With increasing demand of high-strength and high-pressure pipelines in gas transmission industries, the fracture control design of pipelines has been a driving factor to ensure the integrity of the pipeline. This paper addresses the stress and strain fields for a crack in a wide plate component under biaxial loading, which simulates a large-diameter pipe subjected to inner pressure coupled with axial loading. Attention is focused on the initiation of brittle fracture (stress controlled type) as well as ductile fracture (strain controlled type). Three-dimensional finite element-analyses are conducted. It was found that biaxial loading has a significant effect on the stress fields of through-thickness crack; the near-crack-tip stress is elevated to a large extent by biaxial loading. By contrast, the stress field for a surface crack is not sensitive to biaxial loading, while the near-crack-tip stress at the crack corner is increased locally by biaxial loading. The Weibull stress criterion was applied to discuss the biaxial loading effect on the brittle fracture strength of the wide plate. Ductile crack initiation properties are also discussed with two-parameter (plastic strain and stress triaxiality) diagram. The ductile damage is increased by biaxial loading for a through-thickness crack, whereas a surface crack has little effect of biaxial loading on the ductile damage.

1.
Safe and High Performance Pipelines (HighPerPipe), Joint Proposal of Technology and Platforms ESTP and ETPIS, 2007.
2.
Arctic Materials Project, 2007, Research Council of Norway.
3.
Leevers
,
P. S.
, and
Randon
,
J. C.
, 1982, “
Inherent Stress Biaxiality in Various Fracture Specimen Geometries
,”
Int. J. Fract.
0376-9429,
19
, pp.
311
325
.
4.
Kfouri
,
A. P.
, 1986, “
Some Evaluations of the Elastic T-Term Using Eshelby’s Method
,”
Int. J. Fract.
0376-9429,
30
, pp.
301
315
.
5.
O’Dowd
,
N. P.
, and
Shih
,
C. F.
, 1992, “
Family of Crack-Tip Fields Characterization by a Triaxiality Parameter-II. Fracture Applications
,”
J. Mech. Phys. Solids
0022-5096,
40
, pp.
939
963
.
6.
Bass
,
B. R.
,
McAfee
,
W. J.
,
Williams
,
P. T.
, and
Pennell
,
W. E.
, 1999, “
Fracture Assessment of Shallow-Flaw Cruciform Beams Tested Under Uniaxial and Biaxial Loading Conditions
,”
Nucl. Eng. Des.
0029-5493,
188
, pp.
259
288
.
7.
Joyce
,
J. A.
,
Link
,
R. E.
, and
Gaies
,
J.
, 2005, “
Evaluation of the Effect of Biaxial Loading on the T0 Reference Temperature Using a Cruciform Specimen Geometry
,”
J. ASTM Int.
1546-962X,
2
, pp.
385
402
.
8.
Link
,
R. E.
,
Joyce
,
J. A.
, and
Roe
,
C.
, 2007, “
An Experimental Investigation of the Effect of Biaxial Loading on the Master Curve Transition Temperature in RPV Steels
,”
Eng. Fract. Mech.
0013-7944,
74
, pp.
2824
2843
.
9.
Gordon
,
J. R.
,
Zettlemoyer
,
N.
, and
Mohr
,
W. C.
, 2007, “
Crack Driving Force in Pipelines Subjected to Large Strain and Biaxial Stress Conditions
,”
Proceedings of the 7th International Offshore and Polar Engineering Conference (ISOPE 2007)
, Lisbon, Portugal, Vol.
4
, pp.
3129
3140
.
10.
Østby
,
E.
, and
Fracture Control-Offshore Pipelines
,
J. I. P.
, 2007, “
Results from Large Scale Testing of the Effect of Biaxial Loading on the Strain Capacity of Pipes With Defects
,”
Proceedings of the 7th International Offshore and Polar Engineering Conference (ISOPE 2007)
, Lisbon, Portugal, Vol.
4
, pp.
3231
3237
.
11.
Liu
,
M.
, and
Wang
,
Y. -Y.
, 2007, “
Significance of Biaxial Stress on the Strain Concentration and Crack Driving Force in Pipeline Girth Welds With Softened HAZ
,” Paper No. OMAE2007-E29415.
12.
Tyson
,
W. R.
,
Shen
,
G.
, and
Roy
,
G.
, 2007, “
Effect of Biaxial Stress on ECA of Pipelines Under Strain-Based Design
,”
Proceedings of the 7th International Offshore and Polar Engineering Conference (ISOPE 2007)
, Lisbon, Portugal, Vol.
4
, pp.
3107
3113
.
13.
Harrison
,
J. D.
, 1980, “
The State-of-the-Art in Crack Tip Opening Displacement (CTOD) Testing and Analysis, Part 1-Background and Testing Methods
,”
Met. Constr.
0307-7896,
12
, pp.
415
422
.
14.
2002, “
Metallic Materials–Unified Method of Test of the Determination of Quasistatic Fracture Toughness
,” ISO 12135: 2002(E).
15.
Bilby
,
B. A.
,
Cottrell
,
A. H.
,
Smith
,
E.
, and
Swinden
,
K. H.
, 1963, “
The Spread of Plastic Yield From a Notch
,”
Proc. R. Soc. London, Ser. A
1364-5021,
A272
, pp.
304
314
.
16.
Beremin
,
F. M.
, 1983, “
A Local Criterion for Cleavage Fracture of a Nuclear Pressure Vessel Steel
,”
Metall. Mater. Trans. A
1073-5623,
14A
, pp.
2277
2287
.
17.
Wiesner
,
C. S.
, 1996, “
The ‘Local Approach’ to Cleavage Fracture, An Abington Publishing Special Report
.”
18.
Minami
,
F.
, and
Toyoda
,
M.
, 1999, “
Evaluation of Fracture Toughness Results and Transferability to Fracture Assessment of Welded Joints, Fatigue and Fracture Mechanics
,”
ASTM STP 1332
, Vol.
29
, pp.
315
340
.
19.
Minami
,
F.
,
Brückner-Foit
,
A.
, and
Trolldenier
,
B.
, 1990, “
Numerical Procedure for Determining Weibull Parameters Based on the Local Approach
,”
Proceedings of the 8th European Conference on Fracture, ECF8—Fracture Behaviour and Design of Materials and Structures
, Torino, Italy, Vol.
1
, pp.
76
81
.
20.
Ruggieri
,
C.
,
Minami
,
F.
,
Toyoda
,
M.
,
Hagihara
,
Y.
, and
Inoue
,
T.
, 1992, “
Local Approach to Notch Depth Dependence of CTOD Results
,”
J. Soc. Nav. Archit. Jpn.
0514-8499,
171
, pp.
493
499
.
21.
Minami
,
F.
,
Brückner-Foit
,
A.
,
Munz
,
D.
, and
Trolldenier
,
B.
, 1992, “
Estimation Procedure for the Weibull Parameter Used in the Local Approach
,”
Int. J. Fract.
0376-9429,
54
, pp.
197
210
.
22.
Minami
,
F.
,
Ohata
,
M.
,
Shimanuki
,
H.
,
Handa
,
T.
,
Igi
,
S.
,
Kurihara
,
M.
,
Kawabata
,
T.
,
Yamashita
,
Y.
,
Tagawa
,
T.
, and
Hagihara
,
Y.
, 2006, “
Method of Constraint Loss Correction of CTOD Fracture Toughness for Fracture Assessment of Steel Components
,”
Eng. Fract. Mech.
0013-7944,
73
, pp.
1996
2020
.
23.
McClintock
,
F. A.
, 1968, “
A Criterion for Ductile Fracture by the Growth of Holes
,”
ASME J. Appl. Mech.
0021-8936,
35
, pp.
363
371
.
24.
Rice
,
J. R.
, and
Tracy
,
D. M.
, 1969, “
On the Ductile Enlargement of Voids in Triaxial Stress Fields
,”
J. Mech. Phys. Solids
0022-5096,
17
, pp.
201
217
.
25.
Gurson
,
A. L.
, 1977, “
Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media
,”
ASME J. Eng. Mater. Technol.
0094-4289,
99
, pp.
2
15
.
26.
Tvergaard
,
V.
, 1982, “
On Localization in Ductile Materials Containing Spherical Voids
,”
Int. J. Fract.
0376-9429,
18
, pp.
237
252
.
27.
Chu
,
C. C.
, and
Needleman
,
A.
, 1980, “
Void Nucleation Effects in Biaxially Stretched Sheets
,”
ASME J. Eng. Mater. Technol.
0094-4289,
102
, pp.
249
256
.
28.
Hancock
,
J. W.
, and
Mackenzie
,
A. C.
, 1976, “
On the Mechanism of Ductile Failure in High-Strength Steels Subjected to Multi-Axial Stress-States
,”
J. Mech. Phys. Solids
0022-5096,
24
, pp.
147
169
.
29.
Otsuka
,
A.
,
Miyata
,
T.
,
Sakurai
,
T.
, and
Iida
,
H.
, 1985, “
Effect of Stress Triaxiality on Ductile Fracture – Material Dependence and Effect of Stress Relief Annealing
,”
J. Soc. Mater. Sci. Jpn.
0514-5163,
34
, pp.
622
626
, in Japanese.
30.
Toyoda
,
M.
,
Ohata
,
M.
,
Ayukawa
,
N.
,
Ohwaki
,
G.
,
Ueda
,
Y.
, and
Takeuchi
,
I.
, 2000, “
Ductile Fracture Initiation Behavior of Pipe Under a Large Scale of Cyclic Bending
,”
Proceedings of the 3rd International Pipeline Technology Conference
, Vol.
2
, pp.
87
102
.
31.
Andrews
,
R. M.
, and
Garwood
,
S. J.
, 2001, “
An Analysis of Fracture Under Biaxial Loading Using the Non-Singular T-Stress
,”
Fatigue Fract. Eng. Mater. Struct.
8756-758X,
24
, pp.
53
62
.
32.
Anderson
,
T. L.
, and
Dodds
,
R. H.
, 1991, “
Specimen Size Requirements for Fracture Toughness Testing in the Transition Region
,”
J. Test. Eval.
0090-3973,
19
, pp.
123
134
.
33.
Minami
,
F.
,
Katou
,
T.
,
Nakamura
,
T.
, and
Arimochi
,
K.
, 1999, “
Equivalent CTOD Concept for Fracture Toughness Requirement of Materials for Steel Structures
,”
Proceedings of the 18th International Conference on Offshore Mechanics and Arctic Engineering (OMAE)
, St. John’s, Newfoundland, Canada, Paper No. OMAE99/MAT-2130.
34.
Minami
,
F.
, and
Arimochi
,
K.
, 2004, “
Constraint Correction of Fracture Toughness CTOD for Fracture Performance Evaluation of Structural Components, Predictive Material Modeling: Combining Fundamental Physics Understanding Computational Method and Empirically Observed Behavior
,”
ASTM STP 1429
, pp.
48
66
.
35.
Ohata
,
M.
,
Fukahori
,
T.
, and
Minami
,
F.
, 2008, “
Mechanical Properties Controlling Ductile Crack Growth of Structural Steel—Simulation of Ductile Crack Growth
,”
Tetsu to Hagane
0021-1575,
94
, pp.
57
65
, in Japanese.
You do not currently have access to this content.