Abstract

Mixing flow causes fluctuations in fluid temperature near a pipe wall and may result in fatigue crack initiation. Movement of the hot spot, at which the pipe inner surface was heated by hot flow from the branch pipe, causes thermal stress fluctuations. In this study, the effect of the loading sequence on thermal fatigue in a mixing tee was investigated. In addition, the prediction method of the fatigue life for the variable thermal strain in the mixing tee was discussed. The time histories of the strain around the hot spot were estimated by finite element analysis for which the temperature condition was determined by wall temperature measured in a mockup test. The accumulated fatigue damage around the hot spot obtained by Miner's rule was less than 1.0. Since the strain around the hot spot had waveforms with periodic overload, the loading sequence with periodic overload caused reduction of the fatigue life around the hot spot. Crack growth tests showed that a single overload decreased crack opening strain and increased the effective strain range. The increment of the effective strain range accelerated the crack growth rate after the overload. The accumulated fatigue damage for the strain in the mixing tee was calculated using Miner's rule and the strain ranges, which added the maximum increment of the effective strain range. The accumulated fatigue damage was larger than 1.0 under most conditions. The proposed procedure is suitable to predict the conservative fatigue life in a mixing tee.

References

1.
Chapuliot
,
S.
,
Gourdin
,
C.
,
Payen
,
T.
,
Magnaud
,
J. P.
, and
Monavon
,
A.
,
2005
, “
Hydro-Thermal-Mechanical Analysis of Thermal Fatigue in a Mixing Tee
,”
Nucl. Eng. Des.
,
235
(
5
), pp.
575
596
.10.1016/j.nucengdes.2004.09.011
2.
McDevitt
,
M.
,
Hoehn
,
M.
,
Childress
,
T.
, and
McGill
,
R.
,
2015
, “
Analysis and Impact of Recent U.S. Thermal Fatigue Operating Experience
,”
Fourth International Conference on Fatigue of Nuclear Reactor Components
, Seville, Spain, Sept. 28–Oct. 1, Paper No. 27.
3.
JSME (Japan Society of Mechanical Engineers)
,
2003
,
Guideline for Evaluation of High-Cycle Thermal Fatigue of a Pipe
,
JSME
, Japan, p.
S017
.
4.
Fissolo
,
A.
, and
Stelmaszyk
,
J. M.
,
2009
, “
A first Investigation on Cumulative Fatigue Life for a Type 304-L Stainless Steel Used for Pressure Water Reactor
,”
ASME
Paper No. PVP2009-77156.10.1115/P VP2009-77156
5.
Kamaya
,
M.
, and
Kawakubo
,
M.
,
2015
, “
Loading Sequence Effect on Fatigue Life of Type 316 Stainless Steel
,”
Int. J. Fatigue
,
81
, pp.
10
20
.10.1016/j.ijfatigue.2015.07.009
6.
Kikukawa
,
M.
,
Jono
,
M.
,
Kamata
,
T.
,
Sone
,
J.
, and
Himuro
,
H.
,
1976
, “
Low Cycle Fatigue Under Varying Strain Conditions (Effects of Mean Plastic Strain and Stress)
,”
Trans. Jpn. Soc. Mech. Eng.
,
42
(
358
), pp.
1625
1632
(in Japanese).10.1299/kikai1938.42.1625
7.
Ozeki
,
H.
,
Hasunuma
,
S.
, and
Ogawa
,
T.
,
2013
, “
The Effect of Variable Amplitude Strain Conditions on Low Cycle Fatigue Strength of Stainless Steel SUS316 L
,”
J. Soc. Mater. Sci.
,
62
(
3
), pp.
201
206
(in Japanese).10.2472/jsms.62.201
8.
Chopra
,
O. K.
, and
Shack
,
W. J.
,
2002
, “
Review of the Margins for ASME Code Fatigue Design Curve - Effects of Surface Roughness and Material Variability
,” U.S. Nuclear Regulatory Commission Office, Washington, DC, Report No. NUREG/CR-6815, ANL-02/39.
9.
Miyoshi
,
K.
,
Nakamura
,
A.
,
Utanohara
,
Y.
, and
Takenaka
,
N.
,
2014
, “
An Investigation of Wall Temperature Characteristics to Evaluate Thermal Fatigue at a T–Junction Pipe
,”
Mech. Eng. J.
,
1
(
5
), pp.
tep0050
TEP0050
.10.1299/mej.2014tep0050
10.
Miyoshi
,
K.
,
Kamaya
,
M.
,
Utanohara
,
Y.
, and
Nakamura
,
A.
,
2016
, “
An Investigation of Thermal Stress Characteristics by Wall Temperature Measurements at a Mixing Tee
,”
Nucl. Eng. Des.
,
298
, pp.
109
120
.10.1016/j.nucengdes.2015.12.004
11.
Kamaya
,
M.
, and
Miyoshi
,
K.
,
2017
, “
Thermal Fatigue Damage Assessment at Mixing Tees (Elastic-Plastic Deformation Effect on Stress and Strain Fluctuations)
,”
Nucl. Eng. Des.
,
318
, pp.
202
212
.10.1016/j.nucengdes.2017.04.022
12.
Kamaya
,
M.
, and
Kawakubo
,
M.
,
2015
, “
Mean Stress Effect on Fatigue Strength of Stainless Steel
,”
Int. J. Fatigue
,
74
, pp.
20
29
.10.1016/j.ijfatigue.2014.12.006
13.
JSMS (Society of Materials Science, Japan)
,
2004
, “
Standard Evaluation Method of Fatigue Reliability for Metallic Materials – Standard Regression Method of S-N Curves
,” JSMS, Japan, JSMS-SD-6-04.
14.
Geary
,
W.
,
1992
, “
A Review of Some Aspects of Fatigue Crack Growth Under Variable Amplitude Loading
,”
Int. J. Fatigue
,
14
(
6
), pp.
377
386
.10.1016/0142-1123(92)90225-2
15.
Kamaya
,
M.
,
2015
, “
Low-Cycle Fatigue Crack Growth Prediction by Strain Intensity Factor
,”
Int. J. Fatigue
,
72
, pp.
80
89
.10.1016/j.ijfatigue.2014.11.002
16.
Tada
,
H.
,
Paris
,
P. C.
, and
Irwin
,
G. R.
,
2000
,
The Stress Analysis of Cracks Handbook
, 3rd ed.,
ASME
, New York, p.
53
.
17.
Jono
,
M.
,
Kanaya
,
T.
,
Sugeta
,
A.
, and
Kikukawa
,
M.
,
1983
, “
Retardation of Fatigue Crack Propagation Under Plain Stain Condition Due to a Single Overload
,”
Materials
,
32
(
363
), pp.
1383
1389
(in Japanese).https://www.jstage.jst.go.jp/article/jsms1963/32/363/32_363_1383/_pdf
18.
Makabe
,
C.
,
McEvily
,
A. J.
,
Purnowidodo
,
A.
, and
Yamauchi
,
A.
,
2003
, “
Effects of Negative Stress Ratios on Crack Propagation Behavior After an Overload
,”
Int. J. Mod. Phys. B
,
17
(
08n09
), pp.
1580
1586
.10.1142/S0217979203019356
19.
Makabe
,
C.
,
Purnowidodo
,
A.
, and
McEvily
,
A. J.
,
2004
, “
Effects of Surface Deformation and Crack Closure on Fatigue Crack Propagation After Overloading and Underloading
,”
Int. J. Fatigue
,
26
(
12
), pp.
1341
1348
.10.1016/j.ijfatigue.2004.03.017
20.
Matsuoka
,
S.
,
Tanaka
,
K.
, and
Kawahara
,
M.
,
1976
, “
The Retardation Phenomenon of Fatigue Crack Growth in HT80 Steel
,”
Eng. Fract. Mech.
,
8
(
3
), pp.
507
523
.10.1016/0013-7944(76)90005-9
21.
Shin
,
C. S.
, and
Hsu
,
S. H.
,
1993
, “
On the Mechanisms and Behavior of Overload Retardation in AISI 304 Stainless Steel
,”
Int. J. Fatigue
,
15
(
3
), pp.
181
192
.10.1016/0142-1123(93)90175-P
22.
Skorupa
,
M.
,
Schijve
,
J.
,
Skorupa
,
A.
, and
Machniewicz
,
T.
,
1999
, “
Fatigue Crack Growth in a Structural Steel Under and Multiple Periodic Overload Cycles
,”
Fatigue Fract. Eng. Mater. Struct.
,
22
(
10
), pp.
879
887
.10.1046/j.1460-2695.1999.00219.x
23.
Ward-Close
,
C. M.
,
Blom
,
A. F.
, and
Ritchie
,
R. O.
,
1989
, “
Mechanisms Associated With Transient Fatigue Crack Growth Under Variable-Amplitude Loading: An Experimental and Numerical Study
,”
Eng. Fract. Mech.
,
32
(
4
), pp.
613
638
.10.1016/0013-7944(89)90195-1
24.
Wheatley
,
G.
,
Hu
,
X. Z.
, and
Estrin
,
Y.
,
1999
, “
Effects of a Single Tensile Overload on Fatigue Crack Growth in a 316 L Steel
,”
Fatigue Fract. Eng. Mater. Struct.
,
22
, pp.
1041
1051
.10.1046/j.1460-2695.1999.00225.x
25.
Zheng
,
X.
,
Cui
,
H.
,
Engler-Pinto
,
C. C.
,
Su
,
X.
, and
Wen
,
W.
,
2014
, “
Numerical Modeling of Fatigue Crack Propagation Based on the Theory of Critical Distances: Effects of Overloads and Underloads
,”
Eng. Fract. Mech.
,
128
, pp.
91
102
.10.1016/j.engfracmech.2014.07.006
26.
Kamaya
,
M.
, and
Kawakubo
,
M.
,
2012
, “
Strain-Based Modeling of Fatigue Crack Growth – an Experimental Approach for Stainless Steel
,”
Int. J. Fatigue
,
44
, pp.
131
140
.10.1016/j.ijfatigue.2012.05.006
27.
Kamaya
,
M.
, and
Kawakubo
,
M.
,
2012
, “
Damage Assessment of Low-Cycle Fatigue by Crack Growth Prediction (Development of Growth Prediction Model and Its Application)
,”
Trans. Jpn. Soc. Mech. Eng., Ser. A
,
78
(
795
), pp.
1518
1533
(in Japanese).10.1299/kikaia.78.1518
You do not currently have access to this content.