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Numerical Approximation of Free Boundary Problems in Polymer Crystallization

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Proceedings of the Third European Conference on Mathematics in Industry

Part of the book series: European Consortium for Mathematics in Industry ((ECMI,volume 5))

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Abstract

The skin-core morphology of an injection moulded polymer product is due to the melting-crystallization phase transition. It is thus described in terms of thermal history and overall (nucleation and crystal growth) crystallization kinetic. Two Stefan problems have been analyzed to study the moving boundary appearing during polymer crystallization. Their difference is due to the constitutive equation for the heat flux. An improved Avrami equation is adopted for the overall crystallization kinetic. This accounts for the formation of a mushy region besides liquid and crystal phases. Both models have been efficiently discretized by a stable finite element method based on a semi-explicit finite difference approximation in time. The skin-core structure is well predicted by the Fourier-Stefan model.

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Author information

Authors and Affiliations

  1. Centro Ricerche “G. Natta”, HIMONT ITALIA, 44100, Ferrara, Italy

    Salvatore Mazzullo

  2. Istituto di Analisi Numerica del C.N.R., 27100, Pavia, Italy

    Maurizio Paolini

  3. Dipartimento di Meccanica Strutturale, Università di Pavia, 27100, Pavia, Italy

    Claudio Verdi

Authors
  1. Salvatore Mazzullo
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  2. Maurizio Paolini
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  3. Claudio Verdi
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Editor information

Editors and Affiliations

  1. University of Strathclyde, Glasgow, UK

    John Manley (Lecturer in Industrial Mathematics), Sean McKee (Professor of Industrial Mathematics) & David Owens (Professor of Dynamics and Control) (Lecturer in Industrial Mathematics),  (Professor of Industrial Mathematics) &  (Professor of Dynamics and Control)

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© 1990 B. G. Teubner Stuttgart and Kluwer Academic Publishers

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Mazzullo, S., Paolini, M., Verdi, C. (1990). Numerical Approximation of Free Boundary Problems in Polymer Crystallization. In: Manley, J., McKee, S., Owens, D. (eds) Proceedings of the Third European Conference on Mathematics in Industry. European Consortium for Mathematics in Industry, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0629-7_44

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  • DOI: https://doi.org/10.1007/978-94-009-0629-7_44

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6770-6

  • Online ISBN: 978-94-009-0629-7

  • eBook Packages: Springer Book Archive

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