Micromechanical Modeling of the Biaxial Deformation-Induced Phase Transformation in Polyethylene Terephthalate

In this paper, a micromechanics-based constitutive representation of the deformation-induced phase transformation in polyethylene terephthalate is proposed and verified under biaxial loading paths. The model, formulated within the Eshelby inclusion theory and the micromechanics framework, considers...

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Main Authors: Fateh Enouar Mamache, Amar Mesbah, Hanbing Bian, Fahmi Zaïri
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Polymers
Subjects:
Online Access:https://www.mdpi.com/2073-4360/14/15/3028
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author Fateh Enouar Mamache
Amar Mesbah
Hanbing Bian
Fahmi Zaïri
author_facet Fateh Enouar Mamache
Amar Mesbah
Hanbing Bian
Fahmi Zaïri
author_sort Fateh Enouar Mamache
collection DOAJ
description In this paper, a micromechanics-based constitutive representation of the deformation-induced phase transformation in polyethylene terephthalate is proposed and verified under biaxial loading paths. The model, formulated within the Eshelby inclusion theory and the micromechanics framework, considers the material system as a two-phase medium, in which the active interactions between the continuous amorphous phase and the discrete newly formed crystalline domains are explicitly considered. The Duvaut–Lions viscoplastic approach is employed in order to introduce the rate-dependency of the yielding behavior. The model parameters are identified from uniaxial data in terms of stress–strain curves and crystallization kinetics at two different strain rates and two different temperatures above glass transition temperature. Then, it is shown that the model predictions are in good agreement with available experimental results under equal biaxial and constant width conditions. The role of the crystallization on the intrinsic properties is emphasized thanks to the model considering the different loading parameters in terms of mechanical path, strain rate and temperature.
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spelling doaj.art-4b0a81f936834b298f7a67466dc48b182023-11-30T22:46:23ZengMDPI AGPolymers2073-43602022-07-011415302810.3390/polym14153028Micromechanical Modeling of the Biaxial Deformation-Induced Phase Transformation in Polyethylene TerephthalateFateh Enouar Mamache0Amar Mesbah1Hanbing Bian2Fahmi Zaïri3Laboratory of Advanced Mechanics, University of Sciences and Technology Houari Boumediene, Algiers 16111, AlgeriaLaboratory of Advanced Mechanics, University of Sciences and Technology Houari Boumediene, Algiers 16111, AlgeriaLaboratoire de Génie Civil et géo-Environnement, Université de Lille, IMT Nord Europe, JUNIA, Université d’Artois, ULR 4515-LGCgE, F-59000 Lille, FranceLaboratoire de Génie Civil et géo-Environnement, Université de Lille, IMT Nord Europe, JUNIA, Université d’Artois, ULR 4515-LGCgE, F-59000 Lille, FranceIn this paper, a micromechanics-based constitutive representation of the deformation-induced phase transformation in polyethylene terephthalate is proposed and verified under biaxial loading paths. The model, formulated within the Eshelby inclusion theory and the micromechanics framework, considers the material system as a two-phase medium, in which the active interactions between the continuous amorphous phase and the discrete newly formed crystalline domains are explicitly considered. The Duvaut–Lions viscoplastic approach is employed in order to introduce the rate-dependency of the yielding behavior. The model parameters are identified from uniaxial data in terms of stress–strain curves and crystallization kinetics at two different strain rates and two different temperatures above glass transition temperature. Then, it is shown that the model predictions are in good agreement with available experimental results under equal biaxial and constant width conditions. The role of the crystallization on the intrinsic properties is emphasized thanks to the model considering the different loading parameters in terms of mechanical path, strain rate and temperature.https://www.mdpi.com/2073-4360/14/15/3028crystallizable PETmicromechanical modelviscoplasticitytemperature effectbiaxial loading
spellingShingle Fateh Enouar Mamache
Amar Mesbah
Hanbing Bian
Fahmi Zaïri
Micromechanical Modeling of the Biaxial Deformation-Induced Phase Transformation in Polyethylene Terephthalate
Polymers
crystallizable PET
micromechanical model
viscoplasticity
temperature effect
biaxial loading
title Micromechanical Modeling of the Biaxial Deformation-Induced Phase Transformation in Polyethylene Terephthalate
title_full Micromechanical Modeling of the Biaxial Deformation-Induced Phase Transformation in Polyethylene Terephthalate
title_fullStr Micromechanical Modeling of the Biaxial Deformation-Induced Phase Transformation in Polyethylene Terephthalate
title_full_unstemmed Micromechanical Modeling of the Biaxial Deformation-Induced Phase Transformation in Polyethylene Terephthalate
title_short Micromechanical Modeling of the Biaxial Deformation-Induced Phase Transformation in Polyethylene Terephthalate
title_sort micromechanical modeling of the biaxial deformation induced phase transformation in polyethylene terephthalate
topic crystallizable PET
micromechanical model
viscoplasticity
temperature effect
biaxial loading
url https://www.mdpi.com/2073-4360/14/15/3028
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AT hanbingbian micromechanicalmodelingofthebiaxialdeformationinducedphasetransformationinpolyethyleneterephthalate
AT fahmizairi micromechanicalmodelingofthebiaxialdeformationinducedphasetransformationinpolyethyleneterephthalate