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基于扩展有限元法的边坡稳定分析

  

  1. 石家庄铁道大学土木工程学院，河北 石家庄 050043
  • 出版日期:2017-02-28 发布日期:2017-02-22
  • 基金资助:
    国家自然科学基金项目(51478279)；河北省科学技术研究项目(QN2015117)

Numerical Analysis of Slope Stability Based on XFEM

  1. School of Civil Engineering, Shijiazhuang Tiedao University, Shijiazhuang Hebei 050043, China
  • Online:2017-02-28 Published:2017-02-22

PDF (PC)

293

被引次数

2

摘要： 边坡上缘受张拉开裂是普遍现象，研究已表明张拉剪切的复合判定模式比单一的剪
切破坏分析更合理。采用张拉和Mohr-Coulomb 剪切的复合破坏准则对垂直边坡进行稳定性分析。
借助扩展有限元方法的优势模拟渐进张拉开裂过程，用强度折减模拟剪切带的扩展。扩展有限元
法中采用统一的富集函数，并使得富集自由度具有明确的物理意义。采用无需分片的积分方案，
使得扩展有限元法在土中可以有效地应用。结果表明，不考虑土体的张拉破坏条件下的安全系数
偏高，所以考虑张拉破坏是必要的，同时，为边坡滑动面的确定提供参考。

关键词: 数值模拟, 边坡稳定, 扩展有限元

Abstract: It is obvious phenomenon that cracks exist in the upper part of slope. This paper considers
that the failure of slope is caused by composition of crack and shear, but not single shear failure.
Tension and Mohr-Coulomb shear failure is discussed in the analysis of slope and the just connection
between the shear failure zone, and crack is regarded as the criterion of sliding failure of slope.
Extended finite element method is adopted to simulate the cracking of tension. Unified enrichment
function is used in the approximation of discontinuous field in which mixing element is avoided and
the enrichment freedom has significance. The simulation results show that if the tension failure is not
taken into account, the factors of safety of slope stability are higher. Therefore, it is necessary to
consider the tension failure of soil. Meanwhile, the length of the crack of tension is longer than the
theoretical ones. It can be used as reference for the judgment of critical sliding surface.

Key words: numerical simulation, slope stability, extended finite element