Upper bound limit analysis of circular foundations on clay under general loading

Geotechnique

Volumn 53, Issue 9, 2003, Pages 785-796

  Randolph, M F ^a   Puzrin, A M ^b  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^b Georgia Institute of Technology   (United States)

Author keywords

Bearing capacity; Clays; Footings foundations; Limit state design analysis

Indexed keywords

CLAY; ERROR ANALYSIS; FINITE ELEMENT METHOD; GEOTECHNICAL ENGINEERING; LOADING; SOILS; STRAIN; STRENGTH OF MATERIALS;

PLANE STRAIN; SHALLOW FOUNDATIONS;

FOUNDATIONS;

BEARING CAPACITY; CLAY; FOUNDATION; OFFSHORE APPLICATION; SOIL MECHANICS;

EID: 0344441279     PISSN: 00168505     EISSN: None     Source Type: Journal    
DOI: 10.1680/geot.2003.53.9.785     Document Type: Article

References (35)

1. Bransby, M. F. and Randolph, M. F. (1998). Combined loading of skirted foundations. Géotechnique 48, No. 5, 637-655.
2. Brinch Hansen, J. (1970). A revised and extended formula for bearing capacity. Dan. Geotech. Inst. Bull. 28, 5-11.
3. Chen, W. F. (1975). Limit analysis and soil plasticity. New York: Elsevier.
4. Cox, A. D., Eason, G. & Hopkins, H. G. (1961). Axially symmetric plastic deformation of soils. Proc. R. Soc. London, Ser. A 254, 1-45.
5. Davis, E. H. and Booker, J. R. (1973). The effect of increasing strength with depth on the bearing capacity of clays. Géotechnique 23, No. 4, 551-563.
6. DnV (1992). Foundations, Classification Notes No 30·4, Oslo: Det Norske Veritas.
7. Drucker, D. C., Prager, W. & Greenberg, H. J. (1952). Extended limit design theorems for continuous media. Q. Appl. Math. 9, 381-389.
8. Gourvenec, S. & Randolph, M. F. (2003). Effect of strength non-homogeneity on the shape of failure envelopes for combined loading of strip and circular foundations on clay. Géotechnique 53, No. 6, 575-586.
9. Green, A. P. (1954). The plastic yielding of metal junctions due to combined shear and pressure. J Mech. Phys. Solids 2, No. 3, 197-211.
10. Hill, R. (1950). The mathematical theory of plasticity. Oxford: Clarendon Press.
11. Houlsby, G. T. and Puzrin, A. M. (1999). The bearing capacity of a strip footing on clay under combined loading. Proc. R. Soc. London, Ser. A 455, 893-916.
12. Houlsby, G. T. and Wroth, C. P. (1983). Calculation of stresses on shallow penetrometers and footings. Proc. IUTAM/IUGG Seabed Mechanics, Newcastle, pp. 107-112.
13. ISO (2002). Petroleum and natural gas industries - Offshore STRUCTURES - Part 4: Geotechnical and foundation design considerations. International Standards Organisation, Draft standard ISO 19901-4.
14. Kusakabe, O., Suzuki, H. & Nakase, A. (1986). An upperbound calculation on bearing capacity of a circular footing on a non-homogeneous clay. Soils Found. 26, No. 3, 143-148.
15. Levin, A. (1955). Indentation pressure of a smooth circular punch. Q. Appl. Math. 13, 381-389.
16. Lyamin, A. & Sloan, S. W. (2002). Upper bound limit analysis using linear finite elements and non-linear programming. Int. J. Numer. Anal. Methods Geomech. 26, 181-216.
17. Martin, C. M. (2001). Vertical bearing capacity of skirted circular foundations on Tresca soil. Proc. l5th Int. Conf. Soil Mech. Geotech. Engng Istanbul 1, 743-746.
18. Murff, J. D. & Hamilton, J. M. (1993). P-ultimate for undrained analysis of laterally loaded piles. J. Geotech. Engng. Div., ASCE 119, No. 1, 91-107.
19. Murff, J. D. & Miller, T. W. (1977). Stability of offshore gravity structure foundations by the upper bound method. Proc. Ann. Offshore Technol. Conf., Houston, Paper OTC2896.
20. Prandtl, L. (1921). Über die Eindringungsfestigkeit (Härte) plastischer Baustoffe und die Festigkeit von Schneiden. Zeit. angew. Math. Mech. 1, No. 1, 15-20.
21. Puzrin, A. M. & Randolph, M. F. (2001). On the superposition of plastically dissipated work in upper bound limit analysis. Proc. R. Soc. London: Maths, Phys., Engng Sci. 457, 567-586.
22. Puzrin, A. M. & Randolph, M. F. (2003a). Generalised framework for 3-dimensional upper bound limit analysis. J. Appl. Mech., ASME 70, No. 1, 91-100.
23. Puzrin, A. M. and Randolph, M. F. (2003b). New planar velocity fields for upper bound limit analysis. Int. J. Solids Struct. 40, No. 13-14, 3603-3619.
24. Salençon, J. (1974). Bearing capacity of a footing on a purely cohesive soil with linearly varying shear strength. Géotechnique 24, No. 3, 443-446.
25. Salençon, J. & Matar, M. (1982). Capacité portante des fondations superficielles circulaires. J. Méc. Théor. Appl. 1, No. 2, 237-267.
26. Salençon, J. & Pecker, A. (1995a). Ultimate bearing capacity of shallow foundations under inclined and eccentric loads. Part I: Purely cohesive soil. Eur. J. Mech. A 14, No. 3, 349-375.
27. Salençon, J. & Pecker, A. (1995b). Ultimate bearing capacity of shallow foundations under inclined and eccentric loads. Part II: Purely cohesive soil without tensile strength. Eur. J. Mech. A, 14, No. 3, 377-396.
28. Sekiguchi, H. & Kobayashi, S. (1997). Limit analysis bearing capacity for a circular footing subjected to eccentric loads. Proc. 14th Int. Conf. Soil Mech. Found. Engng, Hamburg 2, 1029-1032.
29. Shield, R. T. (1955). On the plastic flow of metals under conditions of axial symmetry. Proc. R. Soc. London Ser. A 233, 267-287.
30. Sloan, S. W. (1988). Lower bound limit analysis using finite elements and linear programming. Int. J. Numer. Anal. Methods Geomech. 12, 61-77.
31. Sloan, S. W. (1989). Upper bound limit analysis using finite elements and linear programming. Int. J. Numer. Anal. Methods Geomech. 13, 263-282.
32. Taiebat, H. A. & Carter, J. P. (2000). Numerical studies of the bearing capacity of shallow foundations on cohesive soil subjected to combined loading. Géotechnique 50, No. 4, 409-418.
33. Taiebat, H. A. & Carter, J. P. (2002). Bearing capacity of strip and circular foundations on undrained clay subjected to eccentric loads, Géotechnique 52, No. 1, 61-64.
34. Ukritchon, B., Whittle, A. J. & Sloan, S. W. (1998). Undrained limit analysis for combined loading of strip footings on clay. J. Geotech. Geoenviron. Engng, ASCE 124, No. 3, 265-276.
35. Zdravkovic, L., Potts, D. M. & Jardine, R. J. (2001). A parametric study of the pull out capacity of bucket foundations in soft clay. Géotechnique 51, No. 1, 55-67.