A crystal plasticity finite element model embedding strain-rate sensitivities inherent to deformation mechanisms: Application to alloy AZ31
Abstract
We report the fundamental power-law relationship representing the flow rule in crystal visco-plasticity ensures uniqueness in the selection of slip systems accommodating imposed plastic strain-rates. The power-law relationship also introduces an artificially high strain-rate sensitivity in crystal plasticity simulations, unless a high value of the power-law exponent is used. However, the use of high values for the exponent is limited by numerical tractability. This paper presents a numerical method implemented in a crystal plasticity finite element (CPFE) model for embedding any value of the power-law exponent reflecting the true material strain-rate sensitivity. Importantly, the method does not increase computation time involved in the simulations. The enhanced CPFE model is used to interpret and predict a complex strain-rate sensitive response and microstructural evolution of AZ31 Mg alloy. Measured values of strain-rate sensitivity for slip and twinning modes are used in the simulations. Calculations show that the model successfully captures the phenomena pertaining to the effect of changing applied strain-rate on the mechanical response including flow stress and evolution of texture and twinning for a broad range of strain-rates ranging from 10-3 s-1 to 103 s-1 and loading orientations in tension and compression. It is shown that such predictions are a consequencemore »
- Authors:
-
- University of New Hampshire, Durham, NH (United States)
- University of New Hampshire, Durham, NH (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1874185
- Report Number(s):
- LA-UR-21-24984
Journal ID: ISSN 0749-6419
- Grant/Contract Number:
- 89233218CNA000001; CMMI-1650641
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal of Plasticity
- Additional Journal Information:
- Journal Volume: 143; Journal ID: ISSN 0749-6419
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; microstructures; elastic-viscoplastic material; rate-dependent material; crystal plasticity; finite elements; T-CPFE UMAT
Citation Formats
Feather, William G., Savage, Daniel J., and Knezevic, Marko. A crystal plasticity finite element model embedding strain-rate sensitivities inherent to deformation mechanisms: Application to alloy AZ31. United States: N. p., 2021.
Web. doi:10.1016/j.ijplas.2021.103031.
Feather, William G., Savage, Daniel J., & Knezevic, Marko. A crystal plasticity finite element model embedding strain-rate sensitivities inherent to deformation mechanisms: Application to alloy AZ31. United States. https://doi.org/10.1016/j.ijplas.2021.103031
Feather, William G., Savage, Daniel J., and Knezevic, Marko. Fri .
"A crystal plasticity finite element model embedding strain-rate sensitivities inherent to deformation mechanisms: Application to alloy AZ31". United States. https://doi.org/10.1016/j.ijplas.2021.103031. https://www.osti.gov/servlets/purl/1874185.
@article{osti_1874185,
title = {A crystal plasticity finite element model embedding strain-rate sensitivities inherent to deformation mechanisms: Application to alloy AZ31},
author = {Feather, William G. and Savage, Daniel J. and Knezevic, Marko},
abstractNote = {We report the fundamental power-law relationship representing the flow rule in crystal visco-plasticity ensures uniqueness in the selection of slip systems accommodating imposed plastic strain-rates. The power-law relationship also introduces an artificially high strain-rate sensitivity in crystal plasticity simulations, unless a high value of the power-law exponent is used. However, the use of high values for the exponent is limited by numerical tractability. This paper presents a numerical method implemented in a crystal plasticity finite element (CPFE) model for embedding any value of the power-law exponent reflecting the true material strain-rate sensitivity. Importantly, the method does not increase computation time involved in the simulations. The enhanced CPFE model is used to interpret and predict a complex strain-rate sensitive response and microstructural evolution of AZ31 Mg alloy. Measured values of strain-rate sensitivity for slip and twinning modes are used in the simulations. Calculations show that the model successfully captures the phenomena pertaining to the effect of changing applied strain-rate on the mechanical response including flow stress and evolution of texture and twinning for a broad range of strain-rates ranging from 10-3 s-1 to 103 s-1 and loading orientations in tension and compression. It is shown that such predictions are a consequence of not only relative amounts of slip and twinning activities driven by a set of accurately characterized hardening law parameters but also values of the strain-rate sensitivities inherent to individual deformation mechanisms. Besides, the model validates the measured strain-rate dependency of deformation mechanisms while accurately reproducing the mechanical data. Hence, the model can be used to verify and further refine or infer measured strain-rate sensitivity per deformation mechanism by reproducing experimental data.},
doi = {10.1016/j.ijplas.2021.103031},
journal = {International Journal of Plasticity},
number = ,
volume = 143,
place = {United States},
year = {Fri May 21 00:00:00 EDT 2021},
month = {Fri May 21 00:00:00 EDT 2021}
}
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