Method of establishing the relationship between grain structure and relative energies of grain boundaries

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Abstract

An algorithmic approach for determining the relationship between the energy of grain boundaries and their location in the structure has been developed and proposed. A comparative analysis of the results of relative grain boundary energies measurements by the method of etch groove shape analysis for manual measurement and the developed algorithmic approach was carried out on the example of ultrafine-grained nickel obtained by severe plastic deformation.

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About the authors

N. S. Chikunova

M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences

Author for correspondence.
Email: chikunova@imp.uran.ru
Russian Federation, Ekaterinburg

A. V. Stolbovsky

M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences

Email: chikunova@imp.uran.ru
Russian Federation, Ekaterinburg

I. V. Blinov

M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences

Email: chikunova@imp.uran.ru
Russian Federation, Ekaterinburg

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Supplementary files

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2. Fig. 1. Three-dimensional STM image of the GB groove and demonstration scheme for measuring the dihedral angle , necessary for calculating the value of the relative GB energy at the measurement point.

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3. Fig. 2. Dependences of the relative error in measuring the boundary energies obtained during profile processing in the case of a deviation of the cross-section angle from the normal to the GB line. 0.1, 0.2, 0.4, 0.8 are the relative energies of the grain boundaries.

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4. Fig. 3. Fragment of the STM image of the etching surface of UFG nickel obtained by SVD for 5 revolutions (a) and a map of relative grain boundary energies obtained using algorithmic processing with the condition r2 > 0.9 (b)

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5. Fig. 4. Histograms of the distributions of relative GB energies obtained using the algorithmic approach (1), in comparison with the results obtained using the manual method (2).

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