Abstract
In this paper, we propose a geometric algorithm method to generate a specimen of arbitrary shapes with restricted overlap values. In the previous studies, samples consist of thousands spheres often uses dynamic method which takes several hours or more, additionally, overlap between spheres is inevitable. The developed geometric algorithm starts with one given sphere, its coordinate and radius are predefined. Around with this given sphere, the authorized spheres (radius ranges from minimum and maximum radii values) are continuously to be put and expand outward until filling up the structure that meshed by triangular or number of spheres is reached. Furthermore, the periodic boundary is adopted to generate a large scale symmetrical specimen. The averaged coordination number and the solid fraction of specimen which generated by this packing method are reasonable. Finally, this method is used in a real engineering problem to reveal the generation process.
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References
Cundall, P.A., Strack, O.D.L.: A discrete numerical model for granular assemblies. Geotechnique 29(1), 47–65 (1979)
Camborde, F., Mariotti, C., Donze, F.V.: Numerical study of rock and concrete behaviour by discrete element modelling. Comput. Geotech. 27(4), 225–247 (2000)
Magnier, S.A., Donze, F.V.: Numerical simulation of impacts using a discrete element method. Mech. Cohesiv Frict. Mater. 3(3), 257–276 (1998)
Donze, F.V., Richefeu, V., Magnier, S.A.: Advances in discrete element method applied to soil, rock and concrete mechanics. Electron. J. Geotechn. Eng. 8, 44 (2009)
Feng, Y.T., Han, K., Owen, D.R.J.: Filling domains with disks: an advancing front approach. Int. J. Numer. Method Eng. 56, 699–713 (2003)
Bagi, K.: An algorithm to generate random dense arrangements for discrete element simulations of granular assemblies. Granul. Matter 7(1), 31–43 (2005)
Cui, L., O’Sullivan, C.: Analysis of a triangulation based approach for specimen generation for discrete element simulations. Granul. Matter 5(3), 135–145 (2003)
Yang, R.Y., Zou, R.P., Yu, A.B.: Computer, simulation of the packing of one particle. Phys. Rev. E 62(3), 3900–3908 (2000)
Jerier, J.F., Richefeu, V., Imbault, D., Donze, F.V.: Packing spherical discrete elements for large scale simulations. Comput. Methods Appl. Mech. Eng. 199(25–28), 1668–1676 (2010)
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Li, Y., Ji, S. (2017). Sphere Packing Based on Geometric Algorithm Generation Method. In: Li, X., Feng, Y., Mustoe, G. (eds) Proceedings of the 7th International Conference on Discrete Element Methods. DEM 2016. Springer Proceedings in Physics, vol 188. Springer, Singapore. https://doi.org/10.1007/978-981-10-1926-5_22
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DOI: https://doi.org/10.1007/978-981-10-1926-5_22
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Online ISBN: 978-981-10-1926-5
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