摘要 |
The temperature (T) of a metal ( 1 ) can be influenced directly or indirectly by at least one actuator ( 2 ) which is actuated in accordance with a control variable (S). The control variable (S) and starting values (T<SUB>A</SUB>, p 1 <SUB>A</SUB>, p 2 <SUB>A</SUB>) for a temperature of the metal ( 1 ) and phase proportions in which the metal ( 1 ) is at least in a first phase or a second phase, respectively, are predetermined for a material model ( 5 ). A heat conduction equation and a transformation equation are solved in real time within the material model ( 5 ), taking account of these variables (T<SUB>A</SUB>, p 1 <SUB>A</SUB>, p 2 <SUB>A</SUB>) , and in this way expected values (T<SUB>E</SUB>, p 1 <SUB>E</SUB>, p 2 <SUB>E</SUB>) are determined for these variables. As part of the transformation equation, the Gibbs' free energies (G 1 , G 2 ) of the phases of the metal ( 1 ) are determined, a transformation rate of the metal ( 1 ) from the first phase to the second phase is determined therefrom, and the expected proportions (p 1 <SUB>E</SUB>, p 2 <SUB>E</SUB>) are determined from the latter. |