Kinetics of oriented crystallization of polymers in the linear stress-orientation range in the series expansion approach
An analytical formula is derived for the oriented crystallization coefficient governing kinetics of oriented crystallization under uniaxial amorphous orientation in the entire temperature range. A series expansion approach is applied to the free energy of crystallization in the Hoffman-Lauritzen kin...
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| Format: | Article |
| Language: | English |
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Budapest University of Technology and Economics
2018-04-01
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| Series: | eXPRESS Polymer Letters |
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| Online Access: | http://www.expresspolymlett.com/letolt.php?file=EPL-0008746&mi=cd |
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| author | L. Jarecki R. B. Pecherski |
| author_facet | L. Jarecki R. B. Pecherski |
| author_sort | L. Jarecki |
| collection | DOAJ |
| description | An analytical formula is derived for the oriented crystallization coefficient governing kinetics of oriented crystallization under uniaxial amorphous orientation in the entire temperature range. A series expansion approach is applied to the free energy of crystallization in the Hoffman-Lauritzen kinetic model of crystallization at accounting for the entropy of orientation of the amorphous chains. The series expansion coefficients are calculated for systems of Gaussian chains in linear stress-orientation range. Oriented crystallization rate functions are determined basing on the ‘proportional expansion’ approach proposed by Ziabicki in the steady-state limit. Crystallization kinetics controlled by separate predetermined and sporadic primary nucleation is considered, as well as the kinetics involving both nucleation mechanisms potentially present in oriented systems. The involvement of sporadic nucleation in the transformation kinetics is predicted to increase with increasing amorphous orientation. Example computations illustrate the dependence of the calculated functions on temperature and amorphous orientation, as well as qualitative agreement of the calculations with experimental results. |
| format | Article |
| id | doaj-art-0b25bf96e66d412a85eb9e73eb1ebf82 |
| institution | Kabale University |
| issn | 1788-618X |
| language | English |
| publishDate | 2018-04-01 |
| publisher | Budapest University of Technology and Economics |
| record_format | Article |
| series | eXPRESS Polymer Letters |
| spelling | doaj-art-0b25bf96e66d412a85eb9e73eb1ebf822025-08-20T03:32:51ZengBudapest University of Technology and EconomicseXPRESS Polymer Letters1788-618X2018-04-0112433034810.3144/expresspolymlett.2018.29Kinetics of oriented crystallization of polymers in the linear stress-orientation range in the series expansion approachL. JareckiR. B. PecherskiAn analytical formula is derived for the oriented crystallization coefficient governing kinetics of oriented crystallization under uniaxial amorphous orientation in the entire temperature range. A series expansion approach is applied to the free energy of crystallization in the Hoffman-Lauritzen kinetic model of crystallization at accounting for the entropy of orientation of the amorphous chains. The series expansion coefficients are calculated for systems of Gaussian chains in linear stress-orientation range. Oriented crystallization rate functions are determined basing on the ‘proportional expansion’ approach proposed by Ziabicki in the steady-state limit. Crystallization kinetics controlled by separate predetermined and sporadic primary nucleation is considered, as well as the kinetics involving both nucleation mechanisms potentially present in oriented systems. The involvement of sporadic nucleation in the transformation kinetics is predicted to increase with increasing amorphous orientation. Example computations illustrate the dependence of the calculated functions on temperature and amorphous orientation, as well as qualitative agreement of the calculations with experimental results.http://www.expresspolymlett.com/letolt.php?file=EPL-0008746&mi=cdModeling and simulationoriented crystallizationamorphous orientationsporadic nucleationpredetermined nucleation |
| spellingShingle | L. Jarecki R. B. Pecherski Kinetics of oriented crystallization of polymers in the linear stress-orientation range in the series expansion approach eXPRESS Polymer Letters Modeling and simulation oriented crystallization amorphous orientation sporadic nucleation predetermined nucleation |
| title | Kinetics of oriented crystallization of polymers in the linear stress-orientation range in the series expansion approach |
| title_full | Kinetics of oriented crystallization of polymers in the linear stress-orientation range in the series expansion approach |
| title_fullStr | Kinetics of oriented crystallization of polymers in the linear stress-orientation range in the series expansion approach |
| title_full_unstemmed | Kinetics of oriented crystallization of polymers in the linear stress-orientation range in the series expansion approach |
| title_short | Kinetics of oriented crystallization of polymers in the linear stress-orientation range in the series expansion approach |
| title_sort | kinetics of oriented crystallization of polymers in the linear stress orientation range in the series expansion approach |
| topic | Modeling and simulation oriented crystallization amorphous orientation sporadic nucleation predetermined nucleation |
| url | http://www.expresspolymlett.com/letolt.php?file=EPL-0008746&mi=cd |
| work_keys_str_mv | AT ljarecki kineticsoforientedcrystallizationofpolymersinthelinearstressorientationrangeintheseriesexpansionapproach AT rbpecherski kineticsoforientedcrystallizationofpolymersinthelinearstressorientationrangeintheseriesexpansionapproach |