基于网格化应力场的边坡滑移面搜索模型及应用

兰州理工大学学报 ›› 2021, Vol. 47 ›› Issue (3): 127-131.

基于网格化应力场的边坡滑移面搜索模型及应用

李忠^*1,2, 张曦², 汪红星²

1.上海工程技术大学城市轨道交通学院, 上海 201620;
2.兰州理工大学土木工程学院, 甘肃兰州 730050

收稿日期:2019-01-09 出版日期:2021-06-28 发布日期:2021-07-19
通讯作者: 李忠(1980-),男,甘肃榆中人,博士,教授,博导.Email:liz8048@foxmail.com
基金资助:
国家自然科学地区基金(51768041)

Search model of slope slip surface based on gridding stress field and its application

LI Zhong^1,2, ZHANG Xi², WANG Hong-xing²

1. Urban Rail Transit College, Shanghai University of Engineering and Technology, Shanghai 201620, China;
2. College of Civil Engineering, Lanzhou Univ. of Tech., Lanzhou 730050, China

Received:2019-01-09 Online:2021-06-28 Published:2021-07-19

摘要/Abstract

摘要： 为了将数值计算方法有效地应用于边坡稳定性分析,建立一种基于应力场的网格式边坡滑移面搜索模型.首先,通过建立有限元分析模型求得边坡应力场,并提取单元坐标及各应力计算结果;其次,根据边坡模型几何尺寸建立直角坐标系,将边坡在平面内按网格式离散为n个方格,使每个网格内可包含一个或多个原有限单元网格;再次,通过编制程序提取边坡应力场,在每列网格内依据C-M屈服准则搜索出最可能达到屈服条件的有限单元并标记;同理依次搜索出各列潜在滑移单元并串联,即实现基于应力场的网格式边坡滑移面搜索模型.最后,选用国际经典边坡案例,依据矢量和法安全系数表达式,基于应力场网格式边坡滑移面搜索进行边坡稳定性分析与计算,并与传统方法进行对比分析,证明该方法可行性和优越性.该方法适用于非极限状下边坡稳定性的评价与分析,计算结果更为合理.

关键词: 边坡稳定性, 应力场, 网格化, 滑移面

Abstract: In order to effectively apply numerical calculation method to slope stability analysis, a mesh slope slip surface search model based on stress field is established. Firstly, the stress field of slope is obtained by establishing finite element analysis model, and the element coordinates and the stress calculation results are extracted. Secondly, a rectangular coordinate system is established according to the geometric size of the slope model, and the slope is discretized into n-grids in the plane according to the grid form, so that each grid can contain one or more original finite element grids. Thirdly, the stress field of the slope is extracted by programming, and the most likely finite element to reach the yield condition is searched and labeled in each grid according to the C-M yield criterion. Then, the potential slip elements are searched in parallel and in series, that is to say, the mesh slope slip surface search model based on stress field is realized. Finally, the international classical slope case is selected, and the slope stability is analyzed and calculated based on the expression of vector and normal safety factor. The method is compared with the traditional method and proved to be feasible and superior. This method is suitable for the evaluation and analysis of slope stability under non-limit shape, and the calculation results are more reasonable.

Key words: lope stability, stress field, grid, slip surface search

中图分类号:

TU443

李忠, 张曦, 汪红星. 基于网格化应力场的边坡滑移面搜索模型及应用[J]. 兰州理工大学学报, 2021, 47(3): 127-131.

LI Zhong, ZHANG Xi, WANG Hong-xing. Search model of slope slip surface based on gridding stress field and its application[J]. Journal of Lanzhou University of Technology, 2021, 47(3): 127-131.

参考文献

[1] 李建林.边坡工程 [M].重庆:重庆大学出版社,2013.
[2] 张海涛,罗先启,沈辉,等.基于矢量和的滑面应力抗滑稳定分析方法 [J].岩土力学,2018,39(5):1691-1698.
[3] 周豪,蔡宜洲,李江龙.基于滑面正应力修正的极限平衡法的锚固边坡稳定性分析 [J].水电能源科学,2018,36(8):109-112.
[4] 王旭,刘东升,宋强辉,等.基于极限平衡法的边坡稳定性可靠度分析 [J].地下空间与工程学报,2016,12(3):839-844.
[5] 陈祖煜,弥宏亮,汪小刚.边坡稳定三维分析的极限平衡方法 [J].岩土工程学报,2001(5):525-529.
[6] 符贵军,任伟中,陈浩,等.Sarma法的改进及在边坡稳定性研究中的应用 [J].兰州理工大学学报,2017,43(6):113-119.
[7] 邓东平,李亮.一般形状边坡下准严格与非严格三维极限平衡法 [J].岩土工程学报,2013,35(3):501-511.
[8] 王成华,夏绪勇,李广信.基于应力场的土坡临界滑动面的蚂蚁算法搜索技术 [J].岩石力学与工程学报,2003,22(5):813-819.
[9] 李忠,杨俊.基于MPGA的复杂应力状态边坡稳定性分析 [J].岩土力学,2015,36(5):1488-1495.
[10] 李忠,范润赟,罗华.基于MPGA的边坡三维稳定性分析 [J].兰州理工大学学报,2018,44(1):116-120.
[11] ZOLFAGHARI A R,HEATH A C,MCCMBIE P F.Simple genetic algorithm search for critical non-circular failure surface in slope stability analysis [J].Computers and Geotechnics,2005,32(3):139-152.
[12] 张克恭,刘松玉.土力学 [M].3版.北京:中国建筑工业出版社,2010.
[13] 郭明伟,李春光,葛修润,等.基于矢量和分析方法的边坡滑面搜索 [J].岩土力学,2009,30(6):1775-1781.
[14] 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.
[15] 葛修润.抗滑稳定分析新方法:矢量和分析法的基本原理及其应用 [C]//中国岩石力学与工程学会.岩石力学与工程的创新和实践:第十一次全国岩石力学与工程学术大会论文集.武汉:湖北科学技术出版社,2010:26-44.
[16] DONALD I B,GIAM P.The ACADS slope stability programs review [C]//The 6th International Symposium on Landslides.Netherlands:Balkema,1991:1665-1670.