Transformation of slope safety factor based on different Drucker-Prager criteria

ZHONG Cai-gen; ZHANG Bin

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Transformation of slope safety factor based on different Drucker-Prager criteria

更新时间：2026-06-25

- Transformation of slope safety factor based on different Drucker-Prager criteria
- Vol. 32, Issue 12, (2011)
- 作者机构：
  
  1. 同济大学土木工程学院,上海,200092
  2. 中交路桥技术有限公司,北京,100029
- 作者简介：
- 基金信息：
- DOI：
  CLC： TD824.7
- Online First：13 December 2011，
  
  Published：2011
- 稿件说明：
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ZHONG Cai-gen, ZHANG Bin. Transformation of slope safety factor based on different Drucker-Prager criteria[J]. 2011, 32(12).
DOI：

ZHONG Cai-gen, ZHANG Bin. Transformation of slope safety factor based on different Drucker-Prager criteria[J]. 2011, 32(12). DOI：

摘要

研究了边坡稳定分析的有限元强度折减过程中（平面应变条件下）Drucker-Prager（简称D-P）屈服面的变化特点，从而提出了有限元强度折减法采用不同屈服准则计算得到的边坡安全系数之间的转换关系式。在利用有限元强度折减法计算边坡稳定安全系数时，ANSYS有限元软件采用的岩土材料屈服准则为Mohr-Coulomb（简称M-C）六边形外接圆D-P准则，可先求出外接圆D-P准则条件下的安全系数，然后利用所提出的安全系数转换公式就可直接计算出各D-P准则条件下的安全系数。因此，通过转换就可以在ANSYS程序中实现不同M-C准则，而不需要进行二次开发。采用ANSYS软件通过算例分析，比较了由转换关系式得到的安全系数与实际计算的结果，讨论了转算结果的误差。算例结果表明：通过转换关系式得到的安全系数与计算得到的结果非常接近，具有比较高的计算精度，同时也证明所提出的方法是可行的。

Abstract

The characteristics of Drucker-Prager yield surface transformation during the strength reduction process by strength reduction finite element method in slope stability analysis under the plane strain condition are analyzed. Currently

the Mohr-Coulomb hexagon circumcircle Drucker-Prager criterion is adopted in the ANSYS finite element analysis programme. So

the safety factor using ANSYS with the Mohr-Coulomb hexagon circumcircle Drucker-Prager criterion is calculated; thus the safety factor based on the Drucker-Prager yield criterion such as the Mohr-Coulomb matching Drucker-Prager yield criterion under the plane strain condition can be obtained using the deduced conversion formulae. Under the plane strain condition

the Mohr-Coulomb yield criterion in the ANSYS programme without secondary programming development through equivalent substitution is adopted. The safety factor conversion formula with different Drucker-Prager yield criteria is deduced. The safety factors calculated with conversion formula and those calculated by traditional method are compared through slope models analysis using ANSYS

and the error between the results obtained by strength reduction finite element method with different Drucker-Prager yield surfaces are investigated. A series of case studies indicate that the average error of safety factors between those obtained by conversion formula and those by calculation is slight. The applicability of the proposed method is clearly verified

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