Interface Models in Coupled Thermoelasticity

This work proposes new interface conditions between the layers of a three-dimensional composite structure in the framework of coupled thermoelasticity. More precisely, the mechanical behavior of two linear isotropic thermoelastic solids, bonded together by a thin layer, constituted of a linear isotr...

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Main Authors: Michele Serpilli, Serge Dumont, Raffaella Rizzoni, Frédéric Lebon
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Technologies
Subjects:
Online Access:https://www.mdpi.com/2227-7080/9/1/17
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author Michele Serpilli
Serge Dumont
Raffaella Rizzoni
Frédéric Lebon
author_facet Michele Serpilli
Serge Dumont
Raffaella Rizzoni
Frédéric Lebon
author_sort Michele Serpilli
collection DOAJ
description This work proposes new interface conditions between the layers of a three-dimensional composite structure in the framework of coupled thermoelasticity. More precisely, the mechanical behavior of two linear isotropic thermoelastic solids, bonded together by a thin layer, constituted of a linear isotropic thermoelastic material, is studied by means of an asymptotic analysis. After defining a small parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ε</mi></semantics></math></inline-formula>, which tends to zero, associated with the thickness and constitutive coefficients of the intermediate layer, two different limit models and their associated limit problems, the so-called <i>soft</i> and <i>hard</i> thermoelastic interface models, are characterized. The asymptotic expansion method is reviewed by taking into account the effect of higher-order terms and defining a generalized thermoelastic interface law which comprises the above aforementioned models, as presented previously. A numerical example is presented to show the efficiency of the proposed methodology, based on a finite element approach developed previously.
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spelling doaj.art-b64db93109cb41508e40b5533e1efdf62023-12-03T12:35:18ZengMDPI AGTechnologies2227-70802021-03-01911710.3390/technologies9010017Interface Models in Coupled ThermoelasticityMichele Serpilli0Serge Dumont1Raffaella Rizzoni2Frédéric Lebon3Department of Civil and Building Engineering, and Architecture, Università Politecnica delle Marche, 60121 Ancona, ItalyIMAG CNRS UMR 5149, University of Nîmes, 30000 Nîmes, FranceDepartment of Engineering, University of Ferrara, 44122 Ferrara, ItalyCNRS, Centrale Marseille, Laboratoire de Mécanique et d’Acoustique, Aix-Marseille University, 13453 Marseille, FranceThis work proposes new interface conditions between the layers of a three-dimensional composite structure in the framework of coupled thermoelasticity. More precisely, the mechanical behavior of two linear isotropic thermoelastic solids, bonded together by a thin layer, constituted of a linear isotropic thermoelastic material, is studied by means of an asymptotic analysis. After defining a small parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ε</mi></semantics></math></inline-formula>, which tends to zero, associated with the thickness and constitutive coefficients of the intermediate layer, two different limit models and their associated limit problems, the so-called <i>soft</i> and <i>hard</i> thermoelastic interface models, are characterized. The asymptotic expansion method is reviewed by taking into account the effect of higher-order terms and defining a generalized thermoelastic interface law which comprises the above aforementioned models, as presented previously. A numerical example is presented to show the efficiency of the proposed methodology, based on a finite element approach developed previously.https://www.mdpi.com/2227-7080/9/1/17interfacesasymptotic analysiscoupled thermoelasticity
spellingShingle Michele Serpilli
Serge Dumont
Raffaella Rizzoni
Frédéric Lebon
Interface Models in Coupled Thermoelasticity
Technologies
interfaces
asymptotic analysis
coupled thermoelasticity
title Interface Models in Coupled Thermoelasticity
title_full Interface Models in Coupled Thermoelasticity
title_fullStr Interface Models in Coupled Thermoelasticity
title_full_unstemmed Interface Models in Coupled Thermoelasticity
title_short Interface Models in Coupled Thermoelasticity
title_sort interface models in coupled thermoelasticity
topic interfaces
asymptotic analysis
coupled thermoelasticity
url https://www.mdpi.com/2227-7080/9/1/17
work_keys_str_mv AT micheleserpilli interfacemodelsincoupledthermoelasticity
AT sergedumont interfacemodelsincoupledthermoelasticity
AT raffaellarizzoni interfacemodelsincoupledthermoelasticity
AT fredericlebon interfacemodelsincoupledthermoelasticity