Crack nucleation from a wedge disclination dipole with shift of rotation axes

Crack nucleation from a wedge disclination dipole with shift of rotation axes Int J Fract https://doi.org/10.1007/s10704-018-0292-9 ORIGINAL PAPER Crack nucleation from a wedge disclination dipole with shift of rotation axes Mao S. Wu Received: 3 November 2017 / Accepted: 22 May 2018 © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract This paper analyzes crack nucleation from Keywords Crack nucleation · Wedge disclination a wedge disclination dipole in the presence of a remote dipole · Rotation axis shift · Zener–Griffith crack stress, accounting for the shift of the rotation axes within the dipole arm of the disclinations. A Zener– Griffith crack is assumed and an energy method is 1 Introduction employed for the analysis. A single energy equation determines the equilibrium crack lengths and the crack A disclination is a rotational defect, which may be head opening. Uniaxial and biaxial dipoles are com- wedge or twist in character. A wedge disclination has pared: in the former the disclinations share a common its line parallel to the Frank vector of rotation, whereas rotation axis while in the latter the axes are separate. a twist disclination has its line perpendicular to the vec- The results show that stable and unstable cracks can tor, in analogy to screw and edge dislocations, respec- http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Fracture Springer Journals

Crack nucleation from a wedge disclination dipole with shift of rotation axes

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Publisher
Springer Netherlands
Copyright
Copyright © 2018 by Springer Science+Business Media B.V., part of Springer Nature
Subject
Materials Science; Characterization and Evaluation of Materials; Classical Mechanics; Civil Engineering; Automotive Engineering; Mechanical Engineering
ISSN
0376-9429
eISSN
1573-2673
D.O.I.
10.1007/s10704-018-0292-9
Publisher site
See Article on Publisher Site

Abstract

Int J Fract https://doi.org/10.1007/s10704-018-0292-9 ORIGINAL PAPER Crack nucleation from a wedge disclination dipole with shift of rotation axes Mao S. Wu Received: 3 November 2017 / Accepted: 22 May 2018 © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract This paper analyzes crack nucleation from Keywords Crack nucleation · Wedge disclination a wedge disclination dipole in the presence of a remote dipole · Rotation axis shift · Zener–Griffith crack stress, accounting for the shift of the rotation axes within the dipole arm of the disclinations. A Zener– Griffith crack is assumed and an energy method is 1 Introduction employed for the analysis. A single energy equation determines the equilibrium crack lengths and the crack A disclination is a rotational defect, which may be head opening. Uniaxial and biaxial dipoles are com- wedge or twist in character. A wedge disclination has pared: in the former the disclinations share a common its line parallel to the Frank vector of rotation, whereas rotation axis while in the latter the axes are separate. a twist disclination has its line perpendicular to the vec- The results show that stable and unstable cracks can tor, in analogy to screw and edge dislocations, respec-

Journal

International Journal of FractureSpringer Journals

Published: May 31, 2018

References

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