The effect of strength envelope nonlinearity on slope stability computations

Canadian Geotechnical Journal

Volumn 40, Issue 2, 2003, Pages 308-325

  Jiang, J C ^a   Baker, R ^b   Yamagami, T ^a  

^a UNIVERSITY OF TOKUSHIMA   (Japan)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Critical slip surface; Limit equilibrium; Minimum factor of safety; Mohr Coulomb failure criterion; Nonlinear strength envelope; Three dimensional stability analysis

Indexed keywords

APPROXIMATION THEORY; NONLINEAR SYSTEMS; PHASE EQUILIBRIA; SHEAR STRENGTH; SLOPE STABILITY;

NONLINEAR STRENGTH;

GEOTECHNICAL ENGINEERING;

SLOPE; STABILITY;

SLOPE FAILURE; SLOPE STABILITY;

EID: 0038496771     PISSN: 00083674     EISSN: None     Source Type: Journal    
DOI: 10.1139/t02-111     Document Type: Article

References (33)

1. Atkinson, J.H., and Farrar, D.M. 1985. Stress path tests to measure soil strength parameters for shallow landslips. In Proceedings of the 11th International Conference on Soil Mechanics and Foundation Engineering, San Francisco, 12-16 August. A.A. Balkema, Rotterdam, Vol. 2, pp. 983-986.
2. Baker, R. 1980. Determination of the critical slip surface in slope stability computations. International Journal for Numerical and Analytical Methods in Geomechanics, 4: 333-359.
3. Baker, R., and Garber, M. 1978. Theoretical analysis of the stability of slopes. Géotechnique, 28(4): 395-411.
4. Baligh, M.M., and Azzouz, A.S. 1975. End effects on stability of cohesive slopes. Journal of Geotechnical Engineering, ASCE, 101(11): 1105-1117.
5. Bishop, A.W., Webb, D.L., and Lewin, P.I. 1965. Undisturbed samples of London Clay from the Ashford Common shaft: strength-effective normal stress relationship. Géotechnique. 15(1): 1-31.
6. Charles, J.A., and Soares, M.M. 1984a. Stability of compacted rockfill slopes. Géotechnique, 34(1): 61-70.
7. Charles, J.A., and Soares, M.M. 1984b. The stability of slopes in soils with nonlinear failure envelopes. Canadian Geotechnical Journal, 21: 397-406.
8. Charles, J.A., and Watts, K.S. 1980. The influence of confining pressure on the shear strength of compacted rockfill. Géotechnique, 30(4): 353-367.
9. Chen, R.H., and Chameau, J.L. 1983. Three dimensional limit equilibrium analysis of slopes. Géotechnique, 33(1): 31-40.
10. Collins, I.F., Gunn, C.I.M., Pender, M.J., and Wang, Y. 1988. Slope stability analyses for materials with a nonlinear failure envelope. International Journal for Numerical and Analytical Methods in Geomechanics, 12: 533-550.
11. Day, R.W., and Axten, G.W. 1989. Surficial stability of compacted clay slopes. Journal of Geotechnical Engineering, ASCE, 115(4): 577-580.
12. de Mello, V.B.F. 1977. Reflections on design decisions of practical significance to embankment dams. Géotechnique, 27(3): 281-354.
13. Fredlund, D.G., and Krahn, J. 1977. Comparison of slope stability methods of analysis. Canadian Geotechnical Journal, 14: 429-439.
14. Frydman, S., and Samooha, Y. 1984. Laboratory studies on Israeli clays for reservoir embankment design. In Proceedings of the 5th International Conference on Expansive Soils. Adelaide. South Australia, pp. 94-98.
15. Griffith, A.A. 1924. Theory of repute. In Proceedings of the 1st Congress on Applied Mechanics. Delft, pp. 55-63.
16. Hovland, H.J. 1977. Three-dimensional slope stability analysis method. Journal of Geotechnical Engineering, ASCE, 103(9): 971-986.
17. Janbu, N. 1973. Slope stability computations. In Embankment dam engineering, Cassagrande volume. Edited by R.C. Hirshfield and S.J. Poulos, John Wiley & Sons, N.Y., pp. 47-86.
18. Jiang, J.-C., and Yamagami, T. 1999. Determination of the sliding direction in three- dimensional slope stability analysis, In Proceeding of the 44th symposium on Geotechnical Engineering, The Japanese Geotechnical Society, pp. 193-200. [In Japanese.]
19. Lam, L., and Fredlund, D.G. 1993. A general limit equilibrium model for three-dimensional slope stability analysis. Canadian Geotechnical Journal, 30: 905-919.
20. Lefebvre, G. 1981. Strength and slope stability in Canadian soft clay deposits. Canadian Geotechnical Journal, 18: 420-442.
21. Leshchinsky, D., Baker, R., and Silver, M.L. 1985. Three dimensional analysis of slope stability. International Journal for Numerical and Analytical Methods in Geomechanics, 9: 199-223.
22. Maksimovic, M. 1979. Limit equilibrium for nonlinear failure envelope and arbitrary slip surface. In Proceedings of the 3rd International Conference on Numerical Methods in Geomechanics, Aachen, Edited by W. Wittke. A.A. Balkema, Rotterdam, Vol. 2, pp. 769-777.
23. Maksimovic, M. 1989. Nonlinear failure envelope for soils. Journal of Geotechnical Engineering, ASCE, 115(4): 581-586.
24. Morgenstern, N.R., and Price, V.E. 1965. The analysis of the stability of general slip surfaces. Géotechnique, 15(1): 79-93.
25. Penman, A. 1953. Shear characteristics of saturated silt measured in triaxial compression. Géotechnique, 3(8): 312-328.
26. Perry, J. 1994. A technique for defining non-linear shear strength envelopes and their incorporation in a slope stability method of analysis. Quarterly Journal of Engineering Geology, 27: 231-241.
27. Ponce, V.M., and Bell, J.M. 1971. Shear strength of sand at extremely low pressures. Journal of Geotechnical Engineering, ASCE, 97(4): 625-637.
28. Sen, A., and Srivastava, M. 1990. Regression analysis, theory, methods, and applications. Springer texts in Statistics, Springer-Verlag, N. Y.
29. Ugai, K. 1987. Three-dimensional slope stability analysis by simplified Janbu method. Journal of Japan Landslide Society, 24(3): 8-14. [In Japanese.]
30. Ugai, K. 1988. Three-dimensional slope stability analysis by slice methods. In Proceedings of the 6th International Conference on Numerical Methods in Geomechanics, Innsbruck, Austria, Edited by G. Swoboda. A.A. Balkema, Rotterdam, Vol. 2, pp. 1369-1374.
31. Yamagami, T., and Jiang, J.-C. 1997. A search for the critical slip surface in three-dimensional slope stability analysis. Soils and Foundations, 37(3): 1-16.
32. Yamagami, T., and Ueta, Y. 1986. Noncircular slip surfaces analysis of the stability of slopes: an application of dynamic programming to the Janbu method. Journal of Japan Landslide Society, 22(4): 8-16.
33. Yamagami, T., and Ueta, Y. 1988. Search for critical slip lines in finite element stress fields by dynamic programming. In Proceedings of the 6th International Conference on Numerical Methods in Geomechanics, Innsbruck, Austria, Edited by G. Swoboda. A.A. Balkema, Rotterdam, Vol. 2, pp. 1347-1352.