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A Theoretical Investigation of Special Aspects of Nonequilibrium Disclinational-Type Boundaries in Crystalline Materials

  • I. I. SukhanovEmail author
  • I. A. Ditenberg
  • A. N. Tyumentsev
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The results of a theoretical analysis of the stress fields and elastic energy distributions of the disclinational grain-boundary structure in nanocrystalline metallic materials as a function of grain size are presented. Considering the superposition of these stresses during screening of the piled-up disclinations it is found out that the maximal values of the principal components of the stress tensors are achieved in the planes of disclination occurrence P = Tr(σij)/3 >  > E/25, while the stress gradients are characterized by the maximum values in the nodal points ∂P/∂x ≈ 0.08 E nm–1 (Е – Young’s modulus). It is determined that a considerable part of the shear stress components is localized inside the grain. It is shown that the characteristic features of the specific elastic energy distribution in these configurations are the local energy maxima, which could be a reason for the physical broadening of the nanograin boundaries.

Keywords

nonequilibrium grain boundaries disclinations crystal lattice curvature deformation nanocrystals 

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • I. I. Sukhanov
    • 1
    • 2
    Email author
  • I. A. Ditenberg
    • 1
    • 2
  • A. N. Tyumentsev
    • 1
    • 2
  1. 1.Institute of Strength Physics and Materials Science of the Siberian Branch of the Russian Academy of SciencesTomskRussia
  2. 2.National Research Tomsk State UniversityTomskRussia

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