基于三维位移插值的边坡滑移面搜索模型The model for searching slope space slip surface based on three-dimensional displacement interpolation
李忠;汪红星;张曦;
LI Zhong;WANG Hong-xing;ZHANG Xi;College of Urban Railway Transportation, Shanghai University of Engineering Science;School of Civil Engineering,Lanzhou Univ. of Tech.;
摘要(Abstract):
最危险滑移面位置的确定是研究边坡稳定性的一项关键工作,而边坡失稳过程中岩土体位移特性变化是边坡稳定状态最直观的表现.本次研究采用有限元方法对边坡的位移场进行数值模拟,通过编程软件对导入的数值模拟结果进行编程开发,并利用空间位移插值算法,实现对边坡上最危险滑移面的精确、高效搜索.最后通过一个经典的三维边坡算例分析验证该方法和程序的合理性.该方法无需对滑移面形状与位置进行假设,计算结果可靠,并且易于编程.
The determination of the location of the most dangerous slip surface is a key work in the study of side slope stability. The change of displacement characteristics of rock and soil in the process of slope instability is the most intuitive manifestation of stability state of the side slope. In this research, the displacement field of the side slope is numerically simulated by finite element method. The imported numerical simulation results are developed through coding by a kind of programming software. The spatial displacement interpolation algorithm is then adopted to realize an accurate and efficient search to the most dangerous slip surface on the side slope. Finally, the rationality of the proposed method and coded program is verified by a classical example of 3 D side slope. This method does not need to assume the shape and position of slip surface, and the predicted result is reliable and meanwhile easy to program.
关键词(KeyWords):
位移场;最危险滑移面;位移插值;有限元
displacement field;most dangerous slip surface;displacement interpolation;finite element method
基金项目(Foundation): 国家自然科学地区基金(51768041)
作者(Author):
李忠;汪红星;张曦;
LI Zhong;WANG Hong-xing;ZHANG Xi;College of Urban Railway Transportation, Shanghai University of Engineering Science;School of Civil Engineering,Lanzhou Univ. of Tech.;
Email:
DOI:
参考文献(References):
- [1] 李宁,郭双枫,姚显春.边坡潜在滑动面模拟方法研究 [J].岩石力学与工程学报,2016,35(12):2377-2387.
- [2] 尤明庆.均质土坡的圆弧滑动分析 [J].岩土力学,2008,29(8):2025-2032.
- [3] 董渝,陈建康,杨志勇,等.基于联合搜索法的3维土坡滑动面搜索方式及其程序实现 [J].四川大学学报(工程科学版),2016,48(5):71-77.
- [4] 张科,曹平.基于变形分析的3维边坡滑动面搜索新方法 [J].四川大学学报(工程科学版),2012,44(6):55-60.
- [5] MATSUOKA H.A microscopic study on shear mechanism of granular materials [J].International Journal of Rock Mechanics & Mining Sciences & Geomechanics Abstracts,1975,12(7):89-89.
- [6] 邓东平,李亮,赵炼恒.一种三维均质土坡滑动面搜索的新方法 [J].岩石力学与工程学报,2010,29(增刊2):3719-3727.
- [7] 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.
- [8] 王德玲,李春光,葛修润.三维有限元位移场插值问题的研究和应用 [J].岩土力学,2004,33(2):216-219.
- [9] BROWN J L.Systems of coordinates associated with points scattered in the plane [J].Computer Aided Geometric Design,1997,14(6):547-559.
- [10] HONG Zheng,ZHAO Liangyang,GUAN Huasun.Extremum solutions to the limit equilibrium method subjected to physical admissibility [J].Natural Hazards,2013,65(1):79-96.
- 位移场
- 最危险滑移面
- 位移插值
- 有限元
displacement field - most dangerous slip surface
- displacement interpolation
- finite element method
- 李忠
- 汪红星
- 张曦
LI Zhong- WANG Hong-xing
- ZHANG Xi
- College of Urban Railway Transportation
- Shanghai University of Engineering Science
- School of Civil Engineering
- Lanzhou Univ. of Tech.
- 李忠
- 汪红星
- 张曦
LI Zhong- WANG Hong-xing
- ZHANG Xi
- College of Urban Railway Transportation
- Shanghai University of Engineering Science
- School of Civil Engineering
- Lanzhou Univ. of Tech.