References
1. Mandel, J. and Salencon, J. Force portante d'un sol
sur une assise rigide (etude theorique)", Geotechnique,
22(1), pp. 79{93 (1972).
2. Stuart, J.G. Interference between foundations, with
special reference to surface footings in sand",
Geotechnique, 12(1), pp. 15{22 (1962).
3. Meyerhof, G.G. Ultimate bearing capacity of footings
on sand layer overlying clay", Canadian Geotechnical
Journal, 11(2), pp. 223{229 (1974).
4. De Beer, E.E. The scale e ect on the phenomenon of
progressive rupture in cohesionless soils", Int. Conf. In
Soil Mech. and Found. Engrg., 2, Canada, pp. 13{17
(1965).
5. Erickson, H.L. and Drescher, A. Bearing capacity of
circular footings", Journal of Geotechnical and Geoenvironmental
Engineering, ASCE, 128(1), pp. 38{43
(2002).
6. Loukidis, D. and Salgado, R. Bearing capacity of
strip and circular footings in sand using nite elements",
Computers and Geotechnics, 36(5), pp. 871{
879 (2009).
7. Lyamin, A.V., Salgado, R., Sloan, S.W., and Prezzi,
M. Two- and three-dimensional bearing capacity of
footings in sand", Geotechnique, 57(8), pp. 647{662
(2007).
8. Bolton, M.D. and Lau, C.K. Vertical bearing capacity
factors for circular and strip footings on Mohr-
Coulomb soil", Canadian Geotechnical Journal, 30(6),
pp. 1024{1033 (1993).
9. De Beer, E.E. Experimental determination of the
shape factors and the bearing capacity factors of sand",
Geotechnique, 20(4), pp. 387{411 (1970).
10. Al-Ashou, M., Sulaiman, R., and Mandal, J. E ect
of number of reinforcing layers on the interference
between footings on reinforced sand", Indian Geotechnical
Journal, 24(3), pp. 285{301 (1994).
11. Fazeli Dehkordi, P., Ghazavi, M., Ganjian, N., and
Karim, U.F.A. E ect of geocell-reinforced sand base
on bearing capacity of twin circular footings", Geosynthetics
International, 26(3), pp. 224{236 (2019).
12. Pfei
e, T.W. and Das, B.M. Bearing capacity of
surface footings on sand layer resting on a rigid rough
base", Soils and Foundations, 19(1), pp. 1{11 (1979).
13. Tournier, J.P. and Milovic, D.M. Etude experimentale
de la capacite portante d'une couche compressible
d'epaisseur limitee", Geotechnique, 27(2), pp. 111{123
(1977).
14. Eid, H.T., Alansari, O.A., Odeh, A.M., Nasr, M.N.,
and Sadek, H.A. Comparative study on the behavior
of square foundations resting on con ned sand", Canadian
Geotechnical Journal, 46(4), pp. 438{453 (2009).
15. Siraj-Eldine, K. and Bottero, A. Etude experimentale
de la capacite portante d'une couche de sol pulverulent
d'epaisseur limitee", Canadian Geotechnical Journal,
24(2), pp. 242{251 (1987).
16. Cerato, A.B. and Lutenegger, A.J. Bearing capacity
of square and circular footings on a nite layer of
granular soil underlain by a rigid base", Journal
of Geotechnical and Geoenvironmental Engineering,
ASCE, 132(11), pp. 1496{1501 (2006).
17. Kumar, A. and Saran, S. Closely spaced footings
on geogrid-reinforced sand", Journal of Geotechnical
and Geoenvironmental Engineering, ASCE, 129(7),
pp. 660{664 (2003).
18. Ghazavi, M. and Alimardani Lavasan, A. Interference
e ect of shallow foundations constructed on
sand reinforced with geosynthetics", Geotextiles and
Geomembranes, 26(5), pp. 404{415 (2008).
19. Alimardani Lavasan, A. and Ghazavi, M. Behavior
of closely spaced square and circular footings on
reinforced sand", Soils and Foundations, 52(1), pp.
160{167 (2012).
P. Fazeli Dehkordi et al./Scientia Iranica, Transactions A: Civil Engineering 28 (2021) 96{108 107
20. Alimardani Lavasan, A., Ghazavi, M., and Schanz, T.
Analysis of interfering circular footings on reinforced
soil by physical and numerical approaches considering
strain-dependent sti ness", International Journal of
Geomechanics, ASCE, 17(11), 04017096 (2017).
21. Naderi, E. and Hataf, N. Model testing and numerical
investigation of interference e ect of closely spaced ring
and circular footings on reinforced sand", Geotextiles
and Geomembranes, 42(3), pp. 191{200 (2014).
22. Roy, S.S. and Deb, K. Closely spaced rectangular
footings on sand underlain by soft clay with geogrid
at the interface", Geosynthetics International, 25(4),
pp. 412{426 (2018).
23. Terzaghi, K., Theoretical Soil Mechanics, John Wiley,
NY (1943).
24. Brown, R., Valsangkar, A.J., and Schriver, A.B. Centrifuge
modeling of surface footings on a sand layer
underlain by a rigid base", Geotechnical and Geological
Engineering, 22(2), pp. 187{198 (2004).
25. Alimardani Lavasan, A., Ghazavi, M., Blumenthal, A.
Von. and Schanz, T. Bearing capacity of interfering
strip footings", Journal of Geotechnical and Geoenvironmental
Engineering, ASCE, 144(3), 04018003
(2018).
26. Salamatpoor, S., Jafarian, Y., and Hajiannia, A.
Bearing capacity and uneven settlement of consecutively
constructed adjacent footings rested on saturated
sand using model tests", International Journal
of Civil Engineering, 17, pp. 737{749 (2019).
27. Salamatpoor, S., Jafarian, Y., and Hajiannia, A. Mitigating
the uneven settlement of nearby strip footings
on loose saturated sand using concrete pedestals: a
model test study", Scientia Iranica, 25(4), pp. 2063{
2076 (2018).
28. Nainegali, L., Basudhar, P.K., and Ghosh, P. Interference
of strip footings resting on nonlinearly elastic
foundation bed: a nite element analysis", Iranian
Journal of Science and Technology, Transactions of
Civil Engineering, 42(2), pp. 199{206 (2018).
29. Alimardani Lavasan, A. and Ghazavi, M. Failure
mechanism and soil deformation pattern of soil beneath
interfering square footings", Journal of Numerical
Methods in Civil Engineering, 2(1), pp. 48{56
(2014).
30. Gupta, A. and Sitharam, T.G. Experimental and numerical
investigations on interference of closely spaced
square footings on sand", International Journal of
Geotechnical Engineering, 14(2), pp. 142{150 (2020).
31. Ghosh, P., Basudhar, P.K., Srinivasan, V., and Kunal,
K. Experimental studies on interference of two angular
footings resting on surface of two-layer cohesionless
soil deposit", International Journal of Geotechnical
Engineering, 9(4), pp. 422{433 (2015).
32. Lee, J. and Eun J. Estimation of bearing capacity for
multiple footings in sand", Computers and Geotechnics,
36(6), pp. 1000{1008 (2009).
33. Srinivasan, V. and Ghosh, P. Experimental investigation
on interaction problem of two nearby circular
footings on layered cohesionless soil", Geomechanics
and Geoengineering, 8(2), pp. 97{106 (2013).
34. Dash, S.K., Krishnaswamy, N.R., and Rajagopal,
K. Bearing capacity of strip footings supported on
geocell-reinforced sand", Geotextiles and Geomembranes,
19(4), pp. 235{256 (2001).
35. ITASCA, Flac, Fast Lagrangian Analysis of Continua,
Version 5.0, Itasca Consulting Group, Inc. Minneapolis,
MN, USA (2015).
36. Amar, S., Baguelin, F., Canepa, Y., and Frank,
R. Experimental study of the settlement of shallow
foundations", Vertical and Horizontal Deformations
of Foundations and Embankments, ASCE, 40(2), pp.
1602{1610 (1994).
37. Golder, H.Q., Fellenius, W., Kogler, F., Meischeider,
H., Krey, H., and Prandtl, L. The ultimate bearing
pressure of rectangular footings", Journal of the Institution
of Civil Engineers, 17(2), pp. 161{174 (1941).
38. De Beer, E.E. The scale e ect in the transposition
of the results of deep-sounding tests on the ultimate
bearing capacity of piles and caisson foundations",
Geotechnique, 13(1), pp. 39{75 (1963).
39. Han, J., Yang, X., Leshchinsky, D., and Parsons, R.L.
Behavior of geocell-reinforced sand under a vertical
load", Transportation Research Record: Journal of
the Transportation Research Board, 2045, pp. 95{101
(2008).
40. Kusakabe, O. Experiment and analysis on the scale
e ect of N
for circular and rectangular footings",
Proc. Int. Conf. Centrifuge '91, Boulder, Colorado, pp.
179{186 (1991).
41. Rajagopal, K., Krishnaswamy, N.R., and Madhavi
Latha, G. Behaviour of sand con ned with single and
multiple geocells", Geotextiles and Geomembranes,
17(3), pp. 171{184 (1999).
42. Nainegali, L.S., Basudhar, P.K., and Ghosh, P. Interference
of two asymmetric closely spaced strip footings
resting on nonhomogeneous and linearly elastic soil
bed", International Journal of Geomechanics, ASCE,
13(6), pp. 840{851 (2013).
43. Adams, M.T. and Collin, J.G. Large model spread
footing load tests on geosynthetic reinforced soil foundations",
Journal of Geotechnical and Geoenvironmental
Engineering, ASCE, 123(1), pp. 66{72 (1997).
44. Langhaar, J.L., Dimensional Analysis and Theory of
Models, John Wiley & Sons, New York, NY (1951).
45. Buckingham, E. On physically similar systems; illustrations
of the use of dimensional equations", Physical
review, 4(4), pp. 345{376 (1914).
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