Abstract
This paper reports on a study conducted to investigate the particle flow and stress distribution of limestone granular soils with varying roundness classes, ranging from angular to well-rounded, and sizes ranging from 2.00 to 8.00 mm. The study focused on four groups of soils with three different relative densities of 30, 50, and 70%, situated behind a rigid retaining wall under active and passive earth pressure conditions. The study employed the noninvasive particle image velocimetry (PIV) method and used the discrete element method (DEM) too to compare particle flow estimated by the PIV method. The main objective was to analyze the impact of roundness and relative densities on the distribution of shear stress behind the retaining wall. Additionally, the paper highlights the benefits of using DEM for analyzing retaining walls, compared to experimental methods. The experimental PIV results were qualitatively compared with the simulation results, and the earth pressure simulations showed excellent agreement with the experimental results. Moreover, the resulting internal friction angles were found to be in good agreement with the experimental data.
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Afzali-Nejad A, Lashkari A (2017) Shourijeh PT (2017) Influence of particle shape on the shear strength and dilation of sand-woven geotextile interfaces. Geotext Geomembr 45(1):54–66. https://doi.org/10.1016/j.geotexmem.2016.07.005
Altunbaş A, Soltanbeigi B, Çinicioǧlu Ö (2019) DEM analysis of passive failure state behind a rigid retaining wall: effect of boundary conditions. In: 7th International Symposium on Deformation Characteristics of Geomaterials, IS-Glasgow 2019 2019. EDP Sciences
Arasan S, Akbulut S, Hasiloglu S (2011) The Relationship between the fractal dimension and shape properties of particles. KSCE J Civ Eng 15(7):1219–1225. https://doi.org/10.1007/s12205-011-1310-x
Arasan S, Yener E, Hattatoglu F, Akbulut S, Hinislioglu S (2010) The relationship between the fractal dimension and mechanical properties of asphalt concrete. Int J Civ Struct Eng 1(2):165–170
ASTM (2002) Standard Test Methods for Specific Gravity of Soil Solids by Water Pycnometer
ASTM (2004) Standard Test Method for Direct Shear Test of Soils under Consolidated Drained Conditions
ASTM (2006) Standard Test Methods for Maximum Index Density and Unit Weight of Soils Using a Vibratory Table
ASTM (2006) Standard Test Methods for Minimum Index Density and Unit Weight of Soils and Calculation of Relative Density
ASTM (2009) Standard test methods for particle-size distribution (gradation) of soils using sieve analysis. Standard Test Methods for Particle-Size Distribution (Gradation) of Soils Using Sieve Analysis
Balevičius R, Kačianauskas R (2008) DEM analysis of effect of the particle size during the material flow in wedge-shaped hopper. J Vibroeng 10:405–410
Bierwisch C, Kraft T, Riedel H, Moseler M (2009) Three-dimensional discrete element models for the granular statics and dynamics of powders in cavity filling. J Mech Phys Solids 57(1):10–31. https://doi.org/10.1016/j.jmps.2008.10.006
Blahout S, Reinecke SR, Kruggel-Emden H, Hussong J (2021) On the micro-PIV accuracy and reliability utilizing non-Gaussian particle images. Exp Fluids 62(9):191. https://doi.org/10.1007/s00348-021-03283-8
Cho GC, Dodds J, Santamarina JC (2007) Closure to “particle shape effects on packing density, stiffness, and strength: natural and crushed sands. J Geotech Geoenviron Eng 133(11):1474. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:11(1474)
Coetzee CJ (2019) Particle upscaling: calibration and validation of the discrete element method. Powder Technol 344:487–503. https://doi.org/10.1016/j.powtec.2018.12.022
Cox EP (1927) A method of assigning numerical and percentage values to the degree of roundness of sand grains. J Paleontol 1(3):179–183
Cundall PA (1971) A computer model for simulating progressive, large-scale movement in blocky rock system. In: Proceedings of the international symposium on rock mechanics 8:129–136
Ghalehjough BK, Akbulut S, Çelik S (2017) An Experimental Study on Effect of Particle Size and Angularity on Void Ratio of Granular Soils. European Journal of Advances in Engineering and Technology 4(7):555–559
Ghalehjough BK, Akbulut S, Çelik S (2018) Effect of particle roundness and morphology on the shear failure mechanism of granular soil under strip footing. Acta Geotechnica Slovenica 15(1):43–53. https://doi.org/10.18690/actageotechslov.15.1.43-53.2018
Horabik J, Wiącek J, Parafiniuk P, Stasiak M, Bańda M, Kobyłka R, Molenda M (2020) Discrete element method modelling of the diametral compression of starch agglomerates. Materials 13(4):932. https://doi.org/10.3390/ma13040932
Jiang M, He J, Wang J, Liu F, Zhang W (2014) Distinct simulation of earth pressure against a rigid retaining wall considering inter-particle rolling resistance in sandy backfill. Granul Matter 16:797–814. https://doi.org/10.1007/s10035-014-0515-3
Karimi B (2023) Effect of particle shape on the behavior of polymer-improved sandy soil used in pavements due to freeze-thaw cycles. The Balt J Road Bridge Eng 18(2):128–151. https://doi.org/10.7250/bjrbe.2023-18.601
Karimi Ghalehjough B, Akbulur S, Çelik S (2017) Experimental and numerical investigation on bearing capacity of granular soil affected by particle roundness. Indian J Geo-Mar Sci 46:2137–2145
Keshavarz A, Ebrahimi M (2017) Axisymmetric passive lateral earth pressure of retaining walls. KSCE J Civ Eng 21:1706–1716. https://doi.org/10.1007/s12205-016-0502-9
Lashkari A, Falsafizadeh SR, Shourijeh PT, Alipour MJ (2020) Instability of loose sand in constant volume direct simple shear tests in relation to particle shape. Acta Geotech 15(9):2507–2527. https://doi.org/10.1051/e3sconf/20199214012
Lashkari A, Jamali V (2021) Global and local sand-geosynthetic interface behavior. Géotechnique 71(4):346–367. https://doi.org/10.1680/jgeot.19.P.109
Li T, Peng Y, Zhu Z, Zou S, Yin Z (2017) Discrete element method simulations of the inter-particle contact parameters for the mono-sized iron ore particles. Materials 10(5):520. https://doi.org/10.3390/ma10050520
Liu M, Chen X, Hu Z, Liu S (2020) Active earth pressure of limited c-φ soil based on improved soil arching effect. Appl Sci 10(9):3243. https://doi.org/10.3390/app10093243
Matsushima T, Katagiri J, Uesugi K, Tsuchiyama A, Nakano T (2009) 3D shape characterization and image-based DEM simulation of the lunar soil simulant FJS-1. J Aerosp Eng 22(1):15–23. https://doi.org/10.1061/(ASCE)0893-1321(2009)22:1(15)
Medina J, Sau N, Acuña Q (2018) Lateral earth pressure coefficient and lateral earth pressure against retaining walls. J Geol Resour Eng 6:251–260
Nie Z, Fang C, Gong J, Liang Z (2020) DEM study on the effect of roundness on the shear behaviour of granular materials. Comput Geotech 121:103457. https://doi.org/10.1016/j.compgeo.2020.103457
Niedostatkiewicz M, Lesniewska D, Tejchman J (2011) Experimental analysis of shear zone patterns in cohesionless for earth pressure problems using particle image velocimetry. Strain 47:218–231. https://doi.org/10.1111/j.1475-1305.2010.00761.x
Nitka M, Tejchman J, Kozicki J, Leśniewska D (2015) DEM analysis of micro-structural events within granular shear zones under passive earth pressure conditions. Granul Matter 17:325–343. https://doi.org/10.1007/s10035-015-0558-0
Peng SQ, Li XB, Ling FA, Liu AH (2012) A general method to calculate passive earth pressure on rigid retaining wall for all displacement modes. Trans Nonferrous Metals Soc China 22(6):1526–1532. https://doi.org/10.1016/S1003-6326(11)61351-4
Pietrzak M, Leśniewska D (2012) Failure evolution in granular material retained by rigid wall in active mode. Studia Geotech Et Mech 34(4):1–9. https://doi.org/10.5277/sgm041206
Powers MC (1953) A new roundness scale for sedimentary particles. J Sediment Res 23(2):117–119. https://doi.org/10.1306/D4269567-2B26-11D7-8648000102C1865D
Roessler T, Katterfeld A (2018) Scaling of the angle of repose test and its influence on the calibration of DEM parameters using upscaled particles. Powder Technol 330:58–66. https://doi.org/10.1016/j.powtec.2018.01.044
Rui R, Ye YQ, Han J, Zhang L, Zhai YX (2020) Experimental and theoretical investigations on active earth pressure distributions behind rigid retaining walls with narrow backfill under a translational mode. Int J Geomech 20(10):04020178. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001832
Sarno L, Tai YC, Carravetta A, Martino R, Papa MN, Kuo CY (2019) Challenges and improvements in applying a particle image velocimetry (PIV) approach to granular flows. J Phys: Conf Ser 1249(1):012011. https://doi.org/10.1088/1742-6596/1249/1/012011
Stamhuis E, Thielicke W (2014) PIVlab–towards user-friendly, affordable and accurate digital particle image velocimetry in MATLAB. J Open Res Softw 2(1):30
Tang H, Song R, Dong Y, Song X (2019) Measurement of restitution and friction coefficients for granular particles and discrete element simulation for the tests of glass beads. Materials 12(19):3170. https://doi.org/10.3390/ma12193170
Tejchman J, Kozicki J, Leśniewska D (2011) Discrete simulations of shear zone patterning in sand in earth pressure problems of a retaining wall. Int J Solids Struct 48(7–8):1191–1209. https://doi.org/10.1016/j.ijsolstr.2011.01.005
Tsuji Y, Tanaka T, Ishida T (1992) Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe. Powder Technol 71(3):239–250. https://doi.org/10.1016/0032-5910(92)88030-L
Walton OR, Johnson SM (2010) DEM simulations of the effects of particle shape, interparticle cohesion, and gravity on rotating drum flows of lunar regolith. In: Earth and Space 2010: Engineering, Science, Construction, and Operations in Challenging Environments, pp 36–41. https://doi.org/10.1061/41096(366)5
Wei D, Wang J, Nie J, Zhou B (2018a) Generation of realistic sand particles with fractal nature using an improved spherical harmonic analysis. Comput Geotech 104:1–2. https://doi.org/10.1016/j.compgeo.2018.08.002
Wei D, Wang J, Zhao B (2018b) A simple method for particle shape generation with spherical harmonics. Powder Technol 330:284–291. https://doi.org/10.1016/j.powtec.2018.02.006
Whitlow R (2001) Basic Soil Mechanics. Prentice Hall
Wilson P, Elgamal A (2010) Large-scale passive earth pressure load-displacement tests and numerical simulation. J Geotech Geoenviron Eng 136(12):1634–1643. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000386
Wu F, Fan Y, Liang L, Wang C (2016) Numerical simulation of dry granular flow impacting a rigid wall using the discrete element method. PLoS ONE 11(8):e0160756. https://doi.org/10.1371/journal.pone.0160756
Wu Y, An X, Qian Q, Wang L, Yu A (2018) Dynamic modelling on the confined crystallization of mono-sized cubic particles under mechanical vibration. The Eur Phys J E 41:1–4. https://doi.org/10.1140/epje/i2018-11744-2
Xu SY, Kannangara KP, Taciroglu E (2018) Analysis of the stress distribution across a retaining wall backfill. Comput Geotech 103:13–25. https://doi.org/10.1016/j.compgeo.2018.07.001
Zhou L, Chu X, Xu Y (2017) DEM investigation on characteristics of rolling resistance for modelling particle shape. In: EPJ Web of Conferences 140:05005. EDP Sciences. https://doi.org/10.1051/epjconf/201714005005
Zhou QY, Zhou YT, Wang XM, Yang PZ (2018) Estimation of active earth pressure on a translating rigid retaining wall considering soil arching effect. Indian Geotech J 48:541–548. https://doi.org/10.1007/s40098-017-0252-8
Acknowledgments
Research work has been conducted at Atatürk University. The authors would like to express their gratitude toward the Geotechnical Engineering Division for supplying them with the laboratory and the equipment needed for this study. We gratefully acknowledge that DEM simulations were conducted using EDEM particle simulation software provided by Altair EDEM.
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Nasirpur, O., Çelik, S. & Karimi, B. Modeling the Behavior of Granular Soils with Different Shape Characteristics Behind a Retaining Wall with Discrete Element and PIV Method. Iran J Sci Technol Trans Civ Eng (2023). https://doi.org/10.1007/s40996-023-01255-y
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DOI: https://doi.org/10.1007/s40996-023-01255-y