The heat treatment of steel --- A mathematical control problem
- Hömberg, Dietmar
- Kern, Daniela
2010 Mathematics Subject Classification
- 74P10 80A20 93C20
- Laser surface hardening, optimal control, pyrometer control
The goal of this paper is to show how the heat treatment of steel can be modelled in terms of a mathematical optimal control problem. The approach is applied to laser surface hardening and the cooling of a steel slab including mechanical effects. Finally, it is shown how the results can be utilized in industrial practice by a coupling with machine-based control.
- Materialwiss. Werkstofftech., 40 (2009) pp. 438--442.