Current research focuses on proportional cyclic hardening and non-Massing behaviors. The interaction of these two hardenings can result in the traditionally observed overall softening, hardening or mixed behavior exhibited for fully reversed strain controlled fatigue tests. Proportional experiments were conducted with five materials, 304 stainless steel, normalized 1070 and 1045 steels, and 7075-T6 and 6061-T6 aluminum alloys. All the materials display similar trends, but the 304 stainless steel shows the most pronounced transient behavior and will be discussed in detail. Existing algorithms for this behavior are evaluated in light of the recent experiments, and refinements to the Armstrong-Frederick class of incremental plasticity models are proposed. Modifications implemented are more extensive than the traditional variation of yield stress, and a traditional strain based memory surface is utilized to track deformation history. Implications of the deformation characteristics with regard to fatigue life estimation, especially variable amplitude loading, will be examined. The high-low step loading is utilized to illustrate the effect of transient deformation on fatigue life estimation procedures, and their relationship to the observed and modeled deformation.

1.
Armstrong, P. J., and Frederick, C. O., 1966, “A Mathematical Representation of the Multiaxial Bauschinger Effect,” Report RD/B/N 731, Central Electricity Generating Board.
2.
Benallal
A.
,
LeGallo
P.
, and
Marquis
D.
,
1989
, “
An Experimental Investigation of Cyclic Hardening of 316 Stainless Steel and of 2024 Aluminum Alloy under Multiaxial Loadings
,”
Nuclear. Engineering Design
, Vol.
114
, pp.
345
353
.
3.
Chaboche, J.-L., Dang Van, K., and Cordier, G., 1979, “Modelization of the Strain Memory Effect on the Cyclic Hardening of 316 Stainless Steel,” Trans SMiRT-5, Div. L, Berlin, L11/3.
4.
Chaboche, J.-L., 1987, “Cyclic Plasticity Modeling and Ratchetting Effects,” Desal et al., eds., Proc. Second International Conference; Constitutive Laws for Engineering Materials Theory and Applications, Tucson, AZ, Elsevier, pp. 47–58.
5.
Chaboche
J. L.
,
1989
, “
Constitutive Equations for Cyclic Plasticity and Cyclic Viscoplasticity
,”
International Journal of Plasticity
, Vol.
5
, pp.
247
302
.
6.
Chaboche
J. L.
,
Nouailhas
D.
,
Pacou
D.
, and
Paulmier
P.
,
1991
, “
Modeling of the Cyclic Response and Ratchetting Effects on Inconel-718 Alloy
,”
European Journal Mechanics, A/Solids
, Vol.
10
, pp.
101
121
.
7.
Chaboche
J. L.
,
1991
, “
On Some Modifications of Kinematic Hardening to Improve the Description of Ratchetting Effects
,”
International Journal of Plasticity
, Vol.
7
, pp.
661
687
.
8.
Dowling
N. E.
,
1972
, “
Notched Member Fatigue Life Predictions for Complicated Stress-Strain Histories
,”
ASTM, Journal of Materials
, Vol.
7
, pp.
71
87
.
9.
Fatemi
A.
, and
Socie
D. F.
,
1988
, “
A Critical Plane Approach to Multiaxial Fatigue Damage Including Out-of-Phase Loading
,”
Fatigue and Fracture of Materials and Structures
, Vol.
11
, pp.
149
165
.
10.
Fatemi
A.
, and
Kurath
P.
,
1988
, “
Multiaxial Fatigue Life Predictions Under the Influence of Mean Stress
,”
ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol.
110
, pp.
380
388
.
11.
Findley, W. N., 1959, “A Theory for the Effect of Mean Stress on Fatigue of Metals Under Combined Torsion and Axial Loading or Bending,” ASME Journal of Engineering for Industry, pp. 301–306.
12.
Hua, C.-T., 1984, “Fatigue Damage and Small Crack Growth During Biaxial Loading,” Ph.D dissertation, Department of Mechanical Engineering, University of Illinois at Urbana-Champaign.
13.
Jiang, Y., 1993, “Cyclic Plasticity with an Emphasis on Ratchetting,” Ph.D Dissertation, Department of Mechanical Engineering, University of Illinois at Urbana-Champaign.
14.
Jiang
Y.
, and
Kurath
P.
,
1996
a, “
A Theoretical Evaluation of the Incremental Plasticity Hardening Algorithms for Cyclic Non-proportional Loading
,”
Acta Mechanica
, Vol.
118
, pp.
213
234
.
15.
Jiang
Y.
, and
Kurath
P.
,
1996
b, “
Characteristics of the Armstrong-Frederick Type Plasticity Models
,”
International Journal of Plasticity
, Vol.
12
, pp.
387
415
.
16.
Jiang
Y.
, and
Sehitoglu
H.
,
1994
, “
Cyclic Ratchetting of 1070 Steel under Multiaxial Stress State
,”
International Journal of Plasticity
, Vol.
10
, pp.
579
608
.
17.
Jiang
Y.
, and
Sehitoglu
H.
,
1996
a, “
Modeling of Cyclic Ratchetting Plasticity: Part I—Development of Constitutive Equations
,”
ASME Journal of Applied Mechanics
, Vol.
63
, pp.
720
725
.
18.
Jiang
Y.
, and
Sehitoglu
H.
,
1996
b, “
Modeling of Cyclic Ratchetting Plasticity: Part II—Implement of the New Model and Comparison of Theory with Experiments
,”
ASME Journal of Applied Mechanics
, Vol.
63
, pp.
726
733
.
19.
Kurath, P., Downing, S. D., and Galliart, D. R., 1989, “Summary of Non-Hardened Notched Shaft Round Robin Program,” Multiaxial Fatigue: Analysis and Experiments, Lease et al., eds., SAE, Warrendale, PA, pp. 13–32.
20.
Kurath, P. and Jiang, Y., 1995, “Analysis of Residual Stresses and Cyclic Deformation for Induction Hardened Components,” SAE Technical Paper Series No. 950707, Society of Automotive Engineers, Warrendale.
21.
Leve, H. L., 1969, “Cumulative Damage Theories,” Metal Fatigue: Theory and Design, Madayag, ed., Wiley, pp. 171–203.
22.
Masing, G., 1926, “Eigenspannungen und Verfestigung Bein Meesing,” Proceedings of the Second International Congress of Applied Mechanics, Zurich.
23.
McDowell
D. L.
,
1985
, “
A Two Surface Model for Transient Nonproportional Cyclic Plasticity, Part I: Development of Appropriate Equations
,”
ASME Journal of Applied Mechanics
, Vol.
52
, pp.
298
302
.
24.
McDowell
D. L.
,
1995
, “
Stress State Dependence of Cyclic Ratchetting Behavior of Two Rail Steels
,”
International Journal of Plasticity
, Vol.
11
, pp.
397
421
.
25.
Miner
M. A.
,
1945
, “
Cumulative Damage in Fatigue
,”
ASME Journal of Applied Mechanics
, Vol.
12
, pp.
A159–A164
A159–A164
.
26.
Mughrabi
H.
,
1978
, “
The Cyclic Hardening and Saturation Behaviour of Copper Single Crystals
,”
Materials Science and Engineering
, Vol.
33
, pp.
207
223
.
27.
Ohno
N.
,
1982
, “
A Constitutive Model of Cyclic Plasticity with a Nonhardening Strain Region
,”
ASME Journal of Applied Mechanics
, Vol.
49
, pp.
721
727
.
28.
Ohno
N.
, and
Kachi
Y.
, “
A Constitutive Model of Cyclic Plasticity for Nonlinear Hardening Materials
,”
ASME Journal of Applied Mechanics
, Vol.
53
, pp.
395
403
.
29.
Ohno
N.
, and
Wang
J.-D.
,
1993
, “
Kinematic Hardening Rules with Critical State of Dynamic Recovery: Part I—Formulation and Basic Features for Ratchetting Behavior
,”
International Journal of Plasticity
, Vol.
9
, pp.
375
390
.
30.
Takahashi
Y.
, and
Ogata
T.
,
1991
, “
Description of Nonproportional Cyclic Plasticity of Stainless Steel by a two-Surface Model
,”
ASME Journal of Applied Mechanics
, Vol.
58
, pp.
623
630
.
31.
Tanaka, E., Murakami, S., and Ooka, M., 1987, “Constitutive Modeling of Cyclic Plasticity in Non-Proportional Loading Conditions,” Proc. 2nd Int. Conf. Constitutive Laws for Engng Mater.: Theory and Applications, Sedai et al. Eds., pp. 639–646.
32.
Tanaka
E.
,
1994
, “
A Nonproportionality Parameter and a Cyclic Viscoplastic Constitutive Model Taking into Account Amplitude Dependences and Memory Effects of isotropic Hardening
,”
European Journal Mechanics, A/Solids
, Vol.
13
, pp.
155
173
.
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