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...

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Main Authors: Ivan Kopal, Juliána Vršková, Alžbeta Bakošová, Marta Harničárová, Ivan Labaj, Darina Ondrušová, Jan Valíček, Jan Krmela
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Polymers
Subjects:
Online Access:https://www.mdpi.com/2073-4360/12/11/2652
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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.
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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
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