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Numerical and Physical Modeling of Polymer Crystallization

Part I: Theoretical and Numerical Analysis
  • J.-M. Haudin and J.-L. Chenot
Published/Copyright: May 2, 2013
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International Polymer Processing
From the journal International Polymer Processing Volume 19 Issue 3

Abstract

In this first paper, we have revisited Avrami's model and cast its basic equations into a differential system. This system is integrated numerically, which avoids unnecessary simplifying assumptions generally used in order to get analytical expressions. This allows us to introduce the variations of nucleation and growth parameters as a function of processing ones (temperature, cooling rate, shear rate, etc.). Our analysis shows that it is necessary to take into account the variation of the initial number of potential nuclei with temperature, which was usually ignored. Finally, an outpout of our calculations is the size distribution of the morphological entities, i. e., a quantitative information on microstructure.

∗ Mail address: J. M. Haudin, Centre de Mise en Forme des Matériaux, UMR C.N.R.S. n° 7635, Ecole des Mines de Paris, B.P. 207, 06904 Sophia-Antipolis Cedex, France E-mail:

References

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Received: 2004-5-10
Accepted: 2004-6-15
Published Online: 2013-05-02
Published in Print: 2004-09-01

© 2004, Carl Hanser Verlag, Munich

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  3. Editorial
  4. Polymer Processing Society Annual Meeting 21
  5. Screw Extrusion
  6. Parametric Study of the Mixing Efficiency in a Kneading Block Section of a Twin-screw Extruder
  7. Experiments on Characteristic Deformation and Breakup Behaviors of an Immiscible Drop in a Screw Channel Flow
  8. Die Extrusion
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  10. Fiber
  11. Effects of Sparse Long Chain Branching on the Spinning Stability of LLDPEs
  12. Dry Spinning of Polymer Fibers in Ternary Systems
  13. Dry Spinning of Polymer Fibers in Ternary Systems
  14. Studies on Methacrylate-hydroethyl Methacrylate Oil-absorptive Fiber
  15. Film
  16. Numerical and Physical Modeling of Polymer Crystallization
  17. Numerical and Physical Modeling of Polymer Crystallization
  18. Modeling
  19. Study on Viscoelastic Behavior and Extrusion Blow Molding Processability of PP/PE Blends
  20. Simulation of Thermal Phenomena on the Interface Molten Polymer/Powder Polymer During Rotational Molding
  21. Effect of Mold Temperature on Structure and Property Variations of PBT Injection Moldings in the Thickness Direction
  22. Tensile and Flexural Properties of β-Nucleated Polypropylenes
  23. Predicting the Long-term Creep Behavior of Plastics Using the Short-term Creep Test
  24. PPS News
  25. PPS News
https://doi.org/10.3139/217.1829

Articles in the same Issue

  1. Contents
  2. Contents
  3. Editorial
  4. Polymer Processing Society Annual Meeting 21
  5. Screw Extrusion
  6. Parametric Study of the Mixing Efficiency in a Kneading Block Section of a Twin-screw Extruder
  7. Experiments on Characteristic Deformation and Breakup Behaviors of an Immiscible Drop in a Screw Channel Flow
  8. Die Extrusion
  9. Flow Balancing in Extrusion Dies for Thermoplastic Profiles
  10. Fiber
  11. Effects of Sparse Long Chain Branching on the Spinning Stability of LLDPEs
  12. Dry Spinning of Polymer Fibers in Ternary Systems
  13. Dry Spinning of Polymer Fibers in Ternary Systems
  14. Studies on Methacrylate-hydroethyl Methacrylate Oil-absorptive Fiber
  15. Film
  16. Numerical and Physical Modeling of Polymer Crystallization
  17. Numerical and Physical Modeling of Polymer Crystallization
  18. Modeling
  19. Study on Viscoelastic Behavior and Extrusion Blow Molding Processability of PP/PE Blends
  20. Simulation of Thermal Phenomena on the Interface Molten Polymer/Powder Polymer During Rotational Molding
  21. Effect of Mold Temperature on Structure and Property Variations of PBT Injection Moldings in the Thickness Direction
  22. Tensile and Flexural Properties of β-Nucleated Polypropylenes
  23. Predicting the Long-term Creep Behavior of Plastics Using the Short-term Creep Test
  24. PPS News
  25. PPS News
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