Phase-field analysis of volume-diffusion controlled shape-instabilities in metallic systems-II: Finite 3-dimensional rods

Amos, P.G. Kubendran; Mushongera, Leslie T.; Mittnacht, Tobias; Nestler, Britta

doi:10.1016/j.commatsci.2017.12.046

Cited by 17 publications

(9 citation statements)

References 41 publications

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“…Furthermore, the material parameters, including the parabolic ing for the volume-preserving energy-densities, are adopted from Refs. [48,50,44].…”

Section: Resultsmentioning

confidence: 99%

“…An uncapped rod, owing to the curvature-di erence between the termination and remnant at surface, transforms into a spheroid [55,56]. e spheroidisation mechanism is fundamentally dictated by the aspect-ratio of the rod, which is the ratio of the length to its width [51,50].…”

Section: Comparing Three-dimensional Spheroidisationmentioning

confidence: 99%

“…Previous experimental observations [55], analytical [51] and numerical investigations [50] have shown that spheroidisation mechanism of uncapped rod of aspect ratio 10 involves 'ovulation ' , wherein a single precipitate splits into two, ultimately, forming two spheroids. As shown in Fig.…”

Section: Comparing Three-dimensional Spheroidisationmentioning

confidence: 99%

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Limitations of preserving volume in Allen-Cahn framework for microstructural analysis

Amos

Schoof

Santoki

et al. 2020

Computational Materials Science

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Preserving volume in the Allen-Cahn framework is appealing as a computationally-e cient alternate for Cahn-Hilliard approach. e limitations of adopting volume-preserved Allen-Cahn treatment to analyse curvature-driven morphological transformations in chemical equilibrium is unraveled in the present work. e outcomes of redistribution-energy technique, which operates in Allen-Cahn framework, and a thermodynamically-consistent generalised quasi-Allen-Cahn (qAC) treatment, involving a conserved variable, is comparatively studied to explicate the limitations of the former. Analysis of representative microstructural evolution, in two-and threedimension, indicates that preserving volume in Allen-Cahn formalism renders an inaccurate transformation mechanism and nal phase-distribution, which signi cantly deviate from the experimental observations and theoretical predictions. Moreover, it is shown that the redistributionenergy technique, in its existing form, fails to recover the thermodynamic condition imposed on the system.

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“…Furthermore, the material parameters, including the parabolic ing for the volume-preserving energy-densities, are adopted from Refs. [48,50,44].…”

Section: Resultsmentioning

confidence: 99%

Section: Comparing Three-dimensional Spheroidisationmentioning

confidence: 99%

See 1 more Smart Citation

Limitations of preserving volume in Allen-Cahn framework for microstructural analysis

Amos

Schoof

Santoki

et al. 2020

Computational Materials Science

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“…For an infinite cylinder of radius R0, subjected to a sinusoidal radial perturbation of the form

, only when the wavelength λ > 2π R 0 , the amplitude of the perturbation can increase spontaneously, and finally leading to the breakup of the cylinder. Recently, the phase field model has been used to study the Rayleigh instabilities in the solid state [ 26 , 27 , 28 , 29 , 30 , 31 ]. Joshi et al [ 26 , 27 ] formulated phase field models for studying the evolution of cylindrical pore in both homogeneous solid and polycrystalline membrane.…”

Section: Introductionmentioning

confidence: 99%

“…Wang and Nestler [ 29 ] proposed a generalized stability criterion for nanowires and conducted phase field simulations to confirm it. Amos et al [ 30 , 31 ] conducted a phase field analysis of shape-instabilities in metallic systems with 2-dimensional plate-like structures and finite 3-dimensional rods.…”

Section: Introductionmentioning

confidence: 99%

Cellular Automata Modeling of Ostwald Ripening and Rayleigh Instability

Han

2018

Materials

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A cellular automata (CA) approach to modeling both Ostwald ripening and Rayleigh instability was developed. Curvature-driven phase interface migration was implemented to CA model, and novel CA rules were introduced to ensure the conservation of phase volume fraction of nearly equilibrium two-phase system. For transient Ostwald ripening, it is shown that the temporal growth exponent m is evolving with time and non-integer temporal exponents between 2 and 3 are predicted. The varying temporal growth exponent m is related to the particle size distributions (PSDs) evolution. With an initial wide PSD, it becomes narrowed toward steady state. With an initial narrow PSD, it becomes widened at first and then narrowed toward steady state. For Rayleigh instability, two cases (one with sinusoidal perturbation on the surface of the long cylinder, and the other with grain boundaries in the interior of the long cylinder) were simulated, and the breakup of the long cylinder was shown for both cases. In the end, a system containing long cylinders with interior grain boundaries was simulated, which demonstrated the integration of Rayleigh instability and Ostwald ripening relating to the spheroidization of the lamellar structure.

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Understanding the Influence of Neighbours on the Spheroidization of Finite 3-Dimensional Rods in a Lamellar Arrangement: Insights from Phase-Field Simulations

Mittnacht

Amos

Schneider

et al. 2018

Proceedings of the 1st International Conference on Numerical Modelling in Engineering

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Phase-field analysis of volume-diffusion controlled shape-instabilities in metallic systems-II: Finite 3-dimensional rods

Cited by 17 publications

References 41 publications

Limitations of preserving volume in Allen-Cahn framework for microstructural analysis

Limitations of preserving volume in Allen-Cahn framework for microstructural analysis

Cellular Automata Modeling of Ostwald Ripening and Rayleigh Instability

Understanding the Influence of Neighbours on the Spheroidization of Finite 3-Dimensional Rods in a Lamellar Arrangement: Insights from Phase-Field Simulations

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