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- W4313399901 abstract "Due to their ability to encompass complex multi-phase problems, multiphase-field and multi-order parameter methods are increasing in popularity. Multiple model formulations and modifications have been published since their original emergence but a comprehensive comparison has not yet been conducted. We establish the triple junction as a well-defined benchmark for the construction of interfacial energy contributions. Metrics such as the overall free energy of the system and the dihedral angle at the junction are derived from analytic considerations and subsequently evaluated in numerical studies. Various multiphase-field and multi-order parameter models are compared quantitatively over a large range of interfacial energy ratios. The analytic derivations for the two benchmark cases form a strong foundation for identification of model-specific errors or a limited application range. The mutual comparison of combinations of various gradient and potential energy terms yields new insights into the sources of spurious phase generation. The systematic combination of terms covers previously published models as well as new combinations. This work provides guidelines for the choice of a suitable, problem-specific model formulation and the development of new models. Furthermore, our goal is to be as comprehensible as possible to ensure high reproducibility and facilitate the start for beginners in the field." @default.
- W4313399901 created "2023-01-06" @default.
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- W4313399901 date "2023-02-01" @default.
- W4313399901 modified "2023-09-26" @default.
- W4313399901 title "Triple junction benchmark for multiphase-field and multi-order parameter models" @default.
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- W4313399901 doi "https://doi.org/10.1016/j.commatsci.2022.111995" @default.
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