Modelling diffusive phase transformations in multiphase systems using the Voronoi implicit interface method Article Swipe
Erik Jacobsson
,
Håkan Hallberg
,
Johan Hektor
,
Matti Ristinmaa
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1088/1361-651x/ada818
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1088/1361-651x/ada818
This paper presents a general level set framework for modelling diffusive solid-state phase transformation processes in binary systems comprising several grains and phases. Notably, it is demonstrated how the Voronoi implicit interface method (VIIM) can be used to simulate microstructure evolution in polycrystals driven by diffusion. The key advantage of VIIM is that a single level set function can be utilized to describe the evolution of the microstructure. Thus, the computational cost is significantly reduced compared to more traditional approaches, in which each grain in the microstructure is assigned a separate level set function. Moreover, VIIM facilitates the reconstruction of a fully compatible grain boundary network without the presence of any void regions or grain overlaps. The reconstruction procedure does not require any special handling of junctions and can be easily extended to higher dimensions. Moreover, the reconstruction step enables an adaptive remeshing technique to be employed such that the mesh nodes conform with the location of the grain boundaries. Hence, the diffusion problem can be solved in distinct phase domains, demarcated by sharp interfaces. The kinetics of the phase interfaces are described by the amount of flux towards the interface in accordance with the theory of diffusion-controlled phase transformations. To examine the capabilities of the proposed model, both single-phase and multiphase problems are examined. For the single-phase problem, it is shown that the model behaves in accordance with analytical solutions and maintains mass conservation. For the multiphase problems, two model cases of polycrystals that share the same initial geometry but exhibit different phase distributions are investigated, as well as a representative microstructure example. The evolution of the microstructures towards an equilibrium state is in agreement with the expected phase fractions and demonstrates that the model produces reliable results. The error in mass conservation of the considered multiphase examples is within a margin of ±5%.
Related Topics
Concepts
Voronoi diagram
Level set method
Materials science
Microstructure
Phase (matter)
Grain boundary
Void (composites)
Level set (data structures)
Diffusion
Transformation (genetics)
Statistical physics
Conservation of mass
Function (biology)
Mechanics
Mathematical optimization
Computer science
Geometry
Thermodynamics
Mathematics
Physics
Artificial intelligence
Metallurgy
Composite material
Segmentation
Image segmentation
Quantum mechanics
Gene
Biochemistry
Chemistry
Evolutionary biology
Biology
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1088/1361-651x/ada818
- OA Status
- hybrid
- References
- 24
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4406206603
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W4406206603Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1088/1361-651x/ada818Digital Object Identifier
- Title
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Modelling diffusive phase transformations in multiphase systems using the Voronoi implicit interface methodWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2025Year of publication
- Publication date
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2025-01-09Full publication date if available
- Authors
-
Erik Jacobsson, Håkan Hallberg, Johan Hektor, Matti RistinmaaList of authors in order
- Landing page
-
https://doi.org/10.1088/1361-651x/ada818Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
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https://doi.org/10.1088/1361-651x/ada818Direct OA link when available
- Concepts
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Voronoi diagram, Level set method, Materials science, Microstructure, Phase (matter), Grain boundary, Void (composites), Level set (data structures), Diffusion, Transformation (genetics), Statistical physics, Conservation of mass, Function (biology), Mechanics, Mathematical optimization, Computer science, Geometry, Thermodynamics, Mathematics, Physics, Artificial intelligence, Metallurgy, Composite material, Segmentation, Image segmentation, Quantum mechanics, Gene, Biochemistry, Chemistry, Evolutionary biology, BiologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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