Data-Driven Modeling for Multiphysics Parametrized Problems-Application to Induction Hardening Process

Data-driven modeling provides an efficient approach to compute approximate solutions for complex multiphysics parametrized problems such as induction hardening (IH) process. Basically, some physical quantities of interest (QoI) related to the IH process will be evaluated under real-time constraint,...

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Main Authors: Khouloud Derouiche, Sevan Garois, Victor Champaney, Monzer Daoud, Khalil Traidi, Francisco Chinesta
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Metals
Subjects:
Online Access:https://www.mdpi.com/2075-4701/11/5/738
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author Khouloud Derouiche
Sevan Garois
Victor Champaney
Monzer Daoud
Khalil Traidi
Francisco Chinesta
author_facet Khouloud Derouiche
Sevan Garois
Victor Champaney
Monzer Daoud
Khalil Traidi
Francisco Chinesta
author_sort Khouloud Derouiche
collection DOAJ
description Data-driven modeling provides an efficient approach to compute approximate solutions for complex multiphysics parametrized problems such as induction hardening (IH) process. Basically, some physical quantities of interest (QoI) related to the IH process will be evaluated under real-time constraint, without any explicit knowledge of the physical behavior of the system. Hence, computationally expensive finite element models will be replaced by a parametric solution, called metamodel. Two data-driven models for temporal evolution of temperature and austenite phase transformation, during induction heating, were first developed by using the proper orthogonal decomposition based reduced-order model followed by a nonlinear regression method for temperature field and a classification combined with regression for austenite evolution. Then, data-driven and hybrid models were created to predict hardness, after quenching. It is shown that the results of artificial intelligence models are promising and provide good approximations in the low-data limit case.
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spelling doaj.art-a67f47ba49c540e4867052324a810ae92023-11-21T17:51:50ZengMDPI AGMetals2075-47012021-04-0111573810.3390/met11050738Data-Driven Modeling for Multiphysics Parametrized Problems-Application to Induction Hardening ProcessKhouloud Derouiche0Sevan Garois1Victor Champaney2Monzer Daoud3Khalil Traidi4Francisco Chinesta5PIMM Lab, Arts et Metiers Institute of Technologie, 151 Boulevard de l’Hôpital, 75013 Paris, FrancePIMM Lab, Arts et Metiers Institute of Technologie, 151 Boulevard de l’Hôpital, 75013 Paris, FrancePIMM Lab, Arts et Metiers Institute of Technologie, 151 Boulevard de l’Hôpital, 75013 Paris, FranceFrench Technological Research Institute for Materials, Metallurgy and Processes (IRT- M2P), 4 rue Augustin Fresnel, 57070 Metz, FranceSafran Tech, Rue des Jeunes Bois, 78117 Châteaufort, FrancePIMM Lab, Arts et Metiers Institute of Technologie, 151 Boulevard de l’Hôpital, 75013 Paris, FranceData-driven modeling provides an efficient approach to compute approximate solutions for complex multiphysics parametrized problems such as induction hardening (IH) process. Basically, some physical quantities of interest (QoI) related to the IH process will be evaluated under real-time constraint, without any explicit knowledge of the physical behavior of the system. Hence, computationally expensive finite element models will be replaced by a parametric solution, called metamodel. Two data-driven models for temporal evolution of temperature and austenite phase transformation, during induction heating, were first developed by using the proper orthogonal decomposition based reduced-order model followed by a nonlinear regression method for temperature field and a classification combined with regression for austenite evolution. Then, data-driven and hybrid models were created to predict hardness, after quenching. It is shown that the results of artificial intelligence models are promising and provide good approximations in the low-data limit case.https://www.mdpi.com/2075-4701/11/5/738data-driven modelinginduction hardeningmetamodelproper orthogonal decompositionartificial intelligencehybrid model
spellingShingle Khouloud Derouiche
Sevan Garois
Victor Champaney
Monzer Daoud
Khalil Traidi
Francisco Chinesta
Data-Driven Modeling for Multiphysics Parametrized Problems-Application to Induction Hardening Process
Metals
data-driven modeling
induction hardening
metamodel
proper orthogonal decomposition
artificial intelligence
hybrid model
title Data-Driven Modeling for Multiphysics Parametrized Problems-Application to Induction Hardening Process
title_full Data-Driven Modeling for Multiphysics Parametrized Problems-Application to Induction Hardening Process
title_fullStr Data-Driven Modeling for Multiphysics Parametrized Problems-Application to Induction Hardening Process
title_full_unstemmed Data-Driven Modeling for Multiphysics Parametrized Problems-Application to Induction Hardening Process
title_short Data-Driven Modeling for Multiphysics Parametrized Problems-Application to Induction Hardening Process
title_sort data driven modeling for multiphysics parametrized problems application to induction hardening process
topic data-driven modeling
induction hardening
metamodel
proper orthogonal decomposition
artificial intelligence
hybrid model
url https://www.mdpi.com/2075-4701/11/5/738
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