Method and Mathematical Modeling of Formation of Gradually and Homogeneously Oriented Linear Polymers

Previously, we developed several technical solutions for the conversion of isotropic polymers into materials of a new type—gradually oriented polymers with a gradient of physical and mechanical properties, thereby materializing for the first time the unused possibilities inherent in the polymeric na...

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Main Authors: Levan Nadareishvili, Roland Bakuradze, Jimsher Aneli, Manana Areshidze, Ineza Pavlenishvili, Liana Sharashidze, Giorgi Basilaia
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:International Journal of Polymer Science
Online Access:http://dx.doi.org/10.1155/2019/8132518
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spelling doaj-060354cf4cce4663b95215b0c356247b2020-11-24T22:02:03ZengHindawi LimitedInternational Journal of Polymer Science1687-94221687-94302019-01-01201910.1155/2019/81325188132518Method and Mathematical Modeling of Formation of Gradually and Homogeneously Oriented Linear PolymersLevan Nadareishvili0Roland Bakuradze1Jimsher Aneli2Manana Areshidze3Ineza Pavlenishvili4Liana Sharashidze5Giorgi Basilaia6Vl. Chavchanidze Institute of Cybernetics of the Georgian Technical University, 5 Z. Anjaparidze St., Tbilisi 0186, GeorgiaVl. Chavchanidze Institute of Cybernetics of the Georgian Technical University, 5 Z. Anjaparidze St., Tbilisi 0186, GeorgiaR. Dvali Institute of Machine Mechanics, 10 Mindeli Str. Tbilisi 0186, GeorgiaVl. Chavchanidze Institute of Cybernetics of the Georgian Technical University, 5 Z. Anjaparidze St., Tbilisi 0186, GeorgiaVl. Chavchanidze Institute of Cybernetics of the Georgian Technical University, 5 Z. Anjaparidze St., Tbilisi 0186, GeorgiaVl. Chavchanidze Institute of Cybernetics of the Georgian Technical University, 5 Z. Anjaparidze St., Tbilisi 0186, GeorgiaR. Dvali Institute of Machine Mechanics, 10 Mindeli Str. Tbilisi 0186, GeorgiaPreviously, we developed several technical solutions for the conversion of isotropic polymers into materials of a new type—gradually oriented polymers with a gradient of physical and mechanical properties, thereby materializing for the first time the unused possibilities inherent in the polymeric nature of the substance. The scientific basis of these developments is the concept of a new structural state of linear polymers—a gradually oriented (stretched) state (GOS), the essence of which is set out briefly. An algorithm and a mathematical model for controlling the process of uniaxial, zonal stretching of linear polymers are proposed, which allow the formation of gradually or homogeneously oriented polymers (polymer composites). At the same time, specified values of quantitative parameters are ensured, in particular, the selected profile of distribution of the relative elongation (linear, sinusoidal, etc.) along the length of the gradually oriented polymer sample and the specified constant relative elongation along the length of the homogeneously oriented polymer. Mathematical expressions for calculating the conditions to obtain gradually oriented polymers with given geometric dimensions (length, width) and with a given distribution of relative elongation along the length of the resulting sample were also derived. The description of method and principles of operation of the appropriate device is given. Experimental data illustrating the possibilities of the proposed method and the efficiency of mathematical modeling are presented. The issues of creating functionally graded materials with a gradient of microstructure (gradient of degree of orientation/relative elongation) or chemical composition (volume fraction of functional fillers), respectively, based on thermoplastic polymer/copolymer or polymer composite (containing functional fillers) by method of uniaxial, zonal graded stretching are discussed.http://dx.doi.org/10.1155/2019/8132518
collection DOAJ
language English
format Article
sources DOAJ
author Levan Nadareishvili
Roland Bakuradze
Jimsher Aneli
Manana Areshidze
Ineza Pavlenishvili
Liana Sharashidze
Giorgi Basilaia
spellingShingle Levan Nadareishvili
Roland Bakuradze
Jimsher Aneli
Manana Areshidze
Ineza Pavlenishvili
Liana Sharashidze
Giorgi Basilaia
Method and Mathematical Modeling of Formation of Gradually and Homogeneously Oriented Linear Polymers
International Journal of Polymer Science
author_facet Levan Nadareishvili
Roland Bakuradze
Jimsher Aneli
Manana Areshidze
Ineza Pavlenishvili
Liana Sharashidze
Giorgi Basilaia
author_sort Levan Nadareishvili
title Method and Mathematical Modeling of Formation of Gradually and Homogeneously Oriented Linear Polymers
title_short Method and Mathematical Modeling of Formation of Gradually and Homogeneously Oriented Linear Polymers
title_full Method and Mathematical Modeling of Formation of Gradually and Homogeneously Oriented Linear Polymers
title_fullStr Method and Mathematical Modeling of Formation of Gradually and Homogeneously Oriented Linear Polymers
title_full_unstemmed Method and Mathematical Modeling of Formation of Gradually and Homogeneously Oriented Linear Polymers
title_sort method and mathematical modeling of formation of gradually and homogeneously oriented linear polymers
publisher Hindawi Limited
series International Journal of Polymer Science
issn 1687-9422
1687-9430
publishDate 2019-01-01
description Previously, we developed several technical solutions for the conversion of isotropic polymers into materials of a new type—gradually oriented polymers with a gradient of physical and mechanical properties, thereby materializing for the first time the unused possibilities inherent in the polymeric nature of the substance. The scientific basis of these developments is the concept of a new structural state of linear polymers—a gradually oriented (stretched) state (GOS), the essence of which is set out briefly. An algorithm and a mathematical model for controlling the process of uniaxial, zonal stretching of linear polymers are proposed, which allow the formation of gradually or homogeneously oriented polymers (polymer composites). At the same time, specified values of quantitative parameters are ensured, in particular, the selected profile of distribution of the relative elongation (linear, sinusoidal, etc.) along the length of the gradually oriented polymer sample and the specified constant relative elongation along the length of the homogeneously oriented polymer. Mathematical expressions for calculating the conditions to obtain gradually oriented polymers with given geometric dimensions (length, width) and with a given distribution of relative elongation along the length of the resulting sample were also derived. The description of method and principles of operation of the appropriate device is given. Experimental data illustrating the possibilities of the proposed method and the efficiency of mathematical modeling are presented. The issues of creating functionally graded materials with a gradient of microstructure (gradient of degree of orientation/relative elongation) or chemical composition (volume fraction of functional fillers), respectively, based on thermoplastic polymer/copolymer or polymer composite (containing functional fillers) by method of uniaxial, zonal graded stretching are discussed.
url http://dx.doi.org/10.1155/2019/8132518
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