4.7 Article

Mesoscale simulations of spherulite growth during isothermal crystallization of polymer melts via an enhanced 3D phase-field model

期刊

APPLIED MATHEMATICS AND COMPUTATION
卷 446, 期 -, 页码 -

出版社

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2023.127873

关键词

Phase-field model; Isothermal crystallization; 3D spherulite growth; PA 12; High-order finite-difference approximation

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A finite difference-based 3D phase-field model is developed to investigate spherulite growth during the isothermal crystallization of polyamide (PA) 12. The model accurately simulates the morphologies and quantitative characteristics of crystals, validating against experiments. The simulation demonstrates that crystallization temperature affects crystal size and growth rate, and multiple crystals impinge and fill the domain during crystallization, highlighting the capability of the model.
A finite difference-based 3D phase-field model is developed to investigate the spherulite growth at the mesoscopic scale during the isothermal crystallization of polyamide (PA) 12. The model introduces a phase-field variable to distinguish the crystalline and amorphous phases of polymers. The phase-field evolution equation is coupled with the heat conduc-tion equation that considers the latent heat of crystallization. The evolution equations in-troduce both the dimensionless diffusivity and latent heat that are dependent on the crys-tallization temperature. A high-order finite difference-based numerical framework is ap-plied to the phase-field model. Both the qualitative simulation results of the phase-field model such as the crystal morphologies and the quantitative results including the radial crystal growth rate, degree of crystallinity, and lamellar thickness are validated against ex-periments. The simulation for single-crystal growth shows that a high crystallization tem-perature results in a large crystal with a slow radial growth rate. The simulation for multi -crystal growth shows that the crystals impinge on each other and finally fill the whole domain during crystallization, which further demonstrates the capability of the model in simulating the spherulite growth during isothermal crystallization of polymer melts. (c) 2023 Elsevier Inc. All rights reserved.

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