A fully coupled 2D model of equiaxed eutectic solidification
Charbon, Ch.
LeSar, R.
United States. Department of Energy.
Los Alamos National Laboratory
1995-12-31
English
We propose a model of equiaxed eutectic solidification that couples the macroscopic level of heat diffusion with the microscopic level of nucleation and growth of the eutectic grains. The heat equation with the source term corresponding to the latent heat release due to solidification is calculated numerically by means of an implicit finite difference method. In the time stepping scheme, the evolution of solid fraction is deduced from a stochastic model of nucleation and growth which uses the local temperature (interpolated from the FDM mesh) to determine the local grain density and the local growth rate. The solid-liquid interface of each grain is tracked by using a subdivision of each grain perimeter in a large number of sectors. The state of each sector (i.e. whether it is still in contact with the liquid or already captured by an other grain) and the increase of radius of each grain during one time step allows one to compute the increase of solid fraction. As for deterministic models, the results of the model are the evolution of temperature and of solid fraction at any point of the sample. Moreover the model provides a complete picture of the microstructure, thus not limiting the microstructural information to the average grain density but allowing one to compute any stereological value of interest. We apply the model to the solidification of gray cast iron.
36 Materials Science
Two-Dimensional Calculations
Cast Iron
Grain Size
Eutectics
Microstructure
Solidification
Fall annual meeting of the Japan Institute of Metals: advanced materials and technology for the 21st century, Honolulu, HI (United States), 13-15 Dec 1995
Article
9 p.
Text
other: DE96007173
rep-no: LA-UR--96-0139
rep-no: CONF-951202--2
grantno: W-7405-ENG-36
osti: 206440
https://digital.library.unt.edu/ark:/67531/metadc667045/
ark: ark:/67531/metadc667045