Effect of Recovery and Recrystallization on the Hall–Petch Relation Parameters in Submicrocrystalline Metals: II. Model for Calculating the Hall–Petch Relation Parameters
- Authors: Chuvil’deev V.N.1, Nokhrin A.V.1, Myshlyaev M.M.2,3, Kopylov V.I.1,4, Lopatin Y.G.1, Melekhin N.V.1, Piskunov A.V.1, Bobrov A.A.1, Pirozhnikova O.E.1
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Affiliations:
- Nizhny Novgorod State University
- Baikov Institute of Metallurgy and Materials Science
- Institute of Solid State Physics
- Physicotechnical Institute
- Issue: Vol 2018, No 5 (2018)
- Pages: 487-499
- Section: Article
- URL: https://journals.rcsi.science/0036-0295/article/view/172543
- DOI: https://doi.org/10.1134/S0036029518050051
- ID: 172543
Cite item
Abstract
A model is developed to calculate the Hall–Petch relation parameters for the submicrocrystalline (SMC) metals fabricated by severe plastic deformation (SPD) methods. The model is based on the assumption that the flow stress in SMC metals includes both conventional contributions (caused by lattice dislocations, impurity atoms, etc.) and a contribution related to the long-range internal stress fields created by the SPD-induced defects distributed over grain boundaries. Equations are derived to calculate the Hall–Petch relation parameters as functions of the strain and the strain rate. The results calculated by the derived equations agree well with the experimental data. The low resistance of grain boundaries to the motion of grain boundaries in SMC materials (see part I of this work) is found to be related to a violation of the Hall–Petch relation in SMC metals.
About the authors
V. N. Chuvil’deev
Nizhny Novgorod State University
Email: nokhrin@nifti.unn.ru
Russian Federation, pr. Gagarina 23/5, Nizhny Novgorod, 603600
A. V. Nokhrin
Nizhny Novgorod State University
Author for correspondence.
Email: nokhrin@nifti.unn.ru
Russian Federation, pr. Gagarina 23/5, Nizhny Novgorod, 603600
M. M. Myshlyaev
Baikov Institute of Metallurgy and Materials Science; Institute of Solid State Physics
Email: nokhrin@nifti.unn.ru
Russian Federation, Leninskii pr. 49, Moscow, 119991; Chernogolovka, Moscow oblast, 142432
V. I. Kopylov
Nizhny Novgorod State University; Physicotechnical Institute
Email: nokhrin@nifti.unn.ru
Russian Federation, pr. Gagarina 23/5, Nizhny Novgorod, 603600; ul. Tskhodinskaya 4, Minsk, 220141
Yu. G. Lopatin
Nizhny Novgorod State University
Email: nokhrin@nifti.unn.ru
Russian Federation, pr. Gagarina 23/5, Nizhny Novgorod, 603600
N. V. Melekhin
Nizhny Novgorod State University
Email: nokhrin@nifti.unn.ru
Russian Federation, pr. Gagarina 23/5, Nizhny Novgorod, 603600
A. V. Piskunov
Nizhny Novgorod State University
Email: nokhrin@nifti.unn.ru
Russian Federation, pr. Gagarina 23/5, Nizhny Novgorod, 603600
A. A. Bobrov
Nizhny Novgorod State University
Email: nokhrin@nifti.unn.ru
Russian Federation, pr. Gagarina 23/5, Nizhny Novgorod, 603600
O. E. Pirozhnikova
Nizhny Novgorod State University
Email: nokhrin@nifti.unn.ru
Russian Federation, pr. Gagarina 23/5, Nizhny Novgorod, 603600