Abstract
The classical bearing capacity theories adopt a plane-strain framework along with an elastic-perfectly plastic Mohr-Coulomb (MC) constitutive response of soil. It is well known that associative MC model fails to capture the evolution of principal stress and suffers from excessive dilation prediction. A non-associative extension of MC model is often employed to control such excessive dilation response; however, their applicability in prediction of 3D bearing capacity of footings should be explored. Further, the critical state based Modified Cam-Clay (MCC) models are expected to delineate a better stress-strain prediction of soil and it will be interesting to examine the 3D bearing capacity estimates of regular shaped foundations employing these two different models. In this regard, this article addresses the finite-element based bearing capacity estimation of a square footing resting on the surface of a semi-infinite homogeneous soil medium. The footing is represented by linear-elastic element, while the foundation soil has been represented by both non-associative MC and MCC models. Comparison of the load-displacement response of the uniformly loaded footing, obtained from considering the MC and MCC models, clearly delineates the shortcoming of the MC and necessity of adopting MCC behaviour in a 3-dimensional geotechnical problem.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Abed, A.A., Vermeer, P.A.: Numerical simulation of unsaturated soil behavior. In: Proceedings of the 1st Euro Mediterranean Conference on Advances in Geomaterials and Structures, Tunisia, pp. 1–8 (2004)
Acharyya, R., Dey, A.: Evaluation of slip mechanism beneath the shallow footing resting on plane ground by altering flow-rules. In: National Seminar on Advanced Construction and Computational Tools in Geotechniques – Practice to Theory, Indian Geotechnical Society, Kolkata, West Bengal, India, pp. 1–8 (2018)
Acharyya, R., Dey, A.: Importance of dilatancy on the evolution of failure mechanism of a strip footing resting on horizontal ground. INAE Lett. 3(3), 131–142 (2018a)
Acharyya, R., Dey, A.: Assessment of failure mechanism of a strip footing on horizontal ground considering flow rules. Innov. Infrastruct. Solut. 3(49), 1–16 (2018b)
Acharyya, R., Dey, A. Kumar, B.: Finite element and ANN-based prediction of bearing capacity of square footing resting on the crest of c-φ soil slope. Int. J. Geotech. Eng. (2018). https://doi.org/10.1080/19386362.2018.1435022
Benmebarek, S., Remadna, M.S., Benmebarek, N., Belounar, L.: Numerical evaluation of the bearing capacity factor \( N_{\gamma }^{\prime } \) of ring footings. Comput. Geotechn. 44, 132–138 (2012)
Bolton, M.D., Lau, C.K.: Vertical bearing capacity factors for circular and strip footings on Mohr-Coulomb soil. Can. Geotech. J. 30, 1024–1033 (1993)
Cerato, A.B., Lutenegger, A.J.: Bearing capacity of square and circular footings on a finite layer of granular soil underlain by a rigid base. J. Geotech. Geoenviron. Eng. 132(11), 1496–1501 (2006)
Dey, A., Mukherjee, M., Acharyya, R.: Importance of constitutive model in assessing 3-D bearing capacity of square footing on clayey soil using finite element analysis. In: 11th Structural Engineering Convention, Kolkata, India, pp. 1–6 (2018)
Drescher, A., Detournay, E.: Limit load in translational failure mechanisms for associative and non-associative materials. Geotechnique 43(3), 443–456 (1993)
Hanna, A., Rahman, A.M.E.: Ultimate bearing capacity of triangular shell strip footings on sand. J. Geotech. Geoenviron. Eng. 116(12), 1851–1863 (1990)
Hanna, A.M.: Bearing capacity of foundations on a weak sand layer overlaying a strong deposit. Can. Geotech. J. 19(3), 392–396 (1982)
Lim, A., Ou, C.-Y., Hsieh, P.G.: Evaluation of clay constitutive models for analysis of deep excavation under undrained conditions. J. GeoEng. 5, 9–20 (2010)
Loukidis, D., Salgado, R.: Bearing capacity of strip and circular footings in sand using finite elements. Comput. Geotech. 36, 871–879 (2009)
Manoharan, N., Dasgupta, S.P.: Bearing capacity of surface footings by finite elements. Comput. Geotech. 54(4), 563–586 (1995)
Meyerhof, G.G.: The ultimate bearing capacity of foundations. Geotechnique 2, 301–332 (1951)
Meyerhof, G.G., Koumoto, T.: Inclination factors for bearing capacity of shallow footings. J. Geotech. Geoenviron. Eng. 113(9), 1013–1018 (1987)
Nova, R., Montrasio, L.: Settlements of shallow foundations on sand. Geotechnique 41(2), 243–256 (1991)
Oh, W.T., Vanapalli, S.K.: Modeling the stress versus settlement behaviour of shallow foundations in unsaturated cohesive soils extending the modified total stress approach. Soils Found. 58, 382–397 (2018)
Reddy, A.S., Singh, A.K., Karnik, S.S.: Bearing capacity of clays whose cohesion increases linearly with depth. J. Geotech. Geoenviron. Eng. 117(2), 348–353 (1991)
Shiau, J.S., Lyamin, A.V., Sloan, S.W.: Bearing capacity of a sand layer on clay by finite element limit analysis. Can. Geotech. J. 40, 900–915 (2003)
Terzaghi, K.: Theoretical Soil Mechanics. Wiley, New York (1943)
Vermeer, P.A., de Borst, R.: Non-associative plasticity for soils, concrete and rock. Heron 29(3), 1–64 (1984)
Vesic, A.S.: Analysis of ultimate loads of shallow foundation. J. Soil Mech. Found. Div. 99(SM1), 45–73 (1973)
Wang, D., Bienen, B.: Numerical investigation of penetration of a large-diameter footing into normally consolidated Kaolin clay with a consolidation phase. Geotechnique 66, 947–952 (2016)
Yang, F., Zheng, X.C., Zhao, L.H., Tan, Y.G.: Ultimate bearing capacity of a strip footing placed on sand with a rigid basement. Comput. Geotech. 77, 115–119 (2016)
Zhao, L., Yang, F., Dan, H.: The influence of horizontal confinement on the bearing capacity factor Nγ of smooth strip footing. Comput. Geotech. 61, 127–131 (2014)
Acknowledgments
The authors would like to thank Dr. Rana Acharyya, Post-Doctoral Researcher, IIT Bombay for his help in creating the PLAXIS 3D models.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Mukherjee, M., Dey, A. (2020). Bearing Capacity of Square Footing: A Comparative Study Employing Non-associative MC and MCC Model. In: Shehata, H., Das, B., Selvadurai, A., Fayed, A. (eds) Advanced Numerical Methods in Foundation Engineering. GeoMEast 2019. Sustainable Civil Infrastructures. Springer, Cham. https://doi.org/10.1007/978-3-030-34193-0_3
Download citation
DOI: https://doi.org/10.1007/978-3-030-34193-0_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-34192-3
Online ISBN: 978-3-030-34193-0
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)