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ASTM Selected Technical Papers
Fracture Mechanics
By
PC Paris
PC Paris
1
Washington University
?
symposium chairman
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ISBN-10:
0-8031-0363-8
ISBN:
978-0-8031-0363-4
No. of Pages:
587
Publisher:
ASTM International
Publication date:
1980

Analytical models based on fracture mechanics technology are developed to establish predicted critical defect sizes for sharp, circumferential defects in pressurized pipe. These models are only intended to provide a theoretical basis for establishing predicted critical defect sizes. The general problem considered here is that of a surface-defect in a plate; that is, the flat plate analogy is used here for a pipeline. Failure is considered to occur when the ligament ruptures and provides a leakage path. The fracture mechanics model used, called the collapsed ligament model, is based on the work of Erdogan and Bakioglu, which is in turn based on the Dugdale model. The collapsed ligament model assumes plastic collapse in the depth direction but any fracture mechanics model in the length direction. To illustrate the use of these theoretical models for defects in pressurized pipes, curves are derived that show the predicted critical defect sizes. In these curves, the defect depth is plotted versus the defect length for a given set of material properties and applied stress. Defects having sizes that fall below this curve are not expected to extend. On the other hand, it is assumed that defects with sizes which fall above the curve will extend.

1.
Wilkowski
,
G. M.
and
Eiber
,
R. J.
, “
Review of Fracture Mechanics Approach to Defining Critical Size Girth Weld Discontinuities
,” WRC Bulletin 239,
Welding Research Council
,
New York
,
1978
.
2.
Begley
,
J. A.
, “
Defect Tolerance
,” Appendix B in the Alaska Pipeline Report, “
Consideration of Fracture Mechanics Analysis and Defect Dimension Measurement Assessment for the Trans-Alaska Oil Pipeline Girth Welds
,” NBSIR 76-1154, Vols.
I
and II,
National Bureau of Standards
,
1976
(available from
the National Technical Information Service
, Springfield, Va.).
3.
Erdogan
,
F.
and
Bakioglu
,
M.
,
International Journal of Fracture
, Vol.
11
,
1975
, pp. 1031.
4.
Broek
,
D.
,
Elementary Engineering Fracture Mechanics
,
Noordhoff International Leyden
,
The Netherlands
,
1974
.
5.
Kanninen
,
M. F.
,
Broek
,
D.
,
Hahn
,
G. T.
,
Marshall
,
C. W.
,
Rybicki
,
E. F.
, and
Wilkowski
,
G. M.
,
Nuclear Engineering and Design
 0029-5493, Vol.
48
,
1978
, pp. 1-17.
6.
de Wit
,
R.
and
Smith
,
J. H.
, “
Development of Some Analytical Fracture Mechanics Models For Surface Defects in Plates of Ductile Metals
,”
Third International Symposium on Continuous Models of Discrete Systems, Freudenstadt
,
West Germany
, 24–30 June 1979.
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