Erratum to: Closure of circular arc cracks under general loading: effects on stress intensity factors

摘要

Due to an unfortunate turn of events, this article has been published with an erroneous version of Fig. 6 and two errors in the values of the second paragraph as well as one error in the text of paragraph three of Sect. 5 "Arc crack closure under uniaxial tension". Please find below the correct values and text part of the second and third paragraph of Sect. 5 and the correct Fig. 6 that should be regarded by the reader as the final versions.Figure 6 shows displacement fields normalized by the magnitude of the maximum displacement within that field. The initial and exaggerated final crack geometries are also shown in Fig. 6 in order to illustrate the deformation of the crack surfaces. Note that in general, displacements within the concavity of the arc crack have greater magnitudes than those in the surrounding material. Although the displacement fields in Fig. 6 are plotted with similar vector lengths, the magnitude of the maximum displacement differs both with arc crack half-angle α and loading orientation co. In comparing the examples of arc cracks with a = 45° and α = 90°, the lesser half angle yields lesser displacement discontinuities. For all arc crack half angles, as ω increases and the direction of uniaxial tension becomes more parallel to the arc crack chord, the magnitude of maximum displacement decreases. As the loading orientation ω increases from 0° to 90°, the maximum displacement discontinuity magnitude plotted decreases 80.6 and 58.0% for arc cracks with α = 45° and α = 90°, respectfully. Additionally, the rate of change of the maximum magnitude increases as the loading orientation co increases from 0° to 90°.