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Volumn 200, Issue 17-20, 2011, Pages 1729-1745

Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing

Author keywords

Crystal plasticity; Finite element method; Meshing; Polycrystal; Remeshing; Voronoi tessellation

Indexed keywords

A-PLANE; CRYSTAL PLASTICITY; ELEMENT QUALITY; FINITE ELEMENT METHOD SIMULATION; HIGH QUALITY; LARGE STRAINS; MESH QUALITY; MESHING; MESHING ALGORITHM; MORPHOLOGICAL PROPERTIES; OPEN-SOURCE; RANDOM POLYCRYSTALS; REMESHING; STATE VARIABLES; STATISTICAL ANALYSIS; VORONOI TESSELLATIONS;

EID: 79951959188     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2011.01.002     Document Type: Article
Times cited : (1033)

References (49)
  • 1
    • 3442883619 scopus 로고    scopus 로고
    • Characterization of three-dimensional grain structure in polycrystalline iron by serial sectioning
    • Zhang C., Suzuki A., Ishimaru T., Enomoto M. Characterization of three-dimensional grain structure in polycrystalline iron by serial sectioning. Metal. Mater. Trans. A 2004, 35A:1927-1953.
    • (2004) Metal. Mater. Trans. A , vol.35 A , pp. 1927-1953
    • Zhang, C.1    Suzuki, A.2    Ishimaru, T.3    Enomoto, M.4
  • 2
    • 3442889382 scopus 로고    scopus 로고
    • Quantitative characterization of the three-dimensional microstructure of polycrystalline Al-Sn using X-ray microtomography
    • Döbrich K., Rau C., Krill C. Quantitative characterization of the three-dimensional microstructure of polycrystalline Al-Sn using X-ray microtomography. Metal. Mater. Trans. A 2004, 35A:1953-1961.
    • (2004) Metal. Mater. Trans. A , vol.35 A , pp. 1953-1961
    • Döbrich, K.1    Rau, C.2    Krill, C.3
  • 3
    • 77955424420 scopus 로고    scopus 로고
    • Three-dimensional analysis of grain topology and interface curvature in a β-titanium alloy
    • Rowenhorst D., Lewis A., Spanos G. Three-dimensional analysis of grain topology and interface curvature in a β-titanium alloy. Acta Mater. 2010, 58:5511-5519.
    • (2010) Acta Mater. , vol.58 , pp. 5511-5519
    • Rowenhorst, D.1    Lewis, A.2    Spanos, G.3
  • 4
    • 0032476391 scopus 로고    scopus 로고
    • On modelling the elasto-viscoplastic response of metals using polycrystal plasticity
    • Marin E.B., Dawson P.R. On modelling the elasto-viscoplastic response of metals using polycrystal plasticity. Comput. Methods Appl. Mech. Engrg. 1998, 165:1-21.
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.165 , pp. 1-21
    • Marin, E.B.1    Dawson, P.R.2
  • 5
    • 0032476428 scopus 로고    scopus 로고
    • Elastoplastic finite element analyses of metal deformations using polycrystal constitutive models
    • Marin E.B., Dawson P.R. Elastoplastic finite element analyses of metal deformations using polycrystal constitutive models. Comput. Methods Appl. Mech. Engrg. 1998, 165:23-41.
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.165 , pp. 23-41
    • Marin, E.B.1    Dawson, P.R.2
  • 6
    • 0034744746 scopus 로고    scopus 로고
    • Intergranular and intragranular behavior of polycrystalline aggregates. Part 1: F.E. model
    • Barbe F., Decker L., Jeulin D., Cailletaud G. Intergranular and intragranular behavior of polycrystalline aggregates. Part 1: F.E. model. Int. J. Plast. 2001, 17(4):513-536.
    • (2001) Int. J. Plast. , vol.17 , Issue.4 , pp. 513-536
    • Barbe, F.1    Decker, L.2    Jeulin, D.3    Cailletaud, G.4
  • 7
    • 0034744745 scopus 로고    scopus 로고
    • Intergranular and intragranular behavior of polycrystalline aggregates. Part 2: Results
    • Barbe F., Forest S., Cailletaud G. Intergranular and intragranular behavior of polycrystalline aggregates. Part 2: Results. Int. J. Plast. 2001, 17(4):537-563.
    • (2001) Int. J. Plast. , vol.17 , Issue.4 , pp. 537-563
    • Barbe, F.1    Forest, S.2    Cailletaud, G.3
  • 8
    • 0030151735 scopus 로고    scopus 로고
    • Effects of interactions among crystals on the inhomogeneous deformations of polycrystals
    • Sarma G.B., Dawson P.R. Effects of interactions among crystals on the inhomogeneous deformations of polycrystals. Acta Mater. 1996, 44(5):1937-1953.
    • (1996) Acta Mater. , vol.44 , Issue.5 , pp. 1937-1953
    • Sarma, G.B.1    Dawson, P.R.2
  • 9
    • 0037048602 scopus 로고    scopus 로고
    • On the dependence of in-grain subdivision and deformation texture of aluminum on grain interaction
    • Raabe D., Zhao Z., Mao W. On the dependence of in-grain subdivision and deformation texture of aluminum on grain interaction. Acta Mater. 2002, 50(17):4379-4394.
    • (2002) Acta Mater. , vol.50 , Issue.17 , pp. 4379-4394
    • Raabe, D.1    Zhao, Z.2    Mao, W.3
  • 10
    • 33947248652 scopus 로고    scopus 로고
    • Influence of in-grain mesh resolution on the prediction of deformation textures in fcc polycrystals by crystal plasticity FEM
    • Zhao Z., Kuchnicki S., Radovitzky R., Cuitiño A. Influence of in-grain mesh resolution on the prediction of deformation textures in fcc polycrystals by crystal plasticity FEM. Acta Mater. 2007, 55(7):2361-2373.
    • (2007) Acta Mater. , vol.55 , Issue.7 , pp. 2361-2373
    • Zhao, Z.1    Kuchnicki, S.2    Radovitzky, R.3    Cuitiño, A.4
  • 11
    • 63749091911 scopus 로고    scopus 로고
    • Sensitivity to grain discretization of the simulated crystal stress distributions in FCC polycrystals
    • Ritz H., Dawson P.R. Sensitivity to grain discretization of the simulated crystal stress distributions in FCC polycrystals. Model. Simul. Mater. Sci. Engrg. 2009, 17:1-21.
    • (2009) Model. Simul. Mater. Sci. Engrg. , vol.17 , pp. 1-21
    • Ritz, H.1    Dawson, P.R.2
  • 12
    • 68149139616 scopus 로고    scopus 로고
    • Three-Dimensional characterization of strain localization bands in a high-resolution elastoplastic polycrystal
    • Barbe F., Quey R., Musienko A., Cailletaud G. Three-Dimensional characterization of strain localization bands in a high-resolution elastoplastic polycrystal. Mech. Res. Commmun. 2009, 36:762-768.
    • (2009) Mech. Res. Commmun. , vol.36 , pp. 762-768
    • Barbe, F.1    Quey, R.2    Musienko, A.3    Cailletaud, G.4
  • 13
    • 0037644851 scopus 로고    scopus 로고
    • Determination of the size of the representative volume element for random composites: statistical and numerical approach
    • 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. Int. J. Solids Struct. 2003, 40(13-14):3647-3679.
    • (2003) Int. J. Solids Struct. , vol.40 , Issue.13-14 , pp. 3647-3679
    • Kanit, T.1    Forest, S.2    Galliet, I.3    Mounoury, V.4    Jeulin, D.5
  • 14
    • 10044271773 scopus 로고    scopus 로고
    • 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
    • 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. Int. J. Plast. 2005, 21(4):691-722.
    • (2005) Int. J. Plast. , vol.21 , Issue.4 , pp. 691-722
    • Diard, O.1    Leclercq, S.2    Rousselier, G.3    Cailletaud, G.4
  • 15
    • 60249086457 scopus 로고    scopus 로고
    • Modeling viscoplastic behavior and heterogeneous intracystalline deformation of culumnar ice polycrystals
    • Lebensohn R., Montagnat M., Mansuy P., Duval P., Meysonnier J., Philip A. Modeling viscoplastic behavior and heterogeneous intracystalline deformation of culumnar ice polycrystals. Acta Mater. 2009, 57:1405-1415.
    • (2009) Acta Mater. , vol.57 , pp. 1405-1415
    • Lebensohn, R.1    Montagnat, M.2    Mansuy, P.3    Duval, P.4    Meysonnier, J.5    Philip, A.6
  • 16
    • 79955662631 scopus 로고    scopus 로고
    • A numerical modelling of 3D polycrystal-to-polycrystal diffusive phase transformations involving crystal plasticity, Int. J. Plast., uncorrected proofs, doi: doi:10.1016/j.ijplas.2010.09.008
    • F. Barbe, R. Quey, A numerical modelling of 3D polycrystal-to-polycrystal diffusive phase transformations involving crystal plasticity, Int. J. Plast., uncorrected proofs, doi: doi:10.1016/j.ijplas.2010.09.008.
    • Barbe, F.1    Quey, R.2
  • 17
    • 0033901776 scopus 로고    scopus 로고
    • Three-dimensional microstructural evolution in ideal grain growth - General statistics
    • Wakai F., Enomoto N., Ogawa H. Three-dimensional microstructural evolution in ideal grain growth - General statistics. Acta Mater. 2000, 48:1297-1311.
    • (2000) Acta Mater. , vol.48 , pp. 1297-1311
    • Wakai, F.1    Enomoto, N.2    Ogawa, H.3
  • 18
    • 0037125176 scopus 로고    scopus 로고
    • Computer simulation of 3D grain growth using a phase-field model
    • Krill C., Chen L.-Q. Computer simulation of 3D grain growth using a phase-field model. Acta Mater. 2002, 50:3057-3073.
    • (2002) Acta Mater. , vol.50 , pp. 3057-3073
    • Krill, C.1    Chen, L.-Q.2
  • 19
    • 70350682075 scopus 로고    scopus 로고
    • Adaptative mesh refinement and automatic remeshing in crystal plasticity finite element simulations
    • Resk H., Delannay L., Bernacki M., Coupez T., Logé R. Adaptative mesh refinement and automatic remeshing in crystal plasticity finite element simulations. Model. Simul. Mater. Sci. Engrg. 2009, 17:1-22.
    • (2009) Model. Simul. Mater. Sci. Engrg. , vol.17 , pp. 1-22
    • Resk, H.1    Delannay, L.2    Bernacki, M.3    Coupez, T.4    Logé, R.5
  • 20
    • 33646168480 scopus 로고    scopus 로고
    • 3D reconstruction of microstructure in a commercial purity aluminum
    • Brahme A., Alvi M., Saylor D., Fridy J., Rollett A. 3D reconstruction of microstructure in a commercial purity aluminum. Scr. Mater. 2006, 55:75-80.
    • (2006) Scr. Mater. , vol.55 , pp. 75-80
    • Brahme, A.1    Alvi, M.2    Saylor, D.3    Fridy, J.4    Rollett, A.5
  • 21
    • 0035899581 scopus 로고    scopus 로고
    • N-site modeling of a 3D viscoplastic polycrystal using fast Fourier transform
    • Lebensohn R. N-site modeling of a 3D viscoplastic polycrystal using fast Fourier transform. Acta Mater. 2001, 49:2723-2737.
    • (2001) Acta Mater. , vol.49 , pp. 2723-2737
    • Lebensohn, R.1
  • 22
    • 51349106533 scopus 로고    scopus 로고
    • Investigation of three-dimensional aspects of grain-scale plastic surface deformation of an aluminum oligocrystal
    • Zhao Z., Ramesh M., Raabe D., Cuitiño A., Radovitzky R. Investigation of three-dimensional aspects of grain-scale plastic surface deformation of an aluminum oligocrystal. Int. J. Plast. 2008, 24:2278-2297.
    • (2008) Int. J. Plast. , vol.24 , pp. 2278-2297
    • Zhao, Z.1    Ramesh, M.2    Raabe, D.3    Cuitiño, A.4    Radovitzky, R.5
  • 23
    • 4544360336 scopus 로고    scopus 로고
    • Grain-boundary sliding and separation in polycrystalline metals: application to nanocrystalline fcc metals
    • Wei Y., Anand L. Grain-boundary sliding and separation in polycrystalline metals: application to nanocrystalline fcc metals. J. Mech. Phys. Solids 2004, 52:2587-2616.
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 2587-2616
    • Wei, Y.1    Anand, L.2
  • 25
    • 67649099371 scopus 로고    scopus 로고
    • Simulation of inter- and transgranular crack propagation in polycrystalline aggregates due to stress corrosion cracking
    • Musienko A., Cailletaud G. Simulation of inter- and transgranular crack propagation in polycrystalline aggregates due to stress corrosion cracking. Acta Mater. 2009, 57:3840-3855.
    • (2009) Acta Mater. , vol.57 , pp. 3840-3855
    • Musienko, A.1    Cailletaud, G.2
  • 26
    • 0000579421 scopus 로고
    • Random subdivisions of space into crystals
    • Gilbert E. Random subdivisions of space into crystals. Ann. Math. Stat. 1962, 33:958-972.
    • (1962) Ann. Math. Stat. , vol.33 , pp. 958-972
    • Gilbert, E.1
  • 27
    • 0036643764 scopus 로고    scopus 로고
    • Three-dimensional periodic Voronoi grain models and micromechanical FE-simulations of a two-phase steel
    • Nygårds M., Gudmundson P. Three-dimensional periodic Voronoi grain models and micromechanical FE-simulations of a two-phase steel. Comput. Mater. Sci. 2002, 24(4):513-519.
    • (2002) Comput. Mater. Sci. , vol.24 , Issue.4 , pp. 513-519
    • Nygårds, M.1    Gudmundson, P.2
  • 28
    • 58149513129 scopus 로고    scopus 로고
    • Periodic three-dimensional mesh generation for crystalline aggregates based on Voronoi tessellations
    • Fritzen F., Böhlke T., Schnack E. Periodic three-dimensional mesh generation for crystalline aggregates based on Voronoi tessellations. Comput. Mech. 2009, 43:701-713.
    • (2009) Comput. Mech. , vol.43 , pp. 701-713
    • Fritzen, F.1    Böhlke, T.2    Schnack, E.3
  • 30
    • 0029216328 scopus 로고
    • Monte-Carlo study of angular and edge length distributions in a three-dimensional Poisson-Voronoi tesselation
    • Kumar S., Kurtz S.K. Monte-Carlo study of angular and edge length distributions in a three-dimensional Poisson-Voronoi tesselation. Mater. Charact. 1995, 34(1):15-27.
    • (1995) Mater. Charact. , vol.34 , Issue.1 , pp. 15-27
    • Kumar, S.1    Kurtz, S.K.2
  • 31
    • 67650149648 scopus 로고    scopus 로고
    • Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities
    • Geuzaine C., Remacle J.-F. Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. Int. J. Numer. Methods Engrg. 2009, 79:1309-1331.
    • (2009) Int. J. Numer. Methods Engrg. , vol.79 , pp. 1309-1331
    • Geuzaine, C.1    Remacle, J.-F.2
  • 32
    • 0002542988 scopus 로고    scopus 로고
    • Netgen, an advancing front 2D/3D-mesh generator based on abstract rules
    • Schoberl J. Netgen, an advancing front 2D/3D-mesh generator based on abstract rules. Comput. Visual. Sci. 1997, 52:1-41.
    • (1997) Comput. Visual. Sci. , vol.52 , pp. 1-41
    • Schoberl, J.1
  • 33
    • 64249164305 scopus 로고    scopus 로고
    • Influence of grain shape on the planar anisotropy of rolled steel sheets - Evaluation of three models
    • Delannay L., Melchior M.A., Signorelli J.W., Remacle J.-F., Kuwabara T. Influence of grain shape on the planar anisotropy of rolled steel sheets - Evaluation of three models. Comput. Mater. Sci. 2009, 45:739-743.
    • (2009) Comput. Mater. Sci. , vol.45 , pp. 739-743
    • Delannay, L.1    Melchior, M.A.2    Signorelli, J.W.3    Remacle, J.-F.4    Kuwabara, T.5
  • 35
    • 84940605935 scopus 로고    scopus 로고
    • Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator, Applied Computational Geometry: Towards Geometric Engineering
    • Shewchuk J. Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator, Applied Computational Geometry: Towards Geometric Engineering. Lecture Notes in Computer Science 1996, 1148:203-222.
    • (1996) Lecture Notes in Computer Science , vol.1148 , pp. 203-222
    • Shewchuk, J.1
  • 36
    • 79952537102 scopus 로고    scopus 로고
    • Neper: a 3D random polycrystal generator for the finite element method (version 1.9)
    • Neper: a 3D random polycrystal generator for the finite element method (version 1.9), http://neper.sourceforge.net.
  • 37
    • 79952535913 scopus 로고    scopus 로고
    • Scotch and libScotch 5.1 User's Guide, INRIA Bordeaux Sud-Ouest, ENSEIRB & LaBRI, UMR CNRS 5800.
    • F. Pellegrini, Scotch and libScotch 5.1 User's Guide, INRIA Bordeaux Sud-Ouest, ENSEIRB & LaBRI, UMR CNRS 5800, 2008.
    • (2008)
    • Pellegrini, F.1
  • 38
    • 79952537923 scopus 로고    scopus 로고
    • Povray: the persistence of vision raytracer
    • Povray: the persistence of vision raytracer, http://www.povray.org.
  • 39
    • 74549126734 scopus 로고    scopus 로고
    • Microtexture tracking in hot-deformed polycrystalline aluminium: experimental results
    • Quey R., Piot D., Driver J.H. Microtexture tracking in hot-deformed polycrystalline aluminium: experimental results. Acta Mater. 2010, 58:1629-1642.
    • (2010) Acta Mater. , vol.58 , pp. 1629-1642
    • Quey, R.1    Piot, D.2    Driver, J.H.3
  • 40
    • 76249120695 scopus 로고    scopus 로고
    • Microtexture tracking in hot-deformed polycrystalline aluminium: comparison with simulations
    • Quey R., Piot D., Driver J.H. Microtexture tracking in hot-deformed polycrystalline aluminium: comparison with simulations. Acta Mater. 2010, 58:2271-2281.
    • (2010) Acta Mater. , vol.58 , pp. 2271-2281
    • Quey, R.1    Piot, D.2    Driver, J.H.3
  • 41
    • 0033729283 scopus 로고    scopus 로고
    • Computational modeling of f.c.c. deformation textures over Rodrigues' space
    • Kumar A., Dawson P.R. Computational modeling of f.c.c. deformation textures over Rodrigues' space. Acta Mater. 2000, 48(10):2719-2736.
    • (2000) Acta Mater. , vol.48 , Issue.10 , pp. 2719-2736
    • Kumar, A.1    Dawson, P.R.2
  • 42
    • 0031270452 scopus 로고    scopus 로고
    • Hot rolling textures of f.c.c. metals - Part I. Experimental results on Al single and polycrystals
    • Maurice C., Driver J.H. Hot rolling textures of f.c.c. metals - Part I. Experimental results on Al single and polycrystals. Acta Mater. 1997, 45(11):4627-4638.
    • (1997) Acta Mater. , vol.45 , Issue.11 , pp. 4627-4638
    • Maurice, C.1    Driver, J.H.2
  • 43
    • 0031272736 scopus 로고    scopus 로고
    • Hot rolling textures of f.c.c. metals - Part II. Numerical simulations
    • Maurice C., Driver J.H. Hot rolling textures of f.c.c. metals - Part II. Numerical simulations. Acta Mater. 1997, 45(11):4639-4649.
    • (1997) Acta Mater. , vol.45 , Issue.11 , pp. 4639-4649
    • Maurice, C.1    Driver, J.H.2
  • 44
    • 84977303592 scopus 로고
    • On the statistical analysis of orientation data
    • Krieger Lassen N.C., Jensen D.J., Conradsen K. On the statistical analysis of orientation data. Acta Crystall. 1994, A50:741-748.
    • (1994) Acta Crystall. , vol.A50 , pp. 741-748
    • Krieger, L.N.C.1    Jensen, D.J.2    Conradsen, K.3
  • 45
    • 0000960330 scopus 로고    scopus 로고
    • Determination of a mean orientation from a cloud of orientations. Application to electron back-scattering pattern measurements
    • Humbert M., Gey N., Muller J., Esling C. Determination of a mean orientation from a cloud of orientations. Application to electron back-scattering pattern measurements. J. Appl. Crystallogr. 1996, 26:662-666.
    • (1996) J. Appl. Crystallogr. , vol.26 , pp. 662-666
    • Humbert, M.1    Gey, N.2    Muller, J.3    Esling, C.4
  • 46
    • 0035130725 scopus 로고    scopus 로고
    • Orientation averaging of electron backscattered diffraction data
    • Humphreys F.J., Bate P.S., Hurley P.J. Orientation averaging of electron backscattered diffraction data. J. Microstruc. 2001, 201:50-58.
    • (2001) J. Microstruc. , vol.201 , pp. 50-58
    • Humphreys, F.J.1    Bate, P.S.2    Hurley, P.J.3
  • 47
    • 0034984793 scopus 로고    scopus 로고
    • Orientation distribution analysis in deformed grains
    • Glez J.-C., Driver J.H. Orientation distribution analysis in deformed grains. J. Appl. Crystallogr. 2001, 34:280-288.
    • (2001) J. Appl. Crystallogr. , vol.34 , pp. 280-288
    • Glez, J.-C.1    Driver, J.H.2
  • 48
    • 79952534406 scopus 로고    scopus 로고
    • Orilib: a collection of routines for orientation manipulation (version 2.0)
    • Orilib: a collection of routines for orientation manipulation (version 2.0), http://orilib.sourceforge.net.
  • 49
    • 53749097260 scopus 로고    scopus 로고
    • Momentum advection on unstructured staggered quadrilateral meshes
    • Benson D.J. Momentum advection on unstructured staggered quadrilateral meshes. Int. J. Numer. Methods Engrg. 2008, 75:1549-1580.
    • (2008) Int. J. Numer. Methods Engrg. , vol.75 , pp. 1549-1580
    • Benson, D.J.1


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