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

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.

Keywords

energy dissipation / bearing capacity / soil slope / model experiment

References

[1] YangX.-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

[2] BudhuM., Al-KarniA.. Seismic bearing capacity of soils[J]. Geotechnique, 1993, 43(2): 181-187

[3] ZhuD. Y.. The least upper bound solutions for bearing capacity factor N_r[J]. Soils and Foundations, 2000, 40(1): 123-129

[4] MichalowskiR. L., ParkN.. Admissible stress fields and arching in piles of sand[J]. Geotechnique, 2004, 54(8): 529-538

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

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

[7] UkritchonB., WhittleA. J., KlangvijitC.. Calculations of bearing capacity factor using numerical limit analysis[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2003, 129(5): 468-474

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

[9] YinJ.-h., WangY.-j., SelvaduraiA. P.. Influence of non-association on bearing capacity of a strip footing[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2001, 127(11): 985-989

[10] YangX.-l., ZouJ.-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

[11] YangX.-l., YinJ.-hua.. Estimation of seismic passive earth pressure with non-linear failure criterion[J]. Engineering Structures, 2006, 28(3): 342-348

[12] YangX.-l., YinJ.-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

[13] YangX.-l., YinJ.-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

[14] YangX.-l., LiL., YinJ.-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

[15] YangX.-l., LiL., YinJ.-hua.. Seismic and static stability analysis for rock slopes by a kinematical approach[J]. Geotechnique, 2004, 54(8): 543-549

[16] YangX.-l., YinJ.-hua.. Slope stability analysis with nonlinear failure criterion[J]. Journal of Engineering Mechanics, 2004, 130(3): 267-273

[17] YangX.-l., YinJ.-h., LiLiang.. 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