Mathematical modelling and simulation of polymer crystallization processes

Authors
Citation
A. Micheletti, Mathematical modelling and simulation of polymer crystallization processes, NONLIN ANAL, 47(3), 2001, pp. 1761-1772
Citations number
17
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
3
Year of publication
2001
Pages
1761 - 1772
Database
ISI
SICI code
0362-546X(200108)47:3<1761:MMASOP>2.0.ZU;2-3
Abstract
Polymer crystallization may be modelled by a stochastic birth-and-growth pr ocess, with temperature dependent parameters. The temperature field is itse lf stochastic, because of the release of latent heat, due to the phase chan ge. A mathematical model which couples the evolution of crystal growth with the temperature field is here described. The final result is a stochastic system of PDE's, which has been numerically simulated. Results of numerical simulations for a test case are reported and discussed.