Grain Boundary Conformed Volumetric Mesh Generation from a Three-Dimensional Voxellated Polycrystalline Microstructure
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We present a new comprehensive scheme for generating grain boundary conformed, volumetric mesh elements from a three-dimensional voxellated polycrystalline microstructure. From the voxellated image of a polycrystalline microstructure obtained from the Monte Carlo Potts model in the context of isotropic normal grain growth simulation, its grain boundary network is approximated as a curvature-maintained conformal triangular surface mesh using a set of in-house codes. In order to improve the surface mesh quality and to adjust mesh resolution, various re-meshing techniques in a commercial software are applied to the approximated grain boundary mesh. It is found that the aspect ratio, the minimum angle and the Jacobian value of the re-meshed surface triangular mesh are successfully improved. Using such an enhanced surface mesh, conformal volumetric tetrahedral elements of the polycrystalline microstructure are created using a commercial software, again. The resultant mesh seamlessly retains the short- and long-range curvature of grain boundaries and junctions as well as the realistic morphology of the grains inside the polycrystal. It is noted that the proposed scheme is the first to successfully generate three-dimensional mesh elements for polycrystals with high enough quality to be used for the microstructure-based finite element analysis, while the realistic characteristics of grain boundaries and grains are maintained from the corresponding voxellated microstructure image.
KeywordsPolycrystal Grain boundary Microstructure-based FEM Mesh element quality
This work was supported by the Agency for Defense Development (ADD) and by the National Research Foundation of Korea (NRF) grant funded by the Ministry of Science, ICT & Future Planning (MSIP) (No. NRF-2015R1A5A1037627).
- 8.C. Herring, in The Physics of Powder Metallurgy, ed. by W. Kingston (McGraw-Hill, New York, 1951), p. 143Google Scholar
- 10.F. Barbe, R. Quey, 18 ème Congrès Français de Mécanique (2007)Google Scholar
- 20.M. Tanemura, Forma 18, 221–247 (2003)Google Scholar
- 30.W.J. Schroeder, J.A. Zarge, W.E. Lorensen, in SIGGRAPH ‘Proceedings of the 19th Annual Conference on Computer Graphics and Interactive Techniques’ (ACM, New York, 1992), pp. 65–70Google Scholar
- 34.P.M. Knupp, 45th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, SAND2007-8128C, AIAA (2007)Google Scholar
- 36.M. Goelke, Element quality and check (2014), http://www.altairuniversity.com. Accessed 25 July 2017
- 39.J. Shewchuk, What is a good linear finite element? Interpolation, conditioning, anisotropy, and quality measures, University of California at Berkeley, p. 73 (2002)Google Scholar
- 41.Wanai Li, Efficient Implementation of High-Order Accurate Numerical Methods on Unstructured Grids (Springer, Berlin, 2014), pp. 1–10Google Scholar
- 44.C. Hull, International Critical Tables of Numerical Data, Physics, Chemistry and technoLogy (National Academies, Washington, DC, 1929)Google Scholar
- 49.ASM International Handbook Committee, Properties and Selection: Nonferrous Alloys and Special-Purpose Materials (ASM International, USA, 2001)Google Scholar