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ASTM Selected Technical Papers
Fracture Mechanics: Fourteenth Symposium—Volume I: Theory and Analysis
By
JC Lewis
JC Lewis
1
Space and Technology Group, TRW
,
Redondo Beach, Calif. 90278
;
symposium cochairman and co-editor
.
Search for other works by this author on:
G Sines
G Sines
2
School of Engineering and Applied Science, University of California at Los Angeles
,
Los Angeles, Calif. 90024
;
symposium co-chairman and co-editor
.
Search for other works by this author on:
ISBN-10:
0-8031-0728-5
ISBN:
978-0-8031-0728-1
No. of Pages:
622
Publisher:
ASTM International
Publication date:
1983

Approximate influence functions are presented for a part-circumferential semielliptical interior surface crack in a circular pipe. The influence functions are derived from the crack surface opening displacements obtained by the use of boundary integral equation techniques. Such functions are useful in evaluating stress-intensity factors for cracks in bodies subjected to complex stress conditions, and convenient curve fits suitable for numerical calculations are provided. The stress intensities are obtainable for arbitrary stresses by numerical integration techniques. Comparisons with existing solutions indicate that the influence functions provide results of suitable accuracy for engineering purposes. The results indicate that the stress-intensity factor is not strongly dependent on the parameter Ri/h or on whether the crack is longitudinal or circumferential. Details of the variation of K along the crack front are not obtainable from the influence functions, only “root-mean-square (RMS)-averaged” values are generated. However, such values are useful in the analysis of the growth of semielliptical cracks, and the results presented should be of wide use in the analysis of such cracks under complex stress conditions.

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