1999
DOI: 10.1115/1.555325
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An Analysis of a Near-Surface Crack Branching Under a Rigid Indenter

Abstract: A near surface branching subsurface crack under a rigid cylindrical indenter is analyzed by a complex variable 2-D elasticity formulation. This analysis focuses on the mode II stress intensity factors (SIF) of a straight crack vs. the mode I SIF of a branched crack. The contact portion of the analysis is limited to a Hertzian contact under simple Coulomb friction. The effects of crack depth and length are examined and it is found that for small indenter footprints, as a crack grows parallel to the surface, con… Show more

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Cited by 7 publications
(3 citation statements)
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“…It is known that the integration and collocation points in this study can not be arbitrarily selected. This becomes an apparent deficiency when solving a small kinked branch problem (Mukai 2000). However this weakness can be alleviated by increasing the number of the integration points.…”
Section: Numerical Results and Discussionmentioning
confidence: 98%
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“…It is known that the integration and collocation points in this study can not be arbitrarily selected. This becomes an apparent deficiency when solving a small kinked branch problem (Mukai 2000). However this weakness can be alleviated by increasing the number of the integration points.…”
Section: Numerical Results and Discussionmentioning
confidence: 98%
“…Unlike the assumptions used by Mukai (2000), the kinks in this study are not required to be closed. Physically, the crack opening displacement of the I-th branch at the kink k I−1 , g I (−a I ) as shown in Fig.…”
Section: Determination Of Sif Cod Cov and Fluid Pressurementioning
confidence: 96%
“…However, the actual crack is apt to branch and is propagated into a pitting or shelling failure. As to the analysis for branched crack due to the rolling contact, Farris et al (9) , Yu et al (10) and Mukai et al (11) have studied the kinked direction from subsurface crack. However, they do not consider the crack growth path until the failure and their fatigue life due to the rolling-sliding contact.…”
Section: Introductionmentioning
confidence: 99%