Abstract
Injection moulding is a largely used process in polymer manifacture which consists of two major stages: first the mould is filled with melted polymer and solidification begins at the mould walls; in the second stage — “packing and cooling” — the temperature is decreased while pressure is increased up to 100–150 M Pa in order to complete the filling, compensating for the change in volume due to solidification (see [9]).
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References
M. AVRAMI, Kinetics of Phase Change, I, II and III, J. Chem. Phys. 7, 1103–1112 (1939); 8, 212–224 (1940); 9, 117–184 (1941).
J. BERGER, W. SCHNEIDER, A zone model of rate controlled solidification, Plastics and Rubber Processing and Applications 6, 127–133 (1986).
G. BRANDEIS et al., Nucleation, Crystal Growth and the Thermal Regime of Cooling Magmas, J. of Geophysical Res. 89, 10161–10177 (1984).
J.W. CHRISTIAN, The theory of transformations in metals and alloys, Pergamon Press, Oxford 1965.
W.J. HAYES, Mathematical models in material sciences, M. Sc. Thesis, Oxford 1985.
O. LADYZENSKAJA et al., Linear and Quasilinear Equations of Parabolic Type, Translations of Mathematical Monographs, Vol. 23, American Mathematical Society, Providence R. I. 1968.
A.YA. MALKIN et al., General treatment of polymer crystallization kinetics, Parts 1 and 2, Polym. Eng. Sei., Poym. Phys. Ed. 24, 1396–1401, 1402–1408 (1984).
L. MANDELKERN, Crystallization of Polymers, Mac Graw-Hill, New York 1964.
S. MAZZULLO, Crystallization of polymers processing and the associated free and moving boundary problems, Himont Italia 1987.
S. MAZZULLO, M.PAOLINI, C.VERDI, Polymer crystallization and processing: free boundary problems and their numerical approximation, ECMI 88, Glasgow.
E. SCHEIL, Anlaufzeit den Austenitumwandung, Arch. für Eisenhütten-wesen 8 (1935) 565–579.
W. SCHNEIDER et al., Non-isothermal Crystallization of Polymers, Intern. Polymer Processing II 314, 151–154 (1988).
M.C. TOBIN, Theory of phase transition kinetics with growth site impingement, I and II, J. Polym. Sei., Polym. Phys. Ed. 12, 394–406 (1974) and 14, 2253–2257 (1976).
A. VISINTIN, Mathematical models of solid-solid phase transitions in steel, IMA J. Appl. Math. 39 (1987), 143–157.
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© 1991 B.G. Teubner Stuttgart and Kluwer Academic Publishers
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Andreucci, D., Fasano, A., Primicerio, M. (1991). On A Mathematical Model for the Crystallization of Polymers. In: Wacker, H., Zulehner, W. (eds) Proceedings of the Fourth European Conference on Mathematics in Industry. European Consortium for Mathematics in Industry, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0703-4_1
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DOI: https://doi.org/10.1007/978-94-009-0703-4_1
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