Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/92654
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Type: Journal article
Title: Effect of vertex singularities on stress intensities near plate free surfaces
Author: He, Z.
Kotousov, A.
Berto, F.
Citation: Fatigue & Fracture of Engineering Materials & Structures, 2015; 38(7):860-869
Publisher: Wiley
Issue Date: 2015
ISSN: 8756-758X
1460-2695
Statement of
Responsibility: 
Z. He, A. Kotousov, and F. Berto
Abstract: 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 in- finite 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 differ- ence 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.
Keywords: Stress intensity factor; straight crack front; vertex singularities; J-integral; crack-tip asymptotic solution; FEA
Description: Published online: 8 March 2015
Rights: © 2015 Wiley Publishing Ltd.
RMID: 0030030678
DOI: 10.1111/ffe.12294
Appears in Collections:Mechanical Engineering publications

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