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| Numerical study on fabric properties of random dense packing structures of complex convex polyhedrons: Effects of shape parameters |
| Received:February 25, 2022 Revised:April 16, 2022 |
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| DOI：10.7511/jslxCMGM202202 |
| KeyWord:granular materials convex polyhedron dense packing fabric properties shape parameters |
| Author | Institution |
| 贾明坤 |
河海大学 力学与材料学院 固体力学研究所, 南京 |
| 王伟 |
河海大学 力学与材料学院 固体力学研究所, 南京 |
| 张斌 |
河海大学 力学与材料学院 固体力学研究所, 南京 |
| 许文祥 |
河海大学 力学与材料学院 固体力学研究所, 南京 |
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| Abstract: |
| The macroscopic physical and mechanical properties of granular materials depend on the mesoscopic grain fabric properties of packing structures of particles.It is of great significance to study the grain fabric properties of packing structures of particles.However,current researches are mostly focused on regular geometric objects such as spheres,ellipsoids and regular polyhedrons,and there is no systematic study on the grain fabric properties of packing structures of complex convex polyhedrons.In this paper,a set of complex convex polyhedron particle models (Polyκ-ngs) were firstly generated based on spheroidal golden spiral lattice,the relaxation algorithm was then developed to obtain the random dense packing structures,and finally the effects of shape parameters on the fabric properties of the random dense packing structures of Polyκ-ngs were discussed.The results show the aspect ratio κ and the number of vertices ngs both affect the fabric properties,while κ is the main factor.The location distribution of particles in the random dense packing structures is homogeneous while the orientation distribution is not.The closer the aspect ratio κis to 1,and the larger the number of vertices ngs is,the stronger the spatial long-range order is in the packing.The farther the aspect ratio κis away from 1,the higher the heterogeneity of the orientation distribution is.The maximum packing density of Polyκ-ngs particles first increases and then decreases with the increase of the aspect ratio κ,and the peak is reached when κ=1.The probability distribution of coordination number obeys Gaussian distribution and the variation of average coordination number with shape parameters is not consistent with the packing fraction.The number ratio of face to face (f-f) contact first increases and then decreases with the increase of aspect ratio κ,which is consistent with the variation of packing density.This research establishes a numerical framework for the simulation of dense packing of complex convex polyhedrons,and the conclusions provide references for the design and performance optimization of granular materials with convex polyhedrons. |
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