Analytical and numerical predictions of dendritic grain envelopes

Journal Article · Thu Aug 01 04:00:00 EDT 1996 · Acta Materialia

DOI:https://doi.org/10.1016/1359-6454(95)00433-5· OSTI ID:367340

Gandin, C A; Rappaz, M ^[1]; Schaefer, R J ^[2]

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1. Ecole Polytechnique Federale de Lausanne (Switzerland). Lab. de Metallurgie Physique
2. National Inst. for Standards and Technology, Gaithersburg, MD (United States)

An analytical model is developed for the prediction of the shape of dendritic grain envelopes during solidification of a metallic alloy in a Bridgman configuration (i.e., constant thermal gradient and cooling rate). The assumptions built into the model allow a direct comparison of the results with those obtained from a previously developed cellular automation-finite element (CAFE) model. After this comparison, the CAFE model is applied to the study of the extension of a single grain into an open region of liquid after passing a re-entrant corner. The simulation results are compared with experimental observations made on a directionally solidified succinonitrile-acetone alloy. Good agreement is found for the shape of the grain envelopes when varying the orientation of the primary dendrites with respect to the thermal gradient direction, the velocity of the isotherms or the thermal gradient.

• OSTI ID: 367340
• Journal Information: Acta Materialia, Journal Name: Acta Materialia Journal Issue: 8 Vol. 44; ISSN XZ504Y; ISSN 1359-6454
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
ACETONE
BRIDGMAN METHOD
COOLING
CORRELATIONS
DENDRITES
FINITE ELEMENT METHOD
GRAIN GROWTH
MATHEMATICAL MODELS
METALS
NITRILES
ORIENTATION
PREDICTION EQUATIONS
SIMULATION
SOLIDIFICATION
SUCCINIC ACID
TEMPERATURE GRADIENTS