Discrete Element Modeling on Bearing Capacity Problems
In this paper, the classical bearing capacity problem is re-considered from discrete element analysis. In the discrete element approach, the bearing capacity problem is considered from the elastic stage to plastic stage to rupture stage (large displacement). The bearing capacity failure mechanism of a strip footing on soil is investigated, and the influence of micro-parameters on the bearing capacity of soil is also observed. It is found that the distinct element method (DEM) gives very good visualized results, and basically coincides well with that derived by the classical methods.
[1] M.D. Bolton and C.K. Lau, “Vertical bearing capacity factors for circular and strip footings on Mohr-Coulomb soil”. Canadian Geotechnical Journal, 30(4):1024–1033, 1993.
[2] W.F. Chen, Limit analysis and soil plasticity. Elsevier, New York, 1975.
[3] Y.M. Cheng and S.K. Au, “Slip line solution of bearing capacity problems with inclined ground”. Canadian Geotechnical Journal, vol.42, 1232-1241, 2005.
[4] P.A. Cundall and O.D.L.Strack, “A discrete model for granular assemblies”. Geotechnique, 29(1):47-65, 1979.
[5] A. Drescher and E.Detournay, “Limit load in translational failure mechanisms for associative and non-associative materials”. Geotechnique, London, 43(3), 443–456, 1993.
[6] S. Frydman and H.J. Burd, “Numerical studies of bearing-capacity factor N-gamma”. J. Geotech. and Geoenvir. Engrg., ASCE, 123(1): 20-29, 1997.
[7] D.V. Griffiths, “Computation of Bearing Capacity Factors Using Finite-Elements”. Geotechnique, 32(3): 195-202, 1982.
[8] B.J. Hansen, “A general formula for bearing capacity”. Bull. Dan. Geotech. Inst., 11: 38–46, 1961.
[9] Itasca, PFC2D 3.10 Particle Flow Code in Two Dimensions, Theory and Background volume (Third ed.). Minneapolis, Minnesota, 2004.
[10] G.G. Meyerhof, “The ultimate bearing capacity of foundations”. Geotechnique, 2: 301-332, 1951.
[11] R.L. Michalowski, “Slope stability analysis: A kinematical approach”. Geotechnique, London, 45(2), 283–293, 1995.
[12] R.L. Michalowski, “An estimate of the influence of soil weight on bearing capacity using limit analysis”. Soils and Found., Tokyo,37(4), 57–64, 1997.
[13] L. Prandtl, “Über die Härte plastischer Körper”. Göttingen Nachr. Math. Phys. K1., 12, 74-85, 1920.
[14] R.T. Shield, “Plastic potential theory and the Prandtl bearing capacity solution”. J. Appl. Mech., 21, 193–194, 1954a.
[15] R.T. Shield, “Stress and velocity fields in soil mechanics”. J. Math. Phys., 33(2), 144–156, 1954b.
[16] V.V. Sokolovskii, Statics of Granular Media, Pergamon Press, 1965.
[17] A.H. Soubra, “Upper-bound solutions for bearing capacity of foundations”. J. Geotech. and Geoenvir. Engrg., ASCE, 125(1), 59–68, 1999.
[18] K. Terzaghi, Theoretical soil mechanics. New York: Willey, 1943.
[19] A.S. Vesic, “Analysis of ultimate loads of shallow foundations”. J. Soil Mech. Found. Div., ASCE 99, No. SM1, 45–73, 1973.
[1] M.D. Bolton and C.K. Lau, “Vertical bearing capacity factors for circular and strip footings on Mohr-Coulomb soil”. Canadian Geotechnical Journal, 30(4):1024–1033, 1993.
[2] W.F. Chen, Limit analysis and soil plasticity. Elsevier, New York, 1975.
[3] Y.M. Cheng and S.K. Au, “Slip line solution of bearing capacity problems with inclined ground”. Canadian Geotechnical Journal, vol.42, 1232-1241, 2005.
[4] P.A. Cundall and O.D.L.Strack, “A discrete model for granular assemblies”. Geotechnique, 29(1):47-65, 1979.
[5] A. Drescher and E.Detournay, “Limit load in translational failure mechanisms for associative and non-associative materials”. Geotechnique, London, 43(3), 443–456, 1993.
[6] S. Frydman and H.J. Burd, “Numerical studies of bearing-capacity factor N-gamma”. J. Geotech. and Geoenvir. Engrg., ASCE, 123(1): 20-29, 1997.
[7] D.V. Griffiths, “Computation of Bearing Capacity Factors Using Finite-Elements”. Geotechnique, 32(3): 195-202, 1982.
[8] B.J. Hansen, “A general formula for bearing capacity”. Bull. Dan. Geotech. Inst., 11: 38–46, 1961.
[9] Itasca, PFC2D 3.10 Particle Flow Code in Two Dimensions, Theory and Background volume (Third ed.). Minneapolis, Minnesota, 2004.
[10] G.G. Meyerhof, “The ultimate bearing capacity of foundations”. Geotechnique, 2: 301-332, 1951.
[11] R.L. Michalowski, “Slope stability analysis: A kinematical approach”. Geotechnique, London, 45(2), 283–293, 1995.
[12] R.L. Michalowski, “An estimate of the influence of soil weight on bearing capacity using limit analysis”. Soils and Found., Tokyo,37(4), 57–64, 1997.
[13] L. Prandtl, “Über die Härte plastischer Körper”. Göttingen Nachr. Math. Phys. K1., 12, 74-85, 1920.
[14] R.T. Shield, “Plastic potential theory and the Prandtl bearing capacity solution”. J. Appl. Mech., 21, 193–194, 1954a.
[15] R.T. Shield, “Stress and velocity fields in soil mechanics”. J. Math. Phys., 33(2), 144–156, 1954b.
[16] V.V. Sokolovskii, Statics of Granular Media, Pergamon Press, 1965.
[17] A.H. Soubra, “Upper-bound solutions for bearing capacity of foundations”. J. Geotech. and Geoenvir. Engrg., ASCE, 125(1), 59–68, 1999.
[18] K. Terzaghi, Theoretical soil mechanics. New York: Willey, 1943.
[19] A.S. Vesic, “Analysis of ultimate loads of shallow foundations”. J. Soil Mech. Found. Div., ASCE 99, No. SM1, 45–73, 1973.
@article{"International Journal of Earth, Energy and Environmental Sciences:72969", author = "N. Li and Y. M. Cheng", title = "Discrete Element Modeling on Bearing Capacity Problems", abstract = "In this paper, the classical bearing capacity problem is re-considered from discrete element analysis. In the discrete element approach, the bearing capacity problem is considered from the elastic stage to plastic stage to rupture stage (large displacement). The bearing capacity failure mechanism of a strip footing on soil is investigated, and the influence of micro-parameters on the bearing capacity of soil is also observed. It is found that the distinct element method (DEM) gives very good visualized results, and basically coincides well with that derived by the classical methods.
", keywords = "Bearing capacity, distinct element method, failure mechanism, large displacement.", volume = "10", number = "6", pages = "618-8", }
