Measurement of interfacial evolution in three dimensions

Annual Review of Materials Research

Volumn 42, Issue , 2012, Pages 105-124

  Rowenhorst, D J ^a   Voorhees, P W ^b  

^a NAVAL RESEARCH LABORATORY   (United States)

^b Northwestern University   (United States)

Author keywords

Dendritic coarsening; Grain growth; Serial sectioning; X ray tomography

Indexed keywords

DENDRITIC SYSTEMS; DESTRUCTIVE TECHNIQUES; EX SITU; EXPERIMENTAL MEASUREMENTS; IN-SITU; INITIAL CONDITIONS; NON-DESTRUCTIVE TECHNIQUE; POLYCRYSTALLINE; SERIAL SECTIONING; SOLID-LIQUID SYSTEM; THREE DIMENSIONS; THREE-DIMENSIONAL MEASUREMENTS; X-RAY TOMOGRAPHY;

GRAIN GROWTH; SINTERING;

THREE DIMENSIONAL COMPUTER GRAPHICS;

EID: 84864194300     PISSN: 15317331     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev-matsci-070511-155028     Document Type: Review

References (91)

1. Mangan MA, Shiflet G. 1997. Three dimensional investigation of Cu-Ti discontinuous precipitation. Scr. Mater. 37(4):517-22
2. Kral MV, SpanosG. 1999. Three-dimensional analysis of proeutectoid cementite precipitates. Acta Mater. 47:711-24
3. Spowart JE. 2006. Automated serial sectioning for 3-D analysis of microstructures. Scr. Mater. 55:5-10
4. Dillon S, Rohrer G. 2009. Characterization of the grain-boundary character and energy distributions of yttria using automated serial sectioning and EBSD in the FIB. J. Am. Ceram. Soc. 92(7):1580-85
5. Rowenhorst DJ, Lewis AC, Spanos G. 2010. Three-dimensional analysis of grain topology and interface curvature in a -titanium alloy. Acta Mater. 58(16):5511-19
6. Alkemper J, Voorhees PW. 2001. Quantitative serial sectioning analysis. J. Microsc. Oxf. 201:388-94
7. Spowart J,MullensHM,Puchala BT. 2003. Collecting and analyzingmicrostructures in three dimensions: a fully automated approach. JOM 55(10):35-37
8. Wall MA, Schwartz A, Nguyen L. 2001. A high-resolution serial sectioning specimen preparation technique for application to electron backscatter diffraction. Ultramicroscopy 88:73-83
9. Rowenhorst D, Gupta A, Feng CR, Spanos G. 2006. 3D crystallographic and morphological analysis of coarse martensite: combining EBSD and serial sectioning. Scr. Mater. 55(1):11-16
10. Uchic MD, Groeber MA, Dimiduk DM, Simmons JP. 2006. 3D microstructural characterization of nickel superalloys via serial-sectioning using a dual beam FIB-SEM. Scr. Mater. 55:23-28
11. Zaafarani N, Raabe D, Singh RN, Roters F, Zaefferer S. 2006. Three- dimensional investigation of the texture and microstructure below a nanoindent in a Cu single crystal using 3DEBSD and crystal plasticity finite element simulations. Acta Mater. 54:1863-76
12. Kotula PG, Keenan MR,Michael JR. 2003. Automated analysis of SEMX-ray spectral images: a powerful new microanalysis tool. Microsc. Microanal. 9(1):1-17
13. Cloetens P, Barrett R, Baruchel J, Guigay JP, Schlenker M. 1996. Phase objects in synchrotron radiation hard X-ray imaging. J. Phys. D Appl. Phys. 29(1):133-46
14. Snigirev A, Snigireva I, Kohn V, Kuznetsov S, Schelokov I. 1995. On the possibilities of X-ray phase contrast microimaging by coherent high-energy synchrotron radiation. Rev. Sci. Instrum. 66(12):5486-92
15. Poulsen H, Nielsen SF, Lauridsen EM, Schmidt S, Suter R, et al. 2001. Three-dimensional maps of grain boundaries and the stress state of individual grains in polycrystals and powders. J. Appl. Crystallogr. 34:751-56
16. Lauridsen EM, Schmidt S, Suter RM, Poulsen HF. 2001. Tracking: a method for structural characterization of grains in powders or polycrystals. J. Appl. Crystallogr. 34(6):744-50
17. Ludwig W, Reischig P, King A, Herbig M, Lauridsen EM, et al. 2009. Three-dimensional grain mapping by X-ray diffraction contrast tomography and the use of Friedel pairs in diffraction data analysis. Rev. Sci. Instrum. 80(3):033905
18. Suter RM, Hennessy D, Xiao C, Lienert U. 2006. Forward modeling method for microstructure reconstruction using X-ray diffraction microscopy: single-crystal verification. Rev. Sci. Instrum. 77(12): 123905
19. Suter RM, Hefferan CM, Li SF, Hennessy D, Xiao C, et al. 2008. Probing microstructure dynamics with X-ray diffraction microscopy. J. Eng. Mater. Technol. 130(2):0210071
20. Mullins WW. 1956. Two-dimensional motion of idealized grain boundaries. J. Appl. Phys. 27(8):900-4
21. von Neumann J. 1952. Metal interfaces. Presented at Natl. Metal Congr. Expos., 33rd, Detroit, October 13-19, 1951, ed. C Herring, pp. 335. Cleveland: Am. Soc. Metals
22. Cahn JW. 1967. Significance of average mean curvature and its determination by quantitative metallography. Trans. Metall. Soc. AIME 239(5):610-16
23. MacPherson RD, Srolovitz DJ. 2007. The von Neumann relation generalized to coarsening of threedimensional microstructures. Nature 446:1053-55
24. Rhines FN, Patterson BR. 1982. Effect of the degree of prior cold work on the grain volume distribution and the rate of grain-growth of recrystallized aluminum. Metall. Mater. Trans. A 13(6):985-93
25. D obrich KM, Rau C, Krill CE. 2004. Quantitative characterization of the three-dimensional microstructure of polycrystalline Al-Sn using X-ray microtomography. Metall. Mater. Trans. A 35:1953-61
26. Krill CE, Chen L. 2002. Computer simulation of 3-D grain growth using a phase-field model. Acta Mater. 50:3057-73
27. ZhangC, Enomoto M, Suzuki A, IshimaruT. 2004. Characterization of three-dimensional grain structure in polycrystalline iron by serial sectioning. Metall. Mater. Trans. A 35:1927-33
28. Rhines FN, Craig KR, Rousse DA. 1976. Measurement of average grain volume and certain topological parameters by serial section analysis. Metall. Mater. Trans. A 7(11):1729-34
29. Aboav DA. 1970. Arrangement of grains in a polycrystal. Metallography 3:383-90
30. Weaire D. 1974. Some remarks on the arrangement of grains in a polycrystal. Metallography 7:157-60
31. Rowenhorst DJ, LewisAC. 2011. Image processing and analysis of 3-D microscopy data.JOM63(3):53-57
32. Tewari A, Gokhale AM, German RM. 1999. Effect of gravity on three-dimensional coordination number distribution in liquid phase sintered microstructures. Acta Mater. 47:3721-34
33. Lieberman SI, Gokhale AM, Tamirisakandala S. 2007. Reconstruction of three-dimensional microstructures of TiB whiskers in powder processed Ti-6 Al-4 V-1B alloys. Mater. Charact. 58:527-33
34. Wakai F,Enomoto N, OgawaH. 2000. Three-dimensionalmicrostructural evolution in ideal grain growth general statistics. Acta Mater. 48(6):1297-311
35. Z ollner D, Streitenberger P. 2006. Three-dimensional normal grain growth: Monte Carlo Potts model simulation and analytical mean field theory. Scr. Mater. 54(9):1697-702
36. Pande CS, McFadden GB. 2010. Self-similar grain size distribution in three dimensions: a stochastic treatment. Acta Mater. 58:1037-44
37. Lorensen WE, Cline HE. 1987. Marching cubes: a high resolution 3D surface construction algorithm. Comput. Graph. (ACM) 21:163-69
38. Rivier N. 1982. Recent results on the ideal structure of glasses. J. Phys., Colloque 43(12):91-95
39. WeaireD, Phelan R. 1994. A counterexample to Kelvin conjecture onminimal-surfaces. Philos.Mag. Lett. 69(2):107-10
40. Hilgenfeldt S, Kraynik AM, Koehler SA, Stone HA. 2001. An accurate von Neumann's law for threedimensional foams. Phys. Rev. Lett. 86(12):2685-88
41. Glicksman M. 2005. Analysis of 3-D network structures. Philos. Mag. 85(1):3-31
42. Rios PR, Glicksman ME. 2008. Polyhedral model for self-similar grain growth. Acta Mater. 56:1165-71
43. Morawiec A. 2000. Method to calculate the grain boundary energy distribution over the space of macroscopic boundary parameters from the geometry of triple junctions. Acta Mater. 48(13):3525-32
44. Saylor DM,Morawiec A, Rohrer GS. 2003. Distribution of grain boundaries in magnesia as a function of five macroscopic parameters. Acta Mater. 51(13):3663-74
45. Saylor DM,Morawiec A, Rohrer GS. 2003. The relative free energies of grain boundaries in magnesia as a function of five macroscopic parameters. Acta Mater. 51:3675-86
46. Groeber MA, Ghosh S, Uchic MD, Dimiduk DM. 2007. Developing a robust 3-D characterization representation framework for modeling polycrystalline materials. JOM 59:32-36
47. Miller HM. 2008. Influences of processing and composition on the grain boundary character distribution. Ph.D. thesis. Carnegie Mellon Univ., Pittsburgh, PA. 206 pp.
48. Li J, Dillon SJ, Rohrer GS. 2009. Relative grain boundary area and energy distributions in nickel. Acta Mater. 57:4304-11
49. Rohrer GS, Li J, Lee S, Rollett AD, Groeber MA, Uchic MD. 2010. Deriving grain boundary character distributions and relative grain boundary energies from three-dimensional EBSD data. Mater. Sci. Technol. 26(6):661-69
50. Rohrer G, Holm EA, Rollett A, Foiles SM, Li J, Olmsted D. 2010. Comparing calculated and measured grain boundary energies in nickel. Acta Mater. 58:5063-69
51. Holm EA, RohrerGS, Foiles SM, Rollett AD, MillerHM, Olmsted DL. 2011. Validating computed grain boundary energies in fccmetals using the grain boundary character distribution. Acta Mater. 59(13):5250-56
52. Rohrer GS. 2005. Influence of interface anisotropy on grain growth and coarsening. Annu. Rev. Mater. Res. 35:99-126
53. Rollett AD, Lee SB, Campman R, Rohrer GS. 2007. Three-dimensional characterization of microstructure by electron back-scatter diffraction. Annu. Rev. Mater. Res. 37:627-58
54. Rohrer GS. 2011. Grain boundary energy anisotropy: a review. J. Mater. Sci. 46(18):5881-95
55. Fu X, PoulsenHF, Schmidt S,Nielsen SF, Lauridsen EM, Juul Jensen D. 2003. Non-destructivemapping of grains in three dimensions. Scr. Mater. 49(11):1093-96
56. Ludwig W, King A, Herbig M, Reischig P, Marrow J, et al. 2010. Characterization of polycrystalline materials using synchrotron X-ray imaging and diffraction techniques. JOM 62(12):22-28
57. Schmidt S, Nielsen SF, Gundlach C, Margulies L, Huang X, Juul Jensen D. 2004. Watching the growth of bulk grains during recrystallization of deformed metals. Science 305:229-32
58. Wilson SR, Hefferan C, Li SF, Lind JF, Suter RM, et al. 2010. Microstructural characterization andevolution in 3D. Risø Int. Symp. Mater. Sci., 31st, Risø. Sept. 6-10, pp. 201-217. Risø: Risø Natl. Lab. Sustain. Energy, Tech. Univ. Denmark
59. German R. 1985. Liquid Phase Sintering. New York: Plenum
60. Kirkwood D, Suéry M, Kapranos P, Atkinson H, Young K. 2010. Semi-Solid Processing of Alloys. Heidelberg: Springer
61. Kattamis T, Flemings M. 1966. Dendrite structure and grain size of undercooled melts. Trans. Metall. Soc. AIME 236:1523-32
62. KattamisT,Coughlin J, Flemings M. 1967. Influence of coarsening on dendrite arm spacing of aluminumcopper alloys. Trans. Metall. Soc. AIME 239:1504-11
63. Alkemper J, Voorhees P. 2001. Three dimensional characterization of dendritic microstructures. Acta Mater. 49:897-902
64. Mendoza R, Alkemper J, Voorhees P. 2003. The morphological evolution of dendritic microstructures during coarsening. Metall. Mater. Trans. A 34(3):481-89
65. Mendoza R, Savin I, Thornton K, Voorhees P. 2004. Topological complexity and the dynamics of coarsening. Nat. Mater. 3(6):385-88
66. Kammer D, Voorhees P. 2006. The morphological evolution of dendritic microstructures during coarsening. Acta Mater. 54:1549-58
67. Fife J, Voorhees P. 2009. The morphological evolution of equiaxied dendritic microstructures during coarsening. Acta Mater. 57:2418-28
68. Huang S, Glicksman M. 1981. Overview 12: fundamentals of dendritic solidification-II development of sidebranch structure. Acta Metall. 29:717-34
69. Jackson K,Hunt J,Uhlmann D, Seward T. 1966. On the origin of equiaxed zone in castings. Trans. Metall. Soc. AIME 236(2):149
70. Mathiesen R, Arnberg L, Mo F, Weitkamp T, Snigirev A. 1999. Time resolved X-ray imaging of dendritic growth in binary alloys. Phys. Rev. Lett. 83(24):5062-65
71. Thi HN, Gastaldi J, Schenk T, Reinhart G, Mangelinck-NoelN, et al. 2006. In situ and real-time probing of quasicrystal solidification dynamics by synchrotron imaging. Phys. Rev. E 74:031605
72. Ruvalcaba D,Mathiesen RH, Eskin DG, Arnberg L, Katgerman L. 2007. In situ observations of dendritic fragmentation due to local solute-enrichment during directional solidification of an aluminum alloy. Acta Mater. 55(13):4287-92
73. Yasuda H, Yamamoto Y, NakatsukaN,NagiraT, Yoshiya M, et al. 2008. In situ observation of nucleation, fragmentation and microstructure evolution in Sn-Bi and Al-Cu alloys. Int. J. Cast Met. Res. 21(1-4):125-28
74. Aagesen LK, Fife JL,Lauridsen EM,Voorhees PW. 2011. The evolution of interfacial morphology during coarsening: a comparison between 4D experiments and phase-field simulations. Scr. Mater. 64(5):394-97
75. Limodin N, Salvo L, Boller E, Suéry M, Felberbaum M, et al. 2009. In situ and real-time 3-D microtomography investigation of dendritic solidification in an Al-10 wt.% Cu alloy. Acta Mater. 57(7):2300-10
76. Ludwig O, Dimichiel M, Salvo L, Suéry M, Falus P. 2005. In-situ three-dimensional microstructural investigation of solidification of an Al-Cu alloy by ultrafast X-ray microtomography. Metall. Mater. Trans. A 36(6):1515-23
77. Rath B. 1982. The overall kinetics of isothermal transformations. In Solid-Solid Phase Transitions, ed.HI Aaronson,DE Laughlin, RF Sekerka, CMWayman, pp. 1097-1103. Warrendale, PA: Trans. Metall. Soc. AIME
78. Ratke L, Genau A. 2010. Evolution of specific surface area with solid fraction during solidification. Acta Mater. 58:4207-11
79. Limodin N, Salvo L, SuéryM, Delannay F. 2009. Assessment by microtomography of 2D image analysis methods for the measurement of average grain coordination and size in an aggregate. Scr. Mater. 60(5):325-28
80. Lee D-D, Kang S-JL, Yoon DN. 1990. A direct observation of the grain shape accommodation during liquid phase sintering of Mo-Ni alloy. Scr. Metall. Mater. 24(5):927-30
81. Kim S, Yoon D. 1983. Coarsening behavior of Mo grains dispersed in a liquid maxtrix. Acta Mater. 31:1151-53, 1155-57
82. Terzi S, Salvo L, SuéryM, Dahle AK, Boller E. 2010. Coarsening mechanisms in a dendritic Al-10% Cu alloy. Acta Mater. 58(1):20-30
83. Limodin N, Salvo L, Suéry M, Dimichiel M. 2007. In situ investigation by X-ray tomography of the overall and local microstructural changes occurring during partial remelting of an Al-15.8 wt.% Cu alloy. Acta Mater. 55(9):3177-91
84. Aagesen LK, Johnson AE, Fife JL, Voorhees PW, Miksis MJ, et al. 2010. Universality and self-similarity in pinch-off of rods by bulk diffusion. Nat. Phys. 6(10):796-800
85. Aagesen LK, Johnson AE, Fife JL, Voorhees PW, Miksis MJ, et al. 2011. Pinch-off of rods by bulk diffusion. Acta Mater. 59(12):4922-32
86. Karma A. 2001. Phase-field formulation for quantitative modeling of alloy solidification. Phys. Rev. Lett. 87:115701
87. Echebarria B, Folch R, Karma A, Plapp M. 2004. Quantitative phase field model of alloy solidification. Phys. Rev. E 70:061604
88. Terzi S, Salvo L, Suéry M, Limodin N, Adrien J, et al. 2009. In situ X-ray tomography observation of inhomogeneous deformation in semi-solid aluminium alloys. Scr. Mater. 61(5):449-52
89. Farup I, Drezet J, Rappaz M. 2001. In situ observation of hot tearing formation in succinonitrileacetone. Acta Mater. 49(7):1261-69
90. Terzi S, Taylor JA, Cho YH, Salvo L, Suéry M, et al. 2010. In situ study of nucleation and growth of irregular α-Al/-Al5FeSi eutectic by 3-D synchnotron X-ray microtomography. Acta Mater. 58:5370-80
91. Lame O, Bellet D, DiMichielM, Bouvard D. 2004. Bulk observation of metal powder sintering by X-ray synchrotron microtomography. Acta Mater. 52(4):977-84