摘要Variation of packing density in particle deforming from spheres to cubes is studied. A new model is presented to describe particle deformation between different particle shapes. Deformation is simulated by relative motion of component spheres in the sphere assembly model of a particle. Random close packings of particles in deformation form spheres to cubes are simulated with an improved relaxation algorithm. Packings in both 2D and 3D cases are simulated. With the simulations, we find that the packing density increases while the particle sphericity decreases in the deformation. Spheres and cubes give the minimum (0.6404) and maximum (0.7755) of packing density in the deformation respectively. In each deforming step, packings starting from a random configuration and from the final packing of last deforming step are both simulated. The packing density in the latter case is larger than the former in two dimensions, but is smaller in three dimensions. The deformation model can be applied to other particle shapes as well.
Abstract：Variation of packing density in particle deforming from spheres to cubes is studied. A new model is presented to describe particle deformation between different particle shapes. Deformation is simulated by relative motion of component spheres in the sphere assembly model of a particle. Random close packings of particles in deformation form spheres to cubes are simulated with an improved relaxation algorithm. Packings in both 2D and 3D cases are simulated. With the simulations, we find that the packing density increases while the particle sphericity decreases in the deformation. Spheres and cubes give the minimum (0.6404) and maximum (0.7755) of packing density in the deformation respectively. In each deforming step, packings starting from a random configuration and from the final packing of last deforming step are both simulated. The packing density in the latter case is larger than the former in two dimensions, but is smaller in three dimensions. The deformation model can be applied to other particle shapes as well.
ZHAO Jian;LI Shui-Xiang. Numerical Simulation of Random Close Packings in Particle Deformation from Spheres to Cubes[J]. 中国物理快报, 2008, 25(11): 4034-4037.
ZHAO Jian, LI Shui-Xiang. Numerical Simulation of Random Close Packings in Particle Deformation from Spheres to Cubes. Chin. Phys. Lett., 2008, 25(11): 4034-4037.
[1] Weitz D A 2004 Science 303 968 [2] Zou R P and Yu A B 1996 Powder Technol. 88 71 [3] Dong Q and Ye D N 1993 Chin. Sci. Bull. 38 54 [4] Charles R A, Frederico W T and Marcelo C 2003 Powder Technol. 134 167 [5] Sacanna S et al 2007 J. Physics: Condensed Matter 19 376108 [6] Nolan G T and Kavanagh P E 1995 Powder Technol. 84 199 [7] Li S X and Zhao J 2009 Chin. J. Comput. Phys. 26 (accepted) [8] He D, Ekere N N and Cai L 1999 Phys. Rev. E 60 7098 [9] Li S X, Zhao J and Zhou X 2008 Chin. Phys. Lett. 25 1724 [10] Man W M et al 2005 Phys. Rev. Lett. 94 198001 [11] Donev A et al 2004 Phys. Rev. Lett. 92 255506
2008, Vol. 25 
