Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization

The present contribution deals with the thermomechanical modeling of the strain-induced crystallization in unfilled polymers. This phenomenon significantly influences mechanical and thermal properties of polymers and has to be taken into consideration when planning manufacturing processes as well as...

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Main Authors: Serhat Aygün, Sandra Klinge
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Polymers
Subjects:
Online Access:https://www.mdpi.com/2073-4360/12/11/2575
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author Serhat Aygün
Sandra Klinge
author_facet Serhat Aygün
Sandra Klinge
author_sort Serhat Aygün
collection DOAJ
description The present contribution deals with the thermomechanical modeling of the strain-induced crystallization in unfilled polymers. This phenomenon significantly influences mechanical and thermal properties of polymers and has to be taken into consideration when planning manufacturing processes as well as applications of the final product. In order to simultaneously capture both kinds of effects, the model proposed starts by introducing a triple decomposition of the deformation gradient and furthermore uses thermodynamic framework for material modeling based on the Coleman–Noll procedure and minimum principle of the dissipation potential, which requires suitable assumptions for the Helmholtz free energy and the dissipation potential. The chosen setup yields evolution equations which are able to simulate the formation and the degradation of crystalline regions accompanied by the temperature change during a cyclic tensile test. The boundary value problem corresponding to the described process includes the balance of linear momentum and balance of energy and serves as a basis for the numerical implementation within an FEM code. The paper closes with the numerical examples showing the microstructure evolution and temperature distribution for different material samples.
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spelling doaj.art-5470483589c04fe88605cdfe76a964152023-11-20T19:33:32ZengMDPI AGPolymers2073-43602020-11-011211257510.3390/polym12112575Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced CrystallizationSerhat Aygün0Sandra Klinge1Institute of Mechanics, TU Dortmund University, Leonhard-Euler-Strasse 5, 44227 Dortmund, GermanyInstitute of Mechanics, TU Dortmund University, Leonhard-Euler-Strasse 5, 44227 Dortmund, GermanyThe present contribution deals with the thermomechanical modeling of the strain-induced crystallization in unfilled polymers. This phenomenon significantly influences mechanical and thermal properties of polymers and has to be taken into consideration when planning manufacturing processes as well as applications of the final product. In order to simultaneously capture both kinds of effects, the model proposed starts by introducing a triple decomposition of the deformation gradient and furthermore uses thermodynamic framework for material modeling based on the Coleman–Noll procedure and minimum principle of the dissipation potential, which requires suitable assumptions for the Helmholtz free energy and the dissipation potential. The chosen setup yields evolution equations which are able to simulate the formation and the degradation of crystalline regions accompanied by the temperature change during a cyclic tensile test. The boundary value problem corresponding to the described process includes the balance of linear momentum and balance of energy and serves as a basis for the numerical implementation within an FEM code. The paper closes with the numerical examples showing the microstructure evolution and temperature distribution for different material samples.https://www.mdpi.com/2073-4360/12/11/2575thermomechanical modelingmicrostructureenergydissipationstrain-induced crystallizationpolymers
spellingShingle Serhat Aygün
Sandra Klinge
Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization
Polymers
thermomechanical modeling
microstructure
energy
dissipation
strain-induced crystallization
polymers
title Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization
title_full Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization
title_fullStr Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization
title_full_unstemmed Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization
title_short Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization
title_sort thermomechanical modeling of microstructure evolution caused by strain induced crystallization
topic thermomechanical modeling
microstructure
energy
dissipation
strain-induced crystallization
polymers
url https://www.mdpi.com/2073-4360/12/11/2575
work_keys_str_mv AT serhataygun thermomechanicalmodelingofmicrostructureevolutioncausedbystraininducedcrystallization
AT sandraklinge thermomechanicalmodelingofmicrostructureevolutioncausedbystraininducedcrystallization