A model for the austenite-ferrite phase transition in steel including misfit stress
- Dreyer, Wolfgang
- Hömberg, Dietmar
- 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.