Two and Three-dimensional Stability Analyses of Slopes with Local Load on Top Surface(Ⅰ)——Using Strength Reduction Finite Element Method

Yang Xue-qiang; Ling Ping-ping; Yang Rui; Chen Gui-lin

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Two and Three-dimensional Stability Analyses of Slopes with Local Load on Top Surface(Ⅰ)——Using Strength Reduction Finite Element Method

更新时间：2026-05-27

- Two and Three-dimensional Stability Analyses of Slopes with Local Load on Top Surface(Ⅰ)——Using Strength Reduction Finite Element Method
- Vol. 25, Issue 4, Pages: 86-93(2008)
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- Online First：01 March 2008，
  
  Published：2008
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杨雪强, 凌平平, 杨锐, 陈桂林. 坡顶局部荷载下边坡的二维和三维稳定分析(Ⅰ)——强度折减的有限元法[J]. 广东工业大学学报, 2008, 25(4): 86-93.

Yang Xue-qiang, Ling Ping-ping, Yang Rui, et al. Two and Three-dimensional Stability Analyses of Slopes with Local Load on Top Surface(Ⅰ)——Using Strength Reduction Finite Element Method[J]. 2008, 25(4): 86-93.
杨雪强, 凌平平, 杨锐, 陈桂林. 坡顶局部荷载下边坡的二维和三维稳定分析(Ⅰ)——强度折减的有限元法[J]. 广东工业大学学报, 2008, 25(4): 86-93. DOI：

Yang Xue-qiang, Ling Ping-ping, Yang Rui, et al. Two and Three-dimensional Stability Analyses of Slopes with Local Load on Top Surface(Ⅰ)——Using Strength Reduction Finite Element Method[J]. 2008, 25(4): 86-93. DOI：

摘要

各种在π平面上等效面积的Drucker-Prager屈服准则如DP4、DP5和DP6等模型

都不同程度地模拟了平面应变条件下土体的破坏强度

这就是为什么等效面积的DP屈服准则在二维土坡稳定分析中被推广应用的原因.结合砂土的真三轴强度破坏实验结果

从量化角度论证了DP4模型求出的土坡安全系数会保守一些

而DP5模型求出的土坡安全系数更真实一些

更好地发挥材料的承载潜力

是评价二维与三维边坡稳定较理想的弹塑性模型.结合DP5模型

探讨了矩形均布荷载不同的长宽比值对边坡二维与三维稳定的影响

指出荷载长宽比值小于4对边坡的安全系数有较显著的提升

并进一步指出剪胀角对长宽比小于2的边坡稳定也有较显著的影响.

Abstract

Different equivalent area Drucker-Prager yield criteria on π-plane

such as DP4

DP5 and DP6 yield criteria

can give an approximate estimation of soil failure strength under plane strain condition

which is why the equivalent area DP yield criteria are widely used for two-dimensional slope stability analyses.Combining true triaxial strength failure tests of sand

it demonstrates from quantitative point that the DP4 yield criterion is conservative for safety factor prediction of slope stability

where...

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references

杨雪强,宫全美,李彰明. 对三种强度破坏准则的物理解释[J]. 广东工业大学学报. 2007(03)

黄正荣,梁精华. 有限元强度折减法在边坡三维稳定分析中的应用[J]. 工业建筑. 2006(06)

杨雪强,朱志政,何世秀. 对Lade-Duncan,Matsuoka-Nakai和Ottosen等破坏准则的认识[J]. 岩土工程学报. 2006(03)

韦立德,杨春和,高长胜. 基于三维强度折减有限元的抗滑桩优化探讨[J]. 岩土工程学报. 2005(11)

郑颖人,赵尚毅,宋雅坤. 有限元强度折减法研究进展[J]. 后勤工程学院学报. 2005(03)

郑宏,李春光,李焯芬,葛修润. 求解安全系数的有限元法[J]. 岩土工程学报. 2002(05)

郑颖人等著.岩土塑性力学原理[M]. 中国建筑工业出版社, 2002

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