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Title: Three-dimensional Dendritic Needle Network model with application to Al-Cu directional solidification experiments

We present a three-dimensional (3D) extension of a previously proposed multi-scale Dendritic Needle Network (DNN) approach for the growth of complex dendritic microstructures. Using a new formulation of the DNN dynamics equations for dendritic paraboloid-branches of a given thickness, one can directly extend the DNN approach to 3D modeling. We validate this new formulation against known scaling laws and analytical solutions that describe the early transient and steady-state growth regimes, respectively. Finally, we compare the predictions of the model to in situ X-ray imaging of Al-Cu alloy solidification experiments. The comparison shows a very good quantitative agreement between 3D simulations and thin sample experiments. It also highlights the importance of full 3D modeling to accurately predict the primary dendrite arm spacing that is significantly over-estimated by 2D simulations.
 [1] ;  [2] ;  [3] ;  [3] ;  [3]
  1. Northeastern Univ., Boston, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Northeastern Univ., Boston, MA (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
Journal ID: ISSN 1757-8981
Grant/Contract Number:
Accepted Manuscript
Journal Name:
IOP Conference Series. Materials Science and Engineering
Additional Journal Information:
Journal Volume: 84; Conference: Modeling of Casting, Welding and Advanced Solidification Processes (MCWASP XIV), June 21-26, 2015; Awaji island, Hyogo, Japan; Journal ID: ISSN 1757-8981
IOP Publishing
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
Country of Publication:
United States
36 MATERIALS SCIENCE; solidification; modeling; crystal growth; X-ray radiography
OSTI Identifier: