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On the modeling of quiescent crystallization of polymer melts
Author(s) -
Rao I. J.,
Rajagopal K. R.
Publication year - 2004
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.20011
Subject(s) - crystallization , entropy production , dissipative system , thermodynamics , materials science , crystallization of polymers , polymer , entropy (arrow of time) , statistical physics , constitutive equation , physics , composite material , finite element method
In this paper we present a way of modeling crystallization in polymers within the confines of a new general framework that has been developed to describe materials undergoing dissipative processes. Crystallization in polymers is in general an irreversible process, and a characteristic of all such processes is the production of entropy. In addition to postulating constitutive forms for the internal energy and entropy, we prescribe a constitutive relation for the entropy production. This in turn aids in deriving the crystallization rate equation from the second law, under the constraint that all real processes tend to maximize the rate of entropy production. After developing the general framework we derive specific models and compare the predictions of the model against experimental data available for quiescent crystallization in the literature. The predictions of the theory compare very well with the available experimental data for Nylon‐6 obtained by Patel and Spruiell (1).