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ASTM Selected Technical Papers
Fracture Toughness and Slow-Stable Cracking
By
PC Paris
PC Paris
Chairman of symposium committee
Search for other works by this author on:
GR Irwin
GR Irwin
1Department of Mechanical Engineering,
University of Maryland
,
College Park, Md
.
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ISBN-10:
0-8031-0367-0
ISBN:
978-0-8031-0367-2
No. of Pages:
319
Publisher:
ASTM International
Publication date:
1974

Fatigue crack propagation is treated as a succession of fatigue crack initiation events. The cyclic stress and strain experienced by elements ahead of the crack tip are computed by means of an elastic-plastic analysis and the cumulative fatigue damage is evaluated from low cycle fatigue properties of the metal. If it is assumed that the appropriate element width is related to the microstructure size of the metal, a significant deviation from the log-log linear relationship usually assumed to exist between the crack propagation rate, da/dN, and the stress intensity range, ΔK, is predicted. The analysis indicates that at small values of ΔK, da/dN rapidly decreases until it approaches zero at a “threshold” value of ΔK.

Fatigue crack propagation data for eight steels from Barsom's work are compared with predictions from the analysis using low cycle fatigue properties and values of the microstructure size based on Gurland's correlation between yield strength and the dimensions of the microstructural units responsible for strengthening in steels. In all cases the estimate of da/dN for a given ΔK was within a factor of two of the measured values.

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Paris
,
P. C.
,
Gomez
,
M. P.
, and
Anderson
,
W. E.
,
The Trend in Engineering, University of Washington
, Vol.
13
, No.
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2.
Paris
,
P. C.
and
Erdogan
,
F.
,
Journal of Basic Engineering
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85
,
1963
, pp. 528–534.
3.
Swanson
,
S. R.
,
Cicci
,
F.
, and
Hoppe
,
W.
in
Fatigue Crack Propagation
, ASTM STP 415,
American Society for Testing and Materials
,
1967
, p. 312.
4.
Wilhelm
,
D. P.
in
Fatigue Crack Propagation
, ASTM STP 415,
American Society for Testing and Materials
,
1967
, p. 363.
5.
Schijve
,
J.
in
Fatigue Crack Propagation
, ASTM STP 415,
American Society for Testing and Materials
,
1967
, p. 415.
6.
Barsom
,
J. M.
, “
Fatigue-Crack Propagation in Steels of Various Yield Strengths
,” presented at the First National Congress of Pressure Vessels and Piping,
San Francisco
, 10–12 May 1971.
7.
Liu
,
H. W.
,
Journal of Basic Engineering
 0021-9223, Vol.
85
, No.
1
,
1963
, pp. 116–122.
8.
Liu
,
H. W.
and
Iino
,
N.
in
Proceedings
, 2nd International Conference on Fracture, Paper 71,
Chapman and Hall
,
1969
, pp. 812–823.
9.
Tomkins
,
B.
,
Philosophical Magazine
 1478-6435, Vol.
18
,
1968
, pp. 1041–1066.
10.
Dugdale
,
D. S.
,
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,
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11.
Hickerson
,
J. P.
, Jr.
and
Hertzberg
,
R. W.
,
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3
,
01
1972
, pp. 179–189.
12.
McClintock
,
F. A.
in
Fracture of Solids
,
Drucker
and
Gilman
, Eds.,
Wiley
,
New York
,
1963
, pp. 65–102.
13.
Rice
,
J. R.
in
Fatigue Crack Propagation
, ASTM STP 415,
American Society for Testing and Materials
,
1967
, p. 247.
14.
Neuber
,
H.
,
Journal of Applied Mechanics
 0021-8936, Vol.
28
,
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, pp. 544–550.
15.
Weiss
,
V.
in
Fatigue—An Interdisciplinary Approach
,
Burke
,
Reed
, and
Weiss
, Eds.,
Syracuse University Press
, pp. 179–186.
16.
Fleck
,
W. G.
and
Anderson
,
R. B.
in
Proceedings
, 2nd International Conference on Fracture, Paper 69,
Chapman and Hall
,
1969
, pp. 790–802.
17.
Fleck
,
W. G.
and
Anderson
,
R. B.
in
Proceedings
, Air Force Conference on Fatigue and Fracture of Aircraft Structures and Materials,
Miami Beach
,
1969
, pp. 417–424.
18.
Rice
,
J. R.
, “
Stresses Due to a Sharp Notch in a Work Hardening Elastic Plastic Material Loaded by Longitudinal Shear
,” Brown University Technical Report NSF GK-286/1,
12
1965
.
19.
Gurland
,
J.
in
Stereology and Quantitative Metallography
, ASTM STP 504,
American Society for Testing and Materials
,
1972
, pp. 108–118.
20.
Landgraf
,
R. W.
in
Achievement of High Fatigue Resistance in Metals and Alloys
, ASTM STP 467,
American Society for Testing and Materials
,
1970
, pp. 3–36.
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