A FFT-based mesoscale continuum dislocation mechanics with defect energy: Applications to composites and polycrystals

Berbenni, Stéphane; Taupin, Vincent Gilbert Andre; Lebensohn, Ricardo A.

doi:10.1016/j.euromechsol.2024.105548

Title: A FFT-based mesoscale continuum dislocation mechanics with defect energy: Applications to composites and polycrystals

Journal Article · 30 December 2024 · European Journal of Mechanics. A, Solids

DOI: https://doi.org/10.1016/j.euromechsol.2024.105548 · OSTI ID:2496661

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Universite de Lorraine (France); Centre National de la Recherche Scientifique (CNRS) (France)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

A crystal plasticity elastoviscoplastic FFT (fast Fourier transform) formulation with a mesoscale continuum field dislocation mechanics model is presented, which incorporates a defect energy density that depends on GND densities and an associated material length scale. This allows to thermodynamically derive internal length scale dependent intra-crystalline backstress and Peach–Koehler force acting on GND densities. The model considers GND density evolution through a filtered numerical spectral approach, which is coupled with stress equilibrium through the elastoviscoplastic FFT algorithm. The discrete Fourier transform (DFT) method together with finite difference (FD) schemes is applied to solve both the backstress tensor and the Fourier–Green operator. Numerical results are first reported for two-phase laminate composites with plastic single crystal channels and elastic precipitates for shear loadings. Channel size effects are simulated and analyzed on the overall and local hardening behaviors during monotonous loadings. In addition, the evolutions of GND densities and the role of their associated backstress on size effects are examined during reversible shear loading. In a second part, the role of the defect energy internal length scale on polycrystal’s hardening during tension–compression is discussed. The results are compared to those obtained using FFT-based continuum field dislocation mechanics without defect energy.

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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:: 2496661

Report Number(s):: LA-UR--24-29376

Journal Information:: European Journal of Mechanics. A, Solids, Journal Name: European Journal of Mechanics. A, Solids Vol. 111; ISSN 0997-7538

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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