-3492. (SHI Lu, LI Xiao-chun, REN Wei, et al. Hybrid of ant colony algorithm and genetic algorithm and its application to searching critical slope slip surface[J]. Rock and Soil Mechnics, 2009, 30(11): 3486-3492. (in Chinese))
[10]	罗强, 李亮, 赵炼恒. 水力和超载条件下锚固岩石边坡动态稳定性拟静力分析[J]. 岩土力学, 2010, 31(11): 3585-3593. (LUO Qiang, LI Liang, ZHAO Lian-heng. Quasi-static analysis of seismic stability of anchored rock slope under surcharge and water pressure conditions[J]. Rock and Soil Mechanics, 2010, 31(11): 3585-3593. (in Chinese))
[11]	邓东平, 李亮, 罗强. 预应力锚索加固土质边坡极限平衡稳定性分析[J]. 工程地质学报, 2013, 21(1): 53-60. (DENG Dong-ping, LI Liang, LUO Qiang. Limit equilibrium analysis on stability of soil slopes reinforced with pre-tensioned cables[J]. Journal of Engineering Geology, 2013, 21(1): 53-60. (in Chinese))
[12]	李新坡, 何思明, 徐骏, 等. 预应力锚索加固土质边坡的稳定性极限分析[J]. 四川大学学报: 工程科学版, 2006, 38(5): 82-85. (LI Xin-po, HE Si-ming, XU Jun, et al. Stability analysis of slopes reinforced with pre-tensioned cables by limit analysis method[J]. Journal of Sichuan University (Engineering Science Edition), 2006, 38(5): 82-85. (in Chinese))
[13]	何思明, 张晓曦, 欧阳朝军. 岩质高切坡预应力锚索超前支护研究[J]. 土木工程学报, 2011, 44(12): 101-107. (HE Si-ming, ZHANG Xiao-xi, OUYANG Chao-jun. Research of rock high cut slope reinforced by pre-stressed anchorage[J]. China Civil Engineering Journal, 2011, 44(12): 101-107. (in Chinese))
[14]	赵炼恒, 罗强, 李亮, 等. 基于失稳状态耗能最小原理的预应力锚索加固边坡稳定性上限解析[J]. 岩土力学, 2013, 34(2): 426-432. (ZHAO Lian-heng, LUO Qiang, LI Liang, et al. Energy analysis method for slopes reinforcing with prestressed anchor cables based on minimum energy principle of instability state[J]. Rock and Soil Mechanics, 2013, 34(2): 426-432. (in Chinese))
[15]	龚晓南. 土塑性力学[M]. 杭州: 浙江大学出版社, 1997. (GONG Xiao-nan. Soil plasticity mechanics[M]．Hangzhou: Zhejiang University Press, 1997. (in Chinese))
[16]	NIAN T K, LIU K, ZHENG D F, et al. Limit analysis of anchored slopes subjected to seismic loading[C]// Advances in Soil Dynamics and Foundation Engineering, ASCE. Shanghai, 2014: 548-553.
[17]	CHANG C J, CHEN W F, YAO J T P. Seismic displacements in slopes by limit analysis[J]. Journal of Geotechnical Engineering, 1984, 110(7): 860-874.
[18]	CHEN W F, SAWADA T. Earthquake-induced slope failure in nonhomogeneous, anisotropic soils[J]. Soils and Foundations, 1983, 23(2): 125-139.
[19]	BISHOP A W. The use of the slip circle in the stability analysis of slopes[J]. Géotechnique, 1955, 5(1): 7-17.
[20]	CAI F, UGAI K. Reinforcing mechanism of anchors in slopes: a numerical comparison of results of LEM and FEM[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2003, 27(7): 549-564.
[21]	HASSIOTIS S, CHAMEAU J L, GUNARATNE M. Design method for stabilization of slopes with piles[J]. Journal of Geotechnical and Geoenvironmental Engineering, 1997, 123(4): 314-323.
[22]	DAY R W, HULL T S, POULOS H G, et al. Design method for stabilization of slopes with piles (discussion)[J]. Journal of Geotechnical and Geoenvironmental Engineering, 1999, 125(10): 911-913.

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