Proper Generalized Decomposition for Parametric Study and Material Distribution Design of Multi-Directional Functionally Graded Plates Based on 3D Elasticity Solution

The use of mesh-based numerical methods for a 3D elasticity solution of thick plates involves high computational costs. This particularly limits parametric studies and material distribution design problems because they need a large number of independent simulations to evaluate the effects of materia...

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Autores principales:	Mohammad-Javad Kazemzadeh-Parsi, Francisco Chinesta, Amine Ammar
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	proper generalized decomposition separated representation functionally graded material material distribution design plate bending Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
Acceso en línea:	https://doaj.org/article/307f8a6f7dce4abe97b242ceae2f5a8a
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spelling	oai:doaj.org-article:307f8a6f7dce4abe97b242ceae2f5a8a2021-11-11T18:10:35ZProper Generalized Decomposition for Parametric Study and Material Distribution Design of Multi-Directional Functionally Graded Plates Based on 3D Elasticity Solution10.3390/ma142166601996-1944https://doaj.org/article/307f8a6f7dce4abe97b242ceae2f5a8a2021-11-01T00:00:00Zhttps://www.mdpi.com/1996-1944/14/21/6660https://doaj.org/toc/1996-1944The use of mesh-based numerical methods for a 3D elasticity solution of thick plates involves high computational costs. This particularly limits parametric studies and material distribution design problems because they need a large number of independent simulations to evaluate the effects of material distribution and optimization. In this context, in the current work, the Proper Generalized Decomposition (PGD) technique is adopted to overcome this difficulty and solve the 3D elasticity problems in a high-dimensional parametric space. PGD is an a priori model order reduction technique that reduces the solution of 3D partial differential equations into a set of 1D ordinary differential equations, which can be solved easily. Moreover, PGD makes it possible to perform parametric solutions in a unified and efficient manner. In the present work, some examples of a parametric elasticity solution and material distribution design of multi-directional FGM composite thick plates are presented after some validation case studies to show the applicability of PGD in such problems.Mohammad-Javad Kazemzadeh-ParsiFrancisco ChinestaAmine AmmarMDPI AGarticleproper generalized decompositionseparated representationfunctionally graded materialmaterial distribution designplate bendingTechnologyTElectrical engineering. Electronics. Nuclear engineeringTK1-9971Engineering (General). Civil engineering (General)TA1-2040MicroscopyQH201-278.5Descriptive and experimental mechanicsQC120-168.85ENMaterials, Vol 14, Iss 6660, p 6660 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	proper generalized decomposition separated representation functionally graded material material distribution design plate bending Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
spellingShingle	proper generalized decomposition separated representation functionally graded material material distribution design plate bending Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85 Mohammad-Javad Kazemzadeh-Parsi Francisco Chinesta Amine Ammar Proper Generalized Decomposition for Parametric Study and Material Distribution Design of Multi-Directional Functionally Graded Plates Based on 3D Elasticity Solution
description	The use of mesh-based numerical methods for a 3D elasticity solution of thick plates involves high computational costs. This particularly limits parametric studies and material distribution design problems because they need a large number of independent simulations to evaluate the effects of material distribution and optimization. In this context, in the current work, the Proper Generalized Decomposition (PGD) technique is adopted to overcome this difficulty and solve the 3D elasticity problems in a high-dimensional parametric space. PGD is an a priori model order reduction technique that reduces the solution of 3D partial differential equations into a set of 1D ordinary differential equations, which can be solved easily. Moreover, PGD makes it possible to perform parametric solutions in a unified and efficient manner. In the present work, some examples of a parametric elasticity solution and material distribution design of multi-directional FGM composite thick plates are presented after some validation case studies to show the applicability of PGD in such problems.
format	article
author	Mohammad-Javad Kazemzadeh-Parsi Francisco Chinesta Amine Ammar
author_facet	Mohammad-Javad Kazemzadeh-Parsi Francisco Chinesta Amine Ammar
author_sort	Mohammad-Javad Kazemzadeh-Parsi
title	Proper Generalized Decomposition for Parametric Study and Material Distribution Design of Multi-Directional Functionally Graded Plates Based on 3D Elasticity Solution
title_short	Proper Generalized Decomposition for Parametric Study and Material Distribution Design of Multi-Directional Functionally Graded Plates Based on 3D Elasticity Solution
title_full	Proper Generalized Decomposition for Parametric Study and Material Distribution Design of Multi-Directional Functionally Graded Plates Based on 3D Elasticity Solution
title_fullStr	Proper Generalized Decomposition for Parametric Study and Material Distribution Design of Multi-Directional Functionally Graded Plates Based on 3D Elasticity Solution
title_full_unstemmed	Proper Generalized Decomposition for Parametric Study and Material Distribution Design of Multi-Directional Functionally Graded Plates Based on 3D Elasticity Solution
title_sort	proper generalized decomposition for parametric study and material distribution design of multi-directional functionally graded plates based on 3d elasticity solution
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/307f8a6f7dce4abe97b242ceae2f5a8a
work_keys_str_mv	AT mohammadjavadkazemzadehparsi propergeneralizeddecompositionforparametricstudyandmaterialdistributiondesignofmultidirectionalfunctionallygradedplatesbasedon3delasticitysolution AT franciscochinesta propergeneralizeddecompositionforparametricstudyandmaterialdistributiondesignofmultidirectionalfunctionallygradedplatesbasedon3delasticitysolution AT amineammar propergeneralizeddecompositionforparametricstudyandmaterialdistributiondesignofmultidirectionalfunctionallygradedplatesbasedon3delasticitysolution
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Proper Generalized Decomposition for Parametric Study and Material Distribution Design of Multi-Directional Functionally Graded Plates Based on 3D Elasticity Solution

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