Abstract
By using the lower and upper bound limit analysis in conjunction with finite elements and nonlinear optimization undrained bearing capacity of rough circular and strip foundation resting on two layered clayey soil is computed. The circular and the strip foundation are analyzed by assuming the axisymmetric and the plane strain condition, respectively. The clay is assumed to follow Mohr–Coulomb yield criteria and an associated flow rule. Results are provided for different (i) t/b ratio and (ii) cu1/cu2 ratio; where, t = top layer thickness, b = diameter/width of the foundation, and cu1 and cu2 refers to the undrained cohesion of the top and bottom layers, respectively. The results indicate that there is an optimum t/b ratio beyond which the bearing capacity remains the same. The magnitude of the optimum t/b ratio depends on cu1/cu2 ratio and the type of the foundation. For the same cu1/cu2 ratio, the optimum t/b ratio for the circular foundation is less in comparison to the strip foundation. The obtained numerical solutions are in good agreement with the previously available literatures. Failure patterns and nodal velocity contour are provided for a few cases.
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References
Reddy AS, Srinivasan RJ (1967) Bearing capacity of footings on layered clays. J. Soil Mech. Found. Div., ASCE 93, SM2, 83-99
Brown JD, Meyerhof GG (1969) An experimental study of ultimate bearing capacity of layered clay foundations. In: Proceedings of 7th international conference on soil mechanics and foundation engineering, Sociedad Mexicana de Mecanica de Suelos, Mexico City, 45–51
Chen WF (1975) Limit analysis and soil plasticity. Elsevier, Amsterdam
Meyerhof GG, Hanna AM (1978) Ultimate bearing capacity of foundations on layered soils under inclined load. Can Geotech J 15:565–572
Georgiadis M, Michalopoulos AP (1985) Bearing capacity of gravity bases on layered soil. J. Geotech. Eng. 111:712–729
Merifield R, Sloan SW, Yu HS (1999) Rigorous solutions for the bearing capacity of two-layered clay soils. Geotechnique 49:471–490
Michalowski R (2002) Collapse loads over two-layer clay foundation soils. Soils Found 42:1–7
Kuo YL, Jaksa M, Lyamin A, Kaggwa WS (2008) ANN-based model for predicting the bearing capacity of strip footing on multi-layered cohesive soil. Computers and Geotechnics. 36. https://doi.org/10.1016/j.compgeo.2008.07.002
Benmebarek S, Benmoussa S, Belounar L, Benmebarek N (2012) Bearing capacity of shallow foundation on two clay layers by numerical approach. Geotech Geol Eng 30. https://doi.org/10.1007/s10706-012-9513-6
Ahmadi MM, Kouchaki BM (2016) New and simple equations for ultimate bearing capacity of strip footings on two-layered clays: numerical study. Int J Geomech 16(4):06015014
Sloan SW (1988) Lower bound limit analysis using finite elements and linear programming. Int. J. Numer. Anal. Methods Geomech. 12:61–77
Sloan SW, Kleeman PW (1995) Upper bound limit analysis using discontinuous velocity fields. Comp. Methods Applied Mech. Eng. 127(1):293–314
Makrodimopoulos A, Martin CM (2006) Lower bound limit analysis of cohesive frictional materials using second-order cone programming. Int J Numer Meth Eng 66:604–634
Makrodimopoulos A, Martin CM (2007) Upper bound limit analysis using simplex strain elements and second-order cone programming. Int J Numer Anal Meth Geomech 31:835–865
Chakraborty M, Kumar J (2014) Lower bound axisymmetric formulation for geomechanics problems using nonlinear optimization. Int J Geomech 15:06014024
Kumar J, Khatri VN (2011) Bearing capacity factors of circular foundations for a general c-φ soil using lower bound finite elements limit analysis. Int J Numer Anal Methods Geomech 35(3):393–405
Kumar J, Chakraborty M (2014) Upper-bound axisymmetric limit analysis using the Mohr-Coulomb yield criterion, finite elements, and linear optimization. J Eng Mech 140(12):06014012
Optum G2, Version: 2018.06.08 (academic license) Optum Computational Engineering, Copenhagen, Denmark
Kumar J, Chakraborty M (2015) Bearing capacity of a circular foundation on layered sand–clay media. Soils and Found. 55(5):1058–1068
Acknowledgements
The corresponding author acknowledges the support of “Department of Science and Technology (DST), Government of India” under grant number DST/INSPIRE/04/2016/001692.
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Kumar, P., Chakraborty, M. (2020). Bearing Capacity of Shallow Circular and Strip Foundation Resting on Two Layered Clays. In: Prashant, A., Sachan, A., Desai, C. (eds) Advances in Computer Methods and Geomechanics . Lecture Notes in Civil Engineering, vol 55. Springer, Singapore. https://doi.org/10.1007/978-981-15-0886-8_47
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DOI: https://doi.org/10.1007/978-981-15-0886-8_47
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