The purpose, methods for the analysis, software requirements, and meaning of the results of the local strain approach are discussed for fatigue evaluation of a pressure vessel or its component designed for cyclic service. Three methods that are consistent with the approach are evaluated: the cycle-by-cycle method and two half-cycle methods, twice-yield and Seeger’s. For the cycle-by-cycle method, the linear kinematic hardening model is identified as the cyclic plasticity model that produces results consistent with the local strain approach. A total equivalent strain range, which is entered on a material strain-life curve to read cycles, is defined for multiaxial stress situations

1.
Coffin
,
L. F.
, Jr.
, 1973, “
Fatigue at High Temperature
,” Fatigue at Elevated Temperatures, American Soc. for Testing and Materials, ASTM STP 520, pp.
5
34
.
2.
Dowling
,
N. E.
,
Brose
,
W. R.
, and
Wilson
,
W. K.
, 1977, “
Notched Member Life Predictions by the Local Strain Approach
,”
Fatigue Under Complex Loading—Analysis and Experiments
,
Society of Automotive Engineers
,
Warrendale, PA
.
3.
Dowling
,
N. E.
, 1999,
Mechanical Behavior of Materials
,
2nd ed.
,
Prentice Hall
,
Englewood Cliffs, NJ
.
4.
ASME
, 2004,
ASME Boiler and Pressure Vessel Code
,
ASME
,
New York
.
5.
Kalnins
,
A.
, and
Dowling
,
N. E.
, 2004, “
Design Criterion of Fatigue Analysis on Plastic Basis by ASME Boiler and Pressure Vessel Code
,”
ASME J. Pressure Vessel Technol.
0094-9930,
126
, pp.
461
465
.
6.
Lefebre
,
D.
, and
Ellyin
,
F.
, 1984, “
Cyclic Response and Inelastic Strain Energy in Low Cycle Fatigue
,”
Int. J. Fatigue
0142-1123,
6
, pp.
9
15
.
7.
Maddox
,
S. J.
, 1998,
Fatigue Strength of Welded Structures
,
2nd ed.
,
Abington Publishing
,
Cambridge, England
.
8.
Dong
,
P.
,
Hong
,
J. K.
,
Osage
,
D. A.
, and
Prager
,
M.
, 2003, “
Master S-N Curve Method for Fatigue Evaluation of Welded Components
,”
Weld. Res. Counc. Bull.
0043-2326,
474
, pp.
1
50
.
9.
Itoh
,
T.
,
Sakane
,
M.
,
Ohnami
,
M.
, and
Socie
,
D. F.
, 1995, “
Nonproportional Low Cycle Fatigue Criterion for Type 304 Stainless Steel
,”
ASME J. Eng. Mater. Technol.
0094-4289,
117
, pp.
285
292
.
10.
Kalnins
,
A.
, 2003, “
Fatigue Analysis of Pressure Vessels Based on Individual Stress-Strain Cycles
,”
J. L.
Zeman
, ed.,
Proc. ICPVT-10
,
Vienna
, July 7–10, Oesterr. Ges. f. Schweisstechnik, Vienna, pp.
349
356
.
11.
ABAQUS Finite Element Program, Version 6.1, Hibbitt, Karlsson, and Sorensen, Inc., Pawtucket, RI, by Educational License to Lehigh University.
12.
Armstrong
,
P. J.
, and
Frederick
,
C. O.
, 1966, “
A Mathematical Representation of the Multiaxial Bauschinger Effect
,” Berkeley Nuclear Laboratories, R&D Department Report No. RD/B/N/731.
13.
Chaboche
,
J.-L.
, “
Time-independent Constitutive Theories for Cyclic Plasticity
,”
Int. J. Plast.
0749-6419,
2
(
2
), pp.
149
188
.
14.
Ellyin
,
F.
, 1997,
Fatigue Damage, Crack Growth and Life Prediction
,
Chapman and Hall
,
London
.
15.
ANSYS Finite Element Program, Southpointe, Canonsburg, PA.
16.
Mroz
,
Z.
, 1973, “
Boundary-Value Problems in Cyclic Plasticity
,”
Second Int. Conf. on Structural Mechanics in Reactor Technology
,
Berlin
, Vol.
6B
, Part L, Paper No. L7/6.
17.
Dowling
,
N. E.
, 1978, “
Stress-Strain Analysis of Cyclic Plastic Bending and Torsion
,”
ASME J. Eng. Mater. Technol.
0094-4289,
100
, pp.
157
163
.
18.
Dowling
,
N. E.
, and
Wilson
,
W. K.
, 1979, “
Analysis of Notch Strain for Cyclic Loading
,”
5th Int. Conf. on Structural Mechanics in Reactor Technology
, Vol.
L
,
Berlin
, Paper No. L13/4, pp.
1
8
.
19.
Kalnins
,
A.
, 2001, “
Fatigue Analysis of Pressure Vessels With Twice-Yield Plastic FEA
,” ASME Bound Vol.
419
, pp.
43
52
.
20.
Seeger
,
T.
, 1996, “
Grundlagen fűr Betriebsfestigkeits-nachweise
,” Stahlbauhandbuch, Band 1, Teil B, Stahlbau-Verlagsgesellschaft, Kőln.
21.
Rudolph
,
J.
, and
Weiss
,
E.
, 2003, “
Service Durability of TIG Dressed and Ground Weld Seams Subjected to Proportional Loading Criteria
,”
Proc. ICPVT-10
,
J. L.
Zeman
, ed.,
Vienna
, July 7–10, Oesterr. Ges. f. Schweisstechnik, Vienna, pp.
465
475
.
22.
Kalnins
,
A.
,
Updike
,
D. P.
, and
Park
,
I.
, 1999, “
Evaluation of Fatigue in the Knuckle of a Torispherical Head in the Presence of a Nozzle
,” Welding Research Council Progress Report, Sept./Oct., pp.
31
93
.
23.
Reinhardt
,
W.
, 2005, “
Strain Measures for Fatigue Assessment Using Elastic-Plastic FEA
,”
ASME PVP Conference
, July,
Denver
, PVP2005–71547.
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