ISSN:
1069-8299
Keywords:
multiple-edge crack problem
;
singular integral equation approach
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
The complex potential for a single-edge crack problem of an elastic half-plane is proposed. The complex potential is obtained by distributing the dislocation density along the crack configuration, and satisfies the traction-free condition along the boundary of the half-plane. The multiple-edge crack problem of an elastic half-plane can be considered as a superposition of many single-edge crack problems. Bearing this in mind, a singular integral equation for the multiple-edge crack problem is formulated, where the distributing dislocation density serves as the unknown function and the traction applied on the crack faces serves as the right-hand side in the resulting integral equation. A semi-open quadrature rule is used to solve the singular integral equation. Several numerical examples are given. The ‘shadow effect’ is observed, which means the stress intensity factor at a crack tip is negligible if the crack is placed in some particular ‘shadow area’.
Additional Material:
8 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/cnm.1640110707
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