CONDITION EQUATION OF POLYMER FILAMENTS
Subject of Research. Studies of thermal and mechanical properties of polymer filaments and fibers are carried out. Refinements are made to the previously obtained constitutive equation that describes deformation-relaxation processes in polymer materials. The refinement gives the possibility to descr...
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Format: | Article |
Language: | English |
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Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University)
2020-12-01
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Series: | Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki |
Subjects: | |
Online Access: | https://ntv.ifmo.ru/file/article/20014.pdf |
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author | Victoria V. Golovina Ekaterina A. Shakhova Pavel P. Rymkevich |
author_facet | Victoria V. Golovina Ekaterina A. Shakhova Pavel P. Rymkevich |
author_sort | Victoria V. Golovina |
collection | DOAJ |
description | Subject of Research. Studies of thermal and mechanical properties of polymer filaments and fibers are carried out. Refinements are made to the previously obtained constitutive equation that describes deformation-relaxation processes in polymer materials. The refinement gives the possibility to describe the thermoviscoelastic behavior of the studied materials in a wide range of temperatures and mechanical stresses, as well as to obtain and study the polymer filaments condition equation in case of a variable temperature. Method. The state of polymer filaments and fibers is researched on the basis of the barrier theory using the balance equation, and the constitutive equations are obtained for the cases of one and a number of energy barriers. A one-barrier equation of polymer material condition is obtained by the thermodynamics method of elastic rods with taking into account the current temperature and the coefficient of linear expansion. The general equation of a polymer material condition is given for the case of an arbitrary number of barriers. Main Results. The constitutive equation describing the thermoviscoelastic properties of polymer materials is modernized. The condition equation of polymer fibers and filaments is obtained. A relationship between the maximum shrinkage temperature and the coefficient of linear expansion has been established. The real modulus of elasticity is determined as a function of temperature. Practical Relevance. The paper illustrates the isometric heating method application for determination of the real modulus of elasticity as a function of temperature. |
first_indexed | 2024-12-20T01:28:53Z |
format | Article |
id | doaj.art-ecb498c5032d41328bf39ef37cf4a5b4 |
institution | Directory Open Access Journal |
issn | 2226-1494 2500-0373 |
language | English |
last_indexed | 2024-12-20T01:28:53Z |
publishDate | 2020-12-01 |
publisher | Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University) |
record_format | Article |
series | Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki |
spelling | doaj.art-ecb498c5032d41328bf39ef37cf4a5b42022-12-21T19:58:10ZengSaint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University)Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki2226-14942500-03732020-12-01206877882https://doi.org/10.17586/2226-1494-2020-20-6-877-882CONDITION EQUATION OF POLYMER FILAMENTSVictoria V. Golovina0https://orcid.org/0000-0002-2691-7680Ekaterina A. Shakhova1https://orcid.org/0000-0003-4637-6153Pavel P. Rymkevich2https://orcid.org/0000-0002-9362-0561PhD, Associate Professor, Mozhaisky Military Space Academy, Saint Petersburg, 197198, Russian FederationLecturer, Mozhaisky Military Space Academy, Saint Petersburg, 197198, Russian FederationD.Sc., Associate Professor, Professor, Mozhaisky Military Space Academy, Saint Petersburg, 197198, Russian FederationSubject of Research. Studies of thermal and mechanical properties of polymer filaments and fibers are carried out. Refinements are made to the previously obtained constitutive equation that describes deformation-relaxation processes in polymer materials. The refinement gives the possibility to describe the thermoviscoelastic behavior of the studied materials in a wide range of temperatures and mechanical stresses, as well as to obtain and study the polymer filaments condition equation in case of a variable temperature. Method. The state of polymer filaments and fibers is researched on the basis of the barrier theory using the balance equation, and the constitutive equations are obtained for the cases of one and a number of energy barriers. A one-barrier equation of polymer material condition is obtained by the thermodynamics method of elastic rods with taking into account the current temperature and the coefficient of linear expansion. The general equation of a polymer material condition is given for the case of an arbitrary number of barriers. Main Results. The constitutive equation describing the thermoviscoelastic properties of polymer materials is modernized. The condition equation of polymer fibers and filaments is obtained. A relationship between the maximum shrinkage temperature and the coefficient of linear expansion has been established. The real modulus of elasticity is determined as a function of temperature. Practical Relevance. The paper illustrates the isometric heating method application for determination of the real modulus of elasticity as a function of temperature.https://ntv.ifmo.ru/file/article/20014.pdfcondition equationphysical modelclusterenergy gapisometric heating methoddeformationshrinkage |
spellingShingle | Victoria V. Golovina Ekaterina A. Shakhova Pavel P. Rymkevich CONDITION EQUATION OF POLYMER FILAMENTS Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki condition equation physical model cluster energy gap isometric heating method deformation shrinkage |
title | CONDITION EQUATION OF POLYMER FILAMENTS |
title_full | CONDITION EQUATION OF POLYMER FILAMENTS |
title_fullStr | CONDITION EQUATION OF POLYMER FILAMENTS |
title_full_unstemmed | CONDITION EQUATION OF POLYMER FILAMENTS |
title_short | CONDITION EQUATION OF POLYMER FILAMENTS |
title_sort | condition equation of polymer filaments |
topic | condition equation physical model cluster energy gap isometric heating method deformation shrinkage |
url | https://ntv.ifmo.ru/file/article/20014.pdf |
work_keys_str_mv | AT victoriavgolovina conditionequationofpolymerfilaments AT ekaterinaashakhova conditionequationofpolymerfilaments AT pavelprymkevich conditionequationofpolymerfilaments |