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Journal articles
Modeling of structure development during polymer processing
Abstract : The general context of this paper is introduction of a crystallization model into 3D software dedicated to a thermomechanical description of the injection-molding process. From the Kolmogoroff-Avrami-Evans equation for overall kinetics and from additional assumptions on nucleation, a system of differential equations is derived for quiescent crystallization and extended to flow-induced crystallization. The experiments done to identify the relevant crystallization parameters are then described, and the values of these parameters are optimized using the Genetic Algorithm inverse method. To check the validity of the theoretical model and the accuracy of our experimental characterization, the curves calculated for the evolutions of the transformed volume fraction and of the number of spherulites are compared to the experimental ones. Finally, the crystallization model is implemented in the Rem3D® code and some typical calculations are presented.
Keywords :
Algorithms
Bessel functions
Computer networks
Crystallization
Curve fitting
Difference equations
Differential equations
Differentiation (calculus)
Epitaxial growth
Genetic algorithms
Integer programming
Inverse problems
Ketones
Mathematical models
Modal analysis
Nanocrystalline alloys
Numerical methods
Three dimensional
Volume fraction
https://hal-mines-paristech.archives-ouvertes.fr/hal-00574098
Contributor : Magalie Prudon Connect in order to contact the contributor
Submitted on : Monday, March 7, 2011 - 11:07:59 AM
Last modification on : Wednesday, October 20, 2021 - 3:18:28 AM
Contributor : Magalie Prudon Connect in order to contact the contributor
Submitted on : Monday, March 7, 2011 - 11:07:59 AM
Last modification on : Wednesday, October 20, 2021 - 3:18:28 AM