Skip to main content
Log in

Bearing capacity of foundation on slope determined by energy dissipation method and model experiments

  • Published:
Journal of Central South University of Technology Aims and scope Submit manuscript

Abstract

To determine the ultimate bearing capacity of foundations on sloping ground surface in practice, energy dissipation method was used to formulate the bearing capacity as programming problem, and full-scale model experiments were investigated to analyze the performance of the soil slopes loaded by a strip footing in laboratory. The soil failure is governed by a linear Mohr-Coulomb yield criterion, and soil deformation follows an associated flow rule. Based on the energy dissipation method of plastic mechanics, a multi-wedge translational failure mechanism was employed to obtain the three bearing capacity factors related to cohesion, equivalent surcharge load and the unit gravity for various slope inclination angles. Numerical results were compared with those of the published solutions using finite element method and those of model experiments. The bearing capacity factors were presented in the form of design charts for practical use in engineering. The results show that limit analysis solutions approximate to those of model tests, and that the energy dissipation method is effective to estimate bearing capacity of soil slope.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. YANG Xiao-li. Upper bound analysis of active earth pressure with different fracture surface and nonlinear yield criterion[J]. Theoretical and Applied Fracture Mechanics, 2007, 47(1): 46–56.

    Article  Google Scholar 

  2. BUDHU M, AL-KARNI A. Seismic bearing capacity of soils[J]. Geotechnique, 1993, 43(2): 181–187.

    Google Scholar 

  3. ZHU D Y. The least upper bound solutions for bearing capacity factor N r[J]. Soils and Foundations, 2000, 40(1): 123–129.

    Google Scholar 

  4. MICHALOWSKI R L, PARK N. Admissible stress fields and arching in piles of sand[J]. Geotechnique, 2004, 54(8): 529–538.

    Google Scholar 

  5. BOLTON M D, LAU C K. Vertical bearing capacity factors for circular and strip footings on Mohr-Coulomb soil[J]. Canadian Geotechnical Journal, 1993, 38(5): 1090–1096.

    Google Scholar 

  6. CHEN W F. Limit analysis and soil plasticity[M]. Amsterdam: Elsevier Scientific Publishing Company, 1975: 1–80.

    Google Scholar 

  7. UKRITCHON B, WHITTLE A J, KLANGVIJIT C. Calculations of bearing capacity factor using numerical limit analysis[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2003, 129(5): 468–474.

    Article  Google Scholar 

  8. MICHALOWSKI R L. An estimate of the influence of soil weight on bearing capacity using limit analysis[J]. Soils and Foundations, 1997, 37(4): 57–64.

    Google Scholar 

  9. YIN Jian-hua, WANG Yue-jie, SELVADURAI A P. Influence of non-association on bearing capacity of a strip footing[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2001, 127(11): 985–989.

    Article  Google Scholar 

  10. YANG Xiao-li, ZOU Jin-feng. Stability factors for rock slopes subjected to pore water pressure based on the Hoek-Brown failure criterion[J]. International Journal of Rock Mechanics and Mining Sciences, 2006, 43(7): 1146–1152.

    Article  Google Scholar 

  11. YANG Xiao-li, YIN Jian-hua. Estimation of seismic passive earth pressure with non-linear failure criterion[J]. Engineering Structures, 2006, 28(3): 342–348.

    Article  Google Scholar 

  12. YANG Xiao-li, YIN Jian-hua. Linear Mohr-Coulomb strength parameters from the nonlinear Hoek-Brown rock masses[J]. International Journal of Non-linear Mechanics, 2006, 41(8): 1000–1005.

    Article  Google Scholar 

  13. YANG Xiao-li, YIN Jian-hua. Upper bound solution for ultimate bearing capacity with a modified Hoek-Brown failure criterion[J]. International Journal of Rock Mechanics and Mining Sciences, 2005, 42(4): 550–560.

    Article  MathSciNet  Google Scholar 

  14. YANG Xiao-li, LI Liang, YIN Jian-hua. Stability analysis of rock slopes with a modified Hoek-Brown failure criterion[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2004, 28(2): 181–190.

    Article  MATH  Google Scholar 

  15. YANG Xiao-li, LI Liang, YIN Jian-hua. Seismic and static stability analysis for rock slopes by a kinematical approach[J]. Geotechnique, 2004, 54(8): 543–549.

    Article  Google Scholar 

  16. YANG Xiao-li, YIN Jian-hua. Slope stability analysis with nonlinear failure criterion[J]. Journal of Engineering Mechanics, 2004, 130(3): 267–273.

    Article  Google Scholar 

  17. YANG Xiao-li, YIN Jian-hua, LI Liang. Influence of a nonlinear failure criterion on the bearing capacity of a strip footing resting on rock mass using a lower bound approach[J]. Canadian Geotechnical Journal, 2003, 40(3): 702–707.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yang Xiao-li  (杨小礼).

Additional information

Foundation item: Project(50408020) supported by the National Natural Science Foundation of China; project(05-0686) supported by the Program of New Century Excellent Talents in University; project(200550) supported by the Foundation for the Author of National Excellent Doctoral Dissertation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, Xl., Wang, Zb., Zou, Jf. et al. Bearing capacity of foundation on slope determined by energy dissipation method and model experiments. J Cent. South Univ. Technol. 14, 125–128 (2007). https://doi.org/10.1007/s11771-007-0025-0

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-007-0025-0

Key words

Navigation