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

Abstract
Figure/Table
References (0)
Related Citation (15)

Download: PDF (450 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

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

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	SUN Jiansheng

Cite this article:

SUN Jiansheng. Theoretical model of stability calculation of macro-rigid sliding planes with FEM stress load based on limit equilibrium[J]. , 2018, 37(4): 862-875.

URL:

https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2017.1369 OR https://rockmech.whrsm.ac.cn/EN/Y2018/V37/I4/862

[1] 朱大勇，卢坤林，台佳佳，等. 基于数值应力场的极限平衡法及其工程应用[J]. 岩石力学与工程学报，2009，28(10)：1 969–1 975. (ZHU Dayong，LU Kunlin，TAI Jiajia，et al. Limit equilibrium method based on numerical stress field and its application to engineering[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(10)：1 969–1 975. (in Chinese))
[2] 郑宏，谭国焕，刘德富. 边坡稳定性分析的无条分法[J]. 岩土力学，2007，28(7)：1 285–1 291.(ZHENG Hong，THAM Leslie george，LIU Defu. A slice-free method for stability analysis of slopes[J]. Rock and Soil Mechanics，2007，28(7)：1 285–1 291.(in Chinese))
[3] 马建全，王念秦，张新社. 基于点稳定系数法的斜坡稳定性分析[J].吉林大学学报，2015，45(2)：533–540.(MA Jianquan， WANG Nianqin，ZHANG Xinshe. Analysis on slope stability based on local factor of safety[J]. Journal of Jilin University，2015，45(2)：533–540.(in Chinese))
[4] 葛修润. 岩石疲劳破坏的变形控制律、岩土力学试验的实时X射线CT扫描和边坡坝基抗滑稳定分析的新方法[J]. 岩土工程学报，2008，30(1)：1–20.(GE Xiurun. Deformation control law of rock fatigue failure， real-time X-ray CT scan of geotechnical testing， and new method of stability analysis of slopes and dam foundation[J]. Chinese Journal of Geotechnical Engineering，2008，30(1)：1–20.(in Chinese))
[5] 杨利福，常晓林，周伟，等. 基于离散元的重力坝多滑面深层抗滑稳定分析[J]. 岩土力学，2015，36(5)：1 463–1 480.(YANG Lifu，CHANG Xiaojin，ZHOU Wei，et al. Deep anti-sliding stability of gravity dam with multiple sliding planes based on distinct element method[J]. Rock and Soil Mechanics，2015，36(5)：1 463–1 480. (in Chinese))
[6] 刘艳章，葛修润，李春光，等. 基于矢量法安全系数的滑坡与坝基稳定分析[J]. 岩石力学与工程学报，2007，26(10)：2 130–2 140. (LIU Yanzhang，GE Xiurun，LI Chunguang，et al. Stability analysis of slope and dam foundation based on vector method safety factor[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(10)：2 130–2 140.(in Chinese))
[7] 郭明伟，葛修润，李春光，等. 边坡和坝基抗滑稳定分析的三维矢量和法及其工程应用[J]. 岩石力学与工程学报，2010，29(1)：8–20.(GUO Minwei，GE Xiurun，LI Chunguang，et al. Three-dimensional vector sum method employed in slope and dam foundation stability analysis and its applications to practical engineering[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(1)：8–20.(in Chinese))
[8] WAN Y K，GAO Y F，ZHANG F. A simplified approach to determine the unique direction of sliding in 3D slopes[J]. Engineering Geology，2016，211(23)：179–183.
[9] 沈华章，张国发，王水林，等. 基于矢量分析法的边坡下滑推力计算[J]. 岩土力学，2016，37(4)：1 096–1 108.(SHEN Huazhang， ZHANG Guofa，WANG Shuilin，et al. Calculation of downslide thrust of slope based on vector analysis method[J]. Rock and Soil Mechanics，2016，37(4)：1 096–1 108.(in Chinese))
[10] 杨志勇，陈建康，吴震宇，等. 重力坝深层抗滑稳定多滑面计算方法探讨[J]. 四川大学学报，2015，47(增1)：31–35.(YANG Zhiyong，CHEN Jiankang，WU Zhenyu，et al. Study on multi-slip surface calculation method for deep anti-sliding stability of gravity dam[J]. Journal of Sichuan University，2015，47(Supp.1)：31–35.(in Chinese))
[11] 陈祖煜，汪小刚，杨健，等. 岩质边坡稳定分析原理–方法–程序[M]. 北京，中国水利水电出版社，2005：410–518.(CHEN Zuyu，WANG Xiaogang，YANG Jian，et al. Rock slope stability analysis—theory，method and program[M]. Beijing：China Water Power Press，2005：410–518.(in Chinese))
[12] US Army Corps of Engineers. Gravity dams design[S]. [S. l.]：[s. n.]，1995.
[13] DAWSON E M，ROTH W H，DRESCHER A. Slope stability analysis by strength reduction[J]. Geotechnique，1999，49(6)：835–840.
[14] 葛修润，任建喜，李春光，等. 三峡左厂3#坝段深层抗滑稳定三维有限元分析[J]. 岩土工程学报，2003，25(4)：389–394.(GE Xiurun，REN Jianxi，LI Chunguang，et al. 3D-FEM analysis of deep sliding stability of #3 dam foundation of left power house of the three Gorges Project[J]. Chinese Journal of Geotechnical Engineering，2003，25(4)：389–394.(in Chinese))
[15] ZIENKIEWICZO C，HUMPHESON C，LEWIS R W. Associated and non-associated visco-plasticity and plasticity in soil mechanics[J]. Geotechnique，1975，25(4)：671–689.
[16] 张鲁渝，郑颖人，赵尚毅，等. 有限元强度折减系数法计算土坡稳定安全系数的精度研究[J]. 水利学报，2003，24(1)：21–27.(ZHANG Luyu，ZHENG Yingren，ZHAO Shangyi，et al. The feasibility study of strength-reduction method with FEM for calculating safety factors of soil slope stability[J]. Journal of Hydraulic Engineering，2003，24(1)：21–27.(in Chinese))
[17] 庞俊蕊，孙伟，王刚，等. 重力坝深层抗滑稳定弹塑性有限元超载法分析[J]. 水力发电，2015，41(4)：43–45.(PANG Junrui，SUN Wei，WANG Gang，et al. Elastoplastic finite element analysis for deep stability against sliding of gravity dam with overload method[J]. Water Power，2015，41(4)：43–45.(in Chinese))
[18] 张津生. 浅析刚体极限平衡法——探讨重力坝深层抗滑稳定的安全判据[J]. 水力发电学报，2005，24(5)：26–33.(ZHANG Jinsheng. Discussion on the rigid body limit equilibrium method —a probe of the criterion of the gravity dam safety factor against deep sliding stability analysis in the dam foundation[J]. Journal of Hydroelectric Engineering，2005，24(5)：26–33.(in Chinese))
[19] 潘家铮. 建筑物的抗滑稳定和滑坡分析[M]. 北京：水利出版社，1980：84–119.(PAN Jiazheng. Stability analysis of structures and landslides[M]. Beijing：China Water Conservancy Press，1980：84–119.(in Chinese))
[20] GE X R. Vector sum method：a new method for anti-sliding stability analysis[C]// Proceedings of the 12th ISRM international Congress on Rock Mechanics. [S. l.]：[s. n.]，2012：209–214.
[21] 孙剑，孙建生，曹国珍，等. 有限元应力积分等安全系数剩余推力法重力坝深层稳定分析研究[J]. 水力发电，2016，42(7)：45–48.(SUN Jian，SUN Jiansheng，CAO Guozhen，et al. Analysis of FEM stress integration under same safety factor with surplus thrust on deep stability of gravity dam[J]. Water Power，2016，42(7)：45–48.(in Chinese))
[22] 孙建生. 对“基于矢量分析方法的边坡下滑推力计算”的质疑[J]. 岩土力学，2018，39(2)：776–783.(SUN Jiansheng. Inquiry on calculation of downslide thrust of slope based on vector analysis method[J]. Rock and Soil Mechanics，2018，39(2)：776–783.(in Chinese))
[23] 孙建生，侯爱民. 基于分项系数的三滑裂面相等可靠余度重力坝深层抗滑稳定计算方法[J]. 水利学报，2013，44(3)：367–372.(SUN Jiansheng，HOU Aimin. The calculation method for stability against deep sliding with three sliding planes under the same reliability- surplus of gravity dam based on partial factor[J]. Journal of Hydraulic Engineering，2013，44(3)：367–372.(in Chinese))
[24] 陈祖煜. 土质边坡稳定分析原理方法程序[M]. 北京，中国水利水电出版社，2003：335–376.(CHEN Zuyu. Soil slope stability analysis—theory，method and program[M]. Beijing：China Water Power Press，2003：335–376.(in Chinese))
[25] 赵尚毅，郑颖人，刘明维，等. 基于Druker-Prager准则的边坡安全系数定义及其转换[J]. 岩石力学与工程学报，2006，25(12)：39–61.( ZHAO Shangyu，ZHENG Yinren，LIU Minwei，et al. Definition and transformation of slope safety factor based on Drucker-Prager criterion[J]. Chinese Journal of Rock Mechanics and Engineering， 2006，25(12)：39–61.(in Chinese))
[26] 中华人民共和国水利行业标准编写组. SL319—2005混凝土重力坝设计规范[S]. 北京：水利电力出版社，2005.(The Professional Standards Compilation Group of People’s Republic of China SL319—2005 Design specification for concrete gravity dams[S]. Beijing：China Water Power Press，2005.(in Chinese))
[27] 常晓林，王辉，周伟，等. 重力坝两种滑移失稳机理及安全度评价方法[J]. 水利学报，2009，40(10)：1 189–1 195.(CHANG Xiaolin，WANG Hui，ZHOU Wei，et al. Mechanism of two sliding failure modes in gravity dam and method for safety evaluation[J]. Journal of Hydraulic Engineering，2009，40(10)：1 189–1 195.(in Chinese))
[28] 杨硕，孙建生，孙伟. 基于突变理论的重力坝失稳判据研究[J]. 水电能源科学，2014，32(7)：66–68.(YANG Shuo，SUN Jiansheng，SUN Wei. Research of gravity dam instability criterion based on catastrophe theory[J]. Water Resources Power，2014，32(7)：66–68. (in Chinese))SUN G H，HUANG Y X，LI C G，et al. Formation mechanism，deformation characteristics and stability analysis of Wujiang landslide near Centianhe reservoir dam[J]. Engineering Geology，2016，211(23)：27–38.