Achieving geometric accuracy in FFT-based micromechanical models using conformal grid

Zecevic, Miroslav; Lebensohn, Ricardo A.; Capolungo, Laurent

doi:10.1016/j.mechmat.2025.105512

Achieving geometric accuracy in FFT-based micromechanical models using conformal grid

Journal Article · Wed Oct 01 04:00:00 EDT 2025 · Mechanics of Materials

DOI:https://doi.org/10.1016/j.mechmat.2025.105512· OSTI ID:2998247

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Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Owing to its efficiency, simplicity and robustness, the FFT-based method has become the standard for computation of mechanical fields in a heterogeneous periodic unit cell. One of the main disadvantages of the FFT-based method is the inaccurate representation of the initial microstructure on a regular grid of voxels, which can be alleviated through the use of distorted initial grids. Here, in this paper, a method for generation of distorted initial grids conforming to the microstructural features (e.g. straight/curved boundaries) is proposed. The method determines the positions of the grid nodes in the initial configuration by solving a system of springs connecting the nodes. Microstructures consisting of layers, Voronoi tessellation and circular/spherical inclusions are considered, and mechanical fields simulated using the FFT-based method. It is found that distorted initial grids, conforming to the microstructural features, lead to more accurate mechanical fields in comparison to the corresponding non-distorted initial grid solution. The effect of initial grid distortion on the convergence of the FFT-based method is analyzed and discussed.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Nuclear Energy (NE)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2998247

Report Number(s):: LA-UR--25-24361; 10.1016/j.mechmat.2025.105512

Journal Information:: Mechanics of Materials, Journal Name: Mechanics of Materials Vol. 212; ISSN 0167-6636

Publisher:: Elsevier BVCopyright Statement

Country of Publication:: United States

Language:: English

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Related Subjects

36 MATERIALS SCIENCE
Distorted conformal grid
FFT homgenization
FFT-based methods
Grid generation
Non-uniform grid

Achieving geometric accuracy in FFT-based micromechanical models using conformal grid

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