Journal of Theoretical
and Applied Mechanics

46, 2, pp. 257-268, Warsaw 2008

Identification of substitute thermal capacity of solidifying alloy

Ewa Majchrzak, Bohdan Mochnacki, Józef S. Suchy
In the paper, the problem of identification of substitute thermal capacity $ C(T)$ is discussed. This parameter appears in the case of modelling of the solidification process on the basis of one domain approach (fixed domain method). Substitute thermal capacity (STC) can be approximated, among others, by a staircase function and this case is considered. So, it is assumed that in the mathematical model describing thermal processes in the system considered the parameters of STC are unknown. On the basis of additional information concerning the cooling (heating) curves at a selected set of points, the unknown parameters can be found. The inverse problem is solved by using the least squares criterion, in which the sensitivity coefficients are applied. On the stage of numerical simulation, the boundary element method is used. In the final part of the paper, examples of computations are shown.
Keywords: casting solidification; inverse problem; numerical methods