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Title: Grain growth competition during thin-sample directional solidification of dendritic microstructures: A phase-field study

We present the results of a comprehensive phase-field study of columnar grain growth competition in bi-crystalline samples in two dimensions (2D) and in three dimensions (3D) for small sample thicknesses allowing a single row of dendrites to form. We focus on the selection of grain boundary (GB) orientation during directional solidification in the steady-state dendritic regime, and study its dependence upon the orientation of two competing grains. In 2D, we map the entire orientation range for both grains, performing several simulations for each configuration to account for the stochasticity of GB orientation selection and to assess the average GB behavior. We find that GB orientation selection depends strongly on whether the primary dendrite growth directions have lateral components (i.e. components perpendicular to the axis of the temperature gradient) that point in the same or opposite directions in the two grains. Here, we identify a range of grain orientations in which grain selection follows the classical description of Walton and Chalmers. We also identify conditions that favor unusual overgrowth of favorably-oriented dendrites at a converging GB. We propose a simple analytical description that reproduces the average GB orientation selection from 2D simulations within statistical fluctuations of a few degrees. In 3D,more » we find a similar GB orientation selection as in 2D when secondary branches grow in planes parallel and perpendicular to the sample walls. Remarkably, quasi-2D behavior is also observed even when those perpendicular sidebranching planes are rotated by a finite azimuthal angle about the primary dendrite growth axis as long as the absolute values of those azimuthal angles are equal in both grains. In contrast, when the absolute values of those azimuthal angles differ markedly, we find that unusual overgrowth events at a converging GB are promoted by a high azimuthal angle in the least-favorably-oriented grain. We also find that diverging GBs can be strongly affected by those azimuthal angles, while converging GBs exhibit a weak dependence on those angles. Finally, for diverging GBs, GB orientation is also strongly affected by the relative signs of the lateral components of the primary dendrite growth directions in both grains.« less
ORCiD logo [1] ;  [2] ;  [3] ;  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Northeastern Univ., Boston, MA (United States). Dept. of Physics and Center for Interdisciplinary Research on Complex Systems
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Colorado School of Mines, Golden, CO (United States). George S. Ansell Dept. of Metallurgical and Materials Engineering
Publication Date:
Report Number(s):
Journal ID: ISSN 1359-6454
Grant/Contract Number:
AC52-06NA25396; NNX16AB54G
Accepted Manuscript
Journal Name:
Acta Materialia
Additional Journal Information:
Journal Volume: 122; Journal Issue: C; Journal ID: ISSN 1359-6454
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Aeronautic and Space Administration (NASA)
Country of Publication:
United States
36 MATERIALS SCIENCE; Microstructure selection; Dendritic growth; Directional solidification; Phase-field method
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1397756