Coarsening of complex microstructures following spinodal decomposition
Abstract
Coarsening plays a pivotal role in materials engineering, but our understanding of the dynamics of coarsening in morphologically complex systems is still limited. In this paper, we examine the correlations between the interfacial velocity and interfacial morphologies, and then predict the evolution of mean curvature based on the correlations. Three simulated structures with varying volume fractions, two bicontinuous and one nonbicontinuous, are generated using the Cahn-Hilliard equation. We find general correlations between interfacial velocity and mean curvature, as well as between interfacial velocity and the surface Laplacian of the mean curvature. Furthermore, we find that the probability of finding a patch of interface with a given normal velocity and the same local principal curvatures is described well by a Gaussian distribution, independent of the principal curvature values and the volume fractions of the structures. We also find that average interfacial velocity is described by a polynomial of the mean curvature and the net curvature. Based on this finding, we develop a semi-analytical approach to predicting the rate of change of the mean curvature, which determines the morphological evolution of complex microstructures.
- Authors:
-
[2];
[1]
- Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Materials Science and Engineering
- Northwestern Univ., Evanston, IL (United States). Dept. of Materials Science and Engineering
- Publication Date:
- Research Org.:
- Northwestern Univ., Evanston, IL (United States); Univ. of Michigan, Ann Arbor, MI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1533470
- Alternate Identifier(s):
- OSTI ID: 1550565
- Grant/Contract Number:
- FG02-99ER45782; SC0015394
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Acta Materialia
- Additional Journal Information:
- Journal Volume: 132; Journal ID: ISSN 1359-6454
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; coarsening; spinodal decomposition; interfacial velocity; curvature evolution; phase-field model
Citation Formats
Park, C. -L., Gibbs, J. W., Voorhees, P. W., and Thornton, K. Coarsening of complex microstructures following spinodal decomposition. United States: N. p., 2017.
Web. doi:10.1016/j.actamat.2017.03.020.
Park, C. -L., Gibbs, J. W., Voorhees, P. W., & Thornton, K. Coarsening of complex microstructures following spinodal decomposition. United States. https://doi.org/10.1016/j.actamat.2017.03.020
Park, C. -L., Gibbs, J. W., Voorhees, P. W., and Thornton, K. Thu .
"Coarsening of complex microstructures following spinodal decomposition". United States. https://doi.org/10.1016/j.actamat.2017.03.020. https://www.osti.gov/servlets/purl/1533470.
@article{osti_1533470,
title = {Coarsening of complex microstructures following spinodal decomposition},
author = {Park, C. -L. and Gibbs, J. W. and Voorhees, P. W. and Thornton, K.},
abstractNote = {Coarsening plays a pivotal role in materials engineering, but our understanding of the dynamics of coarsening in morphologically complex systems is still limited. In this paper, we examine the correlations between the interfacial velocity and interfacial morphologies, and then predict the evolution of mean curvature based on the correlations. Three simulated structures with varying volume fractions, two bicontinuous and one nonbicontinuous, are generated using the Cahn-Hilliard equation. We find general correlations between interfacial velocity and mean curvature, as well as between interfacial velocity and the surface Laplacian of the mean curvature. Furthermore, we find that the probability of finding a patch of interface with a given normal velocity and the same local principal curvatures is described well by a Gaussian distribution, independent of the principal curvature values and the volume fractions of the structures. We also find that average interfacial velocity is described by a polynomial of the mean curvature and the net curvature. Based on this finding, we develop a semi-analytical approach to predicting the rate of change of the mean curvature, which determines the morphological evolution of complex microstructures.},
doi = {10.1016/j.actamat.2017.03.020},
journal = {Acta Materialia},
number = ,
volume = 132,
place = {United States},
year = {Thu Mar 16 00:00:00 EDT 2017},
month = {Thu Mar 16 00:00:00 EDT 2017}
}
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Works referencing / citing this record:
Microstructural patterns with tunable mechanical anisotropy obtained by simulating anisotropic spinodal decomposition
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