Advertisement

Finite element evaluation of ultimate capacity of strip footing: assessment using various constitutive models and sensitivity analysis

  • Jitesh T. ChavdaEmail author
  • G. R. Dodagoudar
Short Communication
  • 267 Downloads

Abstract

Finite element method can be used for computing bearing capacity of shallow foundation with irregular geometry resting on variable subsoil. It is necessary to quantify the parameters affecting the ultimate capacity of footing. This paper presents the results of finite element (FE) analysis of the ultimate failure load of a rough base rigid strip footing resting on c-ϕ soil. The soil is assumed as linear elastic perfectly plastic with Mohr–Coulomb failure criterion and non-associative flow rule. Sensitivity analysis is carried out to examine the ultimate capacity of strip footing considering the strength parameters (c′, ϕ′, and ψ), width of strip footing (B), unit weight of soil (γ), surcharge (q) at the base level of footing, and the deformation parameters (E and ν) as the variables. The study also examines the effect of different material models on the ultimate capacity of the strip footing. The material models considered are Mohr–Coulomb (MC) model, Hardening Soil (HS) model, Hardening Soil model with small-strain stiffness (HSsmall), and Soft Soil (SS) mode-l. It is found from the results of FE analysis that the ultimate load of the strip footing is dependent on the strength parameters, width of footing, unit weight of soil, and surcharge at the base level of the footing. The ultimate capacity is independent of the deformation parameters and will remain almost same corresponding to the material models like MC, HS, HSsmall, and SS. The FE results are compared with the analytical solutions of Terzaghi and Meyerhof. Based on the study, a few suggestions are given in regard to the FE analysis of geotechnical stability problems to obtain the quick results.

Keywords

Strip footing c-ϕ soil Material model Ultimate load Finite element method Sensitivity analysis Triaxial test 

References

  1. 1.
    Bolton MD, Lau CK (1993) Vertical bearing capacity factors for circular and strip footings on Mohr–Coulomb soil. Can Geotech J 30(6):1024–1033CrossRefGoogle Scholar
  2. 2.
    Brinkgreve RBJ, Vermeer PA, Bakker KJ (1988) Material model manual, PLAXIS V.7, A.A. Balkema, Rotterdam, BrookfieldGoogle Scholar
  3. 3.
    Chakraborty D (2016) Bearing capacity of strip footings by incorporating a non-associated flow rule in lower bound limit analysis. Int J Geotech Eng 10(3):311–315CrossRefGoogle Scholar
  4. 4.
    Chandrashekhara K, Antony SJ, Mondal D (1998) Semi-analytical finite element analysis of a strip footing on an elastic reinforced soil. Appl Math Model 22(4–5):331–349CrossRefGoogle Scholar
  5. 5.
    Chen WF (1975) Limit analysis and soil plasticity. Elsevier, AmsterdamGoogle Scholar
  6. 6.
    Drucker DC, Greenberg HJ, Prager W (1951) The safety factor of an elastic–plastic body in plane strain. J Appl Mech ASME 18:371–378Google Scholar
  7. 7.
    Drucker DC, Prager W, Greenberg HJ (1952) Extended limit design theorems for continuous media. Q Appl Math 9(4):381–389CrossRefGoogle Scholar
  8. 8.
    Frydman S, Burd HJ (1997) Numerical studies of the bearing capacity factor Nγ. J Geotech Eng 123(1):20–29CrossRefGoogle Scholar
  9. 9.
    Griffiths DV (1982) Computation of bearing capacity factors using finite elements. Géotechnique 32(3):195–202CrossRefGoogle Scholar
  10. 10.
    Griffiths DV (1989) Computation of collapse loads in geomechanics by finite elements. Arch Appl Math 59(3):237–244Google Scholar
  11. 11.
    Hansen JB (1961) A general formula for bearing capacity. B Geoteknisk Institut, B 11, The Danish Geotech Inst, CopenhagenGoogle Scholar
  12. 12.
    Hjiaj M, Lyamin AV, Sloan SW (2004) Bearing capacity of a cohesive-frictional soil under non-eccentric inclined loading. Comput Geotech 31(6):491–516CrossRefGoogle Scholar
  13. 13.
    Kumar J (2004) Effect of footing—soil interface friction on bearing capacity factor Nγ. Géotechnique 54(10):677–680CrossRefGoogle Scholar
  14. 14.
    Kumar J (2009) The variation of Nγ with footing roughness using the method of characteristics. Int J Num Anal Methods Geomech 33(2):275–284CrossRefGoogle Scholar
  15. 15.
    Kumar J, Khatri V (2008) Effect of footing roughness on lower bound Nγ values. Int J Geomech ASCE 8(3):176–187CrossRefGoogle Scholar
  16. 16.
    Kumar J, Kouzer KM (2007) Effect of footing roughness on bearing capacity factor Nγ. J Geotech Geoenviron Eng ASCE 133(5):502–511CrossRefGoogle Scholar
  17. 17.
    Maheshwari P, Madhav MR (2006) Analysis of a rigid footing lying on three-layered soil using the finite difference method. Geotech Geol Eng 24(4):851–869CrossRefGoogle Scholar
  18. 18.
    Meyerhof GG (1957) The ultimate bearing capacity of foundations on slopes. In: proc 4th int conf soil mech found eng, London, 1: 384–386Google Scholar
  19. 19.
    Meyerhof GG (1963) Some recent research on the bearing capacity of foundations. Can Geotech J 1(1):16–26CrossRefGoogle Scholar
  20. 20.
    Michalowski RL (1997) An estimate of the influence of soil weight on bearing capacity using limit analysis. Soils Found 37(4):57–64CrossRefGoogle Scholar
  21. 21.
    Murray EJ, Geddes JD (1989) Resistance of passive inclined anchors in cohesionless medium. Geotechnique 39(3):417–431Google Scholar
  22. 22.
    Sahoo JP, Kumar J (2015) Ultimate bearing capacity of shallow strip and circular foundations by using limit analysis, finite elements, and optimization. Int J Geotech Eng 9(1):30–41CrossRefGoogle Scholar
  23. 23.
    Schanz T, Vermeer PA, Bonnier PG (1999) The hardening-soil model: formulation and verification. In: Brinkgreve RBJ (ed) Beyond 2000 in computational geotechnics. Balkema, Rotterdam, pp 281–296Google Scholar
  24. 24.
    Sloan SW (1988) Lower bound limit analysis using finite-elements and linear programming. Int J Num Anal Methods Geomech 12(1):61–77CrossRefGoogle Scholar
  25. 25.
    Soubra AH (1999) Upper-bound solutions for bearing capacity of foundations. J Geotech Geoenviron Eng ASCE 125(1):59–68CrossRefGoogle Scholar
  26. 26.
    Terzaghi K (1943) Theoretical soil mechanics. Wiley, New YorkCrossRefGoogle Scholar
  27. 27.
    Ukritchon B, Whittle AJ, Klangvijit C (2003) Calculation of bearing capacity factor Nγ using numerical limit analyses. J Geotech Geoenviron Eng ASCE 129(5):468–474CrossRefGoogle Scholar
  28. 28.
    Veiskarami M, Kumar J, Valikhah F (2014) Effect of the flow rule on the bearing capacity of strip foundations on sand by the upper-bound limit analysis and slip lines. Int J Geomech ASCE 14(3):04014008CrossRefGoogle Scholar
  29. 29.
    Yin J, Wang Y, Selvadurai A (2001) Influence of nonassociativity on the bearing capacity of a strip footing. J Geotech Geoenviron Eng ASCE 127(11):985–989CrossRefGoogle Scholar
  30. 30.
    Ziccarelli M, Valore C, Muscolino SR, Fioravante V (2017) Centrifuge tests on strip footings on sand with a weak layer. Geotech Res 4(1):47–64CrossRefGoogle Scholar
  31. 31.
    Zienkiewicz OC, Humpheson C, Lewis RW (1975) Associated and nonassociated visco-plasticity and plasticity in soil mechanics. Géotechnique 25(4):671–689CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Computational Geomechanics Laboratory, Geotechnical Engineering Division, Department of Civil EngineeringIndian Institute of Technology MadrasChennaiIndia

Personalised recommendations