Abstract
In general practice, the shallow foundations serve as economic and reliable solution to support high-rise buildings, bridges, and other heavy structures constructed on rock-mass. The aim of the present study is to simulate fractured homogenous rock-mass in finite element framework and to obtain bearing capacity of a strip footing. For this purpose, both displacement-based finite element (FE) analysis and finite element limit analysis (FELA) are carried out and results are compared. Finite element models of the flat rock-mass with supported foundations are developed in finite element package ABAQUS. The foundation is modeled using two-node cubic beam (B23) and rock-mass using plane-strain quadratic (CPE8R) element with reduced integration, having “Equivalent Mohr–Coulomb parameters.” Models with the same rock and foundation properties are modeled in OptumG2 based on FELA to obtain the upper-bound (UB) and lower-bound (LB) solutions with a constitutive model based on the Hoek–Brown failure criterion. The comparative study illustrates the critical issues that arise while implementing the failure criterion using the equivalent Mohr–Coulomb parameters, particularly in bearing capacity estimation, where the overburden pressure is low.
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
Meyerhof, G.: The ultimate bearing capacity of foudations. Geotechnique 2(4), 301–332 (1951)
Hoek, E., Brown, E.T.: Empirical strength criterion for rock masses. J. Geotechn. Geoenviron. Eng. 106(ASCE 15715), 1013–1035 (1980)
Serrano, A., Olalla, C., Gonzalez, J.: Ultimate bearing capacity of rock masses based on the modified Hoek-Brown criterion. Int. J. Rock Mech. Mining Sci. 6(37), 1013–1018 (2000)
Hoek, E., Wood, D., Shah, S.: A modified Hoek–Brown failure criterion for jointed rock masses. In: Rock Characterization: ISRM Symposium, Eurock'92, Chester, UK, 14–17 September 1992 1992, pp. 209–214. Thomas Telford Publishing
Keshavarz, A., Kumar, J.: Bearing capacity of foundations on rock mass using the method of characteristics. Int. J. Numer. Analyt. Methods Geomech. 42(3), 542–557 (2018). https://doi.org/10.1002/nag.2754
Keshavarz, A., Fazeli, A., Sadeghi, S.: Seismic bearing capacity of strip footings on rock masses using the Hoek-Brown failure criterion. J. Rock Mech. Geotech. Eng. 8(2), 170–177 (2016). https://doi.org/10.1016/j.jrmge.2015.10.003
Yang, X.-L., Yin, J.-H.: Upper bound solution for ultimate bearing capacity with a modified Hoek-Brown failure criterion. Int. J. Rock Mech. 42(4), 550–560 (2005). https://doi.org/10.1016/j.ijrmms.2005.03.002
Chen, W.-F.: Limit Analysis and Soil Plasticity. Elsevier (2013)
Merifield, R.S., Lyamin, A.V., Sloan, S.W.: Limit analysis solutions for the bearing capacity of rock masses using the generalised Hoek-Brown criterion. Int. J. Rock Mech. Mining Sci. 43(6), 920–937 (2006). https://doi.org/10.1016/j.ijrmms.2006.02.001
Hoek, E., Carranza-Torres, C., Corkum, B.J.P.O.N.-T.: Hoek-Brown failure criterion-2002 edition. 1(1), 267–273 (2002)
Saada, Z., Maghous, S., Garnier, D.: Bearing capacity of shallow foundations on rocks obeying a modified Hoek-Brown failure criterion. Comput. Geotech. 35(2), 144–154 (2008). https://doi.org/10.1016/j.compgeo.2007.06.003
Clausen, J.: Bearing capacity of circular footings on a Hoek–Brown material. Int. J. Rock Mech. Mining Sci 57, 34–41 (2013) https://doi.org/10.1016/j.ijrmms.2012.08.004
Hoek, E.: A brief history of the development of the Hoek-Brown failure criterion (2002)
Hoek, E.: Estimating Mohr-Coulomb friction and cohesion values from the Hoek-Brown failure criterion. Int. J. Rock Mech. & Min. Sci. & Geomech. Abstracts 3, 227–229 (1990)
Hoek, E., Brown, E.T.: Practical estimates of rock mass strength. Int. J. Rock Mech. Mining Sci. 34(8), 1165–1186 (1997). https://doi.org/10.1016/S1365-1609(97)80069-X
Abaqus: ABAQUS Documentation Dassault Systèmes, vol. 76. pp. 68–77. Providence, RI, U.S.A. (2016)
OptumG2: v2.2018.02.09, Optum Computational Engineering, vol. 76. pp. 68–77. Copenhagen NV, Denmark (2018)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Prakash, S., Raj, D., Singh, Y. (2021). Foundation Bearing Capacity Estimation on Rock-Mass Using Hoek–Brown Failure Criterion and Equivalent Mohr–Coulomb Parameters. In: Patel, S., Solanki, C.H., Reddy, K.R., Shukla, S.K. (eds) Proceedings of the Indian Geotechnical Conference 2019. Lecture Notes in Civil Engineering, vol 133. Springer, Singapore. https://doi.org/10.1007/978-981-33-6346-5_19
Download citation
DOI: https://doi.org/10.1007/978-981-33-6346-5_19
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-33-6345-8
Online ISBN: 978-981-33-6346-5
eBook Packages: EngineeringEngineering (R0)