Abstract
The phase-field method is an attractive tool in modeling microstructural evolution due to rapid solidification under additive manufacturing conditions, but typical polycrystalline models are prone to grain coalescence. Grain tracking and remapping schemes can eliminate artificial coalescence and increase the number of grains and crystallographic orientations that may be considered in a simulation, but previous tracking and remapping schemes may not efficiently capture the complex grain morphologies that form during additive manufacturing. A new recursive scheme is derived from a binary tree of axis-aligned bounding boxes that can efficiently represent columnar and irregularly shaped grains. We demonstrate the power of this approach by simulating microstructures with hundreds to thousands of grains and quantify the reduction in the number of order parameters required to represent the microstructure. The new scheme leads to orders of magnitude fewer computational resources as compared to the naïve paradigm of one grain per order parameter, and also offers a substantial improvement over algorithms derived from bounding spheres.
Original language | English (US) |
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Pages (from-to) | 3093-3110 |
Number of pages | 18 |
Journal | International Journal for Numerical Methods in Engineering |
Volume | 123 |
Issue number | 13 |
DOIs | |
State | Published - Jul 15 2022 |
Funding
This work is based on research sponsored by the Office of Naval Research (ONR) under project number N00014-18-1-2782 P00002. This research was also supported in part through the computational resources and staff contributions provided for the Quest high performance computing facility at Northwestern University, which is jointly supported by the Office of the Provost, the Office for Research, and Northwestern University Information Technology. The authors thank Dr. David Rowenhorst and Dr. Kirubel Teferra at the United States Naval Research Laboratory for suggestions on improving the quaternion sampling scheme and for providing the IPF coloring routines. This work is based on research sponsored by the Office of Naval Research (ONR) under project number N00014‐18‐1‐2782 P00002. This research was also supported in part through the computational resources and staff contributions provided for the Quest high performance computing facility at Northwestern University, which is jointly supported by the Office of the Provost, the Office for Research, and Northwestern University Information Technology.
Keywords
- additive manufacturing
- finite difference method
- materials science
- phase-field method
ASJC Scopus subject areas
- Numerical Analysis
- General Engineering
- Applied Mathematics