References
- AlKhafaji, H., Imani, M., and Fahimifar, A., 2020. Ultimate bearing capacity of rock mass foundations subjected to seepage forces using modified Hoek–Brown criterion. Rock Mechanics and Rock Engineering, 53 (1), 251–268. doi:https://doi.org/10.1007/s00603-019-01905-6.
- Chakraborty, M. and Kumar, J., 2015. Bearing capacity of circular footings over rock mass by using axisymmetric quasi lower bound finite element limit analysis. Computers and Geotechnics, 70, 138–149. doi:https://doi.org/10.1016/j.compgeo.2015.07.015
- Das, B.M. and Larbi-Cherif, S., 1983. Bearing capacity of two closely-spaced shallow foundations on sand. Soils and Foundations, 23 (1), 1–7. doi:https://doi.org/10.3208/sandf1972.23.1.
- Drucker, D.C. and Prager, W., 1952. Soil mechanics and plastic analysis or limit design. Quarterly of Applied Mathematics, 10 (2), 157–165. doi:https://doi.org/10.1090/qam/48291.
- Ekbote, A.G. and Nainegali, L., 2019. Finite element analysis of two nearby interfering asymmetric footings embedded in cohesionless foundation medium. Geomechanics and Geoengineering, 1–14. doi:https://doi.org/10.1080/17486025.2019.1664776.
- Ghosh, P. and Kumar, S., 2011. Interference effect of two nearby strip surface footings on cohesionless layered soil. International Journal of Geotechnical Engineering, 5 (1), 87–94. doi:https://doi.org/10.3328/IJGE.2011.05.01.87-94.
- Graham, J., Raymond, G.P., and Suppiah, A., 1984. Bearing capacity of three closely-spaced footings on sand. Geotechnique, 34 (2), 173–81. doi:https://doi.org/10.1680/geot.1984.34.2.173.
- Griffiths, D.V., Fenton, G.A., and Manoharan, N., 2006. Undrained bearing capacity of two-strip footings on spatially random soil. International Journal of Geomechanics, 6 (6), 421–427. doi:https://doi.org/10.1061/(ASCE)1532-3641(2006)6:6(421).
- Hoek, E. and Brown, E.T., 1980. Empirical strength criterion for rock masses. Journal of Geotechnical and Geoenvironmental Engineering, 106, 1013–1035.
- Hoek, E. and Brown, E.T., 2019. The Hoek–Brown failure criterion and GSI–2018 edition. Journal of Rock Mechanics and Geotechnical Engineering, 11 (3), 445–463. doi:https://doi.org/10.1016/j.jrmge.2018.08.001.
- Hoek, E., Carranza-Torres, C., and Corkum, B., 2002. Hoek-Brown failure criterion-2002 edition. Proceedings of NARMS-Tac, 1 (1), 267–273.
- Javid, A.H., Fahimifar, A., and Imani, M., 2015. Numerical investigation on the bearing capacity of two interfering strip footings resting on a rock mass. Computers and Geotechnics, 69, 514–528. doi:https://doi.org/10.1016/j.compgeo.2015.06.005
- Keshavarz, A. and Kumar, J., 2018. Bearing capacity of foundations on rock mass using the method of characteristics. International Journal for Numerical and Analytical Methods in Geomechanics, 42 (3), 542–557. doi:https://doi.org/10.1002/nag.2754.
- Kouzer, K.M. and Kumar, J., 2008. Ultimate bearing capacity of equally spaced multiple strip footings on cohesionless soils without surcharge. International Journal for Numerical and Analytical Methods in Geomechanics, 32 (11), 1417–1426. doi:https://doi.org/10.1002/nag.677.
- Krabbenhøft, K., Lyamin, A.V., and Sloan, S.W., 2008. Three‐dimensional Mohr–Coulomb limit analysis using semidefinite programming. Communications in Numerical Methods in Engineering, 24 (11), 1107–1119.
- Kumar, A. and Saran, S., 2003. Closely spaced footings on geogrid-reinforced sand. Journal of Geotechnical and Geoenvironmental Engineering, 129 (7), 660–664. doi:https://doi.org/10.1061/(ASCE)1090-0241(2003)129:7(660).
- Kumar, J. and Bhattacharya, P., 2010. Bearing capacity of interfering multiple strip footings by using lower bound finite elements limit analysis. Computers and Geotechnics, 37 (5), 731–736. doi:https://doi.org/10.1016/j.compgeo.2010.05.002.
- Kumar, J. and Bhattacharya, P., 2013. Bearing capacity of two interfering strip footings from lower bound finite elements limit analysis. International Journal for Numerical and Analytical Methods in Geomechanics, 37 (5), 441–452. doi:https://doi.org/10.1002/nag.1104.
- Kumar, J. and Bhoi, M.K., 2008. Interference of multiple strip footings on sand using small scale model tests. Geotechnical and Geological Engineering, 26 (4), 469–477. doi:https://doi.org/10.1007/s10706-008-9175-6.
- Kumar, J. and Bhoi, M.K., 2009. Interference of two closely spaced strip footings on sand using model tests. Journal of Geotechnical and Geoenvironmental Engineering, 135 (4), 595–604. doi:https://doi.org/10.1061/(ASCE)1090-0241(2009)135:4(595).
- Kumar, J. and Ghosh, P., 2007. Ultimate bearing capacity of two interfering rough strip footings. International Journal of Geomechanics, 7 (1), 53–62. doi:https://doi.org/10.1061/(ASCE)1532-3641(2007)7:1(53).
- Kumar, J. and Kouzer, K.M., 2008. Bearing capacity of two interfering footings. International Journal for Numerical and Analytical Methods in Geomechanics, 32 (3), 251–264. doi:https://doi.org/10.1002/nag.625.
- Kumar, J. and Mohapatra, D., 2017. Lower-bound finite elements limit analysis for Hoek-Brown materials using semidefinite programming. Journal of Engineering Mechanics, 143 (9), 04017077. doi:https://doi.org/10.1061/(ASCE)EM.1943-7889.0001296.
- Kumar, J. and Rahaman, O., 2020. Lower bound limit analysis of unsupported vertical circular excavations in rocks using Hoek‐Brown failure criterion. International Journal for Numerical and Analytical Methods in Geomechanics, 44 (7), 1093–1106. doi:https://doi.org/10.1002/nag.3051.
- Lee, J. and Eun, J., 2009. Estimation of bearing capacity for multiple footings in sand. Computers and Geotechnics, 36 (6), 1000–1008. doi:https://doi.org/10.1016/j.compgeo.2009.03.009.
- Li, A.J., Merifield, R.S., and Lyamin, A.V., 2008. Stability charts for rock slopes based on the Hoek-Brown failure criterion. International Journal of Rock Mechanics and Mining Sciences, 45 (5), 689–700.
- Lysmer, J., 1970. Limit analysis of plane problems in soil mechanics. Journal of Soil Mechanics and Foundations Division, 96 (4), 1311–1334. doi:https://doi.org/10.1061/JSFEAQ.0001441.
- Mabrouki, A., et al., 2010. Numerical study of the bearing capacity for two interfering strip footings on sands. Computers and Geotechnics, 37 (4), 431–439. doi:https://doi.org/10.1016/j.compgeo.2009.12.007.
- MATLAB 8.5 [Computer software]. 2015. Version 8.5 (R2015a). Natick, MA: The MathWorks Inc.
- Merifield, R.S., Lyamin, A.V., and Sloan, S.W., 2006. Limit analysis solutions for the bearing capacity of rock masses using the generalised Hoek–Brown criterion. International Journal of Rock Mechanics and Mining Sciences, 43 (6), 920–937.
- MOSEK ApS [Computer software]. 2019. Mosek optimization toolbox for matlab. User’s guide and reference manual, version 8.1. Copenhagen, Denmark: MOSEK.
- Nainegali, L., Basudhar, P.K., and Ghosh, P., 2018. Interference of strip footings resting on nonlinearly elastic foundation bed: a finite element analysis. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 42 (2), 199–206. doi:https://doi.org/10.1007/s40996-018-0094-3.
- Rahaman, O. and Kumar, J., 2020. Stability analysis of twin horse-shoe shaped tunnels in rock mass. Tunnelling and Underground Space Technology, 98, 103354. doi:https://doi.org/10.1016/j.tust.2020.103354
- Saada, Z., Maghous, S., and Garnier, D., 2008. Bearing capacity of shallow foundations on rocks obeying a modified Hoek–Brown failure criterion. Computers and Geotechnics, 35 (2), 144–154. doi:https://doi.org/10.1016/j.compgeo.2007.06.003.
- Saha Roy, S. and Deb, K., 2019. Interference effect of closely spaced footings resting on granular fill over soft clay. International Journal of Geomechanics, 19 (1), 04018181. doi:https://doi.org/10.1061/(ASCE)GM.1943-5622.0001324.
- Sloan, S.W., 1988. Lower bound limit analysis using finite elements and linear programming. International Journal for Numerical and Analytical Methods in Geomechanics, 12 (1), 61–77. doi:https://doi.org/10.1002/nag.1610120105.
- Sloan, S.W., 2013. Geotechnical stability analysis. Géotechnique, 63 (7), 531–571. doi:https://doi.org/10.1680/geot.12.RL.001.
- Stuart, J.G., 1962. Interference between foundations, with special reference to surface footings in sand. Geotechnique, 12 (1), 15–22. doi:https://doi.org/10.1680/geot.1962.12.1.15.
- Ukritchon, B. and Keawsawasvong, S., 2019a. Lower bound stability analysis of plane strain headings in Hoek-Brown rock masses. Tunnelling and Underground Space Technology, 84, 99–112. doi:https://doi.org/10.1016/j.tust.2018.11.002
- Ukritchon, B. and Keawsawasvong, S., 2019b. Stability of unlined square tunnels in Hoek-Brown rock masses based on lower bound analysis. Computers and Geotechnics, 105, 249–264. doi:https://doi.org/10.1016/j.compgeo.2018.j10.006
- West, J.M. and Stuart, J.G., 1965. Oblique loading resulting from interference between surface footings on sand. In: Proceedings of the 6th International Conference on Soil Mechanics and Foundation Engineering. Montreal, Canada, Vol. 2, 214–217.
- Wu, G., et al., 2020. Ultimate bearing capacity of eccentrically loaded strip footings above voids in rock masses. Computers and Geotechnics, 128, 103819. doi:https://doi.org/10.1016/j.compgeo.2020.103819
- Wu, G., et al., 2021. Ultimate bearing capacity of strip footings on Hoek–Brown rock slopes using adaptive finite element limit analysis. Rock Mechanics and Rock Engineering, 1–8. doi:https://doi.org/10.1007/s00603-020-02334-6.
- Xiao, Y., et al., 2019. Stability of dual square tunnels in rock masses subjected to surcharge loading. Tunnelling and Underground Space Technology, 92, 103037. doi:https://doi.org/10.1016/j.tust.2019.103037
- Yang, X., Yin, J.H., and Li, L., 2003. Influence of a nonlinear failure criterion on the bearing capacity of a strip footing resting on rock mass using a lower bound approach. Canadian Geotechnical Journal, 40 (3), 702–707. doi:https://doi.org/10.1139/t03-010.