Citation: Jiao Yang. Three-Dimensional Heterogeneous Material Microstructure Reconstruction from Limited Morphological Information via Stochastic Optimization[J]. AIMS Materials Science, 2014, 1(1): 28-40. doi: 10.3934/matersci.2014.1.28
[1] | Christensen RM (1979) Mechanics of Composite Materials.New York: Wiley . |
[2] | Nemat-Nasser S, Hori M (1999) Micromechanics: Overall Properties of Heterogeneous Solids.Elsevier Science . |
[3] | Torquato S (2002) Random Heterogeneous Materials: Microstructure and Macroscopic Properties.New York: Springer . |
[4] | Sahimi M (2003) Heterogeneous Materials I: Linear Transport and Optical Properties, and II: Nonlinear and Breakdown Properties and Atomistic Modeling.New York: Springer . |
[5] | Millar DIA (2012) Energetic Materials at Extreme Conditions.Springer Ph.D. Thesis . |
[6] | Haymes RC (1971) Introduction to Space Science.New York: John Wiley and Sons Inc . |
[7] | Thornton K, Poulsen HF (2008) Three-dimensional materials science: An intersection of three-dimensional reconstructions and simulations.MRS Bull 33: 587. |
[8] | Brandon D, Kaplan WD (1999) Microstructural Characterization of Materials.New York: John Wiley and Sons . |
[9] | Baruchel J, Bleuet P, Bravin A, et al. (2008) Advances in synchrotron hard x-ray based imaging.C R Physique 9: 624. |
[10] | Kinney JH, Nichols MC (1992) X-ray tomographic microscopy (XTM) using synchrotron radiation.Annu Rev Mater Sci 22: 121. |
[11] | Kak A, Slaney M (1988) Principles of Computerized Tomographic Imaging.IEEE Press . |
[12] | Babout L, Maire E, Buffière JY (2001) Characterisationby X-ray computed tomography of decohesion, porosity growth and coalescence in model metal matrix composites.Acta Mater 49: 2055. |
[13] | Borbély A, Csikor FF, Zabler S, et al. (2004) Three-dimensional characterization of the microstructure of a metal-matrix composite by holotomography.Mater Sci Engng A 367: 40. |
[14] | Kenesei P, Biermann H, Borbély A (2005) Structure-property relationship in particle reinforced metal-matrix composites based on holotomography.Scr Mater 53: 787. |
[15] | Weck A, Wilkinson DS, Maire E (2008) Visualization by x-ray tomography of void growth and coalescence leading to fracture in model materials.Acta Mater 56: 2919. |
[16] | Toda H, Yamamoto S, Kobayashi M (2008) Direct measurement procedure for three-dimensional local crack driving force using synchrotron X-ray microtomography.Acta Mater 56: 6027. |
[17] | Williams JJ, Flom Z, Amell AA (2010) Damage evolution in SiC particle reinforced Al alloy matrix composites by X-ray synchrotron tomography.Acta Mater 58: 6194. |
[18] | Williams JJ, Yazzie KE, Phillips NC (2011) On the correlation between fatigue striation spacing and crack crowth rate: A three-dimensional (3-D) X-ray synchrotron tomography study.Metal Mater Trans 42: 3845. |
[19] | Williams JJ, Yazzie KE, Phillips NC, et al.Understanding fatigue crack growth in aluminum alloys by in situ x-ray synchrotron tomography.Int J Fatigue in press . |
[20] | Groeber M, Ghosh S, Uchic MD (2008) A framework for automated analysis and simulation of 3D polycrystalline microstructures. I: Statistical characterization.Acta Mater 56: 1257. |
[21] | Groeber M, Ghosh S, Uchic MD (2008) A framework for automated analysis and simulation of 3D polycrystalline microstructures. II: Synthetic structure generation.Acta Mater 56: 1274. |
[22] | Niezgoda SR, Fullwood DT, Kalidindi SR (2008) Delineation of the space of 2-point correlations in a composite material system.Acta Mater 56: 5286-5292. |
[23] | Debye P, Anderson HR, Brumberger H (1957) Scattering by an inhomogeneous solid. II. The correlation function and its applications.J. Appl Phys 28: 679-683. |
[24] | Yeong CLY, Torquato S (1998) Reconstructing random media.Phys Rev E 57: 495. |
[25] | Yeong CLY, Torquato S (1998) Reconstructing random media: II. Three-dimensional reconstruction from two-dimensional cuts.Phys Rev E 58: 224. |
[26] | Jiao Y, Stillinger FH, Torquato S (2007) Modeling heterogeneous materials via two-point correlation functions: Basic principles.Phys Rev E 76: 031110. |
[27] | Jiao Y, Stillinger FH, Torquato S (2008) Modeling heterogeneous materials via two-point correlation functions: II. Algorithmic details and applications.Phys Rev E 77: 031135. |
[28] | Jiao Y, Stillinger FH, Torquato S (2008) A superior descriptor of random textures and its predictive capacity.Proc Natl Acad Sci USA 106: 17634. |
[29] | Roberts AP (1997) Statistical reconstruction of three-dimensional porous media from twodimensional images.Phys Rev E 56: 3203-3212. |
[30] | Fullwood DT, Niezgoda SR, Kalidindi SR (2008) Microstructure reconstructions from 2-point statistics using phase-recovery algorithms.Acta Mater 56: 942-948. |
[31] | Alireza H, Aliakbar S, Farhad A. (2011) Farhadpour A multiple-point statistics algorithm for 3D pore space reconstruction from 2D images.Advances in Water Resources 34: 1256-1267. |
[32] | Tahmasebi P, Sahimi M (2013) Cross-correlation function for accurate reconstruction of heterogeneous media.Phys Rev Lett 110: 078002. |
[33] | Torquato S (1986) Interfacial surface statistics arising in diffusion and flow problems in porous media.J Chem Phys 85: 4622. |
[34] | Lu B, Torquato S (1992) Lineal path function for random heterogeneous materials.Phys Rev A 45: 922. |
[35] | Torquato S, Avellaneda M (1991) Diffusion and reaction in heterogeneous media: Pore-size distribution, relaxation rimes, and mean survival time.J Chem Phys 95: 6477. |
[36] | Prager S (1963) Interphase transfer in stationary two-phase media.Chem Eng Sci 18: 228. |
[37] | Torquato S, Beasley JD, Chiew YC (1988) Two-point cluster function for continuum percolation.J Chem Phys 88: 6540. |
[38] | Singh SS, Williams JJ, Jiao Y, et al. (2012) Modeling anisotropic multiphase heterogeneous materials via directional correlation functions: Simulations and experimental verification.Metall Mater Trans 43 A: 4470-4474. |
[39] | Jiao Y, Pallia E, Chawla N (2013) Modeling and predicting microstructure evolution in lead/tin alloy via correlation functions and stochastic material reconstruction.Acta Mater 61: 3370. |
[40] | Liu Y, Greene MS, Chen W, et al. (2013) Computational microstructure characterization and reconstruction for stochastic multiscale material design.Computer-Aided Design 45: 65. |
[41] | Mikdam A, Belouettar R, Fiorelli D, et al. (2013) A tool for design of heterogeneous materials with desired physical properties using statistical continuum theory.Mater Sci Eng A 564: 493. |
[42] | Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing.Science 220: 671-680. |
[43] | Sheehan N, Torquato S (2001) Generating Microstructures with Specified Correlation Functions.J Appl Phys 89: 53. |
[44] | Rozman MG, Utz M (2002) Uniqueness of reconstruction of multiphase morphologies from two-point correlation functions.Physl Rev Lett 89: 135501. |
[45] | Manko HH (2001) Solders and Soldering: Materials, Design, Production, and Analysis for Reliable Bonding.New York: McGraw-Hill . |
[46] | Gommes CJ (2013) Three-dimensional reconstruction of liquid phases in disordered mesopores using in situ small-angle scattering.J Appl Cryst 46: 493-504. |
[47] | Zhang H, Srolovitz DJ, Douglas JF (2009) Grain boundaries exhibit the dynamics of glass-forming liquids.Proc Natl Acad Sci USA 106: 7729-7734. |
[48] | Chen Z, Chu KT, Srolovitz DJ (2010) Dislocation climb strengthening in systems with immobile obstacles: Three-dimensional level-set simulation study.Phys Rev B 81: 054104. |