journal article·2014-06

Simulation of the normal impact of randomly shaped quasi-spherical particles

Rimantas Kačianauskas, Liudas Tumonis, Algis Džiugys

Granular Matter· Volume 16· Issue 3
Publisher page

Abstract

The paper reports the modelling of randomly shaped particles. An emphasis is placed on the illustration of random properties of particles, using simulations with a controlled probability distribution for the depth of the surface profile. The randomly-shaped quasi-spherical particles were described by applying a multi-sphere approximation and a statistical evaluation technique, and the surface of the particles was approximated using randomly located overlapping subspheres. The concept of statistically similar particles, i.e., particles characterised by having a similar probability distribution for the depth of the surface profile, was employed for these purposes, and an original method involving the application of a stochastic optimisation was developed. The optimization method was demonstrated by generating statistically similar particles. The contact behaviour was investigated by simulating a random particle impact against a wall, using the discrete element method. It was observed that statistically similar particles did not show statistically similar contact characteristics. The results of this study suggested that the refinement of the multi-sphere model (achieved by increasing the number of subspheres) was non-unique, not only in a deterministic context but also in statistical context, and that this subject requires further investigation.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Granular flow and fluidized beds · Particle Dynamics in Fluid Flows · Adhesion, Friction, and Surface Interactions

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (34)

Show source-provided references
1. Cundall, P., Strack, O.: A discrete numerical model for granular assemblies. Geotechnique 29, 47–65 (1979)10.1680/geot.1979.29.1.47 ↗
2. Herrmann, H., Luding, S.: Modeling granular media on the computer. Continuum Mech. Thermodyn. 10, 189–231 (1998)
3. Džiugys, A., Peters, B.: An approach to simulate the motion of spherical and non-spherical fuel particles in combustion chambers. Granul. Matter 3, 231–266 (2001)10.1007/PL00010918 ↗
4. Latham, J., Munjiza, A.: The modelling of particle systems with real shapes. Phil. Trans. R. Soc. Lond. A 362, 1953–1972 (2004)10.1098/rsta.2004.1425 ↗
5. Cleary, P.: The effect of particle shape on simple shear flows. Powder Technol. 179, 144–163 (2008)10.1016/j.powtec.2007.06.018 ↗
6. Wachs, A., Girolami, L., Vinay, G., Ferrer, G.: Grains 3D, a flexible DEM approach for particles of arbitrary convex shape-Part I: numerical model and validations. Powder Technol. 224, 374–389 (2012)10.1016/j.powtec.2012.03.023 ↗
7. Lu, G., Third, J.R.R., Müller, C.R.R.: Critical assessment of two approaches for evaluating contacts between super-quadric shaped particles in DEM simulations. Chem. Eng. Sci. 78, 226–235 (2012)10.1016/j.ces.2012.05.041 ↗
8. Cundall, P.A.: Formulation of a three-dimensional distinct element model—part 1. A scheme to detect and represent contacts in a system composed of many polyhedral blocks. Int. J. Rock Mech. Min. Sci. 25(3), 107–116 (1988)10.1016/0148-9062(88)92293-0 ↗
9. Chen, J., Schinner, A., Matuttis, H.-G.: Discrete element simulation for polyhedral granular particles. Theor. Appl. Mech. Jpn. 59, 335–346 (2010)
10. Gallas, J., Sokolowski, S.: Grain non-sphericity effects on the angle of repose of granular material. Int. J. Mod. Phys. B 7, 2037–2046 (1993)10.1142/S0217979293002754 ↗
11. Favier, J., Abbaspour-Fard, M.H., Kremmer, M., Raji, A.O.: Shape representation of axi-symmetrical, non-spherical particles in discrete element simulation using multi-element model particles. Eng. Comput. 16, 467–480 (1999)10.1108/02644409910271894 ↗
12. Garcia, X., Xiang, J., Latham, J.-P., Harrison, J.P.P.: A clustered overlapping sphere algorithm to represent real particles in discrete element modelling. Géotechnique 59, 779–784 (2009)10.1680/geot.8.T.037 ↗
13. Ferellec, J.-F., McDowell, G.R.: A method to model realistic particle shape and inertia in DEM. Granul. Matter 12, 459–467 (2010)10.1007/s10035-010-0205-8 ↗
14. Abbaspour-Fard, M.H., Emadi, B., Khojastehpour, M.: Role of model particle shape in discrete element models of bed structure in containers. J. Food Process Eng. 33, 117–130 (2010)10.1111/j.1745-4530.2008.00322.x ↗
15. Tumonis, L., Kačianauskas, R., Norkus, A., Žilionienė, D.: Comparison study of spherical and multi-spherical particles under cyclic uniaxial compression. J. Civ. Eng. Manag. 18, 537–545 (2012)10.3846/13923730.2012.702127 ↗
16. González-Montellano, C., Gallego, E., Ramírez-Gómez, Á., Ayuga, F.: Three dimensional discrete element models for simulating the filling and emptying of silos: analysis of numerical results. Comput. Chem. Eng. 40, 22–32 (2012)10.1016/j.compchemeng.2012.02.007 ↗
17. Abbaspour-Fard, M.H.H.: Theoretical validation of a multi-sphere, discrete element model suitable for biomaterials handling simulation. Biosyst. Eng. 88, 153–161 (2004)10.1016/j.biosystemseng.2004.03.010 ↗
18. Markauskas, D., Kačianauskas, R., Džiugys, A., Navakas, R.: Investigation of adequacy of multi-sphere approximation of elliptical particles for DEM simulations. Granul. Matter 12, 107–123 (2009)10.1007/s10035-009-0158-y ↗
19. 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)10.1016/j.powtec.2008.04.037 ↗
20. Kodam, M., Bharadwaj, R., Curtis, J., Hancock, B., Wassgren, C.: Force model considerations for glued-sphere discrete element method simulations. Chem. Eng. Sci. 64, 3466–3475 (2009)
21. Szarf, K., Combe, G., Villard, P.: Polygons vs. clumps of discs: a numerical study of the influence of grain shape on the mechanical behaviour of granular materials. Powder Technol. 208, 279–288 (2011)10.1016/j.powtec.2010.08.017 ↗
22. Höhner, D., Wirtz, S., Kruggel-Emden, H., Scherer, V.: Comparison of the multi-sphere and polyhedral approach to simulate non-spherical particles within the discrete element method: Influence on temporal force evolution. Powder Technol. 208, 643–656 (2011)10.1016/j.powtec.2011.01.003 ↗
23. Höhner, D., Wirtz, S., Scherer, V.: A numerical study on the influence of particle shape on hopper discharge within the polyhedral and multi-sphere discrete element method. Powder Technol. 226, 16–28 (2012)10.1016/j.powtec.2012.03.041 ↗
24. Höhner, D., Wirtz, S., Scherer, V.: A study on the influence of particle shape and shape approximation on particle mechanics in a rotating drum using the discrete element method. Powder Technol. 253, 256–265 (2014)10.1016/j.powtec.2013.11.023 ↗
25. Pournin, L., Liebling, Th.M.: A generalization of distinct element method to tridimensional particles with complex shapes. In: García-Rojo, R., Herrmann, H.J., McNamara, S. (eds.) Powders and Grains 2005, vol II, pp. 1375–1378. A.A. Balkema, Rotterdam (2005)
26. Galindo-Torres, S., Alonso-Marroquín, F., Wang, Y.C., Pedroso, D., Castañ, D.M.: Molecular dynamics simulation of complex particles in three dimensions and the study of friction due to nonconvexity. Phys. Rev. E 79, 060301 (2009)10.1103/PhysRevE.79.060301 ↗
27. Ludewig, F., Vandewalle, N.: Strong interlocking of nonconvex particles in random packings. Phys. Rev. E. 85, 051307 (2012)10.1103/PhysRevE.85.051307 ↗
28. Kruyt, N.P., Rothenburg, L.: Probability density functions of contact forces for cohesionless frictional granular materials. Int. J. Solids Struct. 39, 571–583 (2002)10.1016/S0020-7683(01)00190-1 ↗
29. Müller, M.-K., Luding, S., Pöschel, T.: Force statistics and correlations in dense granular packings. Chem. Phys. 375, 600–605 (2010)10.1016/j.chemphys.2010.07.020 ↗
30. Jin, F., Xin, H., Zhang, C., Sun, Q.: Probability-based contact algorithm for non-spherical particles in DEM. Powder Technol. 212, 134–144 (2011)10.1016/j.powtec.2011.05.003 ↗
31. Montaine, M., Heckel, M., Kruelle, C., Schwager, T., Pöschel, T.: Coefficient of restitution as a fluctuating quantity. Phys. Rev. E 84, 41306 (2011)10.1103/PhysRevE.84.041306 ↗
32. Johnson, K.L.: Contact Mech. Cambridge University Press, Cambridge (1985)10.1017/CBO9781139171731 ↗
33. Persson, B.N.J.: Contact mechanics for randomly rough surfaces. Surf. Sci. Rep. 61, 201–227 (2006)10.1016/j.surfrep.2006.04.001 ↗
34. Li, J., Rhinehart, R.R.: Heuristic random optimization. Comput. Chem. Eng. 22, 427–444 (1998)10.1016/S0098-1354(97)00005-7 ↗