Advertisement

Transactions of the Indian Institute of Metals

, Volume 71, Issue 11, pp 2725–2729 | Cite as

A Multi-phase-field Approach for Solidification with Non-negligible Volumetric Expansion—Application to Graphite Growth in Nodular Cast Iron

  • Janin Eiken
  • Bernd Böttger
Technical Paper
  • 20 Downloads

Abstract

Multi-phase field models have become powerful tools for prediction of microstructure evolution in technical alloys. Coupling to CALPHAD databases provides complex multicomponent multiphase thermodynamic data and diffusion matrices. Although many thermodynamic databases contain volume data, this information is by now hardly used for solidification, since a comprehensive modelling of volumetric expansion based on solid- and fluid-mechanics exceeds present computational capacities. A novel multicomponent multi-phase-field approach is presented which handles volumetric expansion in a simplified way. It assumes that temporary pressure caused by local expansion is instantaneously released by matter transport on a time scale much faster than diffusion. The new approach neglects any mechanical and kinetic aspects of expansion, but allows for a change in total volume and for thermodynamically consistent volume fractions. Moreover, expansion-driven matter fluxes and associated advective solute transport are considered. Application is illustrated by the example of spheroidal graphite growth in a hypoeutectic cast iron alloy.

Keywords

Phase field Volumetric expansion Microsegregation Cast iron Spheroidal graphite 

Notes

Acknowledgements

This research has been funded by the German Federal Ministry for Economic Affairs and Energy in the framework of the Project DiWaGussGJS.

References

  1. 1.
    Eiken J, A Phase-Field Model for Technical Alloy Solidification, Shaker Verlag (2010) ISBN 978-3-8322-9010-8.Google Scholar
  2. 2.
    Eiken J, Böttger B, and Steinbach I, Phys Rev E 73 (2006) 066122.CrossRefGoogle Scholar
  3. 3.
    Carré A, Böttger B, and Apel M, Int J Mat Res 101 (2010) 510.CrossRefGoogle Scholar
  4. 4.
    MICRESS®, multicomponent multi-phase-field software, www.micress.de.
  5. 5.
    Eiken J, IOP Conf Ser Mater Sci Eng 33 (2012) 012105.CrossRefGoogle Scholar
  6. 6.
    Carré A, Böttger B, and Apel M, J Cryst Growth 380 (2013) 5.CrossRefGoogle Scholar
  7. 7.
    Thermo-Calc Software, http://www.thermocalc.com.
  8. 8.
    TCFe8, MobFe3, TCS Steels/Fe-Alloys Database, http://www.thermocalc.com.
  9. 9.
    Eiken J, and Lacaze J, SP17, Proceedings of the 6th International Conference on Solidification Processing SP17 (2017).Google Scholar

Copyright information

© The Indian Institute of Metals - IIM 2018

Authors and Affiliations

  1. 1.AccessAachenGermany

Personalised recommendations