# Thermodynamically consistent multi-phase-field model incorporating passive external domains

https://mdr.nims.go.jp/datasets/e87270f7-0c15-4d3d-96de-3260e0a26d28

## File

- [Thermodynamically consistent multi-phase-field model incorporating passive external domains.pdf](https://mdr.nims.go.jp/filesets/8da09753-86a2-4c42-b333-3bdc42dca2e9/download) ([Detail](https://mdr.nims.go.jp/filesets/8da09753-86a2-4c42-b333-3bdc42dca2e9.md))

## Id

e87270f7-0c15-4d3d-96de-3260e0a26d28

## Local identifier



## Visibility

open_to_public

## State

published

## Created at

2026-04-02T03:15:06.251235Z

## Updated at

2026-04-03T00:38:10.693057Z

## Published at

2026-04-03T03:26:43.824056Z

## Doi

https://doi.org/10.48505/nims.6244

## First published url

https://doi.org/10.1080/27660400.2026.2653418

## Date published

2026-03-31

## Recorded date published



## Resource type

journal_article

## Manuscript type

accepted_manuscript

## Collection



## Title

- title: Thermodynamically consistent multi-phase-field model incorporating passive
    external domains
  title_type: original
  lang: en

## Description

- description: Phase-field (PF) modeling of multiphase and multicomponent material
    processes where material phases and their external domains coexist, such as sintering,
    lacks a thermodynamically consistent formulation. To address this issue, this
    paper introduces a novel multi-phase-field (MPF) model with passive external domain
    (PED), which is defined as an external region that remains inert and does not
    contribute to microstructural evolution in the material system. An additional
    variable associated with concentration fields is incorporated to distinguish between
    the material and PED without thermodynamic inconsistencies. The model is validated
    through 2D single-phase simulations, which highlight its ability to capture surface
    triple junction behavior, consistent with Young’s equation. Its capability is
    further demonstrated through 3D simulations of a three-phase, ternary system coexisting
    with a PED. These simulations correctly predict the evolution of the system toward
    thermodynamic equilibrium, including phase transformations and solute partitioning.
    Overall, the MPF-PED model provides a robust and physically consistent framework,
    overcoming the limitations of conventional models in handling external domain
    to facilitate the realistic simulation of complex material processes.
  description_type: abstract
  lang: und

## Creator

- name: Akimitsu Ishii
  role: author
  orcid: https://orcid.org/0000-0002-9261-4047
- name: Yusuke Matsuoka
  role: author
- name: Toshiyuki Koyama
  role: author
  orcid: https://orcid.org/0000-0001-7424-4858

## Contact agent



## Publisher

organization: Informa UK Limited

## Managing organization



## Keyword

- subject: Phase-field modeling
  schema: not_defined
- subject: Microstructure
  schema: not_defined
- subject: Multicomponent
  schema: not_defined
- subject: CALPHAD
  schema: not_defined

## Rights

- identifier: https://creativecommons.org/licenses/by/4.0/

## Other identifier(s)



## Data origin



## Embargo



## Journal

- title: 'Science and Technology of Advanced Materials: Methods'
  issn: '27660400'
  article_number: '2653418'

## Conference



## Related item



## Funding

- identifier: JP24K17179
  funder_name: Grant-in-Aid for Early-Career Scientists
- identifier: JPMXP1122715503
  funder_name: 'MEXT Program: Data Creation and Utilization-Type Material Research
    and Development Project'

## Instrument



## Instrument operator



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## Measurement method



## Specimen



## Chemical composition



## Structure for specimen



## Structural feature for specimen



## Specific property for specimen



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## Computational method



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## Fileset

- id: 8da09753-86a2-4c42-b333-3bdc42dca2e9
  filename: Thermodynamically consistent multi-phase-field model incorporating passive
    external domains.pdf
  content_type: application/pdf
  size: 4547263
  md5: d5efec832f8dd0adab102d8d10c43e54

## Thumbnail

fileset_id: 8da09753-86a2-4c42-b333-3bdc42dca2e9
filename: Thermodynamically consistent multi-phase-field model incorporating passive
  external domains.pdf