C. Charbon et S. Swaminarayan, MULTISCALE MODEL FOR POLYMER CRYSTALLIZATION - II - SOLIDIFICATION OFA MACROSCOPIC PART, Polymer engineering and science, 38(4), 1998, pp. 644-656
In part I of this paper, we presented two efficient front tracking met
hods to simulate the growth of a spherulite within an imposed temperat
ure field. In this second part we present a method that predicts the f
inal microstructure in a macroscopic part by coupling these front-trac
king techniques with (a) a stochastic model for the nucleation of indi
vidual spherulites, (b) a cellular model for spherulite impingement an
d solid fraction evolution and (c) a Finite Difference Method (FDM) fo
r latent heat release and heat diffusion. The method tracks the physic
al phenomena on several length scales: a coarse grid for the heat diff
usion, a fine grid for solid fraction evolution and a very fine grid f
or the shape of the individual spherulites and the lamellae within the
m. To our knowledge this is the first time that a fully coupled multis
cale model has been applied to the solidification of polymers which gi
ves realistic microstructure evolution, orientation of the different l
amellae within spherulites and maps of the solid fraction and temperat
ure fields during solidification. The model provides us with a quantit
ative predictive tool that can be used to optimize industrial processe
s.