Foundations bearing capacity subjected to seepage by the kinematic approach of the limit analysis
Foundations bearing capacity subjected to seepage by the kinematic approach of the limit analysis
Mehdi VEISKARAMI1(), Ghasem HABIBAGAHI2
1. Civil Engineering Department, Faculty of Engineering, University of Guilan, Rasht P.O. 41635-3756, Iran; 2. Civil and Environmental Engineering Department, School of Engineering, Shiraz University, Shiraz P.O. 71334-1585, Iran
An estimate of the ultimate load on foundations on soil layers subject to groundwater flow has been presented. The kinematic approach of the limit analysis was employed to find the upper-bound limit of the bearing capacity. Both smooth and rough base strip foundations were considered associated with different collapse patterns. Presence of the groundwater flow leads to a non-symmetric collapse pattern, i.e., a weak side and a strong side in two-sided collapse patterns, depending on the direction of the flow. It was found that the bearing capacity has a decreasing trend with increase in the groundwater flow gradient and hence, a reduction factor has been introduced to the third term in the bearing capacity equation as a function of the flow gradient.
. Foundations bearing capacity subjected to seepage by the kinematic approach of the limit analysis[J]. Frontiers of Structural and Civil Engineering, 2013, 7(4): 446-455.
Mehdi VEISKARAMI, Ghasem HABIBAGAHI. Foundations bearing capacity subjected to seepage by the kinematic approach of the limit analysis. Front Struc Civil Eng, 2013, 7(4): 446-455.
Prandtl L. über die H?rte Plastischer K?rper, Nachr Ges, Wissensch, G?ttingen, Math.-Phys. Klasse , 1920, 74-85
2
Reissner H. Zum Erddruckproblem. In: Biezeno C B, Burgers JM, eds. Proceedings of the 1st International Congress of Applied Mechanics. Delft, the Netherlands , 1924, 295-311
3
Terzaghi K. Theoretical Soil Mechanics. NY: John-Wiley and Sons Inc, 1943
4
Hill R. Mathematical Theory of Plasticity, Oxford University Press , 1950
5
Drucker D C, Prager W. Soil mechanics and plastic analysis or limit design. Quarterly of Applied Mathematics , 1951, 10: 157-165
6
Lundgren H, Mortensen K. Determination by the theory of plasticity on the bearing capacity of continuous footings on sand, In: Proceedings of the 3rd International Conference on Soil Mechanics and Foundation Engineering (SMFE). Zurich , 1953, 1: 409-412
7
Sokolovskii V V. Statics of Soil Media. London: Butterworth. Translated from the 1942 Russian edition . 1960
8
Sabzevari A, Ghahramani A. The limit equilibrium analysis of bearing capacity and earth pressure problems in nonhomogeneous soils. Soils and Foundations , 1972, 12(3): 33-48
9
Bolton M D, Lau C K. Vertical bearing capacity factors for circular and strip footings on Mohr-Coulomb soil. Canadian Geotechnical Journal , 1993, 30(6): 1024-1033 doi: 10.1139/t93-099
10
Michalowski R L. An estimate of the influence of soil weight on bearing capacity using limit analysis. Soils and Foundations , 1997, 37(4): 57-64
11
Michalowski R L, You L. Non-Symmetrical Limit Loads on Strip Footings, Soils and Foundations. Japanese Geotechnical Society , 1998, 38(4): 195-203
12
Michalowski R L, You L. Effective width rule in calculations of bearing capacity of shallow footings. Computers and Geotechnics, Elsevier , 1998b, 23(4): 237-253
13
Michalowski R L. Upper-bound load estimates on square and rectangular footings. Geotechnique , 2001, 51(9): 787-798
14
Kumar J, Mohan Rao V B K. Seismic bearing capacity factors for spread foundations. Geotechnique , 2002, 52(2): 79-88
15
Kumar J, Ghosh P. Bearing capacity factor Nγ for ring footings using the method of characteristics. Canadian Geotechnical Journal , 2005, 42(5): 1474-1484
16
Hjiaj M, Lyamin A V, Sloan S W. Numerical limit analysis solutions for the bearing capacity factor Nγ. International Journal of Solids and Structures , 2005, 42(5-6): 1681-1704
17
Veiskarami M, Kumar J, Valikhah F. Effect of flow rule on the bearing capacity of strip foundations on sand by the upper-bound limit analysis and slip lines. International Journal of Geomechanics , 2013 (in press)
18
Kumar J, Khatri V N. Effect of footing width on Nγ. Canadian Geotechnical Journal, 2008, 45(12): 1673-1684
19
Kumar J. The variation of Nγ with footing roughness using the method of characteristics. International Journal for Numerical and Analytical Methods in Geomechanics , 2009, 33(2): 275-284
20
Jahanandish M, Habibagahi G, Veiskarami M. Bearing Capacity Factor, Nγ, for Unsaturated Soils by ZEL Method. Acta Geotechnica Journal, Springer , 2010a, 5(3): 177-188
21
Bolton M D, Lau C K. Scale effect in the bearing capacity of granular soils. In: Proceedings of the 12th International Conference on Soil Mechanics and Foundation Engineering. Rio De Janeiro, Brazil , 1989, 2: 895-898
22
Cerato A B. Scale Effect of Shallow Foundation Bearing Capacity on Granular Material, Ph.D. Dissertation, University of Massachusetts Amherst , 2005, 461
23
Cerato A B, Lutenegger A J. Scale effect of shallow foundation bearing capacity on granular material. Journal of Geotechnical and Geoenvironmental Engineering , 2007, 133(10): 1192-1202
24
Jahanandish M, Veiskarami M, Ghahramani A. Effect of stress level on the bearing capacity factor, Nγ, by the ZEL method. KSCE Journal of Civil Engineering, Springer , 2010b, 14(5): 709-723
25
Veiskarami M, Jahanandish M, Ghahramani A. Prediction of the bearing capacity and load-displacement behavior of shallow foundations by the stress-level-based ZEL method, Scientia Iranica, Transaction A: Civil Engineering , 2011, 18 (1): 16-27
26
Veiskarami M, Eslami A, Kumar J. End Bearing Capacity of Driven Piles in Sand Using the Stress Characteristics Method: Analysis and Implementation. Canadian Geotechnical Journal , 2011, 48(10): 1570-1586
27
Kumar J, Chakraborty D. Bearing capacity of foundations in the presence of groundwater flow. Geotechnique , 2011 (in press)
28
Veiskarami M, Kumar J. Bearing capacity of foundations subjected to groundwater flow, Geomechanics and Geoengineering. International Journal (Toronto, Ont.) , 2012, 7(4): 293-301
29
Chen W F. Limit Analysis and Soil Plasticity. Amsterdam: Elsevier , 1975
30
Yu H S. Plasticity and Geotechnics, Springer, 2006
31
Drucker D C, Prager W, Greenberg H J. Extended limit design theorems for continuous media. Quarterly of Applied Mathematics , 1952, 9: 381-389
32
Michalowski, R. L. Limit Analysis in Geotechnical Engineering, State-of-the-Art. Selected Topic by the Technical Committee 34 of ISSMGE: Prediction and Simulation Methods in Geomechanics , October 2005, 45-49
33
Chen W F, Liu W. Limit Analysis in Soil Mechanics, Amsterdam: Elsevier , 1990
