G. Funk et al., A COUPLED FDM FEM MODEL FOR THE CONTINUOUS-CASTING PROCESS/, International journal of computer applications in technology, 7(3-6), 1994, pp. 214-228
A coupled mathematical model has been developed to investigate the sol
idification and further cooling, and the formation of thermal stresses
, which cause quality defects like internal or surface cracks. The aim
is to get a better understanding of the continuous casting process in
order to contribute to an increase in productivity while keeping a re
quired quality level, or improving product quality. For the simulation
of mass transport, solidification and/or remelting, and heat transfer
, a finite difference method is applied; for the calculation of the th
ermo-mechanical stresses and strains the ADINA program is used. Becaus
e the strand shrinkage within the mould determines the temperature fie
ld via the cooling conditions, both thermal and stress analysis have t
o be coupled to consider feedback. Emphasis is placed on the highly no
nlinear material behaviour at temperatures near the solidification tem
perature as well as on the three-dimensional and transient contact bet
ween strand and mould. The reliability of the solutions depends on the
discretization and element configuration chosen. Depending on the pro
blem formulation a relatively simple plane strain formulation or a ful
ly 3D stress formulation is used. The alternative possibilities of dif
ferent grids and/or different material models are discussed with respe
ct to accuracy and CPU-time.