This paper proposes a new failure assessment method for a steel pipe bend subjected to both a bending moment and internal pressure. Consistent with previous studies, it was shown that the maximum bending moment of a pipe bend subjected to a bending moment increases with the addition of internal pressure. However, it was experimentally confirmed that the addition of this internal pressure has the detrimental effect of significantly reducing the critical deformation (maximum bending angle) of the pipe bend. In addition, it was found that, subsequent to the application of a large deflection, cracks initiate at the most deformed part of the pipe bend during the process of unloading the internal pressure and then the applied load. Herein, the authors propose a practical failure assessment method which uses small-scale tests and nonlinear finite element (FE) analyses to predict the critical deformation and crack initiation position for a full-scale pipe bend. The failure criterion, which uses principal stress, mean stress, and equivalent plastic strain, was developed using small-scale tests. A failure assessment was conducted by comparing the predictions of this criterion with stress and strain histories obtained from FE analyses. Also, the authors’ failure criterion was compared with previous failure criteria, and the advantages/disadvantages discussed.

1.
Von Karman
,
T. H.
, 1911, “
Uber die Formanderung Dunnwandieger Rohe, Insbersondere Federnder Ausgliechrohre
,”
Zeitschrift des vereines deutsher ingenieure
,
55
, pp.
1889
1895
.
2.
Rodabough
,
E. C.
, and
George
,
H. H.
, 1957, “
Effect of Internal Pressure on Flexibility and Stress-Intensification Factors of Curved Pipe or Welding Elbows
,”
Trans. ASME
0097-6822,
79
, pp.
939
948
.
3.
Shalaby
,
M. A.
, and
Younan
,
M. Y. A.
, 1998, “
Limit Loads for Pipe Elbows With Internal Pressure Under In-Plane Closing Bending Moments
,”
ASME J. Pressure Vessel Technol.
0094-9930,
120
, pp.
35
42
.
4.
Karamanos
,
S. A.
,
Giakoumatos
,
E.
, and
Gresnigt
,
A. M.
, 2003, “
Nonlinear Response and Failure of Steel Elbows Under In-Plane Bending and Pressure
,”
ASME J. Pressure Vessel Technol.
0094-9930,
125
, pp.
393
402
.
5.
Toyoda
,
M.
,
Ohata
,
M.
,
Ayukawa
,
N.
,
Ohwaki
,
G.
,
Ueda
,
Y.
, and
Takeuchi
,
I.
, 2000, “
Ductile Fracture Initiation Behavior Under a Large Scale of Cyclic Bending
,”
Proceedings of the 3rd Int. Pipeline Technology Conference
, Vol.
2
, pp.
87
102
.
6.
Japan Gas Association
, 2001, “
Recommended Practice for Design of Gas Transmission Pipelines Against Liquefaction
,” Japan Gas Association, Tokyo, Japan.
7.
Miki
,
C.
,
Oguchi
,
N.
,
Uchida
,
T.
,
Tatematsu
,
H.
, and
Yoshikawa
,
M.
, 2001, “
Deformation Properties of Steel Pipe Bend Subjected to In-plane Bending
,”
Proceedings of the 26th JSCE Earthquake Engineering Symposium
, pp.
897
900
.
8.
Yoshikawa
,
M.
,
Katoh
,
A.
, and
Suzuki
,
N.
, 2000, “
Fatigue Strength and Fatigue Damage Assessments of Steel Pipe Bend in Ultra Low Cycle
,” JCOSSAR 2000, pp.
525
532
.
9.
Katoh
,
A.
,
Suzuki
,
N.
,
Ono
,
Y.
, and
Yoshikawa
,
M.
, 1998, “
A Study on the Strength of Steel Pipe Bend Subjected to Large Displacement
,”
Proceedings of the ASME Pressure Vessel & Piping Conference
, Vol.
371
, pp.
101
106
.
10.
Bathe
,
K. J.
, 1996,
Finite Element Procedures
,
Prentice-Hall
, Englewood Cliffs, NJ.
11.
Bridgman
,
P. W.
, 1964,
Studies in Large Plastic Flow and Fracture
,
Harvard University Press
, Cambridge, MA.
12.
Uemura
,
M.
, 1960, “
On the Fracture of Metals
,”
J. Jpn. Soc. Technol. Plast.
0038-1586,
1
(
1
), pp.
13
22
.
13.
Mackenzie
,
A. C.
,
Hancock
,
J. W.
, and
Brown
,
D. K.
, 1977, “
On the Influence of State of Stress on Ductile Failure Initiation in High Strength Steels
,”
Eng. Fract. Mech.
0013-7944,
9
, pp.
167
188
.
14.
Otsuka
,
A.
,
Miyata
,
R.
,
Nishimura
,
S.
, and
Ohashi
,
M.
, 1981, “
On the Ductile and Brittle Fracture, and the Phenomenon of Ductile-Brittle Transition in Mild Steel
,”
J. Jpn. Soc. Technol. Plast.
0038-1586,
47
(
414
), pp.
294
307
.
15.
Yoshikawa
,
M.
,
Suzuki
,
N.
,
Katoh
,
A.
, and
Ono
,
Y.
, 1998, “
Influence of Stress and Strain State in Post-Buckling Failure for Steel Pipe Bend
,” J.S.M.E. M & M’98.
16.
Marcilio
,
A.
, and
Norman
,
M.
, 1999, “
Influence of Hydrostatic Stress on Failure of Axisymmetric Notched Specimens
,”
J. Mech. Phys. Solids
0022-5096,
47
, pp.
643
667
.
17.
Norris
,
D. M.
, Jr.
,
Reaugh
,
J. E.
,
Moran
,
B.
, and
Quinones
,
D. F.
, 1978, “
A Plastic-Strain, Mean-Stress Criterion for Ductile Failure
,”
ASME J. Eng. Mater. Technol.
0094-4289,
100
, pp.
279
286
.
18.
Tai
,
W. H.
, and
Yang
,
B. X.
, 1987, “
A New Damage Mechanics Criterion for Ductile Fracture
,”
Eng. Fract. Mech.
0013-7944,
27
(
4
), pp.
371
378
.
19.
Tai
,
W. H.
, 1990, “
Plastic Damage and Ductile Fracture in Mild Steel
,”
Eng. Fract. Mech.
0013-7944,
37
(
4
), pp.
853
880
.
20.
Goto
,
M.
, 1982,
Mechanics of Plastic Materials
,
Corona Press
, Tokyo, Japan, p.
81
.
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