The Reliability Analysis for Homogeneous Slope Stability Using Stochastic Finite Element Method

확율유한요소법을 이용한 균질 사면의 신뢰성 해석

  • Published : 1996.10.01

Abstract

This study was performed to provide the design method for soil structure which guarantees proper safety with uncertainty of soil parameters. For this purpose, the effect of uncertainty of soil parameters for slope stability was analyzed by Bishop's simplified method and Monte Carlo simulation(MC). And reliability analysis program, RESFEM, was developed by combining elastic theory, MC, FEM, SFEM, and reliability, which can consider uncertainty of soil parameters. For factor of safety(FS) 1.0 and 1.2 by Bishop's simplified method, the probability of failure(Pf) was analyzed with varying coefficient of variation(c.o.v.) of soil parameters. The Pf increased as c.o.v. of soil parameters increased. This implies that FS is not the absolute index of slope safety, and even if FS is same, it has different Pf according to c.o.v. of soil parameters. The RESFEM was able to express the Pf at each element in slope quantitatively according to uncertainty of soil parameters. The variation of Pf with uncertainty of soil parameters was analyzed by RESFEM, and it was shown that the Pf increased as the c.o.v. of soil parameters increased.

Keywords

References

  1. 大韓土質工學會誌 v.4 no.2 Probabilistic Analysis of Slope Stability for Progressive Failure 金泳壽
  2. 大韓土質工學會誌 v.2 no.1 單一型 擧動函數에 依한 얕은 基礎의 信賴度 解析 金龍弼;林炳祚
  3. 大韓土質工學會誌 v.2 no.3 有相關 破壞類型에 依한 얕은 基礎의 信賴度 解析 金龍弼;林炳祚
  4. 서울대학교 박사학위논문 확률유한요소법에 의한 구조 신뢰성 해석 김지호
  5. 韓國地盤工學會誌 v.10 no.2 對數螺線破壞에 대한 確率論的 3次元 斜面安定解析 서인식;김영수
  6. 서울大學校 博士學位 論文 段階別 塑性解析 技法을 利用한 뼈대構造의 信賴性 모델 開發 李政宰
  7. 韓國地盤工學會 v.9 no.3 얕은기초 침하의 확률론적 해석 정두영;오병현
  8. 慶北大學校 博士學位論文 斜面의 對數螺線破壞에 대한 確率論的 解析 鄭聖寬
  9. 大韓土質工學會誌 v.4 no.4 荷重의 分散性을 고려한 對數螺線斜面의 確率論的 解析 鄭聖寬;權武男
  10. 土木學會誌 v.61 no.3 構造物の設計 · 安全性 · 信賴性 高岡宣善
  11. 土木學會論文集 no.301 安全性指票の信賴性解析への適用に關する2,3の考察 白石成人;古田均;中野正則
  12. 土木學會論文集 no.364(Ⅲ-4) 確率有限要素法による斜面安定解析 鈴木誠
  13. 土木學會論文集 no.376 確率有限要素法による護岸の信賴性設計の試み 鈴木誠
  14. 構造物の信賴性設計法 星谷勝;石井淸
  15. 土木學會誌 v.60 no.10 構造設計における安全性の規範 伊藤學
  16. 第19回 土質工學硏究發表會 確率有限要素法のよる防波堤の信賴性 解析 辰己安良
  17. 土木學會論文集 no.330 有限要素法による斜面の信賴性解析 土居康成
  18. ASCE Journal of the Structural Division v.100 no.ST9 Reliability Bases of Structural Safety and Design Ang,A.H.S.;C.A.Cornell
  19. Probability Concepts In Engineering Planning and Design v.2 Ang,A.H.S.;W.H.Tang
  20. ASCE Journal of the Structural Division v.96 no.GT6 Earth slope reliability : a level- crossing approach Catalan,J.M.;C.A.Cornell
  21. Introduction to Finite Element in Engineering Chandrupatla,T.R.;D.B.Ashoh
  22. Proc. 1st Int. Conf. Applications of Statistics and Probability in Soil and Structural Engineering First-order Uncertainty Analysis of Soils Deformation and Stability Cornell,C.A.
  23. Probability based design codes of concrete Corotis,R.B.
  24. A Preliminary Study on Stochastic Finite Element Method Lee,J.Y.
  25. Canadian Geotechnical Journal v.3 no.2 The variability of natural soils Lumb,P.
  26. Structural Reliability Melchers,R.E.
  27. Canadian Geotechnical Journal v.7 no.4 Safety Factor in Soil Mechanics Meyerhof,G.G.
  28. Canadian Geotechnical Journal v.13 Probability-based Short Term Design of Soil Slopes Tang,W.H.;M.S.Yucemen;A.H.S.Ang
  29. ASCE Journal of the Structural Division v.98 no.ST4 Structural safety-A Literature Review The task committee on structural safety of administrative committee on analysis;design of the structural division
  30. ASCE Journal of the Structural Division v.103 no.GT11 Probabilistic Modelling of Soil Profiles Vanmarcke,E.H
  31. ASCE Journal of the Structural Division v.103 no.GT11 Reliability of Earth Slopes Vanmarcke,E.H
  32. ASCE Journal of the Structural Division v.105 no.GT12 Reliability analysis of slopes : Frequency-Domain Method Veneziano,D.;J.Antoniano
  33. International Jour. for Numerical and Analytical Methods in Geomechanics v.12 Technical Note on Practical Applications : Evaluating The Design of an Earth Dam by Finite Element Analysis Wet,M.D.;F.Hugo
  34. ASCE Journal of the Structural Division v.96 no.SM2 Safety Analysis of Slopes Wu,T.H.;L.M.Kraft
  35. Canadian Geotechnical Journal v.14 Application of risk analysis to the prediction of slope instability Yong,R.N.;E.Alonso;M.M.Taba;P.B.Fransham