Variational modeling adapted to the medium with gradient properties
This study aims to develop a numerical homogenization method that can be applied to a heterogeneous stratified medium. Traditional scale transition methods are inadequate in capturing the essential gradient properties of some materials. Therefore, the focus of this work is to construct a homogenized...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2024-06-01
|
| Series: | Comptes Rendus. Mécanique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.254/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825205911402053632 |
|---|---|
| author | Nait-Ali, Azdine Ben Elhaj Salah, Sami |
| author_facet | Nait-Ali, Azdine Ben Elhaj Salah, Sami |
| author_sort | Nait-Ali, Azdine |
| collection | DOAJ |
| description | This study aims to develop a numerical homogenization method that can be applied to a heterogeneous stratified medium. Traditional scale transition methods are inadequate in capturing the essential gradient properties of some materials. Therefore, the focus of this work is to construct a homogenized model that considers the material property gradient. To achieve this, a two-step homogenization scheme is proposed. Firstly, the 3D model is decomposed into multiple 2D heterogeneous layers, and the behavior of each layer is estimated using a micro-mechanical model such as the Hashin–Shtrikman bounds. Secondly, a variational sum method is used to rebuild the behavior of the 3D environment. Finally, the method is applied to homogenize a thin plate with a porosity gradient. |
| format | Article |
| id | doaj-art-3001bbc8885e447ab4b58fd07d62d13a |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-3001bbc8885e447ab4b58fd07d62d13a2025-02-07T13:48:46ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342024-06-01352G115916810.5802/crmeca.25410.5802/crmeca.254Variational modeling adapted to the medium with gradient propertiesNait-Ali, Azdine0Ben Elhaj Salah, Sami1Institut Pprime -UPR CNRS 3346 - Département Physique et Mécanique des Matériaux ENSMA - Téléport 2, 1er avenue Clément Ader BP 40109 F86961 Futuroscope Chasseneuil Cedex FranceInstitut Pprime -UPR CNRS 3346 - Département Physique et Mécanique des Matériaux ENSMA - Téléport 2, 1er avenue Clément Ader BP 40109 F86961 Futuroscope Chasseneuil Cedex FranceThis study aims to develop a numerical homogenization method that can be applied to a heterogeneous stratified medium. Traditional scale transition methods are inadequate in capturing the essential gradient properties of some materials. Therefore, the focus of this work is to construct a homogenized model that considers the material property gradient. To achieve this, a two-step homogenization scheme is proposed. Firstly, the 3D model is decomposed into multiple 2D heterogeneous layers, and the behavior of each layer is estimated using a micro-mechanical model such as the Hashin–Shtrikman bounds. Secondly, a variational sum method is used to rebuild the behavior of the 3D environment. Finally, the method is applied to homogenize a thin plate with a porosity gradient.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.254/ |
| spellingShingle | Nait-Ali, Azdine Ben Elhaj Salah, Sami Variational modeling adapted to the medium with gradient properties Comptes Rendus. Mécanique |
| title | Variational modeling adapted to the medium with gradient properties |
| title_full | Variational modeling adapted to the medium with gradient properties |
| title_fullStr | Variational modeling adapted to the medium with gradient properties |
| title_full_unstemmed | Variational modeling adapted to the medium with gradient properties |
| title_short | Variational modeling adapted to the medium with gradient properties |
| title_sort | variational modeling adapted to the medium with gradient properties |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.254/ |
| work_keys_str_mv | AT naitaliazdine variationalmodelingadaptedtothemediumwithgradientproperties AT benelhajsalahsami variationalmodelingadaptedtothemediumwithgradientproperties |