Abstract
Based on the configuration principle of the discrete element method, local Delaunay mesh, and distance control the method, the overlapping discrete element cluster, non-overlapping discrete element cluster are employed to model mesoscopic geotechnical particles using discrete elements comprised of disks (or spheres). A kinetic compatibility procedure is established for adjusting the disk (or sphere) densities. Based on overlapping discrete element cluster modeling method, a new method, named boundary filling discrete element cluster method, has been put forward. The applicability of each method is considered by means of a numerical experiment. Of the three methods laboratory test considered, the boundary filing discrete element cluster modeling method demonstrated the highest calculation efficiency, followed by the overlapping discrete element cluster modeling method. Relative to these methods, the non-overlapping discrete element cluster modeling method is applicable to simulation of the deformation and fracture of particles, although the method demonstrates lower computational efficiency. All three methods can be readily applied to three-dimensional cases; thus, the discussed modeling methods will be beneficial in the field of mesoscopic analysis of geo-materials.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-015-0557-1/MediaObjects/10035_2015_557_Fig1_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-015-0557-1/MediaObjects/10035_2015_557_Fig2_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-015-0557-1/MediaObjects/10035_2015_557_Fig3_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-015-0557-1/MediaObjects/10035_2015_557_Fig4_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-015-0557-1/MediaObjects/10035_2015_557_Fig5_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-015-0557-1/MediaObjects/10035_2015_557_Fig6_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-015-0557-1/MediaObjects/10035_2015_557_Fig7_HTML.jpg)
Similar content being viewed by others
References
Höhner, D., Wirtz, S., Scherer, V.: A numerical study on the influence of particle shape on hopper diskharge within the polyhedral and multi-sphere discrete element method. Powder Technol. 226, 16–28 (2012)
Govender, N., Wilke, D.N., Kok, S., Els, R.: Development of a convex polyhedral discrete element simulation framework for NVIDIA Kepler based GPUs. J. Comput. Appl. Math. 270, 386–400 (2014)
Li, Y., Yong, X., Thornton, C.: A comparison of discrete element simulations and experiments for ’sand piles’ composed of spherical particles. Powder Technol. 160, 219–228 (2005)
Zhou, Y.C., Xu, B.H., Yu, A.B., Zulli, P.: An experimental and numerical study of the angle of repose of coarse spheres. Powder Technol. 125, 45–54 (2002)
Matuttis, H.G., Luding, S., Herrmann, H.J.: Discrete element simulations of dense packings and heaps made of spherical and non-spherical particles. Powder Technol. 109, 278–292 (2000)
Sukumaran, B., Ashmawy, A.K.: Influence of inherent particle characteristics on hopper flow rate. Powder Technol. 138, 46–50 (2003)
Latham, J.P., Munjiza, A.: The modelling of particle systems with real shapes. R. Soc. 362, 1953–1972 (2004)
Kačianauskas, R., Tumonis, L., Džiugys, A.: Simulation of the normal impact of randomly shaped quasi-spherical particles. Granul. Matter 16, 339–347 (2014)
Cundall, P.A., Strack, O.D.: A discrete numerical model for granular assemblies. Geotechnique 29(1), 47–65 (1979)
Ferellec, J.-F., McDowell, G.R.: A method to model realistic particle shape and inertia in DEM. Granul. Matter 12, 459–467 (2010)
Eliá š, J.: Simulation of railway ballast using crushable polyhedral particles. Powder Technol. 264, 458–465 (2014)
Askarishahi, M., Salehi, M.-S., Molaei Dehkordi, A.: Numerical investigation on the solid flow pattern in bubbling gas–solid fluidized beds. Powder Technol. 264, 466–476 (2014)
Yun, T., Kim, Y.: Evaluation of particle simulation methods using aggregate angularity and slump tests. Constr. Build. Mater. 66, 549–566 (2014)
Markauskas, D., Kacianauskas, R., Dziugys, A., Navakas, R.: Investigations of adequacy of multi-sphere approximation of elliptical particles for DEM simulations. Granul. Matter 12(1), 107–123 (2010)
Höhner, D., Wirtz, S., Scherer, V.: A study on the in fluence of particle shape and shape approximation on particle mechanics in a rotating drum using the discrete element method. Powder Technol. 253, 256–265 (2014)
Ashmawy, A.K., Sukumaran, B., Hoang, A.V.: Evaluating the influence of particle shape on liquefaction behavior using Discrete Element Method. In: Proceedings of the Thirteenth International Offshore and Polar Engineering Conference (ISOPE 2003) Honolulu, Hawii, May (2003)
Das, N., Giordano, P., Barrot, D., et al.: Discrete element modeling and shape characterization of realistic granular shapes. Int. Offshore Polar Eng. Conf. Proc. 2, 525–532 (2008)
Jensen, R., Bosscher, P., Plesha, M., Edil, T.: DEM simulation of granular media-structure interface: effect of surface roughness and particle shape. Int. J. Numer. Anal. Methods Geomech. 23, 531–547 (1999)
Alonso-Marroquin, F.: Spheropolygons: a new method to simulate conservative and dissipative interactions between 2D complex-shaped rigid bodies. EPL Europhys. Lett. 83(1), 14001 (2008)
Phillips, C.L., et al.: Optimal filling of shapes. Phys. Rev. Lett. 108(19), 198304 (2012)
Kruggel-Emden, H., Rickelt, S., Wirtz, S., Scherer, V.: A study on the validity of the multi-sphere discrete element method. Powder Technol. 188, 153–165 (2008)
Liu, Y., Lo, S.H., Guan, Z.Q., Zhang, H.W.: Boundary recovery for 3D Delaunay triangulation. Finite Elem. Anal. Des. 84, 32–43 (2014)
Galindo-Torres, S.A., Munoz, J.D., Alonso-Marroquin, F.: Minkowski-Voronoi diagrams as a method to generate random packings of spheropolygons for the simulation of soils. Phys. Rev. E 82, 056713 (2010)
Bagi, K.: An algorithm to generate random dense arrangements for discrete element simulations of granular assemblies. Granul. Matter 7(1), 31–43 (2005)
Damasceno, P.F., Engel, M., Glotzer, S.C.: Predictive self-assembly of polyhedra into complex structures. Science 337, 453–457 (2012)
Acknowledgments
This research work was partially carried out with financial support from the National Basic Research Program of China (973 Program) (2015CB057903),the National Natural Science Foundation of China (Grant No. 51309089), the National Key Technology R&D Program (Grant No. 2013BAB06B01), the Natural Science Foundation of Jiangsu Province (Grant No. BK20130846) and the Fundamental Research Funds for the Central Universities (2014B04914). We thank LetPub (www.letpub.com) for its linguistic assistance during the preparation of this manuscript.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shi, C., Li, Dj., Xu, Wy. et al. Discrete element cluster modeling of complex mesoscopic particles for use with the particle flow code method. Granular Matter 17, 377–387 (2015). https://doi.org/10.1007/s10035-015-0557-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10035-015-0557-1