Quantitative study of the effect of grain boundary parameters on the slip system level Hall-Petch slope for basal slip system in Mg-4Al
Abstract
Several theoretical studies have reported that the geometry and structure of grain boundaries in polycrystalline materials could impose a significant effect on the Hall-Petch slope. However, experimental observations are primarily limited by the ability of the techniques to accurately quantify the grain boundary strength and validate these theoretical models. Using high-resolution electron backscatter diffraction (HR-EBSD), the local stress tensor ahead of a slip band blocked by a grain boundary was quantified and coupled with a continuum dislocation pile-up model to assess the barrier strength of specific grain boundaries to specific slip systems, referred to as micro-Hall-Petch coefficient. For basal slip system in a deformed Mg-4Al alloy, the micro-Hall-Petch coefficient ($$k^{basal}_{μ}$$) varied significantly, from 0.054 to 0.184 MPa - m1/2 for nine different grain boundaries. These results were correlated with geometric descriptors of the respective grain boundaries, with three-dimensional GB profile additionally measured via focused ion beam milling. It was found that the angle between the two slip plane traces on the grain boundary plane was the most sensitive parameter affecting $$k^{basal}_{μ}$$, followed by the angle between the slip directions. A functional form for calculation of $$k^{basal}_{μ}$$ depending on these two angles is proposed to augment crystal plasticity constitutive models with slip resistance dependent on some measure of the grain size. The method allows a new pathway to calibrate grain size strengthening parameters in crystal plasticity models, allowing further computational investigations of the interrelationship between texture, grain morphology, and the Hall Petch effect.
- Authors:
-
[2];
- Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Mechanical Engineering; Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Materials Science and Engineering
- Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Aerospace Engineering
- Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Materials Science and Engineering; Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Aerospace Engineering
- Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Materials Science and Engineering
- Publication Date:
- Research Org.:
- Univ. of Michigan, Ann Arbor, MI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; USDOE
- OSTI Identifier:
- 1851115
- Alternate Identifier(s):
- OSTI ID: 1659539
- Grant/Contract Number:
- SC0008637
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Acta Materialia
- Additional Journal Information:
- Journal Volume: 200; Journal Issue: C; Journal ID: ISSN 1359-6454
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 42 ENGINEERING; Materials science; Metallurgy & metallurgical engineering; Mg alloy; Electron backscattering diffraction (EBSD); Micro-hall–petch coefficient; Grain Boundary; Crystal Plasticity
Citation Formats
Andani, Mohsen Taheri, Lakshmanan, Aaditya, Sundararaghavan, Veera, Allison, John, and Misra, Amit. Quantitative study of the effect of grain boundary parameters on the slip system level Hall-Petch slope for basal slip system in Mg-4Al. United States: N. p., 2020.
Web. doi:10.1016/j.actamat.2020.08.079.
Andani, Mohsen Taheri, Lakshmanan, Aaditya, Sundararaghavan, Veera, Allison, John, & Misra, Amit. Quantitative study of the effect of grain boundary parameters on the slip system level Hall-Petch slope for basal slip system in Mg-4Al. United States. https://doi.org/10.1016/j.actamat.2020.08.079
Andani, Mohsen Taheri, Lakshmanan, Aaditya, Sundararaghavan, Veera, Allison, John, and Misra, Amit. Sun .
"Quantitative study of the effect of grain boundary parameters on the slip system level Hall-Petch slope for basal slip system in Mg-4Al". United States. https://doi.org/10.1016/j.actamat.2020.08.079. https://www.osti.gov/servlets/purl/1851115.
@article{osti_1851115,
title = {Quantitative study of the effect of grain boundary parameters on the slip system level Hall-Petch slope for basal slip system in Mg-4Al},
author = {Andani, Mohsen Taheri and Lakshmanan, Aaditya and Sundararaghavan, Veera and Allison, John and Misra, Amit},
abstractNote = {Several theoretical studies have reported that the geometry and structure of grain boundaries in polycrystalline materials could impose a significant effect on the Hall-Petch slope. However, experimental observations are primarily limited by the ability of the techniques to accurately quantify the grain boundary strength and validate these theoretical models. Using high-resolution electron backscatter diffraction (HR-EBSD), the local stress tensor ahead of a slip band blocked by a grain boundary was quantified and coupled with a continuum dislocation pile-up model to assess the barrier strength of specific grain boundaries to specific slip systems, referred to as micro-Hall-Petch coefficient. For basal slip system in a deformed Mg-4Al alloy, the micro-Hall-Petch coefficient ($k^{basal}_{μ}$) varied significantly, from 0.054 to 0.184 MPa - m1/2 for nine different grain boundaries. These results were correlated with geometric descriptors of the respective grain boundaries, with three-dimensional GB profile additionally measured via focused ion beam milling. It was found that the angle between the two slip plane traces on the grain boundary plane was the most sensitive parameter affecting $k^{basal}_{μ}$, followed by the angle between the slip directions. A functional form for calculation of $k^{basal}_{μ}$ depending on these two angles is proposed to augment crystal plasticity constitutive models with slip resistance dependent on some measure of the grain size. The method allows a new pathway to calibrate grain size strengthening parameters in crystal plasticity models, allowing further computational investigations of the interrelationship between texture, grain morphology, and the Hall Petch effect.},
doi = {10.1016/j.actamat.2020.08.079},
journal = {Acta Materialia},
number = C,
volume = 200,
place = {United States},
year = {Sun Nov 01 00:00:00 EDT 2020},
month = {Sun Nov 01 00:00:00 EDT 2020}
}
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