Abstract
One of the famous space decomposition algorithm known as Voronoi diagram is applied to express metal’s microstructure for the first time by fortuitous discovery of superficial analogy of Voronoi cell and metal’s crystal grain. Areas of Voronoi cells are controlled by locations and the number of seed points. And it can be correlated to grain size of microstructure and nuclei numbers. Therefore grain coarsening and refinement of microstructure can be described by Voronoi tessellation for simple case. In addition to this, columnar crystal caused by rapid cooling rate in one direction is also described by anisotropic locations of seed points which can be observed in typical weldment in easy. Although it needs more profound research about correlation between crystal grain growth and Voronoi diagram control variables, it shows fairly reasonable feasibility of adopting Voronoi tesselation as metal’s microstructure description and prediction tool.
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References
Lee DT, Schachter BJ (1980) Two algorithms for constructing a delaunay triangulation. Int J Comput Inform Sci 9(3):219–242
Chew LP (1989) Constrained delaunay triangulations. Algorithmica 4:97–108
Cao J, Zhuang W, Wang S, Ho KC, Zhang N, Lin J, Dean TA (2009) An integrated crystal plasticity FE system for microforming simulation. J Multiscale Model 1(1):107–204
Zhang P, Balint D, Lin J (2011) An integrated scheme for crystal plasticity analysis: virtual grain structure generation. Comput Mater Sci 50:2854–2864
Zhang P, Karimpour M, Balint D, Lin J, Farrugia D (2012) A controlled poisson Voronoi tessellation for grain and cohesive boundary generation applied to crystal plasticity analysis. Comput Mater Sci 64:84–89
Zhang P, Karimpour M, Balint D, Lin J (2012) Three-dimensional virtual grain structure generation with grain size control. Mech Mater 55:89–101
Ghosh S, Nowak Z, Lee K (1997) Quantitative characterization and modeling of composite microstructures by Voronoi cells. Acta Mater 45(6):2215–2234
Heijman MJGW, Benes NE, ten Elshof JE, Verweij H (2002) Quantitative analysis of the microstructural homogeneity of zirconia-toughened alumina composite. Mater Res Bull 37:141–149
Jacobs LJM, Danen KCH, Kemmere MF, Keurentjes JTF (2007) Quantitative morphology analysis of polymers foamed with supercritical carbon dioxide using Voronoi diagrams. Comput Mater Sci 38:751–758
Fan Z, Wu Y, Zhao X, Lu Y (2004) Simulation of polycrystalline structure with Voronoi diagram in laguerre geometry based on random closed packing of spheres. Comput Mater Sci 29:301–308
Wu Y, Zhou W, Wang B, Yang F (2010) Modeling and characterization of two-phase composites by Voronoi diagram in the laguerre geometry based on random close packing of spheres. Comput Mater Sci 47:951–961
Jafari R, Kazeminezhad M (2011) Microstructure generation of severely deformed materials using Voronoi diagram in laguerre geometry: full algorithm. Comput Mater Sci 50:2698–2705
Acknowledgments
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and Future Planning. (Grant No. 2012R1A1A1012487)
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Cho, J., Choi, M. (2015). Voronoi Diagram and Microstructure of Weldment. In: Park, J., Pan, Y., Chao, HC., Yi, G. (eds) Ubiquitous Computing Application and Wireless Sensor. Lecture Notes in Electrical Engineering, vol 331. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9618-7_1
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DOI: https://doi.org/10.1007/978-94-017-9618-7_1
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