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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Format: | Article |
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MDPI AG
2020-11-01
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Series: | Polymers |
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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. |
first_indexed | 2024-03-10T15:07:55Z |
format | Article |
id | doaj.art-5470483589c04fe88605cdfe76a96415 |
institution | Directory Open Access Journal |
issn | 2073-4360 |
language | English |
last_indexed | 2024-03-10T15:07:55Z |
publishDate | 2020-11-01 |
publisher | MDPI AG |
record_format | Article |
series | Polymers |
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 |