DEM Simulation of Mechanical Behavior of Cemented Angular Sand under Isotropic Compression Test

Document Type : Research Article


1 Civil Eng. Department, Faculty of Engineering, Ferdowsi University of Mashhad

2 Civil Eng. Department, Faculty of engineering, Ferdowsi University of Mashhad

3 Faculty of Engineering, Ferdowsi University of Mashhad


The mechanical behavior of cemented sand is different from that of uncemented sand because of the presence of bonds between particles. In this study, the effect of bond strength on the mechanical behavior of cemented sand under isotropic compression test is investigated by using a numerical method called as Discrete Element Method (DEM) in a two-dimensional space. DEM is a powerful numerical tool by which, each particle is considered as a rigid body, and the equilibrium condition is satisfied by applying accelerations and displacement along with applied forces from adjacent particles. The novelty of this study in comparison to similar works is to consider the angular geometry of particle shape rather than supposing circular. The particles are connected to each other To simulate the cementation agent. For the simulation of bonds, a bond contact model is defined by considering tension, compression, and shear strengths; the tension and shear resistance of bonds are assumed to be equal. In this model, it is essential for particles to have physical contact and overlap to consider that they are bonded to each other. For the simulation of isotropic compression tests, the samples are loaded isotropically up to 60 MPa under different stress levels. The results indicate that with an increase in the bond strength, the sample resists higher against volume reduction, and also, primary and gross yield stresses increase. Results show that when a cemented sample reaches the primary yield point, the rate of broken bonds increases. The pressure that is carried out by bonds increases as the volumetric strain augments. In this research, the results are validated by existing experiments in the literature.


Main Subjects

[1]G.W. Clough, N. Sitar, R.C. Bachus, N.S. Rad, Cemented Sands under Static Loading Journal of the Geotechnical Engineering Division, 107(6) (1981) 799-817.
[2]M. Jiang, H.S. Yu, S. Leroueil, A simple and efficient approach to capturing bonding effect in naturally microstructured sands by discrete element method, Numerical Method in Engineering, 69(6) (2007) 1158-1193.
[3]M. Shakeri, S. Haeri, M. Shahrabi, A. Khosravi, A. Sajadi, An Experimental Study on Mechanical Behavior of a Calcite Cemented Gravelly Sand, Geotechnical Testing Journal 41 (2018) 494-507.
[4]S.M. Haeri, A. Hamidi, S.M. Hosseini, E. Asghari, Effect of cement type on the mechanical behavior of a gravely sand, Geotechnical and Geological Engineering, 24 (2006) 335-360.
[5]F. Schnaid, P.D.M. Prietto, N.C. Consoli, Characterization of Cemented Sand in Triaxial Compression, Journal of Geotechnical and Geoenvironmental Engineering, 127(10) (2001) 857-868.
[6]Z. Fu, S. Chen, H. Han, Large-scale triaxial experiments on the static and dynamic behavior of an artificially cemented gravel material, European Journal of Environmental and Civil Engineering,  (2020).
[7]M. Rezaeian, P.M.V. Ferreira, A. Ekinci, Mechanical behaviour of a compacted well-graded granular material with and without cement, Soils and Foundation, 59 (2019) 687-698.
[8]X.C. Jie Yang , Xing-Wen Guo, Jin-Lei Zhao Effect of Cement Content on the Deformation Properties of Cemented Sand and Gravel Material, Appl. Sci., 9, (2019) 23-69.
[9]D.D. Porcino, V. Marcaino, Bonding degradation and stress-dilatancy response of weakly cemented sands Geomechanics and Geoengineering, (2017).
[10]X.L. Dongliang Li, Xianshan Liu, Experimental Study on Artificial Cemented Sand Prepared with Ordinary Portland Cement with Different Contents, Materials (Basel), 8, (2015) 3960-3974.
[11]Y. Amini, A. Hamidi, E. Asghari, Shear strength–dilation characteristics of cemented sand–gravel mixtures, International Journal of Geotechnical Engineering, 8, (2014) 406-413.
[12]Y. Amini, A. Hamidi, Triaxial shear behavior of a cement-treated sand–gravel mixture, Journal of Rock Mechanics and Geotechnical Engineering, 6, (2014) 455-465.
[13]Y. Amini, A. Hamidi, E. Asghari, Shear Strength Characteristics of an Artificially Cemented Sand-Gravel Mixture, in, 2013, 88-95.
[14]A. Hamidi, S. Soleimani, Shear Strength-dilation relation in cemented gravely sand, International Journal of Geotechnical Engineering, 6  (2012).
[15]A.Marri, D.Wanatowski, H.S. Yu, Drained behaviour of cemented sand in high pressure triaxial compression tests, Geomechanics and Geoengineering, 7 (2012) 1-166.
[16]Y.H. Wang, S.C. Leung, Characterization of Cemented Sand by Experimental and Numerical Investigations, Journal of Geotechnical and Geoenvironmental Engineering, 134 (2008).
[17]E. Asghari, D.G. Toll, S.M. Haeri, Triaxial behaviour of a cemented gravely sand, Tehran alluvium, Geotechnical & Geological Engineering, 21 (2003) 1-28.
[18]E. Asghari, D.G. Toll, S.M. Haeri, Effect of Cementation on the Shear Strength of Tehran Gravelly Sand Using Triaxial Tests, Journal of Sciences, Islamic Republic of Iran, 15  (2004).
[19]S.M. Haeri, A. Seiphoori, A. Rahmati, The Behavior of a Limy Cemented Gravely Sand Under Static Loading-Case Study of Tehran Alluvium, Electronic Journal of Geotechnical Engineering (2008)
[20]M. Shahidi, F. Asemi, F. Farrokhi, Improving the Mechanical Behavior of Soil Contaminated with Gas–Oil Using Organoclay and Nanoclay, Arabian Journal for Science and Engineering, 48 (2022)
[21]S.A.S. S. Mohsen Haeri ; Mohammad Reza Shakeri, Evaluation of Dynamic Properties of a Calcite Cemented Gravely Sand Geotechnical Earthquake Engineering and Soil Dynamics IV (2012)
[22]J.-M. Dupas, A. Pecker, Static and Dynamic Properties of Sand-Cement, Journal of Geotechnical Division, 105 (1979).
[23]H. Rasouli, B. Fatahi, S. Nimbalkar, Liquefaction and post-liquefaction assessment of lightly cemented sands, 57(2) (2020) 173-188.
[24]N.C.C. G. V. Rotta, P. D. M. Prietto, M. R. Coop,  J. Graham, Isotropic yielding in an artificially cemented soil cured under stress, Géotechnique, 53(5) (2003) 493-501.
[25]N.C. Consoli, G.V. Rotta, P.D.M. Prietto, Yielding–compressibility–strength relationship for an artificially cemented soil cured under stress, Ge´otechnique 56 (2006) 69-72.
[26]P.A. Cundal, A Computer Model for Simulating Progressive Large Scale Movements in Blocky Rock Systems, Proceedings of the Symposium of the International Society for Rock Mechanics, Society for Rock Mechanics (ISRM),  (1971).
[27]P.A. Cundall, O.D.L. Strack, A discrete numerical model for granular assemblies, Géotechnique, 29(1) (1979) 47-65.
[28] M.J. Jiang, H.B. Yan, H.H. Zhu, S. Utili, Modeling shear behavior and strain localization in cemented sands by two-dimensional distinct element method analyses, Computers and Geotechnics, 38 (2011) 14-29.
[29]M. Jiang, W. Zhang, Y. Sun, S. Utili, An investigation on loose cemented granular materials via DEM analyses, Granular Matter, 15(1) (2013) 65-84.
[30]J.P. de Bono, G.R. McDowell, Discrete element modelling of one-dimensional compression of cemented sand, Granular Matter, 16(1) (2014) 79-90.
[31]J.P. de Bono, G.R. McDowell, DEM of triaxial tests on crushable sand, Granular Matter, 16(4) (2014) 551-562.
[32]S. Honari, E.S. Hosseininia, Particulate Modeling of Sand Production Using Coupled DEM-LBM, energies, 14 (2021).
[33]Z. Shen, M. Jiang, C. Thornton, DEM simulation of bonded granular material. Part I: Contact model and application to cemented sand, Computers and Geotechnics, 75 (2016) 192-209.
[34]Z. Shen, M. Jiang, DEM simulation of bonded granular material. Part II: Extension to grain-coating type methane hydrate bearing sand, Computers and Geotechnics, 75 (2016) 225-243.
[35]F.Z. Mingjing Jiang, Colin Thornton, A simple three‚Äźdimensional distinct element modeling of the mechanical behavior of bonded sands, Numerical and Analytical Method in Geomechanics, 39(16) (2015) 1791-1820.
[36]J. de Bono, G. McDowell, D. Wanatowski, Investigating the micro mechanics of cemented sand using DEM, International Journal for Numerical and Analytical Methods in Geomechanics, 39(6) (2015) 655-675.
[37]M. Obermayr, K.G. Dressler, C. Vrettos, P. Eberhard, A bonded-particle model for cemented sand, Computers and Geotechnics, 49 (2013).
[38]A.A. Mirghasemi, L Rothenburg, E. L.Matyas, Numerical Simulations of Assemblies of Two-Dimensional Polygon-Shaped Particles and Effects of Confining Pressure on Shear Strength, Soils and Foundations, 37(3) (1997) 43-52.
[39]E.S. Hosseininia, A. Mirghasemi, Numerical simulation of breakage of two-dimensional polygon-shaped particles using discrete element method, Powder Technology, 166(2) (2006).
[40]E.S. Hosseininia, A.A.Mirghasemi, Effect of particle breakage on the behavior of simulated angular particle assemblies, China Particuology, 5(5) (2007) 328-336.
[41]E.S. Hosseininia, Investigating the micromechanical evolutions within inherently anisotropic granular materials using discrete element method, Granular Matter, 14 (2012) 483-503.
[42]E.S. Hosseininia, Discrete element modeling of inherently anisotropic granular assemblies with polygonal particles, Particuology, 10 (2012) 542-552.
[43]E.S. Hosseininia, Stress-force-fabric relationship for planar granular materials, Géotechnique, 63 (2013) 830-841.
[44]E.S. Hosseininia, A micromechanical study on the stress rotation in granular materials due to fabric evolution, Powder Technology, 2015 (2015) 462-474.
[45]M. Khabazian, E.S. Hosseininia, Instability of saturated granular materials in biaxial loading with polygonal particles using discrete element Method (DEM), Powder Technology, 363 (2020) 428-441.
[46]N.C. Consoli, G.V. Rotta, D. Foppa, M. Fahey, Mathematical model for isotropic compression behaviour of cemented soil cured under stress, Geomechanics and Geoengineering: an International Journal, 2(4) (2007) 269-280.