Cargando…
Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach
In the present work, the general and well-known model reduction technique, PGD (Proper Generalized Decomposition), is used for parametric analysis of thermo-elasticity of FGMs (Functionally Graded Materials). The FGMs have important applications in space technologies, especially when a part undergoe...
Autores principales: | , , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9964412/ https://www.ncbi.nlm.nih.gov/pubmed/36837383 http://dx.doi.org/10.3390/ma16041753 |
_version_ | 1784896498953093120 |
---|---|
author | Kazemzadeh-Parsi, Mohammad-Javad Ammar, Amine Chinesta, Francisco |
author_facet | Kazemzadeh-Parsi, Mohammad-Javad Ammar, Amine Chinesta, Francisco |
author_sort | Kazemzadeh-Parsi, Mohammad-Javad |
collection | PubMed |
description | In the present work, the general and well-known model reduction technique, PGD (Proper Generalized Decomposition), is used for parametric analysis of thermo-elasticity of FGMs (Functionally Graded Materials). The FGMs have important applications in space technologies, especially when a part undergoes an extreme thermal environment. In the present work, material gradation is considered in one, two and three directions, and 3D heat transfer and theory of elasticity equations are solved to have an accurate temperature field and be able to consider all shear deformations. A parametric analysis of FGM materials is especially useful in material design and optimization. In the PGD technique, the field variables are separated to a set of univariate functions, and the high-dimensional governing equations reduce to a set of one-dimensional problems. Due to the curse of dimensionality, solving a high-dimensional parametric problem is considerably more computationally intensive than solving a set of one-dimensional problems. Therefore, the PGD makes it possible to handle high-dimensional problems efficiently. In the present work, some sample examples in 4D and 5D computational spaces are solved, and the results are presented. |
format | Online Article Text |
id | pubmed-9964412 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-99644122023-02-26 Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach Kazemzadeh-Parsi, Mohammad-Javad Ammar, Amine Chinesta, Francisco Materials (Basel) Article In the present work, the general and well-known model reduction technique, PGD (Proper Generalized Decomposition), is used for parametric analysis of thermo-elasticity of FGMs (Functionally Graded Materials). The FGMs have important applications in space technologies, especially when a part undergoes an extreme thermal environment. In the present work, material gradation is considered in one, two and three directions, and 3D heat transfer and theory of elasticity equations are solved to have an accurate temperature field and be able to consider all shear deformations. A parametric analysis of FGM materials is especially useful in material design and optimization. In the PGD technique, the field variables are separated to a set of univariate functions, and the high-dimensional governing equations reduce to a set of one-dimensional problems. Due to the curse of dimensionality, solving a high-dimensional parametric problem is considerably more computationally intensive than solving a set of one-dimensional problems. Therefore, the PGD makes it possible to handle high-dimensional problems efficiently. In the present work, some sample examples in 4D and 5D computational spaces are solved, and the results are presented. MDPI 2023-02-20 /pmc/articles/PMC9964412/ /pubmed/36837383 http://dx.doi.org/10.3390/ma16041753 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Kazemzadeh-Parsi, Mohammad-Javad Ammar, Amine Chinesta, Francisco Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach |
title | Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach |
title_full | Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach |
title_fullStr | Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach |
title_full_unstemmed | Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach |
title_short | Parametric Analysis of Thick FGM Plates Based on 3D Thermo-Elasticity Theory: A Proper Generalized Decomposition Approach |
title_sort | parametric analysis of thick fgm plates based on 3d thermo-elasticity theory: a proper generalized decomposition approach |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9964412/ https://www.ncbi.nlm.nih.gov/pubmed/36837383 http://dx.doi.org/10.3390/ma16041753 |
work_keys_str_mv | AT kazemzadehparsimohammadjavad parametricanalysisofthickfgmplatesbasedon3dthermoelasticitytheoryapropergeneralizeddecompositionapproach AT ammaramine parametricanalysisofthickfgmplatesbasedon3dthermoelasticitytheoryapropergeneralizeddecompositionapproach AT chinestafrancisco parametricanalysisofthickfgmplatesbasedon3dthermoelasticitytheoryapropergeneralizeddecompositionapproach |