A fully coupled 2D model of equiaxed eutectic solidification

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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 ... continued below

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9 p.

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Charbon, Ch. & LeSar, R. December 31, 1995.

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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.

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9 p.

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OSTI as DE96007173

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  • 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

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  • Other: DE96007173
  • Report No.: LA-UR--96-0139
  • Report No.: CONF-951202--2
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 206440
  • Archival Resource Key: ark:/67531/metadc667045

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  • December 31, 1995

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  • June 29, 2015, 9:42 p.m.

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  • Feb. 25, 2016, 5:54 p.m.

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Charbon, Ch. & LeSar, R. A fully coupled 2D model of equiaxed eutectic solidification, article, December 31, 1995; New Mexico. (https://digital.library.unt.edu/ark:/67531/metadc667045/: accessed April 20, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.