The strain-based approach to fatigue life prediction usually relies on the conventional strain-life equation which correlates the elastic and plastic strain to the life. The correlation is based on separate log-linear curve fits of the elastic and plastic components of the strain data versus the life. It is well known, however, that these linear relationships may be valid only within a specific interval of stress or strain. When material behavior approaches elastic-perfectly plastic, for instance, it is not uncommon for the test data to deviate from linearity at both very high and very low strains. For such materials a separate fit of each curve is likely to give material constants significantly inconsistent with the fit of the cyclic stress-strain curve, especially if a good local fit over a restricted interval is obtained. In this work, some of the errors that arise as a result of this inconsistency are described, and recommended methods are developed for treating these errors. Numerical concerns are also addressed, and sample results are included.

1.
ASTM, 1980, “Standard Practice for Statistical Analysis of Linear or Linearized Stress-life (S – N) and Strain-life (ε – N) Fatigue Data,” ASTM Standard, Designation: E 739–80.
2.
Buch
A.
,
1990
, “
Prediction of Constant Amplitude Fatigue Life to Failure Under Pulsating Tension by Use of the Local-Strain Approach
,”
International Journal of Fatigue
, Vol.
12:6
, pp.
505
512
.
3.
Coffin
L. F.
,
1954
, “
A Study of the Effects of Cyclic Thermal Stresses on a Ductile Metal
,”
Transactions of the ASME
, Vol.
76
, pp.
931
950
.
4.
Dowling
N. E.
,
1988
, “
Estimation and Correlation of Fatigue Lives for Random Loading
,”
International Journal of Fatigue
, Vol.
10:3
, pp.
179
185
.
5.
Dowling, N. E., 1993, Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Prentice-Hall, Englewood Cliffs, NJ.
6.
Fash
J.
, and
Socie
D. F.
,
1982
, “
Fatigue Behavior and Mean Effects in Grey Cast Iron
,”
International Journal of Fatigue
, Vol.
4:3
, pp.
137
142
.
7.
Forsetti
P.
, and
Blasarin
A.
,
1988
, “
Fatigue Behavior of Microalloyed Steels for Hot-Forged Mechanical Components
,”
International Journal of Fatigue
, Vol.
10:3
, pp.
153
161
.
8.
Koh
S. K.
, and
Stephens
R. I.
,
1991
, “
Mean Stress Effects on Low Cycle Fatigue for a High Strength Steel
,”
Fatigue and Fracture of Engineering Materials and Structures
, Vol.
14:4
, pp.
413
428
.
9.
Manson, S. S., 1954, “Behavior of Materials Under Conditions of Thermal Stress,” Technical report, Lewis Flight Propulsion Laboratory, Cleveland, NACA Report 1170.
10.
Marquardt
D. W.
,
1963
, “
An Algorithm for Least-Squares Estimation of Nonlinear Parameters
,”
Journal of the Society of Industrial Applied Mathematics
, Vol.
11:2
, pp.
431
441
.
11.
Morrow, J., 1964, “Cyclic Plastic Strain Energy and Fatigue of Metals, STP 378,” Internal Friction, Damping, and Cyclic Plasticity, pp. 45–84, American Society for Testing and Materials.
12.
Nihei
M.
,
Heuler
P.
,
Boiler
C.
, and
Seeger
T.
,
1986
, “
Evaluation of Mean Stress Effect on Fatigue Life by Use of Damage Parameter
,”
International Journal of Fatigue
, Vol.
8:3
, pp.
119
126
.
13.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1992, Numerical Recipes in C, Cambridge University Press, Cambridge, 2nd edition.
14.
Ramberg, W., and Osgood, W. R., 1943, “Description of Stress-Strain Curves by Three Parameters,” National Advisory Committee on Aeronautics, Technical Note 902.
15.
Smith
R. N.
,
Watson
P.
, and
Topper
T. H.
,
1970
, “
Stress Strain Function for the Fatigue of Metals
,”
Journal of Materials
, Vol.
5:4
, pp.
767
778
.
16.
Spindel, J. E., and Haibach, E., 1981, “Some Considerations in the Statistical Determination of the Shape of S — N Curves,” Little, R. E. and Ekvall, J. C., eds.,Statistical Analysis of Fatigue Data, ASTM STP 744, pp. 89–113. American Society for Testing and Materials.
17.
Tucker, L., and Bussa, S., 1977, “The SAE Cumulative Fatigue Damage Test Program,” Wetzel, R. M., ed., Fatigue Under Complex Loading: Analysis and Experiments, pp. 3–14, Society of Automotive Engineers, Warrendale, PA.
18.
Wehner
T.
, and
Fatemi
A.
,
1991
, “
Effect of Mean Stress on Fatigue Behavior of a Hardened Carbon Steel
,”
International Journal of Fatigue
, Vol.
13:3
, pp.
241
248
.
19.
Weibull
W.
,
1949
, “
Statistical Representation of Fatigue Failure in Solids
,”
Kungl. Tekniska Ho¨gskolans—Handlingar (Transactions of the Royal Institute of Technology)
, Vol.
27
, pp.
1
51
.
20.
Yan
X.
,
Cordes
T. S.
,
Vogel
J. H.
, and
Dindinger
p. M.
,
1992
, “
A Property Fitting Approach for Improved Estimates of Small Cycle Fatigue Damage
,”
SAE Transactions, Journal of Materials & Manufacturing
, Vol.
101
:
5
, pp.
544
553
, Technical Paper Series No. 920665.
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