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2015 | OriginalPaper | Chapter

1. Voronoi Diagram and Microstructure of Weldment

Authors : Jungho Cho, Min Choi

Published in: Ubiquitous Computing Application and Wireless Sensor

Publisher: Springer Netherlands

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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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Literature
1.
3.
go back to reference 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):107–204CrossRef 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):107–204CrossRef
4.
go back to reference Zhang P, Balint D, Lin J (2011) An integrated scheme for crystal plasticity analysis: virtual grain structure generation. Comput Mater Sci 50:2854–2864CrossRef Zhang P, Balint D, Lin J (2011) An integrated scheme for crystal plasticity analysis: virtual grain structure generation. Comput Mater Sci 50:2854–2864CrossRef
5.
go back to reference 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 64:84–89CrossRef 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 64:84–89CrossRef
6.
go back to reference Zhang P, Karimpour M, Balint D, Lin J (2012) Three-dimensional virtual grain structure generation with grain size control. Mech Mater 55:89–101CrossRef Zhang P, Karimpour M, Balint D, Lin J (2012) Three-dimensional virtual grain structure generation with grain size control. Mech Mater 55:89–101CrossRef
7.
go back to reference Ghosh S, Nowak Z, Lee K (1997) Quantitative characterization and modeling of composite microstructures by Voronoi cells. Acta Mater 45(6):2215–2234CrossRef Ghosh S, Nowak Z, Lee K (1997) Quantitative characterization and modeling of composite microstructures by Voronoi cells. Acta Mater 45(6):2215–2234CrossRef
8.
go back to reference Heijman MJGW, Benes NE, ten Elshof JE, Verweij H (2002) Quantitative analysis of the microstructural homogeneity of zirconia-toughened alumina composite. Mater Res Bull 37:141–149CrossRef Heijman MJGW, Benes NE, ten Elshof JE, Verweij H (2002) Quantitative analysis of the microstructural homogeneity of zirconia-toughened alumina composite. Mater Res Bull 37:141–149CrossRef
9.
go back to reference 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 38:751–758CrossRef 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 38:751–758CrossRef
10.
go back to reference 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 29:301–308CrossRef 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 29:301–308CrossRef
11.
go back to reference 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 47:951–961CrossRef 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 47:951–961CrossRef
12.
go back to reference Jafari R, Kazeminezhad M (2011) Microstructure generation of severely deformed materials using Voronoi diagram in laguerre geometry: full algorithm. Comput Mater Sci 50:2698–2705CrossRef Jafari R, Kazeminezhad M (2011) Microstructure generation of severely deformed materials using Voronoi diagram in laguerre geometry: full algorithm. Comput Mater Sci 50:2698–2705CrossRef
Metadata
Title
Voronoi Diagram and Microstructure of Weldment
Authors
Jungho Cho
Min Choi
Copyright Year
2015
Publisher
Springer Netherlands
DOI
https://doi.org/10.1007/978-94-017-9618-7_1