Simulation of the failure process of landslides based on 
extended finite element method

WANG Xiang-nan; LI Quan-ming; YU Yu-zhen; YU Jia-lin; LÜ He

doi:10.16285/j.rsm.2018.0292

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Simulation of the failure process of landslides based on extended finite element method

更新时间：2026-06-25

- Simulation of the failure process of landslides based on extended finite element method
- Vol. 40, Issue 6, Pages: 2435-2442(2019)
- 作者机构：
  
  1. 清华大学水沙科学与水利水电工程国家重点实验室,北京,100084
  2. 中国安全生产科学研究院,北京,100012
  3. 水电水利规划设计总院,北京,100120
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2018.0292
  CLC： TV641.1
- Online First：22 June 2019，
  
  Published：2019
- 稿件说明：
移动端阅览
WANG Xiang-nan, LI Quan-ming, YU Yu-zhen, et al. Simulation of the failure process of landslides based on extended finite element method[J]. 2019, 40(6): 2435-2442.
DOI：

WANG Xiang-nan, LI Quan-ming, YU Yu-zhen, et al. Simulation of the failure process of landslides based on extended finite element method[J]. 2019, 40(6): 2435-2442. DOI： 10.16285/j.rsm.2018.0292.

摘要

边坡失稳一般经历滑裂面萌生、扩展和贯通的过程。近年发展起来的扩展有限元法（XFEM）可以合理地模拟这一过程，但在实际应用中仍未克服需要预先设定滑裂面的起始位置，以及滑裂面前端扩展方向的判断精度较低等缺陷。首先介绍滑裂面萌生和扩展的判断和程序实现机制。然后提出了确定滑裂面起始位置的方法，重点描述了其中的自动判断裂缝萌生位置的方法，即根据单元内的应力状态求得拉应力水平和剪应力水平，根据其相对关系并结合应力历史进行判断。接着介绍了联合运用扇形控制域和圆形控制域确定滑裂面前端扩展方向的新方法。该方法可提高XFEM对滑坡破坏过程的模拟精度。最后通过两个边坡失稳算例的计算分析验证所提方法的可靠性。

Abstract

A soil slope failure usually experiences the initiation

development

and run-through of the slip plane. The extended finite element method (XFEM) has been applied to simulate the process of slope failure in recent years. However

there are still some shortcomings to be overcome in practical applications of XFEM to landslides. For example

the initial position of the slip plane needs to be prescribed

and the extending direction of the slip front-end cannot be tracked accurately. In this paper

the mechanism of slip-plane initiation and development is introduced

and the process of automatically determining the initial position of the slip plane based on the stress history and the relative relationship between the tensile stress level and the shear stress level in the soil element is proposed and described in detail. Then

a new method for determining the front-end propagation direction of the slip plane by using the sector control domain and the circular control domain is introduced

which effectively improves the simulation precision of the XFEM for the landslide failure process. Finally

two typical slope cases with different failure types are analyzed to verify the reliability and rationality of the proposed method further.

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