On the High-Resolution Discretization of the Maxwell Equations in a Composite Tape and the Heating Effects Induced by the Dielectric Losses
Electromagnetic field propagation inside composite materials represents a challenge where fiber-scale simulation remains intractable using classical simulation methods. The present work proposes an original 3D simulation with a mesh resolution fine enough to resolve the fiber scale, thanks to the us...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Computation |
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| Online Access: | https://www.mdpi.com/2079-3197/10/2/24 |
| _version_ | 1827655976951480320 |
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| author | Chady Ghnatios Anais Barasinski Francisco Chinesta |
| author_facet | Chady Ghnatios Anais Barasinski Francisco Chinesta |
| author_sort | Chady Ghnatios |
| collection | DOAJ |
| description | Electromagnetic field propagation inside composite materials represents a challenge where fiber-scale simulation remains intractable using classical simulation methods. The present work proposes an original 3D simulation with a mesh resolution fine enough to resolve the fiber scale, thanks to the use of Proper Generalized Decomposition (PGD)-based space decomposition, which avoids the necessity of considering homogenized properties and considers the richest description of the involved physics from the solution of the Maxwell equations. This high-resolution simulation enables comparing the electromagnetic field propagation in a composite part, depending on the considered frequency and the fiber’s/wave polarization’s relative orientation. The electromagnetic fields are then post-processed to identify the heat generation terms and- the resulting induced thermal field. The results prove the ability of the PGD-based discretization to attain extremely high levels of resolution, the equivalent of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>10</mn></msup></semantics></math></inline-formula> finite-element degrees of freedom. The obtained results show an enhanced wave penetration when the electric field polarization coincides with the fiber orientation. On the contrary, when the electric field is polarized along the normal to the fiber orientation, both the penetration and the associated heating reduce significantly, compromising the use of homogenized models, rendering them unable to reproduce the observed behaviors. |
| first_indexed | 2024-03-09T22:16:07Z |
| format | Article |
| id | doaj.art-47a27ce610b24a618479f4b691108197 |
| institution | Directory Open Access Journal |
| issn | 2079-3197 |
| language | English |
| last_indexed | 2024-03-09T22:16:07Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Computation |
| spelling | doaj.art-47a27ce610b24a618479f4b6911081972023-11-23T19:22:28ZengMDPI AGComputation2079-31972022-01-011022410.3390/computation10020024On the High-Resolution Discretization of the Maxwell Equations in a Composite Tape and the Heating Effects Induced by the Dielectric LossesChady Ghnatios0Anais Barasinski1Francisco Chinesta2Mechanical Engineering Department, Notre Dame University-Louaize, Zouk Mikael, Zouk Mosbeh 72, LebanonUniversite de Pau et des Pays de l’Adour, E2S UPPA, CNRS, IPREM, 64000 Pau, FranceESI GROUP Chair & PIMM Laboratory, ENSAM Institute of Technology, 151 Boulevard de Hopital, 75013 Paris, FranceElectromagnetic field propagation inside composite materials represents a challenge where fiber-scale simulation remains intractable using classical simulation methods. The present work proposes an original 3D simulation with a mesh resolution fine enough to resolve the fiber scale, thanks to the use of Proper Generalized Decomposition (PGD)-based space decomposition, which avoids the necessity of considering homogenized properties and considers the richest description of the involved physics from the solution of the Maxwell equations. This high-resolution simulation enables comparing the electromagnetic field propagation in a composite part, depending on the considered frequency and the fiber’s/wave polarization’s relative orientation. The electromagnetic fields are then post-processed to identify the heat generation terms and- the resulting induced thermal field. The results prove the ability of the PGD-based discretization to attain extremely high levels of resolution, the equivalent of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>10</mn></msup></semantics></math></inline-formula> finite-element degrees of freedom. The obtained results show an enhanced wave penetration when the electric field polarization coincides with the fiber orientation. On the contrary, when the electric field is polarized along the normal to the fiber orientation, both the penetration and the associated heating reduce significantly, compromising the use of homogenized models, rendering them unable to reproduce the observed behaviors.https://www.mdpi.com/2079-3197/10/2/24Maxwell equationscomposite materialsmicrowave heatingProper Generalized Decompositionseparated representation |
| spellingShingle | Chady Ghnatios Anais Barasinski Francisco Chinesta On the High-Resolution Discretization of the Maxwell Equations in a Composite Tape and the Heating Effects Induced by the Dielectric Losses Computation Maxwell equations composite materials microwave heating Proper Generalized Decomposition separated representation |
| title | On the High-Resolution Discretization of the Maxwell Equations in a Composite Tape and the Heating Effects Induced by the Dielectric Losses |
| title_full | On the High-Resolution Discretization of the Maxwell Equations in a Composite Tape and the Heating Effects Induced by the Dielectric Losses |
| title_fullStr | On the High-Resolution Discretization of the Maxwell Equations in a Composite Tape and the Heating Effects Induced by the Dielectric Losses |
| title_full_unstemmed | On the High-Resolution Discretization of the Maxwell Equations in a Composite Tape and the Heating Effects Induced by the Dielectric Losses |
| title_short | On the High-Resolution Discretization of the Maxwell Equations in a Composite Tape and the Heating Effects Induced by the Dielectric Losses |
| title_sort | on the high resolution discretization of the maxwell equations in a composite tape and the heating effects induced by the dielectric losses |
| topic | Maxwell equations composite materials microwave heating Proper Generalized Decomposition separated representation |
| url | https://www.mdpi.com/2079-3197/10/2/24 |
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