Estimation of micro-Hall-Petch coefficients for prismatic slip system in Mg-4Al as a function of grain boundary parameters
Abstract
Grain size strengthening, referred to as the Hall-Petch effect, is a common strategy to improve the yield strength of magnesium (Mg) alloys. Several experimental studies have reported that the Hall-Petch slope strongly depends on the texture of the alloy. This effect arises from altering grain boundaries (GBs) resistance to different slip systems to transfer across adjacent grains. The grain boundary barrier strength of certain grain boundaries to basal slip, referred to as basal micro-Hall-Petch, was investigated in the previous work. Here in this study, the micro-Hall-Petch coefficient values for the prismatic slip $$(k^{prismatic}_{μ})$$ in Mg-4Al and their correlation with the grain boundary parameters were investigated. An experimental method was developed to initiate the prismatic slip band at low-stress levels. High-resolution electron backscatter diffraction (HR-EBSD) was used to measure the residual stress tensor, from which the resolved shear stress ahead of blocked prismatic slip bands was computed for seven different grain boundaries. $$(k^{prismatic}_{μ})$$ values for each individual GB were calculated by coupling the stress profile information with a continuum dislocation pile-up model. The $$(k^{prismatic}_{μ})$$ values vary from 0.138 MPa.m1/2 to 0.685 MPa. m1/2 which are almost three times larger than the calculated values for the basal micro-Hall-Petch. The $$(k^{prismatic}_{μ})$$ values were correlated with the GB parameters, and a functional relationship depending on the two most effective angles, the angle between the traces of the slip planes on the GB plane ($$\phi$$) and the angle between incoming and outgoing slip directions (κ), was proposed to estimate the Hall-Petch barrier for prismatic slip system. The work provides coefficients that can be supplied as input to crystal plasticity models to couple the effect of texture and grain size effectively.
- Authors:
-
- University of Michigan, Ann Arbor, MI (United States)
- 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 (MSE); USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1976782
- Alternate Identifier(s):
- OSTI ID: 1839305
- Grant/Contract Number:
- SC0008637; -SC0008637
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Acta Materialia
- Additional Journal Information:
- Journal Volume: 226; Journal Issue: C; Journal ID: ISSN 1359-6454
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 42 ENGINEERING; micro-Hall–Petch coefficient; prismatic slip system; crystal plasticity; high resolution-electron backscattering diffraction; HR-EBSD
Citation Formats
Andani, Mohsen Taheri, Lakshmanan, Aaditya, Sundararaghavan, Veera, Allison, John, and Misra, Amit. Estimation of micro-Hall-Petch coefficients for prismatic slip system in Mg-4Al as a function of grain boundary parameters. United States: N. p., 2021.
Web. doi:10.1016/j.actamat.2021.117613.
Andani, Mohsen Taheri, Lakshmanan, Aaditya, Sundararaghavan, Veera, Allison, John, & Misra, Amit. Estimation of micro-Hall-Petch coefficients for prismatic slip system in Mg-4Al as a function of grain boundary parameters. United States. https://doi.org/10.1016/j.actamat.2021.117613
Andani, Mohsen Taheri, Lakshmanan, Aaditya, Sundararaghavan, Veera, Allison, John, and Misra, Amit. Fri .
"Estimation of micro-Hall-Petch coefficients for prismatic slip system in Mg-4Al as a function of grain boundary parameters". United States. https://doi.org/10.1016/j.actamat.2021.117613. https://www.osti.gov/servlets/purl/1976782.
@article{osti_1976782,
title = {Estimation of micro-Hall-Petch coefficients for prismatic slip system in Mg-4Al as a function of grain boundary parameters},
author = {Andani, Mohsen Taheri and Lakshmanan, Aaditya and Sundararaghavan, Veera and Allison, John and Misra, Amit},
abstractNote = {Grain size strengthening, referred to as the Hall-Petch effect, is a common strategy to improve the yield strength of magnesium (Mg) alloys. Several experimental studies have reported that the Hall-Petch slope strongly depends on the texture of the alloy. This effect arises from altering grain boundaries (GBs) resistance to different slip systems to transfer across adjacent grains. The grain boundary barrier strength of certain grain boundaries to basal slip, referred to as basal micro-Hall-Petch, was investigated in the previous work. Here in this study, the micro-Hall-Petch coefficient values for the prismatic slip $(k^{prismatic}_{μ})$ in Mg-4Al and their correlation with the grain boundary parameters were investigated. An experimental method was developed to initiate the prismatic slip band at low-stress levels. High-resolution electron backscatter diffraction (HR-EBSD) was used to measure the residual stress tensor, from which the resolved shear stress ahead of blocked prismatic slip bands was computed for seven different grain boundaries. $(k^{prismatic}_{μ})$ values for each individual GB were calculated by coupling the stress profile information with a continuum dislocation pile-up model. The $(k^{prismatic}_{μ})$ values vary from 0.138 MPa.m1/2 to 0.685 MPa. m1/2 which are almost three times larger than the calculated values for the basal micro-Hall-Petch. The $(k^{prismatic}_{μ})$ values were correlated with the GB parameters, and a functional relationship depending on the two most effective angles, the angle between the traces of the slip planes on the GB plane ($\phi$) and the angle between incoming and outgoing slip directions (κ), was proposed to estimate the Hall-Petch barrier for prismatic slip system. The work provides coefficients that can be supplied as input to crystal plasticity models to couple the effect of texture and grain size effectively.},
doi = {10.1016/j.actamat.2021.117613},
journal = {Acta Materialia},
number = C,
volume = 226,
place = {United States},
year = {Fri Dec 31 00:00:00 EST 2021},
month = {Fri Dec 31 00:00:00 EST 2021}
}
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