Slope stability analysis based on elasto-plastic finite element method

International Journal for Numerical Methods in Engineering

Volumn 64, Issue 14, 2005, Pages 1871-1888

  Zheng, H ^a   Liu, D F ^a   Li, C G ^b  

^a CHINA THREE GORGES UNIVERSITY   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Elasto plastic finite element method; Slope stability; The critical slide line (CSL); The factor of safety (FOS)

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ELASTOPLASTICITY; FINITE ELEMENT METHOD; INITIAL VALUE PROBLEMS; ORDINARY DIFFERENTIAL EQUATIONS; POISSON RATIO; SAFETY FACTOR;

CRITICAL SLIDE LINE (CSL); ELASTO-PLASTIC FINITE ELEMENT METHOD; SLOPE STABILITY ANALYSIS;

SLOPE STABILITY;

ELASTOPLASTICITY; SLOPE; STABILITY;

EID: 28844459120     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1406     Document Type: Article

References (21)

1. Duncan JM. State of the art: limit equilibrium and finite element analysis of slopes. Journal of Geotechnical and Geoenvironmental Engineering (ASCE) 1996; 122(7):577-596.
2. Griffiths DV, Lane PA. Slope stability analysis by finite elements. Géotechnique 1999; 49(3):387-403.
3. Lechman JB, Griffiths DV. Analysis of the progression of failure of earth slopes by finite elements. In Slope Stability 2000-Proceedings of Sessions of Geo-denver 2000, Griffiths et al. (eds), 250-265.
4. Jeremić B. Finite element methods for 3D slope stability analysis. In Slope Stability 2000 - Proceedings of Sessions of Geo-denver 2000, Griffiths et al. (eds), 224-239.
5. Johnson C. Existence thermos for plasticity problems. Journal de Mathématiques Pures et Appliquées 1976; 55:431-444.
6. Farias MM, Naylor DJ. Safety analysis using finite element. Computers and Geotechnics 1998; 22(2):165-181.
7. Wang CH. Salient aspects in numerical analysis of rainfall induced slope instability. Proceedings of the International Symposium on Slope Stability Engineering, vol. 2. A.A. Balkema: Rotterdam, 1999; 435-440.
8. Yamagami T, Ueta Y. Search for critical slip line in finite element stress fields by dynamic programming. Proceedings of the 6th International Conference on Numerical Methods in Geomechanics. A.A. Balkema: Rotterdam, 1988; 1334-1339.
9. Zou JZ, Williams DJ. Search for critical slip surface based on finite element method. Canadian Geotechnical Journal 1995; 32(2):233-246.
10. Zienkiewicz OC, Humpheson C, Lewis RW. Associated and nonassociated visco-plasticity in soil mechanics. Géotechnique 1975; 25(4):671-689.
11. Naylor DJ. Finite elements and slope stability. In Numerical Methods in Geomechanics, Proceedings of the NATO Advanced Study Institute, Lisbon, Portugal, 1981, 1982; 229-244.
12. Matsui T, San KC. Finite element slope stability analysis by shear strength reduction technique. Soils and Foundations 1992; 32(1):59-70.
13. Ugai K, Leschinsky D. Three dimensional limit equilibrium and finite element analyses: a comparison of results. Soils and Foundations 1995; 29(4):1-7.
14. Dawson EM, Roth WH, Drescher A. Slope stability analysis by strength reduction. Géotechnique 1999; 49(6):835-840.
15. Abramson LW, Lee TS, Sharma S, Boyce GM. Slope Stability and Stabilization Methods. Wiley: New York, 1995; 629-631.
16. Crisfield MA. Non-linear Finite Element Analysis of Solids and Structures, vol. 1. Wiley: New York, 1991; 266-271.
17. Brenner SC, Scott LR. The Mathematical Theory of Finite Element Methods. Springer: New York, 1994; 217-236.
18. Chen WF. Limit Analysis and Soil Plasticity. Elsevier: Amsterdam, 1975; 1-606.
19. Arnold VI. Geometric Methods in the Theory of Ordinary Differential Equations. Springer: New York, 1983; 1-55.
20. Sloan SW. Substepping schemes for the numerical integration of elastoplastic stress-strain relations. International Journal for Numerical Methods in Engineering 1987; 24(5):893-911.
21. Zheng H, Liu DF, Lee CF et al. Displacement-controlled method and its applications to material non-linearity. International Journal for Numerical and Analytical Methods in Geomechanics 2005; 29(3):209-226.