Analytical analysis of settlement and interaction - floating granular piled rafts, single and group of two units with the effect of partial stiffening

References

• Alamgir, M. 1996. Analysis of soft ground reinforced by columnar inclusions. Doctoral dissertation., Saga, Japan: Saga University.
   Google Scholar
• Balaam, N. P., and J. R. Booker. 1981. “Analysis of Rigid Rafts Supported by Granular Piles.” International Journal for Numerical and Analytical Methods in Geomechanics 5 (4): 379–403. https://doi.org/10.1002/nag.1610050405.
   Web of Science ®Google Scholar
• Bergado, D. T., and F. L. Lam. 1987. “Full Scale Load Test of Granular Piles with Different Densities and Different Proportions of Gravel and Sand on Soft Bangkok Clay.” Soils and Foundations 27 (1): 86–93. https://doi.org/10.3208/sandf1972.27.86.
   Google Scholar
• Black, J. A., V. Sivakumar, M. R. Madhav, and G. A. Hamill. 2007. “Reinforced Stone Columns in Weak Deposits: Laboratory Model Study.” Journal of Geotechnical and Geoenvironmental Engineering 133 (9): 1154–1161. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:9(1154).
   Web of Science ®Google Scholar
• Boussinesq, J. 1885. Application of potentials to the study of the equilibrium and motion of elastic solids: mainly to the calculation of the strains and pressures produced, in these solids, by any forces exerted on a small part of their surface or of their interior: thesis followed by extensive notes on various points of physics, mathematics and analysis, Vol. 4. Gauthier-Villars.
   Google Scholar
• Butterfield, R., and P. K. Banerjee. 1971. “The Elastic Analysis of Compressible Piles and Pile Groups.” Geotechnique 21 (1): 43–60. https://doi.org/10.1680/geot.1971.21.1.43.
   Web of Science ®Google Scholar
• Das, A. K., and K. Deb. 2014. “Modeling of Uniformly Loaded Circular Raft Resting on Stone Column-Improved Ground.” Soils and Foundations 54 (6): 1212–1224. https://doi.org/10.1016/j.sandf.2014.11.014.
   Web of Science ®Google Scholar
• Davis, E. H., and H. G. Poulos. 1972. “The Analysis of Pile Raft Systems.” Australian Geomechanics Journal G2 (1): 21–27. https://www.researchgate.net/publication/293124691_ANALYSIS_OF_PILE_RAFT_SYSTEMS.
   Google Scholar
• El-Garhy, B., and M. Elsawy. 2017. “Effect of Different Parameters on the Behavior of Strip Footing Resting on Weak Soil Improved by Granular Piles.” International Journal of Geo-Engineering 8 (1): 1–24. https://doi.org/10.1186/s40703-017-0042-2.
   Google Scholar
• Elshazly, H., M. Elkasabgy, and A. Elleboudy. 2008. “Effect of Inter-Column Spacing on Soil Stresses Due to Vibro-Installed Stone Columns: Interesting Findings.” Geotechnical and Geological Engineering 26 (2): 225–236. https://doi.org/10.1007/s10706-007-9159-y.
   Google Scholar
• Elwakil, A. Z., and W. R. Azzam. 2016. “Experimental and Numerical Study of Piled Raft System.” Alexandria Engineering Journal 55 (1): 547–560. https://doi.org/10.1016/j.aej.2015.10.001.
   Web of Science ®Google Scholar
• Garg, V., and J. K. Sharma. 2019. “Analysis and Settlement of Partially Stiffened Single and Group of Two Floating Granular Piles.” Indian Geotechnical Journal 49 (2): 191–203. https://doi.org/10.1007/s40098-018-0321-7.
   Web of Science ®Google Scholar
• Garg, V., and J. K. Sharma. 2020. “Analyses and Settlement Study of a Group of Two, Three and Four Partially Stiffened Floating Granular Piles.” Geomechanics & Geoengineering 15 (3): 203–223. https://doi.org/10.1080/17486025.2019.1635715.
   Web of Science ®Google Scholar
• Grover, K. S., J. K. Sharma, and M. R. Madhav. 2015. “Settlement Analysis of Single Granular Pile with Stiffened Top.” International Journal of Engineering Research 6 (6): 61–75.
   Google Scholar
• Gupta, P., and J. K. Sharma. 2018. “Settlement Analysis of Non-Homogeneous Single Granular Pile.” Indian Geotechnical Journal 48 (1): 92–101. https://doi.org/10.1007/s40098-017-0240-z.
   Web of Science ®Google Scholar
• Hanna, A. M., M. Etezad, and T. Ayadat. 2013. “Mode of Failure of a Group of Stone Columns in Soft Soil.” International Journal of Geomechanics 13 (1): 87–96. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000175.
   Web of Science ®Google Scholar
• Liang, F. Y., L. Z. Chen, and X. G. Shi. 2003. “Numerical Analysis of Composite Piled Raft with Cushion Subjected to Vertical Load.” Computers and Geotechnics 30 (6): 443–453. https://doi.org/10.1016/S0266-352X(03)00057-0.
   Web of Science ®Google Scholar
• Madhav, M. R. and N. Miura. 1994. Stone columns. In International conference on soil mechanics and foundation engineering, New Delhi, India, 163–164.
   Google Scholar
• Madhav, M. R., J. K. Sharma, and S. Chandra. 2006. “Analysis and Settlement of a Non-Homogeneous Granular Pile.” Indian Geotechnical Journal 36 (3): 249–271.
   Google Scholar
• Madhav, M. R., J. K. Sharma, and V. Sivakumar. 2009. “Settlement of and Load Distribution in a Granular Piled Raft.” Geomechanics & Engineering 1 (1): 97–112. https://doi.org/10.12989/gae.2009.1.1.097.
   Web of Science ®Google Scholar
• Madhav, M. R., and W. F. Van Impe. 1994. “Load Transfer Through a Gravel Bed on Stone Column Reinforced Soil.” Geotechnical Engineering 25 (2): 47–62.
   Google Scholar
• Madhira, M., J. K. Sharma, and R. R. Sanadhya. 2019. “Analysis of Stiffened Granular Piled Raft.” Geotechnical Engineering Journal of SEAGS-AGSSEA Honouring Prof Harry G Poulos 51 (2): 54–64. ISSN: 00465828.
   Web of Science ®Google Scholar
• Maheshwari, P., and S. Khatri. 2010. “Nonlinear Response of Footings on Granular Bed-Stone Column-Reinforced Poor Soil.” International Journal of Geotechnical Engineering 4 (4): 435–443. https://doi.org/10.3328/IJGE.2010.04.04.435-443.
   Google Scholar
• Maheshwari, P., and S. Khatri. 2011. “A Nonlinear Model for Footings on Granular Bed–Stone Column Reinforced Earth Beds.” Applied Mathematical Modelling 35 (6): 2790–2804. https://doi.org/10.1016/j.apm.2010.11.075.
   Web of Science ®Google Scholar
• Mindlin, R. D. 1936. “Force at a Point in the Interior of a Semi‐Infinite Solid.” Physics 7 (5): 195–202. https://doi.org/10.1063/1.1745385.
   Google Scholar
• Mindlin, R. D. 1937. Stress System in a Circular Disk Under Radial Forces, Presented at the Joint Meeting of Applied Mechanics and Hydraulic Division of the ASME Held At. New York: Cornell University. https://doi.org/10.1115/1.4008786
   Google Scholar
• Murugesan, S., and K. Rajagopal. 2010. “Studies on the Behavior of Single and Group of Geosynthetic Encased Stone Columns.” Journal of Geotechnical and Geoenvironmental Engineering 136 (1): 129–139. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000187.
   Web of Science ®Google Scholar
• Nguyen, D. D. C., S. B. Jo, and D. S. Kim. 2013. “Design Method of Piled-Raft Foundations Under Vertical Load Considering Interaction Effects.” Computers and Geotechnics 47:16–27. https://doi.org/10.1016/j.compgeo.2012.06.007.
   Web of Science ®Google Scholar
• Poulos, H. G. 1968. “Analysis of the Settlement of Pile Groups.” Geotechnique 18 (4): 449–471. https://doi.org/10.1680/geot.1968.18.4.449.
   Web of Science ®Google Scholar
• Randolph, M. F. 1983. Design of Piled Raft Foundations. In Proceedings of the International Symposium on Recent Developments in Laboratory and Field Tests and Analysis of Geotechnical Problems, Bangkok, Bangkok, 525–537.
   Google Scholar
• Sanadhya, R. R., J. K. Sharma, and A. Solanki. 2022. “Numerical Evaluation of Partially Strengthened Floating Granular Pile Raft with Vertical and Radial Displacement Compatibility.” Studia Geotechnica et Mechanica 44 (2): 148–161. https://doi.org/10.2478/sgem-2022-0008.
   Web of Science ®Google Scholar
• Sharma, J. K. 1999. Analysis and settlement of granular pile (s)-single, in group and with raft. Doctoral dissertation., Kanpur: Indian Institute of Technology.
   Google Scholar
• Solanki, A., and J. K. Sharma. 2023. “Analytical Evaluation of Settlement and Interaction of Floating Granular Piled Rafts Units in Group.” Indian Geotechnical Journal 1–29. https://doi.org/10.1007/s40098-023-00749-w.
   Web of Science ®Google Scholar
• Solanki, A., J. K. Sharma, and M. R. Madhav. 2022. “Interaction Analysis of Two Floating Granular Piled Raft Units.” Geomechanics & Geoengineering 1–18. https://doi.org/10.1080/17486025.2022.2136409.
   Google Scholar
• Wang, X. Z., J. J. Zheng, and J. H. Yin. 2010. “On Composite Foundation with Different Vertical Reinforcing Elements Under Vertical Loading: A Physical Model Testing Study.” Journal of Zhejiang University Science A 11 (2): 80–87. https://doi.org/10.1631/jzus.A0900252.
   Web of Science ®Google Scholar
• Yamashita, K., T. Yamada. 2009. Settlement and load sharing of a piled raft with ground improvement on soft ground. In: Proceedings of the 17th International Conference on Soil Mechanics and Geotechnical Engineering: The Academia and Practice of Geotechnical Engineering, 1236–1239. https://doi.org/10.3233/978-1-60750-031-5-1236
   Google Scholar
• Yamashita, K., T. Yamada, and J. Hamada. 2011. “Investigation of Settlement and Load Sharing on Piled Rafts by Monitoring Full-Scale Structures.” Soils and Foundation 51 (3): 513–532. https://doi.org/10.3208/sandf.51.513.
   Web of Science ®Google Scholar
• Zhang, L., and M. Zhao. 2015. “Deformation Analysis of Geotextile-Encased Stone Columns.” International Journal of Geomechanics 15 (3): 04014053. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000389.
   Web of Science ®Google Scholar