Quality improvement of non-manifold hexahedral meshes for critical feature determination of microstructure materials

International Journal for Numerical Methods in Engineering

Volumn 82, Issue 11, 2010, Pages 1406-1423

  Qian, Jin ^a   Zhang, Yongjie ^a   Wang, Wenyan ^a   Lewis, Alexis C ^b   Siddiq Qidwai, M A ^b   Geltmacher, Andrew B ^b  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b NAVAL RESEARCH LABORATORY   (United States)

Author keywords

B spline curve; Geometric flow; Microstructure materials; Non manifold hexahedral mesh; Optimization; Pillowing; Quality improvement

Indexed keywords

B SPLINE CURVE; GEOMETRIC FLOW; GEOMETRIC FLOWS; HEXAHEDRAL MESH; QUALITY IMPROVEMENT;

FINITE ELEMENT METHOD; GEOMETRY; GRAIN BOUNDARIES; INTERPOLATION; MATERIALS; MICROSTRUCTURE; OPTIMIZATION; SPLINES; TITANIUM;

CURVE FITTING;

EID: 77952008061     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2810     Document Type: Article

References (45)

1. Cailletaud G, Forest S, Jeulin D, Feyel F, Galliet I, Mounoury V, Quilici S. Some elements of microstructural mechanics. Acta Materialia 2003; 27:351-374.
2. Dawson P, Mika D, Barton N. Finite element modeling of lattice misorientations in aluminum polycrystals. Scripta Materialia 2002; 47:713-717.
3. Ghosh S, Moorthy S. Three dimensional Voronoi cell finite element model for icrostructures with ellipsoidal heterogeneties. Computational Mechanics 2004; 34:510-531.
4. Rollett A, Lee S, Campman R, Rohrer G. Three-dimensional characterization of microstructure by electron back-scatter diffraction. Annual Review of Materials Research 2007; 37:627-658.
5. Groeber M, Ghosh S, Uchic M, Dimiduk D. A framework for automated analysis and simulation of 3D polycrystalline microstructures: part 1: statistical characterization. Acta Materialia 2008; 56:1257-1273.
6. Lee S, Rollett A, Rohrer G. Three-dimensional microstructure reconstruction using FIB-OIM. Materials Science Forum 2007; 558-559:915-920.
7. Lewis A, Bingert J, Rowenhorst D, Gupta A, Geltmacher A, Spanos G. Two and three dimensional microstructural characterization of a super-austenitic stainless steel. Materials Science and Engineering 2005; 418:11-18.
8. Spanos G, Rowenhorst D, Lewis A, Geltmacher A. Combining serial sectioning, EBSD analysis, and image-based finite element modeling. MRS Bulletin 2008; 33:597-602.
9. Lewis A, Geltmacher A. Image-based modeling of the response of experimental 3D microstructures to mechanical loading. Scripta Materialia 2006; 55(9):81-85.
10. Qidwai M, Lewis A, Geltmacher A. Image-based computational modeling and analysis of a beta titanium alloy. Acta Materialia 2009; under review.
11. Zhang Y, Hughes T, Bajaj C. An automatic 3D mesh generation method for domains with multiple materials. Computer Methods in Applied Mechanics and Engineering 2009; DOI: 10.1016/j.cma.2009.06.007.
12. Youssef S, Maire E, Gaertner R. Finite element modeling of the actual structure of cellular materials determined by X-ray tomography. Acta Materialia 2005; 53:719-730.
13. Lewis A, Jordan K, Geltmacher A. Determination of critical microstructural features in an austenitic stainless steel using image-based finite element modeling. Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science 2008; 39(5):1109-1117.
14. Rowenhorst D, Gupta A, Feng C, Spanos G. 3D crystallographic and morphological analysis of coarse martensite: combining EBSD and serial sectioning. Scripta Materialia 2006; 55:11-16.
15. Kral M, Spanos G. Three-dimensional analysis of proeutectoid cementite precipitates. Acta Materialia 1999; 47:711-724.
16. Chawla N, Ganesh V, Wunsch B. Three-dimensional (3D) microstructure visualization and finite element modeling of the mechanical behavior of SiC particle reinforced aluminum composites. Scripta Materialia 2004; 51:161-165.
17. Kanit T, Forest S, Galliet I, Mounoury V, Jeulin D. Determination of the size of the representative volume element for random composites: statistical and numerical approach. International Journal of Solids and Structures 2003; 40:3647-3679.
18. Diard O, Leclercq S, Rousselier G, Cailletaud G. Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity application to crystal plasticity model identification and the study of stress and strain fields near grain boundaries. International Journal of Plasticity 2005; 21:691-722.
19. Nygards M. Number of grains necessary to homogenize elastic materials with cubic symmetry. Mechanics of Materials 2003; 35:1049-1057.
20. Zhao Y, Tryon R. Automatic 3D simulation and micro-stress distribution of polycrystalline metallic materials. Computer Methods in Applied Mechanics and Engineering 2004; 193:3919-3934.
21. Field D. Laplacian smoothing and Delaunay triangulations. International Journal of Plasticity 1988; 4:709-712.
22. Kral M, Spanos G. Simulation of material microstructure using a 3D Voronoi tesselation: calculation of effective thermal expansion coefficient of polycrystalline materials. Acta Metallurgica et Materialia 1994; 42:3917-3927.
23. Schneiders R. A grid-based algorithm for the generation of hexahedral element meshes. Engineering with Computers 1996; 12:168-177.
24. Schneiders R, Weiler F. Octree-based generation of hexahedral element meshes. 5th International Meshing Roundtable Proceedings, Pittsburgh, PA, 1996; 205-216.
25. Shephard M, Georges M. Three-dimensional mesh generation by finite octree technique. International Journal for Numerical Methods in Engineering 1991; 32:709-749.
26. Price M, Armstrong C. Hexahedral mesh generation by medial surface subdivision: Part I. International Journal for Numerical Methods in Engineering 1995; 38:3335-3359.
27. Price M, Armstrong C. Hexahedral mesh generation by medial surface subdivision: Part II. International Journal for Numerical Methods in Engineering 1997; 40:111-136.
28. Blacker T, Myers R. Seams and wedges in plastering: a 3D hexahedral mesh generation algorithm. Engineering with Computers 1993; 2:83-93.
29. Tautges T, Blacker T, Mitchell S. The whisker-weaving algorithm: a aonnectivity based method for constructing all-hexahedral finite element meshes. International Journal for Numerical Methods in Engineering 1996; 39: 3327-3349.
30. Zhang Y, Bajaj C, Sohn B. 3D finite element meshing from imaging data. The Special Issue of Computer Methods in Applied Mechanics and Engineering on Unstructured Mesh Generation 2005; 194:5083-5106.
31. Zhang Y, Bajaj C. Adaptive and quality quadrilateral/hexahedral meshing from volumetricdata. Computer Methods in Applied Mechanics and Engineering 2006; 195:942-960.
32. Mitchell S, Tautges T. Pillowing doublets: refining a mesh to ensure that faces share at most one edge. 4th International Meshing Roundtable Proceedings, Albuquerque, NM, 1995; 231-240.
33. Shepherd J. Topologic and Geometric Constraint-based Hexahedral Mesh Generation. University of Utah, 2007.
34. Parrish M, Borden M, Staten M, Benzley S. A selective approach to conformal refinement of unstructured hexahedral finite element meshes. 16th International Meshing Roundtable Proceedings, Seattle, WA, 2007; 251-268.
35. Merkley K, Ernst C, Shepherd J, Borden M. Methods and applications of generalized sheet insertion hexahedral meshing. 16th International Meshing Roundtable Proceedings, Seattle, WA, 2007; 233-250.
36. Woodbury A, Shepherd J, Staten M, Benzley S. Localized coarsening of conforming all-hexahedral meshes. 17th International Meshing Roundtable Proceedings, Pittsburgh, PA, 2008; 603-619.
37. Shontz S, Vavasis S. A mesh warping algorithm based on weighted Laplacian smoothing. 12th International Meshing Roundtable Proceedings, Santa Fe, NM, 2003; 147-158.
38. Knupp P. Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part II-a framework for volume mesh optimization and the condition number of the Jacobian matrix. International Journal for Numerical Methods in Engineering 2000; 48:1165-1185.
39. Knupp P. Hexahedral and tetrahedral mesh untangling. Engineering with Computers 2001; 17:261-268.
40. Freitag L. On combining Laplacian and optimization-based mesh smoothing techniques. Trends in Unstructured Mesh Generation 1997; 220:37-43.
41. Canann S, Tristano J, Staten M. An approach to combined Laplacian and optimization-based smoothing for triangular, quadrilateral and quad-dominant meshes. 7th International Meshing Roundtable Proceedings, Dearborn, MI, 1998; 479-494.
42. Zhang Y, Bajaj C, Xu G. Surface smoothing and quality improvement of quadrilateral/hexahedral meshes with geometric flow. 14th International Meshing Roundtable Proceedings, San Diego, CA, 2005; 449-468.
43. Asaro R. Micromechanics of crystals and polycrystals. Division of Applied Sciences 1983; 23:1-115.
44. Huang Y. A user-material subroutine incorporating single crystal plasticity in the ABAQUS finite element program. Division of Applied Sciences 1991; 23:3647-3679.
45. Qian J, Zhang Y, Wang W, Lewis A, Qidwai M, Geltmacher A. Quality improvement of non-manifold hexahedral meshes for critical feature determination of microstructure materials. 18th International Meshing Roundtable Proceedings, Salt Lake City, UT, 2009; 211-230.