Introduction of a correction factor accounting for large mean plastic strain to the kinetic law for the rate of damage per cycle is proposed. Integration of the corrected kinetic damage law under the assumption of a stable hysteresis loop (constant strain amplitude, constant mean plastic strain) leads to a generalized Coffin-Manson formula. The formula is useful for calculation of the fatigue life of structures after transition of transient ratchetting to the plastic shakedown state. Integration of the damage law is performed also for the case of superimposed cyclic and monotonic strain. The results of calculations are compared with the experimental results reported by Coffin (1970) and described by the author using a quasilinear criterion. An improved fatigue failure criterion for this case is presented and a good convergence with the results of tests for Nickel A samples is shown.

Issue Section:
Technical Papers
Topics:
Accounting, Cycles, Damage, Fatigue failure, Fatigue life, Nickel, Transients (Dynamics)
1.
Chaboche
 
J. L.
,
1991
, “
On Some Modifications of Kinematic Hardening to Improve the Description of Ratchetting Effects
,”
Int. J. of Plasticity
, Vol.
7
, No.
7
, pp.
661
–
678
.
2.
Chaboche
 
J. L.
,
Nouailhas
 
D.
,
Paeon
 
D.
, and
Paulmier
 
P.
,
1991
, “
Modeling of the Cyclic Response and Ratchetting Effects on Inconel 718 Alloy
,”
European J. of Mechanics
, Vol.
10
, No.
1
, pp.
102
–
121
.
3.
Coffin
 
L. F.
,
1954
, “
A Study of the Effects of Cyclic Thermal Stresses on a Ductile Metal
,”
Trans. ASME
, Vol.
76
, pp.
931
–
950
.
4.
Coffin
 
L. F.
,
1970
, “
The Deformation and Fracture of a Ductile Metal Under Superimposed Cyclic and Monotonic Strain
,”
Achievements of High Fatigue Resistance in Metals and Alloys
, ASTM STP
467
, American Society for Testing and Materials, pp.
53
–
76
.
5.
Dubuc
 
J.
, et al.,
1970
, “
Effect of Mean Stress and of Mean Strain in Low-Cycle Fatigue of A-517 and A-201 Steels
,”
Journ. of Eng. for Ind.
, Vol.
92
, No.
1
, pp.
35
–
52
.
6.
Ellyin
 
F.
,
1985
, “
Effect of Tensile-Mean-Strain on Plastic Strain Energy and Cyclic Response
,”
Journ. of Eng. Mat. Techn.
, Vol.
107
, pp.
119
–
125
.
7.
Huebel, H., 1993, “Ratcheting Phenomena,” Proc. of SMiRT-12 Conf., Stuttgart, 1993, Elsevier Sci. Pub., pp. 183–196.
8.
Krajcinovic, D., Lemaitre, J., 1987, “Continuum Damage Mechanics—Theory and Applications,” CISM Lectures, Springer-Verlag.
9.
Lemaitre, J., 1992, “A Course on Damage Mechanics,” Springer-Verlag.
10.
Libertiny, G. Z., 1967–68, “Effect of Hydrostatic Pressure on the Short Life Fatigue Property of an Alloy Steel,” Proc. Inst. of Mech. Engineers, Vol. 182, Part 3C.
11.
Manson, S. S., 1954, “Behavior of Materials Under Conditions of Thermal Stress,” Technical Note No. 2933, Nat. Advisory Committee for Aeronautics, 1953; Report No. 1170.
12.
Rodzik, P., 1993, “Plastic Deformation of Metals Under Variable Loads,” Ph.D. thesis (in Polish), Institute for Fundamental Technological Research of the Polish Academy of Sciences, Warsaw.
13.
Sachs
 
G.
, et al.,
1960
, “
Low Cycle Fatigue of Pressure Vessel Materials
,”
ASTM
, Vol.
60
, pp.
512
–
529
.
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