Numerical implementation of non-local polycrystal plasticity using fast Fourier transforms
Abstract
Here, we present the numerical implementation of a non-local polycrystal plasticity theory using the FFT-based formulation of Suquet and co-workers. Gurtin (2002) non-local formulation, with geometry changes neglected, has been incorporated in the EVP-FFT algorithm of Lebensohn et al. (2012). Numerical procedures for the accurate estimation of higher order derivatives of micromechanical fields, required for feedback into single crystal constitutive relations, are identified and applied. A simple case of a periodic laminate made of two fcc crystals with different plastic properties is first used to assess the soundness and numerical stability of the proposed algorithm and to study the influence of different model parameters on the predictions of the non-local model. Different behaviors at grain boundaries are explored, and the one consistent with the micro-clamped condition gives the most pronounced size effect. The formulation is applied next to 3-D fcc polycrystals, illustrating the possibilities offered by the proposed numerical scheme to analyze the mechanical response of polycrystalline aggregates in three dimensions accounting for size dependence arising from plastic strain gradients with reasonable computing times.
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Texas A & M Univ., College Station, TX (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1324569
- Report Number(s):
- LA-UR-15-25214
Journal ID: ISSN 0022-5096
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of the Mechanics and Physics of Solids
- Additional Journal Information:
- Journal Name: Journal of the Mechanics and Physics of Solids; Journal ID: ISSN 0022-5096
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; crystal plasticity; non-local plasticity; polycrystalline material; spectral methods; numerical algorithms
Citation Formats
Lebensohn, Ricardo A., and Needleman, Alan. Numerical implementation of non-local polycrystal plasticity using fast Fourier transforms. United States: N. p., 2016.
Web. doi:10.1016/j.jmps.2016.03.023.
Lebensohn, Ricardo A., & Needleman, Alan. Numerical implementation of non-local polycrystal plasticity using fast Fourier transforms. United States. https://doi.org/10.1016/j.jmps.2016.03.023
Lebensohn, Ricardo A., and Needleman, Alan. Mon .
"Numerical implementation of non-local polycrystal plasticity using fast Fourier transforms". United States. https://doi.org/10.1016/j.jmps.2016.03.023. https://www.osti.gov/servlets/purl/1324569.
@article{osti_1324569,
title = {Numerical implementation of non-local polycrystal plasticity using fast Fourier transforms},
author = {Lebensohn, Ricardo A. and Needleman, Alan},
abstractNote = {Here, we present the numerical implementation of a non-local polycrystal plasticity theory using the FFT-based formulation of Suquet and co-workers. Gurtin (2002) non-local formulation, with geometry changes neglected, has been incorporated in the EVP-FFT algorithm of Lebensohn et al. (2012). Numerical procedures for the accurate estimation of higher order derivatives of micromechanical fields, required for feedback into single crystal constitutive relations, are identified and applied. A simple case of a periodic laminate made of two fcc crystals with different plastic properties is first used to assess the soundness and numerical stability of the proposed algorithm and to study the influence of different model parameters on the predictions of the non-local model. Different behaviors at grain boundaries are explored, and the one consistent with the micro-clamped condition gives the most pronounced size effect. The formulation is applied next to 3-D fcc polycrystals, illustrating the possibilities offered by the proposed numerical scheme to analyze the mechanical response of polycrystalline aggregates in three dimensions accounting for size dependence arising from plastic strain gradients with reasonable computing times.},
doi = {10.1016/j.jmps.2016.03.023},
journal = {Journal of the Mechanics and Physics of Solids},
number = ,
volume = ,
place = {United States},
year = {Mon Mar 28 00:00:00 EDT 2016},
month = {Mon Mar 28 00:00:00 EDT 2016}
}
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