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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MDPI AG
2022-07-01
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Series: | Polymers |
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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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issn | 2073-4360 |
language | English |
last_indexed | 2024-03-09T12:15:43Z |
publishDate | 2022-07-01 |
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series | Polymers |
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 |
work_keys_str_mv | AT fatehenouarmamache micromechanicalmodelingofthebiaxialdeformationinducedphasetransformationinpolyethyleneterephthalate AT amarmesbah micromechanicalmodelingofthebiaxialdeformationinducedphasetransformationinpolyethyleneterephthalate AT hanbingbian micromechanicalmodelingofthebiaxialdeformationinducedphasetransformationinpolyethyleneterephthalate AT fahmizairi micromechanicalmodelingofthebiaxialdeformationinducedphasetransformationinpolyethyleneterephthalate |