Modelling the Stiffness-Temperature Dependence of Resin-Rubber Blends Cured by High-Energy Electron Beam Radiation Using Global Search Genetic Algorithm
Modelling the influence of high-energy ionising radiation on the properties of materials with polymeric matrix using advanced artificial intelligence tools plays an important role in the research and development of new materials for various industrial applications. It also applies to effective modif...
Main Authors: | , , , , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2020-11-01
|
Series: | Polymers |
Subjects: | |
Online Access: | https://www.mdpi.com/2073-4360/12/11/2652 |
_version_ | 1797548246904602624 |
---|---|
author | Ivan Kopal Juliána Vršková Alžbeta Bakošová Marta Harničárová Ivan Labaj Darina Ondrušová Jan Valíček Jan Krmela |
author_facet | Ivan Kopal Juliána Vršková Alžbeta Bakošová Marta Harničárová Ivan Labaj Darina Ondrušová Jan Valíček Jan Krmela |
author_sort | Ivan Kopal |
collection | DOAJ |
description | Modelling the influence of high-energy ionising radiation on the properties of materials with polymeric matrix using advanced artificial intelligence tools plays an important role in the research and development of new materials for various industrial applications. It also applies to effective modification of existing materials based on polymer matrices to achieve the desired properties. In the presented work, the effects of high-energy electron beam radiation with various doses on the dynamic mechanical properties of melamine resin, phenol-formaldehyde resin, and nitrile rubber blend have been studied over a wide temperature range. A new stiffness-temperature model based on Weibull statistics of the secondary bonds breaking during the relaxation transitions has been developed to quantitatively describe changes in the storage modulus with temperature and applied radiation dose until the onset of the temperature of the additional, thermally-induced polymerisation reactions. A global search real-coded genetic algorithm has been successfully applied to optimise the parameters of the developed model by minimising the sum-squared error. An excellent agreement between the modelled and experimental data has been found. |
first_indexed | 2024-03-10T14:56:37Z |
format | Article |
id | doaj.art-1ce9efd3686b47578210797ec513a634 |
institution | Directory Open Access Journal |
issn | 2073-4360 |
language | English |
last_indexed | 2024-03-10T14:56:37Z |
publishDate | 2020-11-01 |
publisher | MDPI AG |
record_format | Article |
series | Polymers |
spelling | doaj.art-1ce9efd3686b47578210797ec513a6342023-11-20T20:31:35ZengMDPI AGPolymers2073-43602020-11-011211265210.3390/polym12112652Modelling the Stiffness-Temperature Dependence of Resin-Rubber Blends Cured by High-Energy Electron Beam Radiation Using Global Search Genetic AlgorithmIvan Kopal0Juliána Vršková1Alžbeta Bakošová2Marta Harničárová3Ivan Labaj4Darina Ondrušová5Jan Valíček6Jan Krmela7Department of Numerical Methods and Computational Modeling, Faculty of Industrial Technologies in Púchov, Alexander Dubček University of Trenčín, Ivana Krasku 491/30, 020 01 Púchov, SlovakiaDepartment of Material Technologies and Environment, Faculty of Industrial Technologies in Púchov, Alexander Dubček University of Trenčín, Ivana Krasku 491/30, 020 01 Púchov, SlovakiaDepartment of Numerical Methods and Computational Modeling, Faculty of Industrial Technologies in Púchov, Alexander Dubček University of Trenčín, Ivana Krasku 491/30, 020 01 Púchov, SlovakiaDepartment of Electrical Engineering, Automation and Informatics, Faculty of Engineering, Slovak University of Agriculture in Nitra, Tr. A. Hlinku 2, 949 76 Nitra, SlovakiaDepartment of Numerical Methods and Computational Modeling, Faculty of Industrial Technologies in Púchov, Alexander Dubček University of Trenčín, Ivana Krasku 491/30, 020 01 Púchov, SlovakiaDepartment of Material Technologies and Environment, Faculty of Industrial Technologies in Púchov, Alexander Dubček University of Trenčín, Ivana Krasku 491/30, 020 01 Púchov, SlovakiaDepartment of Electrical Engineering, Automation and Informatics, Faculty of Engineering, Slovak University of Agriculture in Nitra, Tr. A. Hlinku 2, 949 76 Nitra, SlovakiaDepartment of Numerical Methods and Computational Modeling, Faculty of Industrial Technologies in Púchov, Alexander Dubček University of Trenčín, Ivana Krasku 491/30, 020 01 Púchov, SlovakiaModelling the influence of high-energy ionising radiation on the properties of materials with polymeric matrix using advanced artificial intelligence tools plays an important role in the research and development of new materials for various industrial applications. It also applies to effective modification of existing materials based on polymer matrices to achieve the desired properties. In the presented work, the effects of high-energy electron beam radiation with various doses on the dynamic mechanical properties of melamine resin, phenol-formaldehyde resin, and nitrile rubber blend have been studied over a wide temperature range. A new stiffness-temperature model based on Weibull statistics of the secondary bonds breaking during the relaxation transitions has been developed to quantitatively describe changes in the storage modulus with temperature and applied radiation dose until the onset of the temperature of the additional, thermally-induced polymerisation reactions. A global search real-coded genetic algorithm has been successfully applied to optimise the parameters of the developed model by minimising the sum-squared error. An excellent agreement between the modelled and experimental data has been found.https://www.mdpi.com/2073-4360/12/11/2652resin-rubber blendsdynamic mechanical analysisWeibull distributiongenetic algorithmelectron-beam irradiation |
spellingShingle | Ivan Kopal Juliána Vršková Alžbeta Bakošová Marta Harničárová Ivan Labaj Darina Ondrušová Jan Valíček Jan Krmela Modelling the Stiffness-Temperature Dependence of Resin-Rubber Blends Cured by High-Energy Electron Beam Radiation Using Global Search Genetic Algorithm Polymers resin-rubber blends dynamic mechanical analysis Weibull distribution genetic algorithm electron-beam irradiation |
title | Modelling the Stiffness-Temperature Dependence of Resin-Rubber Blends Cured by High-Energy Electron Beam Radiation Using Global Search Genetic Algorithm |
title_full | Modelling the Stiffness-Temperature Dependence of Resin-Rubber Blends Cured by High-Energy Electron Beam Radiation Using Global Search Genetic Algorithm |
title_fullStr | Modelling the Stiffness-Temperature Dependence of Resin-Rubber Blends Cured by High-Energy Electron Beam Radiation Using Global Search Genetic Algorithm |
title_full_unstemmed | Modelling the Stiffness-Temperature Dependence of Resin-Rubber Blends Cured by High-Energy Electron Beam Radiation Using Global Search Genetic Algorithm |
title_short | Modelling the Stiffness-Temperature Dependence of Resin-Rubber Blends Cured by High-Energy Electron Beam Radiation Using Global Search Genetic Algorithm |
title_sort | modelling the stiffness temperature dependence of resin rubber blends cured by high energy electron beam radiation using global search genetic algorithm |
topic | resin-rubber blends dynamic mechanical analysis Weibull distribution genetic algorithm electron-beam irradiation |
url | https://www.mdpi.com/2073-4360/12/11/2652 |
work_keys_str_mv | AT ivankopal modellingthestiffnesstemperaturedependenceofresinrubberblendscuredbyhighenergyelectronbeamradiationusingglobalsearchgeneticalgorithm AT julianavrskova modellingthestiffnesstemperaturedependenceofresinrubberblendscuredbyhighenergyelectronbeamradiationusingglobalsearchgeneticalgorithm AT alzbetabakosova modellingthestiffnesstemperaturedependenceofresinrubberblendscuredbyhighenergyelectronbeamradiationusingglobalsearchgeneticalgorithm AT martaharnicarova modellingthestiffnesstemperaturedependenceofresinrubberblendscuredbyhighenergyelectronbeamradiationusingglobalsearchgeneticalgorithm AT ivanlabaj modellingthestiffnesstemperaturedependenceofresinrubberblendscuredbyhighenergyelectronbeamradiationusingglobalsearchgeneticalgorithm AT darinaondrusova modellingthestiffnesstemperaturedependenceofresinrubberblendscuredbyhighenergyelectronbeamradiationusingglobalsearchgeneticalgorithm AT janvalicek modellingthestiffnesstemperaturedependenceofresinrubberblendscuredbyhighenergyelectronbeamradiationusingglobalsearchgeneticalgorithm AT jankrmela modellingthestiffnesstemperaturedependenceofresinrubberblendscuredbyhighenergyelectronbeamradiationusingglobalsearchgeneticalgorithm |