Modeling of Polycrystalline Material Microstructure with 3D Grain Boundary Based on Laguerre–Voronoi Tessellation
Voronoi tessellations are shown to be statistically representative of polycrystalline microstructures, which have been widely accepted for the modeling of microstructures of metallurgic and ceramic materials. In this paper, a new implementation of the Voronoi diagram in Laguerre geometry is presente...
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MDPI AG
2022-03-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/15/6/1996 |
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| author | Xingshuai Zheng Tengfei Sun Jixing Zhou Rupeng Zhang Pingmei Ming |
| author_facet | Xingshuai Zheng Tengfei Sun Jixing Zhou Rupeng Zhang Pingmei Ming |
| author_sort | Xingshuai Zheng |
| collection | DOAJ |
| description | Voronoi tessellations are shown to be statistically representative of polycrystalline microstructures, which have been widely accepted for the modeling of microstructures of metallurgic and ceramic materials. In this paper, a new implementation of the Voronoi diagram in Laguerre geometry is presented for the generation of numerical models of polycrystalline microstructures, where the size and shape of the grains can be controlled, and the 3D grain boundaries can be modeled with a specified thickness. The distribution of grain sizes in the models is fitted to a lognormal distribution, compared with the normal distribution in the Voronoi tessellation methods. Finally, statistical analyses of grain face and grain size distribution are performed with the models, and the macroscopic elastic properties of polycrystalline ceramic materials are simulated to verify the capability of the presented method. |
| first_indexed | 2024-03-09T13:32:07Z |
| format | Article |
| id | doaj.art-5deaed9f51014b5da562fafa30399221 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-09T13:32:07Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-5deaed9f51014b5da562fafa303992212023-11-30T21:17:13ZengMDPI AGMaterials1996-19442022-03-01156199610.3390/ma15061996Modeling of Polycrystalline Material Microstructure with 3D Grain Boundary Based on Laguerre–Voronoi TessellationXingshuai Zheng0Tengfei Sun1Jixing Zhou2Rupeng Zhang3Pingmei Ming4School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, ChinaSchool of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, ChinaSchool of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, ChinaSchool of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, ChinaSchool of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000, ChinaVoronoi tessellations are shown to be statistically representative of polycrystalline microstructures, which have been widely accepted for the modeling of microstructures of metallurgic and ceramic materials. In this paper, a new implementation of the Voronoi diagram in Laguerre geometry is presented for the generation of numerical models of polycrystalline microstructures, where the size and shape of the grains can be controlled, and the 3D grain boundaries can be modeled with a specified thickness. The distribution of grain sizes in the models is fitted to a lognormal distribution, compared with the normal distribution in the Voronoi tessellation methods. Finally, statistical analyses of grain face and grain size distribution are performed with the models, and the macroscopic elastic properties of polycrystalline ceramic materials are simulated to verify the capability of the presented method.https://www.mdpi.com/1996-1944/15/6/1996polycrystalline materialmicrostructureLaguerre–Voronoi tessellationgrain boundary |
| spellingShingle | Xingshuai Zheng Tengfei Sun Jixing Zhou Rupeng Zhang Pingmei Ming Modeling of Polycrystalline Material Microstructure with 3D Grain Boundary Based on Laguerre–Voronoi Tessellation Materials polycrystalline material microstructure Laguerre–Voronoi tessellation grain boundary |
| title | Modeling of Polycrystalline Material Microstructure with 3D Grain Boundary Based on Laguerre–Voronoi Tessellation |
| title_full | Modeling of Polycrystalline Material Microstructure with 3D Grain Boundary Based on Laguerre–Voronoi Tessellation |
| title_fullStr | Modeling of Polycrystalline Material Microstructure with 3D Grain Boundary Based on Laguerre–Voronoi Tessellation |
| title_full_unstemmed | Modeling of Polycrystalline Material Microstructure with 3D Grain Boundary Based on Laguerre–Voronoi Tessellation |
| title_short | Modeling of Polycrystalline Material Microstructure with 3D Grain Boundary Based on Laguerre–Voronoi Tessellation |
| title_sort | modeling of polycrystalline material microstructure with 3d grain boundary based on laguerre voronoi tessellation |
| topic | polycrystalline material microstructure Laguerre–Voronoi tessellation grain boundary |
| url | https://www.mdpi.com/1996-1944/15/6/1996 |
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