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18. J.A. Sethian, A fast marching level set method for monotonically advancing fronts. Proc. Natl.
Acad. Sci. 93(4), 1591–1595 (1996)
19. D.K. Patel, H.F. Al-Harbi, S.R. Kalidindi, Extracting single-crystal elastic constants from
polycrystalline samples using spherical nanoindentation and orientation measurements. Acta
Mater. 79, 108–116 (2014)
20. M. Oda, S. Nemat-Nasser, M.M. Mehrabadi, A statistical study of fabric in a random assembly
of spherical granules. Int. J. Numer. Anal. Methods Geomech. 6(1), 77–94 (1982)
21. M.N. Rossol et al., Characterizing in-plane geometrical variability in textile ceramic composites. J. Am. Ceram. Soc. 98(1), 205–213 (2015)
22. S. Sherman, J. Simmons, C. Przybyla, Mesoscale characterization of continuous fiber reinforced composites through machine learning: Fiber chirality. Acta Mater. 181, 447–459 (2019).
https://doi.org/10.1016/j.actamat.2019.10.001
23. H. Bale et al., Characterizing three-dimensional textile ceramic composites using synchrotron
X-ray micro-computed-tomography. J. Am. Ceram. Soc. 95(1), 392–402 (2012)
24. D.K. Patel, T. Parthasarathy, C. Przybyla, Predicting the effects of microstructure on matrix
crack initiation in fiber reinforced ceramic matrix composites via machine learning. Compos.
Struct. 236 (2020). https://doi.org/10.1016/j.compstruct.2019.111702
25. Y.C. Yabansu, D.K. Patel, S.R. Kalidindi, Calibrated localization relationships for elastic
response of polycrystalline aggregates. Acta Mater. 81, 151–160 (2014)
26. D.K. Patel, S.R. Kalidindi, Estimating the slip resistance from spherical nanoindentation and
orientation measurements in polycrystalline samples of cubic metals. Int. J. Plast. 92, 19–30
(2017)
D. Patel et al.
17. S. Wolfram, Statistical mechanics of cellular automata. Rev. Mod. Phys. 55(3), 601 (1983)
18. J.A. Sethian, A fast marching level set method for monotonically advancing fronts. Proc. Natl.
Acad. Sci. 93(4), 1591–1595 (1996)
19. D.K. Patel, H.F. Al-Harbi, S.R. Kalidindi, Extracting single-crystal elastic constants from
polycrystalline samples using spherical nanoindentation and orientation measurements. Acta
Mater. 79, 108–116 (2014)
20. M. Oda, S. Nemat-Nasser, M.M. Mehrabadi, A statistical study of fabric in a random assembly
of spherical granules. Int. J. Numer. Anal. Methods Geomech. 6(1), 77–94 (1982)
21. M.N. Rossol et al., Characterizing in-plane geometrical variability in textile ceramic composites. J. Am. Ceram. Soc. 98(1), 205–213 (2015)
22. S. Sherman, J. Simmons, C. Przybyla, Mesoscale characterization of continuous fiber reinforced composites through machine learning: Fiber chirality. Acta Mater. 181, 447–459 (2019).
https://doi.org/10.1016/j.actamat.2019.10.001
23. H. Bale et al., Characterizing three-dimensional textile ceramic composites using synchrotron
X-ray micro-computed-tomography. J. Am. Ceram. Soc. 95(1), 392–402 (2012)
24. D.K. Patel, T. Parthasarathy, C. Przybyla, Predicting the effects of microstructure on matrix
crack initiation in fiber reinforced ceramic matrix composites via machine learning. Compos.
Struct. 236 (2020). https://doi.org/10.1016/j.compstruct.2019.111702
25. Y.C. Yabansu, D.K. Patel, S.R. Kalidindi, Calibrated localization relationships for elastic
response of polycrystalline aggregates. Acta Mater. 81, 151–160 (2014)
26. D.K. Patel, S.R. Kalidindi, Estimating the slip resistance from spherical nanoindentation and
orientation measurements in polycrystalline samples of cubic metals. Int. J. Plast. 92, 19–30
(2017)