Phase Field Modeling of Microstructural Evolution

DeWitt, Stephen; Thornton, Katsuyo

doi:10.1007/978-3-319-68280-8_4

Cited by 8 publications

(11 citation statements)

References 189 publications

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“…Phase-field models are one of the foundational tools of computational materials science and are used to study microstructure evolution during a variety of processes, including solidification, grain growth, and solid-state phase transformations. A detailed review of phase-field models and their applications can be found in refs [1][2][3][4][5][6][7][8] . Phase-field models are almost exclusively solved numerically, yet developing software to perform phase-field simulations can be challenging for two reasons.…”

Section: Introductionmentioning

confidence: 99%

“…Different applications require different numbers of phasefield variables, different forms of the free energy functional, and may require the solution of additional coupled equations (e.g., mechanical equilibrium). Even within a single application, such as grain growth in a polycrystalline metal, multiple approaches with very different governing equations are common 7 .…”

Section: Introductionmentioning

confidence: 99%

“…As a response to these challenges, a standard approach is to develop a different code for each application 7 . A single-purpose code has hard-coded governing equations, which reduces computational overhead and permits numerical approaches tailored for the problem at hand.…”

Section: Introductionmentioning

confidence: 99%

“…An alternative paradigm based on developing and utilizing open-source community frameworks is spreading through the phase-field community 7 . This type of framework contains building blocks for a variety of phase-field models.…”

Section: Introductionmentioning

confidence: 99%

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PRISMS-PF: A general framework for phase-field modeling with a matrix-free finite element method

et al. 2020

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A new phase-field modeling framework with an emphasis on performance, flexibility, and ease of use is presented. Foremost among the strategies employed to fulfill these objectives are the use of a matrix-free finite element method and a modular, application-centric code structure. This approach is implemented in the new open-source PRISMS-PF framework. Its performance is enabled by the combination of a matrix-free variant of the finite element method with adaptive mesh refinement, explicit time integration, and multilevel parallelism. Benchmark testing with a particle growth problem shows PRISMS-PF with adaptive mesh refinement and higher-order elements to be up to 12 times faster than a finite difference code employing a second-order-accurate spatial discretization and first-order-accurate explicit time integration. Furthermore, for a two-dimensional solidification benchmark problem, the performance of PRISMS-PF meets or exceeds that of phase-field frameworks that focus on implicit/semi-implicit time stepping, even though the benchmark problem's small computational size reduces the scalability advantage of explicit timeintegration schemes. PRISMS-PF supports an arbitrary number of coupled governing equations. The code structure simplifies the modification of these governing equations by separating their definition from the implementation of the numerical methods used to solve them. As part of its modular design, the framework includes functionality for nucleation and polycrystalline systems available in any application to further broaden the phenomena that can be used to study. The versatility of this approach is demonstrated with examples from several common types of phase-field simulations, including coarsening subsequent to spinodal decomposition, solidification, precipitation, grain growth, and corrosion.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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PRISMS-PF: A general framework for phase-field modeling with a matrix-free finite element method

et al. 2020

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“…tion of the phase boundaries [27][28][29][30][31]. Consistent phasefield modeling of precipitation bases on a thermodynamic functional, which is an integral over a local phenomenological potential energy density.…”

Section: Introductionmentioning

confidence: 99%

Phase-field modeling of γ/γ″ microstructure formation in Ni-based superalloys with high γ″ volume fraction

et al. 2020

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The excellent mechanical properties of the Ni-based superalloy IN718 mainly result from coherent γ precipitates. Due to a strongly anisotropic lattice misfit between the matrix and the precipitate phase, the particles exhibit pronounced plate-shaped morphologies. Using a phase-field model, we investigate various influencing factors that determine the equilibrium shapes of γ precipitates, minimizing the sum of the total elastic and interfacial energy. Upon increasing precipitate phase fractions, the model predicts increasingly stronger particle-particle interactions, leading to shapes with significantly increased aspect ratios. Matching the a priori unknown interfacial energy density to fit experimental γ shapes is sensitive to the phase content imposed in the underlying model. Considering vanishing phase content leads to 30 % lower estimates of the interfacial energy density, as compared to estimates based on realistic phase fractions of 12 %. We consider the periodic arrangement of precipitates in different hexagonal and rectangular superstructures, which result from distinct choices of point-symmetric and periodic boundary conditions. Further, non-volume conserving boundary conditions are implemented to compensate for strains due to an anisotropic lattice mismatch between the γ matrix and the γ precipitate. As compared to conventional boundary conditions, this specifically tailored simulation configuration does not conflict with the systems periodicity and provides substantially more realistic total elastic energies at high precipitate volume fractions. The energetically most favorable superstructure is found to be a hexagonal precipitate arrangement.c 2020. The manuscript is made available under the license CC-BY-NC-ND 4.0

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Analysis of friction stir welds using numerical modelling approach: a comprehensive review

Sharma¹,

Mehta

Vasudev

et al. 2023

Int J Interact Des Manuf

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Phase Field Modeling of Microstructural Evolution

Cited by 8 publications

References 189 publications

PRISMS-PF: A general framework for phase-field modeling with a matrix-free finite element method

PRISMS-PF: A general framework for phase-field modeling with a matrix-free finite element method

Phase-field modeling of γ/γ″ microstructure formation in Ni-based superalloys with high γ″ volume fraction

Analysis of friction stir welds using numerical modelling approach: a comprehensive review

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