Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/31523
Title: A generic Hall-Petch relationship in metallic materials with varied grain morphology
Authors: Keerti, S
Yang, X
Babu, NH
Keywords: Hall-Petch relation;Al binary alloys;eutectic;perimeter;interfacial area
Issue Date: 4-Jul-2025
Publisher: Elsevier
Citation: Keerti, S., Yang, X. and Babu, N.H. (2025) 'A generic Hall-Petch relationship in metallic materials with varied grain morphology', Materials Science and Engineering: A, 943, 148764, pp. 1- 13. doi: 10.1016/j.msea.2025.148764.
Abstract: The Hall-Petch relationship relates the yield strength (YS) of metallic materials to grain diameter (d), but for alloys with dendritic grains, secondary dendritic arm spacing (λ2) provides a better fit. This manuscript underscores the significance of considering a perimeter-associated parameter (p'), rather than relying solely on d or λ2, to account for strength contribution from morphological changes in various alloys. We propose a generic Hall-Petch relation expressed as σ = σ<inf>o</inf> + k'ʹ/√pʹ, where p' is the area per unit perimeter which can be accurately measured using digital imaging tools and k'ʹ is the Hall-Petch constant. To validate this approach, controlled solidification experiments were conducted on Al-Si and Al-Ce alloys across cooling rates from 0.000167 °C/s to 0.34 °C/s. The degree of primary α-Al grain complexity was manipulated through solute additions (Si or Ce), revealing a nonlinear relationship between λ2 and p', both experimentally and theoretically. This underscores the critical importance of incorporating the perimeter-associated parameter p' as a fundamental strength metric in the Hall-Petch relation. Hardness changes were analysed alongside evolving grain morphologies. Experimental data from various morphologies (facetted, rosette, dendritic) fit more effectively with the proposed generic Hall-Petch relationship than conventional models.
Description: Data availability: Data will be made available on request.
URI: https://bura.brunel.ac.uk/handle/2438/31523
DOI: https://doi.org/10.1016/j.msea.2025.148764
ISSN: 0921-5093
Other Identifiers: ORCiD: Xinliang Yang https://orcid.org/0000-0002-7657-3759
ORCiD: Nadendla Hari Babu https://orcid.org/0000-0003-4894-7052
Article number: 148764
Appears in Collections:Brunel Centre for Advanced Solidification Technology (BCAST)

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