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...

Descripción completa

Detalles Bibliográficos
Autores principales: Kazemzadeh-Parsi, Mohammad-Javad, Ammar, Amine, Chinesta, Francisco
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