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On the Evolution of Phase Boundaries pp 127–136Cite as

Towards a Phase Field Model for Phase Transitions in Binary Alloys

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Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 43))

Abstract

To date phase field models have only been used to model non-isothermal phase transitions in a pure material. Here we describe recent steps which aim to extend phase field models to deal with binary alloys; a situation of metallurgical and industrial importance. To this end we present a new phase field model for isothermal phase transitions in a binary alloy and discuss the results of an asymptotic analysis. Finally we suggest ways in which these models may be further developed to achieve our aim of a non-isothermal phase field model of a binary alloy.

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Author information

Authors and Affiliations

  1. School of Mathematics, University Walk, Bristol, BS8 1TW, UK

    A. A. Wheeler

  2. National Institute of Standards and Technology, Gaithersburg, MD, 20899, USA

    W. J. Boettinger

Authors
  1. A. A. Wheeler
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  2. W. J. Boettinger
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Carnegie-Mellon University, Pittsburgh, PA, 15213, USA

    Morton E. Gurtin

  2. NIST, Gaithersburg, MD, 20899, USA

    Geoffrey B. McFadden

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© 1992 Springer-Verlag New York, Inc.

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Wheeler, A.A., Boettinger, W.J. (1992). Towards a Phase Field Model for Phase Transitions in Binary Alloys. In: Gurtin, M.E., McFadden, G.B. (eds) On the Evolution of Phase Boundaries. The IMA Volumes in Mathematics and its Applications, vol 43. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9211-8_9

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  • DOI: https://doi.org/10.1007/978-1-4613-9211-8_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9213-2

  • Online ISBN: 978-1-4613-9211-8

  • eBook Packages: Springer Book Archive

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