Int J Fract (2018) 212:53–66 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 / Published online: 31 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,
International Journal of Fracture – Springer Journals
Published: May 31, 2018
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