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-
International Journal of Fracture – Springer Journals
Published: May 31, 2018
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
All the latest content is available, no embargo periods.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud