Evolution of interfacial curvatures of a bicontinuous structure generated via nonconserved dynamics

Park, C.-L.; Voorhees, Peter W.; Thornton, Katsuyo

doi:10.1016/j.actamat.2015.02.037

Cited by 13 publications

(12 citation statements)

References 51 publications

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“…In our previous effort, we examined the morphological evolution of a bicontinuous structure undergoing coarsening via nonconserved dynamics [32]. We observed that, while the majority of interfaces undergo flattening, some regions of interfaces become more highly curved as they approach pinching (a topological singularity).…”

Section: Introductionmentioning

confidence: 99%

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Coarsening of complex microstructures following spinodal decomposition

et al. 2017

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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.

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Section: Introductionmentioning

confidence: 99%

“…of static interfacial properties, namely the local curvatures, H and K , and the nonlocal interfacial property, D S H [32]. In conserved dynamics, even though v is not proportional to the mean curvature, the statistical analysis in Sec.…”

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confidence: 99%

Coarsening of complex microstructures following spinodal decomposition

et al. 2017

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“…In recent years, numerical modeling has become an important research method to study microstructural evolution during various phase transformation processes. Phase-field (PF) models have been applied to simulate dendrite arm coarsening [31][32][33] and fragmentation [34]. Cool and Voorhees [33] took a three-dimensional dendritic structure of Pb-Sn alloy measured from experiments as an initial condition in a phase-field simulation to investigate the coarsening dynamics.…”

Section: Introductionmentioning

confidence: 99%

Modeling of dendrite arm fragmentation and dendrite arm coarsening⋆

et al. 2020

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A two-dimensional quantitative cellular automaton (CA) model is employed to simulate dendrite arm fragmentation and dendrite arm coarsening in mushy zones. The phenomenon of dendrite arm fragmentation of an Al-Cu alloy during heating is well represented by the CA simulation, and it is analyzed in detail by comparing the local actual concentration and local equilibrium concentration. The CA simulations for the dendritic microstructures of SCN-ACE alloys during isothermal holding in a mushy zone reproduce the typical dendrite coarsening features as observed in experiments. The effects of holding temperature and alloy composition on the microstructures and dendrite coarsening kinetics are investigated. It is found that the melting of small dendrite arms and interdendritic groove advancement are the two main mechanisms in dendrite coarsening. The mechanism of coalescence by joining arm tips is more likely to take place at a lower temperature or for a lower alloy composition, while the dendrite arm fragmentation mechanism tends to occur at a higher temperature. The coarsening rate constant is found to decrease with increasing holding temperature and alloy composition.

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“…Phase-field (PF) simulations have been performed to investigate dendrite coarsening 24 – 28 and dendrite fragmentation 29 . In those simulations, the evolution of dendrite morphology during holding in mushy zones was appropriately reproduced.…”

Section: Introductionmentioning

confidence: 99%

Interaction of local solidification and remelting during dendrite coarsening - modeling and comparison with experiments

Fang

Xue

Pan

et al. 2017

Sci Rep

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The microstructural evolution of dendrite coarsening during isothermal holding is simulated using a quantitative cellular automaton (CA) model involving the mechanisms of both solidification and melting. The present model encompasses the essential aspects of thermodynamics and kinetics, particularly the evolution/influence of composition, temperature, and curvature, leading to valid simulations of simultaneous solidification and melting. Model validation is performed through a comparison of the CA simulations with analytical predictions for a liquid pool migrating in the mushy zone of a SCN–0.3 wt.% ACE alloy due to temperature gradient zone melting. The model is applied to simulate the microstructural evolution of columnar dendrites of a SCN–2.0 wt.% ACE alloy during isothermal holding in a mushy zone. The simulation results are compared with those of a previous CA model that does not include the melting mechanism under otherwise identical conditions. The role of melting for dendrite coarsening is quantified, showing how the melting influences the coarsening process. The present model effectively reproduces the typical dendrite coarsening features as observed in experiments reported in the literature. The simulations reveal how local solidification and melting stimulate each other through the complicated interactions between phase transformation, interface shape variation, and solute diffusion.

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Evolution of interfacial curvatures of a bicontinuous structure generated via nonconserved dynamics

Cited by 13 publications

References 51 publications

Coarsening of complex microstructures following spinodal decomposition

Coarsening of complex microstructures following spinodal decomposition

Modeling of dendrite arm fragmentation and dendrite arm coarsening⋆

Interaction of local solidification and remelting during dendrite coarsening - modeling and comparison with experiments

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