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Coupled diffusion and phase transition: Phase fields, constraints, and the Cahn–Hilliard equation
https://oist.repo.nii.ac.jp/records/2120
https://oist.repo.nii.ac.jp/records/2120caec7f4d-2de1-4b79-bf68-5d1655f2adb2
名前 / ファイル | ライセンス | アクション |
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Duda-2021-Coupled diffusion and phase transiti (1.1 MB)
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Creative Commons Attribution 4.0 International(https://creativecommons.org/licenses/by/4.0/)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2021-05-24 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Coupled diffusion and phase transition: Phase fields, constraints, and the Cahn–Hilliard equation | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Microforce balance | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Free-energy imbalance | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Allen–Cahn theory | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Regularization | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Phase separation | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Duda, Fernando P.
× Duda, Fernando P.× Sarmiento, Adel F.× Fried, Eliot |
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書誌情報 |
en : Meccanica 発行日 2021-05-03 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | We develop a constrained theory for constituent migration in bodies with microstructure described by a scalar phase field. The distinguishing features of the theory stem from a systematic treatment and characterization of the reactions needed to maintain the internal constraint given by the coincidence of the mass fraction and the phase field. We also develop boundary conditions for situations in which the interface between the body and its environment is structureless and cannot support constituent transport. In addition to yielding a new derivation of the Cahn–Hilliard equation, the theory affords an interpretation of that equation as a limiting variant of an Allen–Cahn type diffusion system arising from the unconstrained theory obtained by considering the mass fraction and the phase field as independent quantities. We corroborate that interpretation with three-dimensional numerical simulations of a recently proposed benchmark problem. | |||||
出版者 | ||||||
出版者 | Springer Nature | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0025-6455 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1572-9648 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1007/s11012-021-01338-y | |||||
権利 | ||||||
権利情報 | © 2021 The Author(s). | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://link.springer.com/article/10.1007/s11012-021-01338-y | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |