WIAS Preprint No. 1310, (2008)

A model for the austenite-ferrite phase transition in steel including misfit stress


  • Dreyer, Wolfgang
  • Hömberg, Dietmar
    ORCID: 0000-0001-9460-5729
  • Petzold, Thomas

2010 Mathematics Subject Classification

  • 74-99 74N05 74N25


  • steel, ferrite-austenite phase transition, elasticity, diffusion, misfit, free boundaries, kinetic boundary conditions, diffusion controlled boundary conditions




We present a thermodynamically consistent model to describe the austenite-ferrite phase transition in steel. We consider the influence of the mechanical displacement field due to eigenstrains caused by volumetric expansion. The model equations are derived in a systematical framework. They are based on the conservation laws for mass and momentum and the second law of thermodynamics. By means of numerical computations for a simplified interface controlled model, we examine the influence of the mechanical contributions to the transformation kinetics and the equilibrium states.

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