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

Mittnacht, Tobias; Amos, P.G. Kubendran; Schneider, Daniel; Nestler, Britta

doi:10.1007/978-981-13-2273-0_23

Cited by 6 publications

(5 citation statements)

References 15 publications

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“…Moreover, it has been shown through asymptotic analysis that the phase-eld model recovers sharp-interface solutions, despite the di use interface [24,25]. e phase-eld technique has been adopted to numerically investigate both solidi cation and solid-state transformations [26,27], including eutectoid decomposition [28,29], and curvature-driven evolutions [30,31,32,33,34]. However, except for the previous work of the present authors, not much has been reported on the non steady-state transformation using this technique.…”

Section: Introductionmentioning

confidence: 99%

The non-steady-state growth of divergent pearlite in Fe–C–Mn steels: a phase-field investigation

et al. 2020

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e eutectoid decomposition of austenite is generally analysed as a steady-state transformation. Although such a time-invariant framework is appropriate for binary systems, in ternary Fe-C-Mn alloys, particularly in the three-phase regime, a characteristic non-stationary equilibrium condition results in the formation of a unique microstructure, called 'divergent pearlite' .In the present work, the isothermal growth of the divergent pearlite, under di erent transformation temperatures; 605°C, 625°C and 650°C, is investigated by adopting a phase-eld approach which establishes local-equilibrium (LE) condition across the interface. ough most theoretical approaches intend to setup such condition, the current numerical technique elegantly recovers the non-stationary partitioning equilibrium (P-LE). e thermodynamical framework, which dictates this unique equilibrium condition, is introduced by incorporating the CALPHAD-based data. In addition to rendering the microstructure which is consistent with the observed divergentpearlite, the factors governing the characteristic kinetics and phase distributions are analysed. In complete agreement with the existing studies, it is recognised that the non steady-state growth is induced by a proportional decrease in the matrix carbon-content, which reduces the transformation kinetics, by in uencing the Mn partitioning driving-force. e characteristic proportionality which exists between these governing factors is unraveled in the current investigation. Moreover, it is also identi ed that the transition from the non steady-state evolution in three-phase regime to predominantly steady state in two-phase regime, is continuous. In other words, at 1 higher undercooling, a resolvable segment of time-invariant growth is observed in the initial stages, which is subsequently followed by the divergent evolution.

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Section: Introductionmentioning

confidence: 99%

The non-steady-state growth of divergent pearlite in Fe–C–Mn steels: a phase-field investigation

et al. 2020

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“…While the additional variable, which is generally conserved, aides in preserving the phase-fraction, the ability of the system to reduce the interfacial energy actuates the curvature-driven transformation. Similar approach has already been adopted in previous works by employing concentration to establish the volume-preserving equilibrium [46,47]. However, it is conceivable that such physical attributions o en limits the applicability of the treatment.…”

Section: Generalised Quasi-allen-cahn Approachmentioning

confidence: 90%

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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“…Numerous techniques have been postulated to model microstructural changes [16,17,18]. Of these di erent techniques, phase-eld approach is increasingly involved in modelling complex microstructural changes in both two-and three-dimensions [19,20,21].…”

Section: Phase-eld Modellingmentioning

confidence: 99%

Multiphase-field modelling of concurrent grain growth and coarsening in complex multicomponent systems

Amos

Perumal

Selzer

et al. 2020

Journal of Materials Science & Technology

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Phase-eld modelling of microstructural evolution in polycrystalline systems with phaseassociated grains has largely been con ned to continuum-eld models. In this study, a multiphaseeld approach, with a provision for introducing grain boundary and interphase di usion, is extended to analyse concurrent grain growth and coarsening in multicomponent polycrystalline microstructures with chemically-distinct grains.e e ect of the number of phases and components on the kinetics of evolution is investigated by considering binary and ternary systems of duplex and triplex microstructures, along with a single phase system. It is realised that the mere increase in the number of phases minimises the rate of concurrent grain growth and coarsening. However, the e ect of components is substantially dependent on the respective kinetic coe cients. is work unravels that the disparity in the in uence of phases and components is primarily due to the corresponding change introduced in the transformation mechanism. While the raise in number of phases convolutes the di usion paths, the increase in number of component e ects the rate of evolution through the interdi usion, which introduces interdependency in the di using chemical-species. Additionally, the role of phase-fractions on the transformation rate of triplex microstructure is studied, and correspondingly, the interplay of interfaceand di usion-governed evolution is elucidated. A representative evolution of three-dimensional triplex microstructure with equal phase-fraction is comparatively analysed with the evolution of corresponding two-dimensional setup.

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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

Cited by 6 publications

References 15 publications

The non-steady-state growth of divergent pearlite in Fe–C–Mn steels: a phase-field investigation

The non-steady-state growth of divergent pearlite in Fe–C–Mn steels: a phase-field investigation

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

Multiphase-field modelling of concurrent grain growth and coarsening in complex multicomponent systems

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