Efficient Representative Volume Element of a Matrix–Precipitate Microstructure—Application on AlSi10Mg Alloy
In finite element models (FEMs), two- or three-dimensional Representative Volume Elements (RVEs) based on a statistical distribution of particles in a matrix can predict mechanical material properties. This article studies an alternative to 3D RVEs with a 2.5D RVE approach defined by a one-plane lay...
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2024-11-01
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| author | Chantal Bouffioux Luc Papeleux Mathieu Calvat Hoang-Son Tran Fan Chen Jean-Philippe Ponthot Laurent Duchêne Anne Marie Habraken |
| author_facet | Chantal Bouffioux Luc Papeleux Mathieu Calvat Hoang-Son Tran Fan Chen Jean-Philippe Ponthot Laurent Duchêne Anne Marie Habraken |
| author_sort | Chantal Bouffioux |
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| description | In finite element models (FEMs), two- or three-dimensional Representative Volume Elements (RVEs) based on a statistical distribution of particles in a matrix can predict mechanical material properties. This article studies an alternative to 3D RVEs with a 2.5D RVE approach defined by a one-plane layer of 3D elements to model the material behavior. This 2.5D RVE relies on springs applied in the out-of-plane direction to constrain the two lateral deformations to be compatible, with the goal of achieving the isotropy of the studied material. The method is experimentally validated by the prediction of the tensile stress–strain curve of a bi-phasic microstructure of the AlSi10Mg alloy. Produced by additive manufacturing, the sample material becomes isotropic after friction stir processing post treatment. If a classical plane strain 2D RVE simulation is clearly too stiff compared to the experiment, the predictions of the stress–strain curves based on 2.5D RVE, 2D RVE with no transversal constraint (called 2D free RVE), and 3D RVE simulations are close to the experiments. The local stress fields within a 2.5D RVE present an interesting similarity with 3D RVE local fields, but differences with the 2D free RVE local results. Since a 2.5D RVE simplifies one spatial dimension, the simulations with this model are faster than the 3D RVE (factor 2580 in CPU or taking into account an optimal parallel computation, a factor 417 in real time). Such a discrepancy can affect the FEM<sup>2</sup> multi-scale simulations or the time required to train a neural network, enhancing the interest in a 2.5D RVE model. |
| format | Article |
| id | doaj-art-8eac98cffe124706b03d8c01982c4d5f |
| institution | DOAJ |
| issn | 2075-4701 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
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| series | Metals |
| spelling | doaj-art-8eac98cffe124706b03d8c01982c4d5f2025-08-20T02:48:01ZengMDPI AGMetals2075-47012024-11-011411124410.3390/met14111244Efficient Representative Volume Element of a Matrix–Precipitate Microstructure—Application on AlSi10Mg AlloyChantal Bouffioux0Luc Papeleux1Mathieu Calvat2Hoang-Son Tran3Fan Chen4Jean-Philippe Ponthot5Laurent Duchêne6Anne Marie Habraken7Materials and Solid Mechanics, University of Liège, Allée de la Découverte 9 B52/3, B-4000 Liege, BelgiumAerospace and Mechanical Engineering, University of Liège, Allée de la Découverte 13 A B52/3, B-4000 Liege, BelgiumMaterials Science and Engineering, University of Illinois, 201 Science and Engineering Building, 1304 W. Green St. MC 246, Urbana-Champaign, IL 61801, USAMaterials and Solid Mechanics, University of Liège, Allée de la Découverte 9 B52/3, B-4000 Liege, BelgiumMaterials and Solid Mechanics, University of Liège, Allée de la Découverte 9 B52/3, B-4000 Liege, BelgiumAerospace and Mechanical Engineering, University of Liège, Allée de la Découverte 13 A B52/3, B-4000 Liege, BelgiumMaterials and Solid Mechanics, University of Liège, Allée de la Découverte 9 B52/3, B-4000 Liege, BelgiumMaterials and Solid Mechanics, University of Liège, Allée de la Découverte 9 B52/3, B-4000 Liege, BelgiumIn finite element models (FEMs), two- or three-dimensional Representative Volume Elements (RVEs) based on a statistical distribution of particles in a matrix can predict mechanical material properties. This article studies an alternative to 3D RVEs with a 2.5D RVE approach defined by a one-plane layer of 3D elements to model the material behavior. This 2.5D RVE relies on springs applied in the out-of-plane direction to constrain the two lateral deformations to be compatible, with the goal of achieving the isotropy of the studied material. The method is experimentally validated by the prediction of the tensile stress–strain curve of a bi-phasic microstructure of the AlSi10Mg alloy. Produced by additive manufacturing, the sample material becomes isotropic after friction stir processing post treatment. If a classical plane strain 2D RVE simulation is clearly too stiff compared to the experiment, the predictions of the stress–strain curves based on 2.5D RVE, 2D RVE with no transversal constraint (called 2D free RVE), and 3D RVE simulations are close to the experiments. The local stress fields within a 2.5D RVE present an interesting similarity with 3D RVE local fields, but differences with the 2D free RVE local results. Since a 2.5D RVE simplifies one spatial dimension, the simulations with this model are faster than the 3D RVE (factor 2580 in CPU or taking into account an optimal parallel computation, a factor 417 in real time). Such a discrepancy can affect the FEM<sup>2</sup> multi-scale simulations or the time required to train a neural network, enhancing the interest in a 2.5D RVE model.https://www.mdpi.com/2075-4701/14/11/1244Representative Volume Element2.5D numerical modelAlSi10Mgadditive manufacturingmicrostructurehardening behavior |
| spellingShingle | Chantal Bouffioux Luc Papeleux Mathieu Calvat Hoang-Son Tran Fan Chen Jean-Philippe Ponthot Laurent Duchêne Anne Marie Habraken Efficient Representative Volume Element of a Matrix–Precipitate Microstructure—Application on AlSi10Mg Alloy Metals Representative Volume Element 2.5D numerical model AlSi10Mg additive manufacturing microstructure hardening behavior |
| title | Efficient Representative Volume Element of a Matrix–Precipitate Microstructure—Application on AlSi10Mg Alloy |
| title_full | Efficient Representative Volume Element of a Matrix–Precipitate Microstructure—Application on AlSi10Mg Alloy |
| title_fullStr | Efficient Representative Volume Element of a Matrix–Precipitate Microstructure—Application on AlSi10Mg Alloy |
| title_full_unstemmed | Efficient Representative Volume Element of a Matrix–Precipitate Microstructure—Application on AlSi10Mg Alloy |
| title_short | Efficient Representative Volume Element of a Matrix–Precipitate Microstructure—Application on AlSi10Mg Alloy |
| title_sort | efficient representative volume element of a matrix precipitate microstructure application on alsi10mg alloy |
| topic | Representative Volume Element 2.5D numerical model AlSi10Mg additive manufacturing microstructure hardening behavior |
| url | https://www.mdpi.com/2075-4701/14/11/1244 |
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