A finite element formulation for deformation twinning induced strain localization in polycrystal magnesium alloys
Abstract
Deformation twinning induces shear strain localization in hexagonal close-packed crystals and is critical for the material’s ductility and failure. Cracks often occur at twin-twin or twin-grain boundary intersections and propagate along twin bands. However, most crystal plasticity models for deformation twinning are based on a “pseudo-slip” approach and do not capture the localized deformation associated with the formation of each discrete twin band. The few exceptions are discrete twin models that involve very complex numerical algorithms and are often compromised in accuracy due to the numerical convergence. These factors make the discrete twin models hard to adopt. This paper proposes a modification to the conventional finite element weak form, to fully incorporate a twin-induced heterogeneous deformation that does not depend on the “pseudo-slip” assumption. The model starts by splitting the deformation gradient into elastic-slip-twinning components. The twin-induced deformation gradient component is computed separately by solving a microstructural evolution problem and then implemented into finite element weak form by constructing a global “twin-force” vector. The constitutive update (e.g., in the user-defined material subroutine, or UMAT, for ABAQUS) therefore avoids dealing with the twinning and recovers to the form of a regular slip-based crystal plasticity model. The results presented here indicate thatmore »
- Authors:
-
[1];
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Korea Inst. of Materials Science (KIMS), Gyeongnam (Korea, Republic of)
- Johns Hopkins Univ., Baltimore, MD (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1764493
- Alternate Identifier(s):
- OSTI ID: 1778366
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Computational Materials Science
- Additional Journal Information:
- Journal Volume: 190; Journal Issue: 1; Journal ID: ISSN 0927-0256
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; discrete deformation twins; finite element model; crystal plasticity; synchrotron X-ray diffraction
Citation Formats
Cheng, Jiahao, Hu, Xiaohua, Bong, Hyuk Jong, Ghosh, Somnath, and Sun, Xin. A finite element formulation for deformation twinning induced strain localization in polycrystal magnesium alloys. United States: N. p., 2021.
Web. doi:10.1016/j.commatsci.2021.110323.
Cheng, Jiahao, Hu, Xiaohua, Bong, Hyuk Jong, Ghosh, Somnath, & Sun, Xin. A finite element formulation for deformation twinning induced strain localization in polycrystal magnesium alloys. United States. https://doi.org/10.1016/j.commatsci.2021.110323
Cheng, Jiahao, Hu, Xiaohua, Bong, Hyuk Jong, Ghosh, Somnath, and Sun, Xin. Mon .
"A finite element formulation for deformation twinning induced strain localization in polycrystal magnesium alloys". United States. https://doi.org/10.1016/j.commatsci.2021.110323. https://www.osti.gov/servlets/purl/1764493.
@article{osti_1764493,
title = {A finite element formulation for deformation twinning induced strain localization in polycrystal magnesium alloys},
author = {Cheng, Jiahao and Hu, Xiaohua and Bong, Hyuk Jong and Ghosh, Somnath and Sun, Xin},
abstractNote = {Deformation twinning induces shear strain localization in hexagonal close-packed crystals and is critical for the material’s ductility and failure. Cracks often occur at twin-twin or twin-grain boundary intersections and propagate along twin bands. However, most crystal plasticity models for deformation twinning are based on a “pseudo-slip” approach and do not capture the localized deformation associated with the formation of each discrete twin band. The few exceptions are discrete twin models that involve very complex numerical algorithms and are often compromised in accuracy due to the numerical convergence. These factors make the discrete twin models hard to adopt. This paper proposes a modification to the conventional finite element weak form, to fully incorporate a twin-induced heterogeneous deformation that does not depend on the “pseudo-slip” assumption. The model starts by splitting the deformation gradient into elastic-slip-twinning components. The twin-induced deformation gradient component is computed separately by solving a microstructural evolution problem and then implemented into finite element weak form by constructing a global “twin-force” vector. The constitutive update (e.g., in the user-defined material subroutine, or UMAT, for ABAQUS) therefore avoids dealing with the twinning and recovers to the form of a regular slip-based crystal plasticity model. The results presented here indicate that the twin-induced strain localization and the associated stress-reversal phenomena near the twin band were naturally captured in the model, which was validated against an in-situ synchrotron X-ray micro-diffraction experiment.},
doi = {10.1016/j.commatsci.2021.110323},
journal = {Computational Materials Science},
number = 1,
volume = 190,
place = {United States},
year = {Mon Feb 01 00:00:00 EST 2021},
month = {Mon Feb 01 00:00:00 EST 2021}
}
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