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Direct Modeling of Structure Formation

Abstract : Modeling of Structure Formation in casting of alloys involves several length scales, ranging from the atomic level (10 10-10 9 m) to the casting dimensions, i.e. the macroscopic scale, (10 2-1 m). Intermediate length scales are used to define the microstructure of the growing phases (i.e., 10 7-10 4 m, e.g., dendritic or eutectic patterns) and the grain structure (i.e., 10 4-10 2 m, e.g., equiaxed and columnar grains). This article concentrates on these intermediate length scales, where transport phenomena govern the spatial and temporal evolution of the structure. To calculate this evolution, conservation equations are written for each individual phase (liquid or solid), with the most challenging aspect being the treatment of the interfaces between phases and the nonequilibrium condition of the liquid metal during the solidification state.
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Submitted on : Monday, August 8, 2011 - 4:35:43 PM
Last modification on : Wednesday, November 17, 2021 - 12:28:04 PM


  • HAL Id : hal-00614021, version 1


Charles-André Gandin, Ingo Steinbach. Direct Modeling of Structure Formation. prepared under the direction of the ASM International Handbook Committee. ASM Handbook Volume 15, Casting, ASM International, pp.Pages 435-444, 2008, 978-0-87170-711-6. ⟨hal-00614021⟩



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