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ASTM Selected Technical Papers
Elastic-Plastic Fracture Test Methods: The User's Experience (Second Volume)
By
JA Joyce
JA Joyce
1Mechanical Engineering Department,
U. S. Naval Academy
,
Annapolis, MD 21402
;
symposium chairman and editor
.
Search for other works by this author on:
ISBN-10:
0-8031-1418-4
ISBN:
978-0-8031-1418-0
No. of Pages:
351
Publisher:
ASTM International
Publication date:
1991

This study investigates the applicability of the J-integral test procedure to test short crack specimens in the temperature region below the initiation of ductile tearing where JIc cannot be measured. The current J-integral test procedure is restricted to determining the initiation of ductile tearing and requires that no specimen demonstrates brittle cleavage fracture. The JIctest specimen is also limited to crack-depth to specimen-width ratios (a/W) between 0.50 and 0.75. In contrast, the crack tip opening displacement (CTOD) test procedure can be used for testing throughout the entire temperature-toughness transition region from brittle to fully ductile behavior. Also, extensive research is being conducted to extend the CTOD test procedure to the testing of short crack specimens (a/W ratios of approximately 0.15).

The CTOD and J-integral fracture parameters are compared both analytically and experimentally using square (cross-section) three-point bend specimens of A36 steel with a/W ratios of 0.50 (deep crack) and 0.15 (short crack). Three-dimensional elastic-plastic finite element analyses are conducted on both the deep crack and the short crack specimens. The measured J-integral and CTOD results are compared at various levels of linear-elastic and elastic-plastic behavior. Experimental testing is conducted throughout the lower shelf and lower transition regions where stable crack growth does not occur. Very good agreement exists between the analytical and experimental results for both the short crack and deep crack specimens.

Results of this study show that both the J-integral and the CTOD fracture parameters work well for testing in the lower shelf and lower transition regions where stable crack growth does not occur. A linear relationship is shown to exist between J-integral and CTOD throughout these regions for both the short and the deep crack specimens. These observations support the consideration to extend the J-integral test procedure into the temperature region of brittle fracture rather than limiting it to JIc at the initiation of ductile tearing. Also, analyzing short crack three-point bend specimen (a/W < 0.15) records using the load versus load-line displacement (LLD) record has great potential as an experimental technique. The problems of accurately measuring the CMOD of short crack specimens in the laboratory without affecting the crack tip behavior may be eliminated using the J-integral test procedure.

1.
Sorem
,
W. A.
,
Dodds
,
R. H.
, Jr.
, and
Rolfe
,
S. T.
, “
An Analytical Comparison of Short Crack and Deep Crack CTOD Fracture Specimens of an A36 Steel
,”
Fracture Mechanics: Twenty-First Symposium
, ASTM STP 1079,
American Society for Testing and Materials
,
Philadelphia
,
1990
, pp. 3–23.
2.
Sorem
,
W. A.
,
Rolfe
,
S. T.
and
Dodds
,
R. H.
 Jr.
, “
An Experimental Comparison of Short Crack and Deep Crack CTOD Fracture Specimens of an A36 Steel
,” to be published.
3.
Matsoukas
,
G.
,
Cotterell
,
B.
, and
Mai
,
Y.-W.
, “
Hydrostatic Stress and Crack Opening Displacement in Three-Point Bend Specimens with Shallow Cracks
,”
Journal of the Mechanics and Physics of Solids
, Vol.
34
, No.
5
,
1986
, pp. 499–510.
4.
de Castro
,
P. M. S. T.
,
Spurrier
,
J.
, and
Hancock
,
P.
, “
An Experimental Study of the Crack Length/Specimen Width (a/W) Ratio Dependence on the Crack Opening Displacement (COD) Test Using Small-Scale Specimens
,”
Fracture Mechanics
, ASTM STP 677,
Smith
C. W.
, Ed.,
American Society for Testing and Materials
,
Philadelphia
,
1979
, pp. 486–497.
5.
Sumpter
,
J. D. G.
, “
The Effect of Notch Depth and Orientation on the Fracture Toughness of Multi-Pass Weldments
,”
International Journal of Pressure Vessel and Piping
 0308-0161,
1982
, Vol.
10
, pp. 169–180.
6.
Cotterell
,
B.
,
Li
,
Q.-F.
,
Zhang
,
D.-Z.
, and
Mai
,
Y.-W.
, “
On the Effect of Plastic Constraint on Ductile Tearing in a Structural Steel
,”
Engineering Fracture Mechanics
, Vol.
21
, No.
2
,
1985
, pp. 239–244.
7.
Li
,
Q.-F.
, “
A Study About Ji and δi in Three-Point Bend Specimens With Deep and Shallow Notches
,”
Engineering Fracture Mechanics
, Vol.
22
, No.
1
,
1985
, pp. 9–15.
8.
Li
,
Q.-F.
,
Zhou
,
L.
and
Li
,
S.
, “
The Effect of a/W Ratio on Crack Initiation Values of COD and 7-integral
,”
Engineering Fracture Mechanics
, Vol.
23
, No.
5
,
1986
, pp. 925–928.
9.
Zhang
,
D. Z.
and
Wang
,
H.
, “
On the Effect of the Ratio a/W on the Values of δi and Ji in a Structural Steel
,”
Engineering Fracture Mechanics
, Vol.
26
, No.
2
,
1987
, pp. 247–250.
10.
Anderson
,
T. L.
,
McHenry
,
H. I.
, and
Dawes
,
M. G.
, “
Elastic-Plastic Fracture Toughness Tests with Single-Edge Notched Bend Specimens
,” ASTM STP 856,
American Society for Testing and Materials
,
Philadelphia
,
1985
, pp. 210–229.
11.
Ebrahimi
,
F.
, “
A Study of Crack Initiation in the Ductile-to-Brittle Transition Region of a Weld
,” ASTM STP 945,
American Society for Testing and Materials
,
Philadelphia
,
1988
, pp. 555–580.
12.
Sumpter
,
J. D. G.
and
Turner
,
C. E.
, “
Method for Laboratory Determination of Jc
,”
Cracks and Fracture
, ASTM STP 601,
American Society for Testing and Materials
,
Philadelphia
,
1976
, pp. 3–18.
13.
Sumpter
,
J. D. G.
, “
Jc Determination for Shallow Notch Welded Bend Specimens
,”
Fatigue Fracture Engineering Materials Structures
, Vol.
10
, No.
6
,
1987
, pp. 479–493.
14.
Dawes
,
M. G.
, “
Elastic-Plastic Fracture Toughness Based on the COD and J-Contour Integral Concepts
,”
Elastic-Plastic Fracture
, ASTM STP 668,
Landes
J. D.
,
Begley
J. A.
and
Clarke
G. A.
, Eds.,
American Society for Testing and Materials
,
Philadelphia
,
1979
, pp. 307–333.
15.
Shoemaker
,
A. K.
and
Seeley
,
R. R.
, “
Summary Report of Round Robin Testing by ASTM Task Group E24.01.06 on Rapid Loading Plane-Strain Fracture Toughness KIc Testing
,”
Journal of Testing and Evaluation, JTEVA
 0090-3973, Vol.
11
, No.
4
,
07
1983
, pp. 261–272.
16.
Clausing
,
D. P.
, “
Tensile Properties of Eight Constructional Steels Between 70 and -320 F
,”
Journal of Materials
, Vol.
4
, No.
2
,
06
1969
, pp. 473–492.
17.
Lopez
,
L. A.
, “
Finite: An Approach to Structural Mechanics Systems
,”
International Journal for Numerical Methods in Engineering
 0029-5981, Vol.
11
, No.
5
,
1977
, pp. 851–866.
18.
Dodds
,
R. H.
and
Lopez
,
L. A.
, “
A Generalized Software System for Nonlinear Analysis
,”
International Journal for Advances in Engineering Software
, Vol.
2
, No.
4
,
1980
.
19.
Dodds
,
R. H.
, Jr.
,
Carpenter
,
W. C.
, and
Sorem
,
W. A.
, “
Numerical Evaluation of a 3-D JIntegral and Comparison with Experimental Results for a 3-Point Bend Specimen
,”
Engineering Fracture Mechanics
, Vol.
29
, No.
3
,
1988
, pp. 275–285.
20.
Rice
,
J. R.
, “
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
,”
Journal of Applied Mechanics
,
Transactions of the American Society of Mechanical Engineers
, Vol.
35
,
06
1968
, pp. 379–386.
21.
Rice
,
J. R.
,
Paris
,
P. C.
, and
Merkle
,
J. G.
, “
Some Further Results of J-Integral Analysis and Estimates
,” ASTM STP 536,
American Society for Testing and Materials
,
Philadelphia
,
1973
, pp. 231–245.
22.
Turner
,
C. E.
,
Material Science Engineering
 0025-5416, Vol.
11
,
1973
, pp. 275–282.
23.
Haigh
,
J. R.
and
Richards
,
C. E.
, “
Yield Point Loads and Compliance Functions of Fracture Mechanics Specimens
,” CEGB Report RD/L/M461.
24.
Paris
,
P. C.
,
Ernst
,
Hugo
, and
Turner
,
C. E.
, “
A J-Integral Approach to Development of η Factors
,”
Fracture Mechanics: Twelfth Conference
, ASTM STP 700,
American Society for Testing and Materials
,
Philadelphia
,
1980
, pp. 338–351.
25.
Srawley
,
J.
, “
On the Relation of J1, to Work Done per Unit Area: ‘Total,’ or Component ‘Due to Crack’
,”
International Journal of Fracture
, Vol.
12
,
1976
, pp. 470–474.
26.
Turner
,
C. E.
, “
The Ubiquitous η Factor
,”
Fracture Mechanics: Twelfth Conference
, ASTM STP 700,
American Society for Testing and Materials
,
Philadelphia
,
1980
, pp. 314–337.
27.
Correspondence between Sorem, Rolfe, and Dodds, currently unpublished.
28.
Wellman
,
G. W.
,
Rolfe
,
S. T.
, and
Dodds
,
R. H.
, Jr.
, “
Three-Dimensional Elastic-Plastic Finite Element Analysis of Three-Point Bend Specimens
,”
Fracture Mechanics: Sixteenth Symposium
, ASTM STP 868,
American Society for Testing and Materials
,
Philadelphia
,
1985
, pp. 214–237.
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