Numerical and Physical Modeling of Polymer Crystallization
-
J.-M. Haudin
und J.-L. Chenot
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.
References
1 Billon, N., Haudin, J. M., in: Structure Development During Polymer Processing. Cunha, A. M., Fakirov, S. (Eds.), NATO Science Series, Series: Applied Sciences, Vol. 370, Kluwer Academic Publishers, Dordrecht (2000).Suche in Google Scholar
2 Avrami, M.: J. Chem. Phys.7, p. 1103 (1939).10.1063/1.1750380Suche in Google Scholar
3 Avrami, M.: J. Chem. Phys.8, p. 212 (1940).10.1063/1.1750631Suche in Google Scholar
4 Avrami, M.: J. Chem. Phys.9, p. 177 (1941).10.1063/1.1750872Suche in Google Scholar
5 Kolmogoroff, A. N.: Izvest. Akad. Nauk., Ser. Math.1, p. 355 (1937).Suche in Google Scholar
6 Evans, U. R.: Trans. Faraday Soc.41, p. 365 (1945).10.1039/tf9454100365Suche in Google Scholar
7 Billon, N., Haudin, J. M.: Ann. Chim. Fr.15, p. 249 (1990).Suche in Google Scholar
8 Nakamura, K., Watanabe, T., Katayama, K, Amano, T.: J. Appl. Polym. Sci.16, p. 1077 (1972).10.1002/app.1972.070160503Suche in Google Scholar
9 Ozawa, T.: Polymer12, p. 150 (1971).10.1016/0032-3861(71)90041-3Suche in Google Scholar
10 Billon, N., Barg, P., Haudin, J. M.: Intern. Polym. Process.6, p. 348 (1991).10.3139/217.910348Suche in Google Scholar
11 Piorkowska, E., Galeski, A.: J. Polym. Sci. Polym. Phys. Ed.23, p. 1723 (1985).10.1002/pol.1985.180230901Suche in Google Scholar
12 Schneider, W., Köppl, A., Berger, J.: Intern. Polym. Process.3, p. 151 (1988).10.3139/217.880150Suche in Google Scholar
13 Zuidema, H., Peters, G. W. M., Meijer, H. E. H.: Macromol. Theory Simul.10, p. 447 (2001).10.1002/1521-3919(20010601)10:5<447::AID-MATS447>3.0.CO;2-CSuche in Google Scholar
14 Galeski, A.: J. Polym. Sci. Polym. Phys. Ed.19, p. 721 (1981).10.1002/pol.1981.180190501Suche in Google Scholar
15 Galeski, A., Piorkowska, E.: J. Polym. Sci. Polym. Phys. Ed.19, p. 731 (1981).10.1002/pol.1981.180190502Suche in Google Scholar
16 Billon, N., Haudin, J. M.: Ann. Chim. Fr.15, p. 1 (1990).Suche in Google Scholar
17 Billon, N., Haudin, J. M.: Colloid Polym. Sci.271, p. 343 (1993).10.1007/BF00657416Suche in Google Scholar
18 Haudin, J. M., Monasse, B., in: Structure Development During Polymer Processing. Cunha, A. M., Fakirov, S. (Eds.), NATO Science Series, Series: Applied Sciences, Vol. 370, Kluwer Academic Publishers, Dordrecht. (2000).Suche in Google Scholar
19 Janeschitz-Kriegl, H.: Prog. Colloid Polym. Sci.87, p. 117 (1992).Suche in Google Scholar
© 2004, Carl Hanser Verlag, Munich
Artikel in diesem Heft
- Contents
- Contents
- Editorial
- Polymer Processing Society Annual Meeting 21
- Screw Extrusion
- Parametric Study of the Mixing Efficiency in a Kneading Block Section of a Twin-screw Extruder
- Experiments on Characteristic Deformation and Breakup Behaviors of an Immiscible Drop in a Screw Channel Flow
- Die Extrusion
- Flow Balancing in Extrusion Dies for Thermoplastic Profiles
- Fiber
- Effects of Sparse Long Chain Branching on the Spinning Stability of LLDPEs
- Dry Spinning of Polymer Fibers in Ternary Systems
- Dry Spinning of Polymer Fibers in Ternary Systems
- Studies on Methacrylate-hydroethyl Methacrylate Oil-absorptive Fiber
- Film
- Numerical and Physical Modeling of Polymer Crystallization
- Numerical and Physical Modeling of Polymer Crystallization
- Modeling
- Study on Viscoelastic Behavior and Extrusion Blow Molding Processability of PP/PE Blends
- Simulation of Thermal Phenomena on the Interface Molten Polymer/Powder Polymer During Rotational Molding
- Effect of Mold Temperature on Structure and Property Variations of PBT Injection Moldings in the Thickness Direction
- Tensile and Flexural Properties of β-Nucleated Polypropylenes
- Predicting the Long-term Creep Behavior of Plastics Using the Short-term Creep Test
- PPS News
- PPS News
Artikel in diesem Heft
- Contents
- Contents
- Editorial
- Polymer Processing Society Annual Meeting 21
- Screw Extrusion
- Parametric Study of the Mixing Efficiency in a Kneading Block Section of a Twin-screw Extruder
- Experiments on Characteristic Deformation and Breakup Behaviors of an Immiscible Drop in a Screw Channel Flow
- Die Extrusion
- Flow Balancing in Extrusion Dies for Thermoplastic Profiles
- Fiber
- Effects of Sparse Long Chain Branching on the Spinning Stability of LLDPEs
- Dry Spinning of Polymer Fibers in Ternary Systems
- Dry Spinning of Polymer Fibers in Ternary Systems
- Studies on Methacrylate-hydroethyl Methacrylate Oil-absorptive Fiber
- Film
- Numerical and Physical Modeling of Polymer Crystallization
- Numerical and Physical Modeling of Polymer Crystallization
- Modeling
- Study on Viscoelastic Behavior and Extrusion Blow Molding Processability of PP/PE Blends
- Simulation of Thermal Phenomena on the Interface Molten Polymer/Powder Polymer During Rotational Molding
- Effect of Mold Temperature on Structure and Property Variations of PBT Injection Moldings in the Thickness Direction
- Tensile and Flexural Properties of β-Nucleated Polypropylenes
- Predicting the Long-term Creep Behavior of Plastics Using the Short-term Creep Test
- PPS News
- PPS News