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Discrete element method simulation of random Voronoi grain-based models

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Abstract

The generation of random Voronoi grain-based models for DEM simulation is proposed in this investigation. Voronoi diagram has important applications in rock engineering and geological engineering. However, the application of 3D Voronoi models has been limited due to the difficulty of generating 3D Voronoi domains. Little research has been done on the Voronoi tessellations of objects with irregular shapes. Voronoi tessellations of objects with regular and irregular shapes are investigated by using the Matlab function mpt_voronoi. The proposed models are then employed to simulate micro-fracturing and tension cracks in brittle rock. The 3D Voronoi grain-based slope model is used to investigate the dynamic response and failure mechanism of the rock slopes during earthquakes. The failures of rock slopes are actually due to the increasing and expanding of the tension cracks, the development of the tension surfaces and sliding of the blocks during earthquakes. The 2D Voronoi grain-based specimen composed of clusters is adopted to carry out rock fragmentation by TBM cutters. PFC simulation results reveal that the damaged rock undergoes some volume dilation that causes the expansion of the crushed zone and the propagation of the vertical crack. The rock fragmentations are actually caused by the increasing of the tension cracks. According to the simulation, it is believed that Voronoi grain-based models will contribute to an improved knowledge of DEM simulation.

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Acknowledgements

This work was financially supported by National Natural Science Funds (Nos. 50878123 and 11072257), National Natural Science Funds for Distinguished Young Scholar (No. 51025935 and No. 51009086) and Major State Basic Research Development Program of China (973 Program) (No. 2010CB732001). Young Scholars Development Fund of SWPU (201599010101).

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Authors and Affiliations

  1. School of Mechatronic Engineering, Southwest Petroleum University, Chengdu, 610500, Sichuan, China

    Yanxin Lv, Xiaohua Zhu & Weiji Liu

  2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, 430071, China

    Yanxin Lv & Haibo Li

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  1. Yanxin Lv
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  2. Haibo Li
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Correspondence to Yanxin Lv.

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Lv, Y., Li, H., Zhu, X. et al. Discrete element method simulation of random Voronoi grain-based models. Cluster Comput 20, 335–345 (2017). https://doi.org/10.1007/s10586-016-0705-3

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