Abstract

In geotechnical engineering, interference effects caused by the construction of closely spaced footings have a significant influence on the system behavior of each individual footing. As the mutual impact of two footings constructed in close proximity has only been analyzed for identical footings, our aim with this paper is to investigate the interfering effects of closely spaced nonidentical rough footings considering variations of stresses applied to both footings. Therefore, lower and upper bound simulations have been carried out using the finite-element limit analysis (FELA). A validation of the numerical model was accomplished by comparing results for interference effects of identical footings with existing studies in terms of interference factors ξγ. Furthermore, nonidentical footings with equally and differently scaled stresses were studied and corresponding failure mechanisms analyzed. In total, four types of failure mechanisms could be identified in which two mechanisms always compete each other, depending on friction angle, footing widths, spacing, and loading. In contrast to identical footings with combined failure mechanisms, the results show that for nonidentical footings, failure mechanisms most likely develop only below one footing.

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Data Availability Statement

Some or all data, models, or code used during the study were provided by a third party (OptumG2 Software). Direct requests for these materials may be made to the provider as indicated in the “Acknowledgments.”

References

Almeida, R. C., R. A. Feijóo, A. C. Galeao, C. Padra, and R. S. Silva. 2000. “Adaptive finite element computational fluid dynamics using an anisotropic error estimator.” Comput. Methods Applied Mech. Eng. 182 (3–4): 379–400. https://doi.org/10.1016/S0045-7825(99)00200-5.
Biswas, N., and P. Ghosh. 2018. “Interaction of adjacent strip footings on reinforced soil using upper-bound limit analysis.” Geosynthetics Int. 25 (6): 599–611. https://doi.org/10.1680/jgein.18.00020.
Bottero, A., R. Negre, J. Pastor, and S. Turgeman. 1980. “Finite element method and limit analysis theory for soil mechanics problems.” Comput. Methods Appl. Mech. Eng. 22 (1): 131–149. https://doi.org/10.1016/0045-7825(80)90055-9.
Das, B. M., and S. Larbi-Cherif. 1983. “Bearing capacity of two closely-spaced shallow foundations on sand.” Soils Found. 23 (1): 1–7. https://doi.org/10.3208/sandf1972.23.1.
Drucker, D., W. Prager, and H. Greenberg. 1952. “Extended limit design theorems for continuous media.” Q. Appl. Math. 9 (4): 381–389. https://doi.org/10.1090/qam/45573.
Fazeli Dehkordi, P., M. Ghazavi, N. Ganjian, and U. Karim. 2019. “Effect of geocell-reinforced sand base on bearing capacity of twin circular footings.” Geosynthetics Int. 26 (3): 224–236. https://doi.org/10.1680/jgein.19.00047.
Fuentes, W., J. Duque, C. Lascarro, and M. Gil. 2019. “Study of the bearing capacity of closely spaced square foundations on granular soils.” Geotech. Geol. Eng. 37 (3): 1401–1410. https://doi.org/10.1007/s10706-018-0694-5.
Hazell, E. 2004. Interaction of closely spaced strip footings. Oxford, UK: Univ. of Oxford.
Jaky, J. 1944. “The coefficient of earth pressure at rest.” J. Soc. Hungarian Archit. Eng. 78 (22): 355–358.
Kumar, A., and S. Saran. 2003. “Closely spaced footings on geogrid-reinforced sand.” J. Geotech. Geoenviron. Eng. 129 (7): 660–664. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:7(660).
Kumar, J., and P. Bhattacharya. 2013. “Bearing capacity of two interfering strip footings from lower bound finite elements limit analysis.” Int. J. Numer. Anal. Methods Geomech. 37 (5): 441–452. https://doi.org/10.1002/nag.1104.
Kumar, J., and P. Ghosh. 2007. “Ultimate bearing capacity of two interfering rough strip footings.” Int. J. Geomech. 7 (1): 53–62. https://doi.org/10.1061/(ASCE)1532-3641(2007)7:1(53).
Kumar, J., and K. Kouzer. 2008. “Bearing capacity of two interfering footings.” Int. J. Numer. Anal. Methods Geomech. 32 (3): 251–264. https://doi.org/10.1002/nag.625.
Lavasan, A. A., and M. Ghazavi. 2012. “Behavior of closely spaced square and circular footings on reinforced sand.” Soils Found. 52 (1): 160–167. https://doi.org/10.1016/j.sandf.2012.01.006.
Lavasan, A. A., M. Ghazavi, and T. Schanz. 2017. “Analysis of interfering circular footings on reinforced soil by physical and numerical approaches considering strain-dependent stiffness.” Int. J. Geomech. 17 (11): 04017096. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000992.
Lavasan, A. A., M. Ghazavi, A. von Blumenthal, and T. Schanz. 2018. “Bearing capacity of interfering strip footings.” J. Geotech. Geoenviron. Eng. 144 (3): 04018003. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001824.
Lyamin, A., and S. Sloan. 2002a. “Lower bound limit analysis using non-linear programming.” Int. J. Numer. Methods Eng. 55 (5): 573–611. https://doi.org/10.1002/nme.511.
Lyamin, A. V., and S. Sloan. 2002b. “Upper bound limit analysis using linear finite elements and non-linear programming.” Int. J. Numer. Anal. Methods Geomech. 26 (2): 181–216. https://doi.org/10.1002/nag.198.
Lyamin, A. V., S. W. Sloan, K. Krabbenhøft, and M. Hjiaj. 2005. “Lower bound limit analysis with adaptive remeshing.” Int. J. Numer. Methods Eng. 63 (14): 1961–1974. https://doi.org/10.1002/nme.1352.
Lysmer, J. 1970. “Limit analysis of plane problems in soil mechanics.” J. Soil Mech. Found. Div. 96 (4): 1311–1334.
Mabrouki, A., D. Benmeddour, R. Frank, and M. Mellas. 2010. “Numerical study of the bearing capacity for two interfering strip footings on sands.” Comput. Geotech. 37 (4): 431–439. https://doi.org/10.1016/j.compgeo.2009.12.007.
Oberhollenzer, S., F. Tschuchnigg, and H. F. Schweiger. 2018. “Finite element analyses of slope stability problems using non-associated plasticity.” J. Rock Mech. Geotech. Eng. 10 (6): 1091–1101. https://doi.org/10.1016/j.jrmge.2018.09.002.
Optum G2. 2019. “Finite element program for geotechnical analysis, Optum computational engineering.” Accessed June 17, 2019. www.optumce.com.
Sloan, S. 1988. “Lower bound limit analysis using finite elements and linear programming.” Int. J. Numer. Anal. Methods Geomech. 12 (1): 61–77. https://doi.org/10.1002/nag.1610120105.
Sloan, S. 1989. “Upper bound limit analysis using finite elements and linear programming.” Int. J. Numer. Anal. Methods Geomech. 13 (3): 263–282. https://doi.org/10.1002/nag.1610130304.
Sloan, S. 2013. “Geotechnical stability analysis.” Géotechnique. 63 (7): 531. https://doi.org/10.1680/geot.12.RL.001.
Stuart, J. 1962. “Interference between foundations, with special reference to surface footings in sand.” Géotechnique. 12 (1): 15–22. https://doi.org/10.1680/geot.1962.12.1.15.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 146Issue 6June 2020

History

Received: Aug 23, 2019
Accepted: Dec 9, 2019
Published online: Apr 6, 2020
Published in print: Jun 1, 2020
Discussion open until: Sep 6, 2020

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Ph.D. Candidate, Chair of Soil Mechanics, Foundation Engineering and Environmental Geotechnics, Ruhr-Universität Bochum, 44801 Bochum, Germany (corresponding author). ORCID: https://orcid.org/0000-0002-2238-8742. Email: [email protected]
Senior Lecturer and Research Associate, Chair of Soil Mechanics, Foundation Engineering and Environmental Geotechnics, Ruhr-Universität Bochum, 44801 Bochum, Germany. ORCID: https://orcid.org/0000-0001-7735-9298. Email: [email protected]
Assistant Professor, Institute of Soil Mechanics, Foundation Engineering and Computational Geotechnics, Graz Univ. of Technology, 8010 Graz, Austria. ORCID: https://orcid.org/0000-0002-4279-7703. Email: [email protected]
Torsten Wichtmann [email protected]
Professor, Chair of Soil Mechanics, Foundation Engineering and Environmental Geotechnics, Ruhr-Universität Bochum, 44801 Bochum, Germany. Email: [email protected]

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