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|Title:||Effect of vertex singularities on stress intensities near plate free surfaces|
|Citation:||Fatigue & Fracture of Engineering Materials & Structures, 2015; 38(7):860-869|
|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.|
|Appears in Collections:||Mechanical Engineering publications|
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