Phase-field study of eutectic colony formation in NiAl-34Cr

Kellner, Michael; Hötzer, Johannes; Schoof, Ephraim; Nestler, Britta

doi:10.1016/j.actamat.2019.10.028

Cited by 26 publications

(15 citation statements)

References 50 publications

(71 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The local phase fractions of the phases are represented by the N order parameters /â, which are stored in the vector /. Similar to the works [20,31,32], the phases a; b; . .…”

Section: Phase-field Modelmentioning

confidence: 99%

Data workflow to incorporate thermodynamic energies from Calphad databases into grand-potential-based phase-field models

et al. 2021

Self Cite

View full text Add to dashboard Cite

In order to approximate Gibbs energy functions, a semi-automated framework is introduced for binary and ternary material systems, using Calphad databases. To generate Gibbs energy formulations by means of second-order polynomials, the framework includes a precise approach. Furthermore, an optional extensional step enables the modeling of systems in which a direct generation leads to the unsatisfactory results in the representation of the thermodynamics. Furthermore, an optional extensional step enables the modeling of systems, in which a direct generation leads to the unsatisfactory results, when representing the thermodynamics. Within this extension, the commonly generated functions are modified to satisfy the equilibrium conditions in the observed material systems, leading to a better correlation with thermodynamic databases. The generated Gibbs energy formulations are verified by recalculating the equilibrium concentrations of the phases and rebuilding the phase diagrams in the considered concentration and temperature ranges, prior to the simulation studies. For all comparisons, a close match is achieved between the results and the Calphad databases. As practical examples of the method, phase-field simulation studies for the directional solidification of the binary – and the ternary – eutectic systems are performed. Good agreements between the simulation results and the reported theoretical and experimental studies from literature are found, which indicates the applicability of the presented approaches. Graphical Abstract

show abstract

“…The local phase fractions of the phases are represented by the N order parameters /â, which are stored in the vector /. Similar to the works [20,31,32], the phases a; b; . .…”

Section: Phase-field Modelmentioning

confidence: 99%

Data workflow to incorporate thermodynamic energies from Calphad databases into grand-potential-based phase-field models

et al. 2021

Self Cite

View full text Add to dashboard Cite

show abstract

“…with an amplitude A and random distribution D which is chosen to be uniform. Simultaneously, correction of the diffusion potentials is included to ensurec being unaffected by the noise [51].…”

Section: B Allen-cahn Approach With Concentration Conservationmentioning

confidence: 99%

Multiphase-field modeling of spinodal decomposition during intercalation in an Allen-Cahn framework

Daubner

Amos

Schoof

et al. 2021

Phys. Rev. Materials

Self Cite

View full text Add to dashboard Cite

Owing to its unique thermodynamical description, phase separation has largely been modeled in the Cahn-Hilliard framework. In the present work, as a computationally efficient alternative, a multicomponent, multiphase-field model operating in Allen-Cahn framework is presented and subsequently employed to simulate spinodal decomposition. Stability analysis shows that the formulation can cover the effect of phase separation while simplifying the extension to multiple phases and incorporation of additional driving forces. Computational efficiency of the proposed approach is compared with the conventional technique by modeling intercalation in a representative one-dimensional domain. Moreover, intercalation within a multigrain system involving multiparticle interaction is studied. Our results suggest initiation of phase transformation at higher order junctions as well as a grain-by-grain intercalation behavior in a two-phase cathode material such as the well-studied LiFePO 4 .

show abstract

“…To validate the resulting microstructures of the subsequently performed simulations for the rotating directional solidification, directional solidification simulations are executed in advance. The utilized setup for the DS simulations, for example, is described in the works [ 13 , 48 ]. In this configuration, the initial filling of the phases consists of the solid phases with the desired

arrangement beneath the

phase.…”

Section: Simulations and Resultsmentioning

confidence: 99%

“…As utilized in the works of [ 13 , 47 , 48 ] for DS simulations, in this formulation

indicates the base temperature,

denotes the temperature gradient, v is the temperature gradient velocity, t represents the simulation time, and x refers to the growth direction, respectively. Hence, a linear temperature increase occurs in the solidification direction, with an overall decrease over time.…”

Section: Methodsmentioning

confidence: 99%

Rotating Directional Solidification of Ternary Eutectic Microstructures in Bi-In-Sn: A Phase-Field Study

2022

Self Cite

View full text Add to dashboard Cite

For the first time, the experimental processing condition of a rotating directional solidification is simulated in this work, by means of a grand-potential-based phase-field model. To simulate the rotating directional solidification, a new simulation setup with a rotating temperature field is introduced. The newly developed configuration can be beneficent for a more precise study of the ongoing adjustment mechanisms during temperature gradient controlled solidification processes. Ad hoc, the solidification of the ternary eutectic system Bi-In-Sn with three distinct solid phases α,β,δ is studied in this paper. For this system, accurate in situ observations of both directional and rotating directional solidification experiments exist, which makes the system favorable for the investigation. The two-dimensional simulation studies are performed for both solidification processes, considering the reported 2D patterns in the steady state growth of the bulk samples. The desired αβαδ phase ordering repeat unit is obtained within both simulation types. By considering anisotropy of the interfacial energies, experimentally reported tilted lamellae with respect to normal vectors of the solidification front, as well as predominant role of αβ anisotropy in tilting phenomenon, are observed. The results are validated by using the Jackson–Hunt analysis and by comparing with the existing experimental data. The convincing agreements indicate the applicability of the introduced method.

show abstract

Phase-field study of eutectic colony formation in NiAl-34Cr

Cited by 26 publications

References 50 publications

Data workflow to incorporate thermodynamic energies from Calphad databases into grand-potential-based phase-field models

Data workflow to incorporate thermodynamic energies from Calphad databases into grand-potential-based phase-field models

Multiphase-field modeling of spinodal decomposition during intercalation in an Allen-Cahn framework

Rotating Directional Solidification of Ternary Eutectic Microstructures in Bi-In-Sn: A Phase-Field Study

Contact Info

Product

Resources

About