Irreversible phase transitions in steel
- Hömberg, Dietmar
2010 Mathematics Subject Classification
- 35Q72 35R35 35K55 80A22
- mathematical model, phase changes in carbon steel, existence, numerical simulations
We present a mathematical model for the austenite-pearlite and austenite- martensite phase transitions in eutectoid carbon steel. The austenite-pearlite phase change is described by the Additivity Rule. For the austenite-martensite phase change we propose a new rate law, which takes into account its irreversibility. We investigate questions of existence and uniqueness for the three-dimensional model and finally present numerical calculations of a continous cooling transformation diagram for the eutectoid carbon steel C1080.
- Math. Methods Appl. Sci., 20 (1997) pp. 59--77