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Green’s function for general cracked ring problems

Author(s)
Leung, Andrew Yee Tak  
Author(s)
Hu, J. D.
Lo, S. H.
Date Issued
1999
Publisher
Elsevier
Journal
International Journal of Pressure Vessels and Piping
Volume
76
Issue
2
Start page
117
End page
126
Abstract
The two-dimensional elasticity problem of a circular ring or a hollow cylinder with a radial crack and subjected to arbitrary loads is considered. Using Muskhelishvili’s complex variable method, the dislocation solution is expressed in closed form. Dislocation pile-up and singular integral equation techniques may use the dislocation solution as a Green’s function to tackle general cracked ring problems. The circular ring with an internal edge crack and an embedded crack is analyzed. As an example, a ring containing a radial crack subjected to point loads is studied. Numerical procedures for calculating the stress intensity factors are presented.
URI
https://repository.sfu.edu.hk/handle/sfu/3084
DOI
10.1016/S0308-0161(98)00114-8
SFU Affiliated Publication
No
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