The present study examines the mechanical behavior of steel process piping elbows, subjected to strong cyclic loading conditions. The work is numerical, supported by experimental data on elbow specimens subjected to in-plane cyclic bending, with or without internal pressure, resulting in failure in the low-cycle-fatigue range. The investigation of elbow behavior is conducted using rigorous finite element analysis accounting for measured elbow geometry and the actual material properties. An advanced cyclic plasticity material model is employed for the simulation of the tests. Emphasis is given on the value of local strain and its accumulation at the critical elbow location where cracking occurs. Based on the cyclic stress–strain curve of the material and the strain-based fatigue curve from the test data, the use of Neuber's formula leads to a fatigue analysis and design methodology, offering a simple and efficient tool for predicting elbow fatigue life.

References

1.
Suzuki
,
K.
,
2006
, “
Earthquake Damage to Industrial Facilities and Development of Seismic Vibration Control Technology—Based on Experience From the 1995 Kobe Earthquake
,”
J. Disaster Res.
,
1
(
2
), pp.
177
188
.
2.
Paolacci
,
F.
,
Reza
,
M. S.
, and
Bursi
,
O. S.
,
2011
, “
Seismic Design Criteria of Refinery Piping Systems
,”
COMPDYN 2011, Conference on Computational Methods in Structural Dynamics and Earthquake Engineering
, Corfu, Greece.
3.
Sobel
,
L. H.
, and
Newman
,
S. Z.
,
1980
, “
Comparison of Experimental and Simplified Analytical Results for the In-Plane Plastic Bending and Buckling of an Elbow
,”
ASME J. Pressure Vessel Technol.
,
102
, pp.
400
409
.10.1115/1.3263351
4.
Sobel
,
L. H.
, and
Newman
,
S. Z.
,
1986
, “
Simplified, Detailed and Isochronous Analysis and Test Results for the In-Plane Elastic-Plastic and Creep Behavior of an Elbow
,”
ASME J. Pressure Vessel Technol.
,
108
, pp.
297
304
.10.1115/1.3264789
5.
Dhalla
,
A. K.
,
1987
, “
Collapse Characteristics of a Thin-Walled Elbow
,”
ASME J. Pressure Vessel Technol.
,
109
, pp.
394
401
.10.1115/1.3264922
6.
Gresnigt
,
A. M.
,
1986
, “
Plastic Design of Buried Steel Pipelines in Settlement Areas
,”
Heron
,
31
(
4
), pp.
1
113
.
7.
Gresnigt
,
A. M.
, and
Van Foeken
,
R.
,
1995
, “
Strength and Deformation Capacity of Bends in Pipelines
,”
Int. J. Offshore Polar Eng.
,
5
(
4
), pp.
294
307
.
8.
Greenstreet
,
W. L.
,
1978
, “
Experimental Study of Plastic Responses of Pipe Elbows
,” Report No. ORNL/NUREG-24, Contract No. W-7405-eng-26.
9.
Hilsenkopf
,
P.
,
Boneh
,
B.
, and
Sollogoub
,
P.
,
1988
, “
Experimental Study of Behavior and Functional Capability of Ferritic Steel Elbows and Austenitic Stainless Steel Thin-Walled Elbows
,”
Int. J. Pressure Vessels Piping
,
33
, pp.
111
128
.10.1016/0308-0161(88)90065-8
10.
Tan
,
Y.
,
Matzen
, V
. C.
, and
Yu
,
L. X.
,
2002
, “
Correlation of Test and FEA Results for the Nonlinear Behavior of Straight Pipes and Elbows
,”
ASME J. Pressure Vessel Technol.
,
124
(4), pp.
465
475
.10.1115/1.1493806
11.
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.
,
120
(1), pp.
35
42
.10.1115/1.2841882
12.
Mourad
,
H. M.
, and
Younan
,
M. Y. A.
,
2001
, “
Nonlinear Analysis of Pipe Bends Subjected to Out-of-Plane Moment Loading and Internal Pressure
,”
ASME J. Pressure Vessel Technol.
,
123
(
2
), pp.
253
258
.10.1115/1.1310335
13.
Chattopadhyay
,
J.
,
Nathani
,
D. K.
,
Dutta
,
B. K.
, and
Kushwaha
,
H. S.
,
2000
, “
Closed-Form Collapse Moment Equations of Elbows Under Combined Internal Pressure and In-Plane Bending Moment
,”
ASME J. Pressure Vessel Technol.
,
122
(4), pp.
431
436
.10.1115/1.1285988
14.
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.
,
125
(
4
), pp.
393
402
.10.1115/1.1613949
15.
Karamanos
,
S. A.
,
Tsouvalas
,
D.
, and
Gresnigt
,
A. M.
,
2006
., “
Ultimate Bending Capacity and Buckling of Pressurized 90 Deg Steel Elbows
,”
ASME J. Pressure Vessel Technol.
,
128
(
3
), pp.
348
356
.10.1115/1.2217967
16.
Pappa
,
P.
,
Tsouvalas
,
D.
,
Karamanos
,
S. A.
, and
Houliara
,
S.
,
2008
, “
Ultimate Capacity of Pipe Bends Under Bending and Pressure
,” Offshore Mechanics and Arctic Engineering Conference, Estoril, Portugal,
ASME
Paper No. OMAE2008-57358. 10.1115/OMAE2008-57358
17.
Yahiaoui
,
K.
,
Moffat
,
D. G.
, and
Moreton
,
D. N.
,
1996
, “
Response and Cyclic Strain Accumulation of Pressurized Piping Elbows Under Dynamic In-Plane Bending
,”
J. Strain Anal. Eng. Des.
,
31
(
2
), pp.
135
151
.10.1243/03093247V312135
18.
Yahiaoui
,
K.
,
Moreton
,
D. N.
, and
Moffat
,
D. G.
,
1996
, “
Response and Cyclic Strain Accumulation of Pressurized Piping Elbows Under Dynamic Out-of-Plane Bending
,”
J. Strain Anal. Eng. Des.
,
31
(
2
), pp.
153
166
.10.1243/03093247V312153
19.
Moreton
,
D. N.
,
Yahiaoui
,
K.
, and
Moffat
,
D. G.
,
1996
, “
Onset of Ratchetting in Pressurised Piping Elbows Subjected to In-Plane Bending Moments
,”
Int. J. Pressure Vessels Piping
,
68
(
1
), pp.
73
79
.10.1016/0308-0161(94)00041-7
20.
Slagis
,
G. C.
,
1998
,
Experimental Data on Seismic Response of Piping Components
,
ASME J. Pressure Vessel Technol.
,
120
(4), pp.
449
455
.10.1115/1.2842358
21.
Fujiwaka
,
T.
,
Endou
,
R.
,
Furukawa
,
S.
,
Ono
,
S.
, and
Oketani
,
K.
,
1999
, “
Study on Strength of Piping Components Under Elastic-Plastic Behavior due to Seismic Loading
,”
PVP Conference, Seismic Engineering
, PVP-Vol. 137.
22.
DeGrassi
,
G.
,
Hofmayer
,
C.
,
Murphy
,
A.
,
Suzuki
,
K.
, and
Namita
,
Y.
,
2003
, “
BNL Nonlinear Pre-Test Seismic Analysis for the NUPEC Ultimate Strength Piping Test Program
,”
Transaction of SMiRT 17 Conference
.
23.
Balan
,
C.
, and
Redekop
,
D.
,
2005
, “
The Effect of Bidirectional Loading on Fatigue Assessment of Pressurized Piping Elbows With Local Thinned Areas
,”
Int. J. Pressure Vessels Piping
,
82
, pp.
235
242
.10.1016/j.ijpvp.2004.07.020
24.
Rahman
,
S. M.
, and
Hassan
,
T.
,
2009
, “
Simulation of Ratcheting Responses of Elbow Piping Components
,”
ASME Pressure Vessels and Piping Division Conference
, Prague, Czech Republic, July 26–30,
ASME
Paper No. PVP2009-77819, pp. 103–10810.1115/PVP2009-77819.
25.
Pappa
,
P.
,
Varelis
,
G. E.
,
Vathi
,
M.
,
Perdikaris
,
P. C.
,
Karamanos
,
S. A.
,
Ferino
,
J.
,
Lucci
,
A.
,
Mecozzi
,
E.
,
Demofonti
,
G.
,
Gresnigt
,
A. M.
,
Dijkstra
,
G. J.
,
Reza
,
S.
,
Kumar
,
A.
,
Paolacci
,
F.
,
Bursi
,
O. S.
,
Kopp
,
M.
,
Pinkawa
,
M.
,
Wieschollek
,
M.
,
Hoffmeister
,
B.
,
Stamou
,
A.
,
Diamanti
,
K.
,
Papatheocharis
,
T.
,
Botsis
,
C.
,
Chandrinos
, I
.
, and
Doukas
I.
,
2013
, “
Structural Safety of Industrial Steel Tanks, Pressure Vessels and Piping Systems Under Seismic loading
,” INDUSE RFCS project, Volos, Greece, http://bookshop.europa.eu
26.
Varelis
,
G. E.
,
Pappa
,
P.
, and
Karamanos
,
S. A.
,
2011
, “
Finite Element Analysis of Industrial Steel Elbows Under Strong Cyclic Loading
,”
Pressure Vessel and Piping Conference
, ASME, Baltimore, MD, July 17–21,
ASME
Paper No. PVP2011-57260, pp. 109–11910.1115/PVP2011-57260
27.
Varelis
,
G. E.
,
Karamanos
,
S. A.
, and
Gresnigt
,
A. M.
,
2013
, “
Steel Elbow Response Under Strong Cyclic Loading
,”
ASME J. Pressure Vessel Technol.
,
135
(
1
), p.
011207
.10.1115/1.4007293
28.
Varelis
,
G. E.
,
Ferino
,
J.
,
Karamanos
,
S. A.
,
Lucci
,
A.
, and
Demofonti
,
G.
,
2013
, “
Experimental and Numerical Investigation of Pressurized Pipe Elbows Under Strong Cyclic Loading
,”
Pressure Vessel and Piping Conference
, ASME, Paris, France, July 14–18,
ASME
Paper No. PVP2013-97977, p. V008T08A022.10.1115/PVP2013-97977
29.
European Convention for Constructional Steelwork,
1986
, “
Recommended Testing Procedure for Assessing the Behavior of Structural Steel Elements Under Cyclic Loads
,” ECCS Publication No. 45, Belgium.
30.
Centro Sviluppo Materiali,
2011
, “
Cyclic Loading on P355N Steel Grade Material Coupons
,” CSM Internal Report, INDUSE RFCS Project.
31.
Tseng
,
N. T.
, and
Lee
,
G. C.
,
1983
, “
Simple Plasticity Model of the Two-Surface Type
,”
ASCE J. Eng. Mech.
,
109
, pp.
795
810
.10.1061/(ASCE)0733-9399(1983)109:3(795)
32.
Lee
,
M.-G.
,
Kim
,
D.
,
Kim
,
Ch.
,
Wenner
,
M. L.
,
Wagoner
,
R. H.
, and
Chung
,
K.
,
2007
, “
A Practical Two-Surface Plasticity Model and Its Application to Spring-Back Prediction
,”
Int. J. Plast.
,
23
, pp.
1189
1212
.10.1016/j.ijplas.2006.10.011
33.
Varelis
,
G. E.
,
2013
, “
Numerical Simulation of Steel Members Response Under Strong Cyclic Loading
,” Ph.D. dissertation, Department of Mechanical Engineering, University of Thessaly, Volos, Greece.
34.
Dama
,
E.
,
Karamanos
,
S. A.
, and
Gresnigt
,
A. M.
,
2007
, “
Failure of Locally Buckled Pipelines
,”
ASME J. Pressure Vessel Technol.
,
129
(
2
), pp.
272
279
.10.1115/1.2716431
35.
Neuber
,
H.
,
1961
, “
Theory of Stress Concentration for Shear Strained Prismatical Bodies With Arbitrary Nonlinear Stress Strain Law
,”
ASME J. Appl. Mech.
,
28
(4), pp.
544
550
.10.1115/1.3641780
36.
Van der Vegte
,
G. J.
,
de Back
,
J.
, and
Wardenier
,
J.
,
1989
, “
Low Cycle Fatigue of Welded Structures
,” Delft University of Technology, Stevin Report No. 25.6.89.09/A1.
37.
American Society of Mechanical Engineers,
2006
,
Process Piping, B31.3, ASME Code for Pressure Piping
, New York.
38.
Comité Européen de Normalisation,
2002
,
Metallic Industrial Piping—Part 3: Design and Calculation
, EN13480-3, Brussels.
39.
American Society of Mechanical Engineers,
2010
,
Boiler and Pressure Vessel Code Section III: Rules for Construction of Nuclear Facility Components
, Mandatory Appendix I.
You do not currently have access to this content.