Journal
FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES
Volume 38, Issue 7, Pages 860-869Publisher
WILEY
DOI: 10.1111/ffe.12294
Keywords
stress intensity factor; straight crack front; vertex singularities; J-integral; crack-tip asymptotic solution; FEA
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The stress intensity factor (SIF) distribution along the front of a through-the-thickness crack is significantly influenced by the presence of the 3D corner (vertex) singularities. All past 3D finite element studies indicated that for mode I, SIF rapidly decreases near the free surface and for mode II, it sharply increases. From the previous numerical simulations, it is unclear what the limiting values of SIF near the surface are and whether these values are infinite or bounded at the vertex point. In this paper, we conduct a careful finite element study and propose a theoretical equation, which describes the SIF behaviour near the vertex. We demonstrate that the asymptotic behaviour of SIF near the surface is governed by the difference in the strength of the corner and edge singularities. Furthermore, we validate our numerical approach and calculations by utilising the invariant properties of J-integral.
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