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Effect of footing geometry on the slope of reinforced soil during centrifuge modeling

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Abstract

One of the best methods for improving the tensile strength of soil, especially for stabilization of slopes and retaining walls, is to reinforce it using metal or polymer components. In the present experimental study, six soil slopes were reinforced with geotextiles at 1:30 scale. The footings were square-, rectangular-, or strip-shaped and were located 5 or 10 cm from the edge of the slope. A centrifuge was used to study the models at an acceleration of 30g. The results showed that the shape and distance of the footing had a significant effect on the overall bearing capacity and effectiveness of the reinforcing geotextiles according to the depth. The maximum bearing capacity was recorded for the square footing and maximum effectiveness by depth was recorded with the strip footing. Reducing the distance between the footing and the edge of the slope of the reinforced soil decreased the bearing capacity in the square, rectangular, and strip footings by 40%, 46%, and 23%, respectively. The soil reinforcement elements at different layers were examined for increases in the fracture and length. It was found that the increase in fracture and deformation in the upper layers of the geotextile was highest for the strip footing and lowest for the square footing. In other words, as the level of loading increased, the depth of the stress effect increased and the reinforcement layers at that depth were affected by loading.

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Abbreviations

H :

vertical height of slope

h 1 :

depth of wall foundation

B R :

width of reinforcement

L :

length of reinforcement

>L R :

length of reinforcement

S :

space between layers

NL :

number of layers

B :

width of foundation

L :

length of foundation

h :

height of foundation

d :

distance foundation from edge of slope

β :

angle of backfill ground surface from horizontal line

Ng:

acceleration in centrifuge

G s :

specific gravity

e max :

maximum void ratio of soil

e min :

minimum void ratio of soil

C u :

uniformity coefficient of soil grains

C c :

gradation or curvature coefficient of soil grains

D 50 :

diameter at which 50% of soil grains are smaller

φ :

friction angle

γ :

unit weight of soil layer

D r :

relative densities

E :

elasticity modulus

σ z :

total vertical stress

ε :

strain

ρ:

(density)

g:

gravitational acceleration

σ :

stress

References

  • Abate G, Massimino MR, Maugeri M (2015) Numerical modelling of centrifuge tests on tunnel–soil systems. Bull Earthq Eng 13(7):1927–1951. https://doi.org/10.1007/s10518-014-9703-0

    Article  Google Scholar 

  • Ahmadi M, Moosavi M, Jafari MK (2018) Experimental investigation of reverse fault rupture propagation through cohesive granular soils. Geomech Energy Environ 14:61–65. https://doi.org/10.1016/j.gete.2018.04.004

    Article  Google Scholar 

  • Aklil P, Wu W (2011) Centrifuge modeling of geotextile reinforced slopes, European Geosciences Union General Assembly , European Geosciences Union General Assembly 2011, Vienna, Austria, Geophysical Research Abstracts Vol. 12.

  • Aklil P, Wu W (2013) Centrifuge model tests on foundation on geosynthetic reinforced slope, Proceedings of the 18th International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013.

  • Arriaga F (2004) Responses of geosynthetic-reinforced structures under working stress and failure conditions. University of Colorado at Boulder

    Google Scholar 

  • Barghi Khezerloo A (2013) Study on the bearing capacity of surface foundation near the geosynthetics reinforced slopes. University of Tehran

    Google Scholar 

  • Baziar MH, Nabizadeh A, Jabbary M (2015) Numerical modeling of interaction between dip-slip fault and shallow foundation. Bull Earthq Eng 13(6):1613–1632. https://doi.org/10.1007/s10518-014-9690-1

    Article  Google Scholar 

  • Biondi G, Cascone E, Maugeri M (2014) Displacement versus pseudo-static evaluation of the seismic performance of sliding retaining walls. Bull Earthq Eng 12(3):1239–1267. https://doi.org/10.1007/s10518-013-9542-4

    Article  Google Scholar 

  • Bolton M, Pang P (1982) Collapse limit states of reinforced earth retaining walls. Geotechnique 32(4):349–367

    Article  Google Scholar 

  • Bolton MD, Choudhury SP, Pang P (1978) Reinforced earth walls: a centrifugal model study, Proceedings of Symposium on Earth Reinforcement

  • Cho HI, Sun CG, Kim JH, Kim DS (2018) OCR evaluation of cohesionless soil in centrifuge model using shear wave velocity. Geomech Eng 15(4):987–995. https://doi.org/10.12989/gae.2018.15.4.987

    Article  Google Scholar 

  • Conti R, Viggiani GM, Perugini F (2014) 'Numerical modelling of centrifuge dynamic tests of circular tunnels in dry sand. Acta Geotechnica 9:597–612

    Article  Google Scholar 

  • Darvishi Alamouti S, Moradi M, Bahaari M (2018) Centrifuge modelling of monopiles subjected to lateral loading. Sci Iran. https://doi.org/10.24200/sci.2018.20222

  • Das BM (2015) Principles of foundation engineering. Cengage learning, United States of America

    Google Scholar 

  • Fuglsang, L. (1988), The application of the theory of modelling to centrifuge studies, Centrifuge in soil mechanics.

  • Garnier J, Gaudin C, Springman S, Culligan P, Goodings D, Konig D, Kutter B, Phillips R, Randolph M, Thorel L (2007) Catalogue of scaling laws and similitude questions in geotechnical centrifuge modelling. Int J Phys Model Geotech 7(3):1

    Google Scholar 

  • Goodings D, Santamarina J (1989) Reinforced earth and adjacent soils: centrifuge modeling studys. J Geotech Eng 115(7):1021–1025. https://doi.org/10.1061/(ASCE)0733-9410(1989)115:7(1021)

    Article  Google Scholar 

  • Guler E, Ocbe C (2003) Centrifuge and full scale models of geotextile reinforced walls and several case studies of segmental retaining walls in Turkey. Emirates J Eng Res. 8(1):15–23

    Google Scholar 

  • Khoshnevivis Ansari A (2015) Three dimensional stability of reinforced soil bridge abutments by upper bound limit analysis method. University of Tehran

    Google Scholar 

  • Kim J, Kim J, Lee J, Yoo H (2018) Prediction of transverse settlement trough considering the combined effects of excavation and groundwater depression. Geomech Eng 15(3):851–859. https://doi.org/10.12989/gae.2018.15.3.851

    Article  Google Scholar 

  • Ko K-W, Ha J-G, Park H-J, Kim D-S (2018) Comparison between cyclic and dynamic rocking behavior for embedded shallow foundation using centrifuge tests. Bull Earthq Eng 16(11):5171–5193. https://doi.org/10.1007/s10518-018-0409-6

    Article  Google Scholar 

  • Lee K, Manjunath V (2000) Experimental and numerical studies of geosynthetic-reinforced sand slopes loaded with a footing. Canadian Geotech J. 37(4):828–842. https://doi.org/10.1139/t00-016

    Article  Google Scholar 

  • Ling HI (2010) A tribute to Philip Barnett Bucky (1899–1957). Acta Geotechn 5(1):83–85. https://doi.org/10.1007/s11440-010-0112-5

    Article  Google Scholar 

  • Ling HI, Xu L, Leshchinsky D, Collin JG, Rimoldi P (2016) Centrifugal modeling of reinforced soil retaining walls considering staged construction. American Society of Civil Engineers, Chicago, Illinois

    Book  Google Scholar 

  • Matichard M, Blivet J, Garnier J, Delmas P (1988) Etude en grandes deformationes d'ouvrages de soutenement renforces par geotextile, International Conference on Geotechnical Centrifuge Modelling, Jean Francois Corte, ed. Paris.

  • Mitchell J, Jaber M, Shen C, Hua Z (1988) Behavior of reinforced soil walls in centrifuge model tests, In: Proceedings of Centrifuge '88, Paris, France

  • Moein B, Bazargan J, Derakhshani A (2015) Evaluate the behavior of geosynthetic reinforced soil walls in centrifuge modeling and large-scale model under surcharge, University of Tabriz - Faculty of Civil Engineering

  • Moradi G, Abdolmaleki A, Soltani P (2019) Small-and large-scale analysis of bearing capacity and load-settlement behavior of rock-soil slopes reinforced with geogrid-box method. Geomech Eng 18(3):315–328. https://doi.org/10.12989/gae.2019.18.3.315

    Article  Google Scholar 

  • Nappa V, Bilotta E, Flora A, Madabhushi SG (2016) Centrifuge modelling of the seismic performance of soft buried barriers. Bull Earthq Eng 14(10):2881–2901. https://doi.org/10.1007/s10518-016-9912-9

    Article  Google Scholar 

  • Park DS (2018) Analyses of centrifuge modelling for artificially sensitive clay slopes. Geomech Eng 16(5):513–525. https://doi.org/10.12989/gae.2018.16.5.513

    Article  Google Scholar 

  • Park H-J, Kim D-S, Choo YW (2014) Evaluation of the seismic response of stone pagodas using centrifuge model tests. Bull Earthq Eng 12(6):2583–2606. https://doi.org/10.1007/s10518-014-9598-9

    Article  Google Scholar 

  • Porbaha A, Goodings D (1994) Geotextile reinforced cohesive slopes on weak foundations. Proceedings of Centrifuge

  • Rojhani M, Moradi M, Galandarzadeh A, Takada S (2012) Centrifuge modeling of buried continuous pipelines subjected to reverse faulting. Canadian Geotechn J 49(6):659–670

    Article  Google Scholar 

  • Sabermahani M, Ahimoghadam F, Ghalehnovi V (2018) Effect of surcharge magnitude on soil-nailed wall behaviour in a geotechnical centrifuge. Int J Phys Modell Geotech 18(5):225–239. https://doi.org/10.1680/jphmg.16.00022

    Article  Google Scholar 

  • Salemi S (2005) Investigation of the dynamics of dams of earth-limestone with asphaltic core. Iran University of Science & Technology

    Google Scholar 

  • Sommers A, Viswanadham B (2009) Centrifuge model tests on the behavior of strip footing on geotextile-reinforced slopes. Geotext Geomembr 27(6):497–505. https://doi.org/10.1016/j.geotexmem.2009.05.002

    Article  Google Scholar 

  • TSR101 37 (2013) General technical specifications of the road 101, Plan and Budget organization, president of the Islamic Republic of Iran, Tehran, IRAN

  • Ulgen D, Saglam S, Ozkan MY (2015) Dynamic response of a flexible rectangular underground structure in sand: centrifuge modeling. Bull Earthq Eng 13(9):2547–2566. https://doi.org/10.1007/s10518-015-9736-z

    Article  Google Scholar 

  • Vesic AS (1973) Analysis of ultimate loads of shallow foundations. J Soil Mechan Foundations Div. 99(sm1).

  • Viswanadham B, Mahajan R (2007) Centrifuge model tests on geotextile-reinforced slopes. Geosynth Int 14(6):365–379. https://doi.org/10.1680/gein.2007.14.6.365

    Article  Google Scholar 

  • Wood DM (2014) Geotechnical modelling. CRC press

  • Yang K-H (2009) Stress distribution within geosynthetic-reinforced soil structures. The University of Texas at Austin

    Google Scholar 

  • Ye B, Zhang L, Wang H, Zhang X, Lu P, Ren F (2019) Centrifuge model testing on reliquefaction characteristics of sand. Bull Earthq Eng 17(1):141–157. https://doi.org/10.1007/s10518-018-0433-6

    Article  Google Scholar 

  • Zhang G, Hu Y, Zhang J-M (2009) New image analysis-based displacement-measurement system for geotechnical centrifuge modeling tests. Measurement 42(1):87–96. https://doi.org/10.1016/j.measurement.2008.04.002

    Article  Google Scholar 

  • Zohdi Tavassoli H (2010) Three dimensional analysis of reinforced soil slopes with upper bound limit analysis method using laminar blocks. University of Tehran

    Google Scholar 

  • Zornberg JG (1994) Performance of geotextile-reinforced soil structures. University of California, Berkeley

    Google Scholar 

Download references

Acknowledgements

The authors would like to thank Mr. Salimi for his expertise on the centrifuge at the technical college of the University of Tehran. Special thanks are given to the laboratory experts of Amirkabir University of Technology for their assistance with the geotextile experiments.

Funding

This research was carried out with financial support from the Ministry of Science, Research and Technology of Iran (reference #MSRT9040244) at the University of Tehran. It is in partial fulfillment of a PhD degree by Mr. Behzad Moein from 2013 to 2017.

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Correspondence to Mahdi Khodaparast.

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Responsible Editor: Zeynal Abiddin Erguler

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Moein, B., Khodaparast, M. & Rajabi, A.M. Effect of footing geometry on the slope of reinforced soil during centrifuge modeling. Arab J Geosci 15, 425 (2022). https://doi.org/10.1007/s12517-022-09713-z

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  • DOI: https://doi.org/10.1007/s12517-022-09713-z

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