Extended FFT-based micromechanical formulation to consider general non-periodic boundary conditions

Zecevic, Miroslav; Lebensohn, Ricardo A.

doi:10.1016/j.ijsolstr.2025.113225

Title: Extended FFT-based micromechanical formulation to consider general non-periodic boundary conditions

Journal Article · 12 January 2025 · International Journal of Solids and Structures

DOI: https://doi.org/10.1016/j.ijsolstr.2025.113225 · OSTI ID:2500869

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

Here, this paper presents a new approach for applying non-periodic boundary conditions in the context of FFT-based methods to solve micromechanical problems in heterogeneous solids. The domain of the original problem is extended to satisfy the periodicity requirements at the boundary of the extended domain. The velocity constraint on the boundary of the original domain is replaced by a corresponding constraint on the velocity gradient in the extended volume, and a two-level augmented Lagrangian method is used to enforce the constraint. The proposed method is implemented as an extension of the large-strain elasto-viscoplastic FFT-based (LS-EVPFFT) model of Zecevic et al. (2022). The proposed method is verified in the cases of fully imposed velocity boundary conditions and mixed velocity/traction-free boundary conditions. The accuracy and convergence of the method are studied next, followed by applications to bending and indentation of polycrystals that illustrate the extended capabilities of the proposed formulation.

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

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2500869

Report Number(s):: LA-UR--24-29312

Journal Information:: International Journal of Solids and Structures, Journal Name: International Journal of Solids and Structures Vol. 311; ISSN 0020-7683

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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36 MATERIALS SCIENCE
Bending
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FFT-based methods
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Micromechanics
Non-periodic boundary conditions
Polycrystalline materials

Title: Extended FFT-based micromechanical formulation to consider general non-periodic boundary conditions

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