Abstract
An exhaustive branching technique is introduced for reconstructing discrete microstructures from two-point statistic occurrences. It is shown that two-point statistics control microstructure, to the extent that exact replicas of discrete microstructures are produced when sufficient two-point statistic occurrences are matched. Efficiency comparisons between simulated-annealing methods and the exhaustive branching method are made on polycrystalline structures and some discussion on advancing the exhaustive branching method is given.
Similar content being viewed by others
References
Randle, V. and Engler, O., Introduction to Texture Analysis: macrotexture, microtexture and orientation mapping, Gordon and Breach Science Publishers, Amsteldijk, The Netherlands, 2000.
Adams, B.L., Morris, P.R., Wang, T.T., Willden, K.S., and Wright, S.I., Acta Metall., 35 (1987) 2935.
Beran, M.J., Statistical Continuum Theories, John Wiley and Sons, Interscience, New York, NY, 1968.
Beran, M.J., Mason, T.A., Adams, B.L., and Olsen, T., J. Mech. Phys. Solids, 44 (1996) 1543.
Mason, T.A. and Adams, B.L., Metall. Mat. Trans. A, 30 (1999) 969.
Adams, B.L., Henrie, A., Henrie, B., Lyon, M., Kaladindi, S.R. and Garmestani, H., J. Mech. Phys. Solids, 49 (2001) 1639.
Ganapathysubramanian S. and Zabaras, N. A Reduced-order Model of Polycrystal Plasticity for the Control of Microstructure-sensitive Material Properties. Submitted to Journal of the Mechanics and Physics of Solids 2005.
Miodownik, M., Godfrey, A.W., Holm, E.A. and Hughes, D.A., Acta Materialia, 47 (1999) 2661.
Yeong, C.L.Y. and Torquato, S., Phys. Rev. E, 51 (1998) 495.
Torquato S., Random Heterogeneous Materials, Springer, New York, 2002.
Biswal, B., Manwart, C., Hilfer, R., Bakke, S. and Oren, P.E., Physica A, 273 (1999) 452.
Lyon, M., Master’s Thesis. Brigham Young University, 2003.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hansen, B.L., Adams, B.L., Lyon, M.E. et al. On the reconstruction of polycrystalline microstructures from two-point correlation statistics. J Computer-Aided Mater Des 10, 163–173 (2004). https://doi.org/10.1007/s10820-005-0884-3
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10820-005-0884-3