Accurate estimation of material stress–strain response is essential to many fatigue life analyses. In cases where variable amplitude loading conditions exist, the ability to account for transient material deformation behavior can be particularly important due to the potential for periodic overloads and/or changes in the degree of nonproportional stressing. However, cyclic plasticity models capable of accounting for these complex effects often require the determination of a large number of material constants. Therefore, an Armstrong–Frederick–Chaboche style plasticity model, which was simplified in a previous study, was extended in the current study to account for the effects of both general cyclic and nonproportional hardening using a minimal number of material constants. The model was then evaluated for its ability to predict stress–strain response under complex multiaxial loading conditions by using experimental data generated for 2024-T3 aluminum alloy, including a number of cyclic incremental step tests. The model was found to predict transient material response within a fairly high overall level of accuracy for each loading history investigated.

References

References
1.
Chaboche
,
J. L.
,
2008
, “
A Review of Some Plasticity and Viscoplasticity Constitutive Theories
,”
Int. J. Plast.
,
24
(
10
), pp.
1642
1693
.
2.
Gates
,
N. R.
, and
Fatemi
,
A.
,
2016
, “
A Simplified Cyclic Plasticity Model for Calculating Stress-Strain Response Under Multiaxial Non-Proportional Loadings
,”
Eur. J. Mech. A/Solids
,
59
, pp.
344
355
.
3.
Döring
,
R.
,
Hoffmeyer
,
J.
,
Seeger
,
T.
, and
Vormwald
,
M.
,
2003
, “
A Plasticity Model for Calculating Stress-Strain Sequences Under Multiaxial Nonproportional Cyclic Loading
,”
Comput. Mater. Sci.
,
28
(
3–4
), pp.
587
596
.
4.
Zhang
,
J.
, and
Jiang
,
Y.
,
2008
, “
Constitutive Modeling of Cyclic Plasticity Deformation of a Pure Polycrystalline Copper
,”
Int. J. Plast.
,
24
(
10
), pp.
1890
1915
.
5.
Jiang
,
Y.
, and
Kurath
,
P.
,
1997
, “
An Investigation of Cyclic Transient Behavior and Implications on Fatigue Life Estimates
,”
ASME J. Eng. Mater. Technol.
,
119
(
2
), pp.
161
170
.
6.
Ohno
,
N.
, and
Wang
,
J.-D.
,
1994
, “
Kinematic Hardening Rules for Simulation of Ratchetting Behavior
,”
Eur. J. Mech. A/Solids
,
13
(
4
), pp.
519
531
.
7.
Jiang
,
Y.
, and
Sehitoglu
,
H.
,
1996
, “
Modeling of Cyclic Rachetting Plasticity—Part I: Development of Constitutive Relations
,”
ASME J. Appl. Mech.
,
63
(
3
), pp.
720
725
.
8.
Jiang
,
Y.
, and
Kurath
,
P.
,
1996
, “
Characteristics of the Armstrong-Frederick Type Plasticity Models
,”
Int. J. Plast.
,
12
(
3
), pp.
387
415
.
9.
Shamsaei
,
N.
,
Fatemi
,
A.
, and
Socie
,
D. F.
,
2010
, “
Multiaxial Cyclic Deformation and Non-Proportional Hardening Employing Discriminating Load Paths
,”
Int. J. Plast.
,
26
(
12
), pp.
1680
1701
.
10.
Jiang
,
Y.
, and
Kurath
,
P.
,
1997
, “
Nonproportional Cyclic Deformation: Critical Experiments and Analytical Modeling
,”
Int. J. Plast.
,
13
(
8–9
), pp.
743
763
.
11.
Jiang
,
Y.
, and
Sehitoglu
,
H.
,
1996
, “
Modeling of Cyclic Rachetting Plasticity—Part II: Comparisons of Model Simulations With Experiments
,”
ASME J. Appl. Mech.
,
63
(
3
), pp.
726
733
.
12.
Tanaka
,
E.
,
1994
, “
A Nonproportionality Parameter and a Cyclic Viscoplastic Constitutive Model Taking Into Account Amplitude Dependences and Memory Effects of Isotropic Hardening
,”
Eur. J. Mech. A/Solids
,
13
(
2
), pp.
155
173
.
13.
Chaboche
,
J. L.
,
Dang Van
,
K.
, and
Cordier
,
G.
,
1979
, “
Modelization of the Strain Memory Effect on the Cyclic Hardening of 316 Stainless Steel
,”
Fifth International Conference on Structural Mechanics in Reactor Technology
, Berlin, Aug. 13–17, pp. 1–10.
14.
Chaboche
,
J. L.
,
1987
, “
Cyclic Plasticity Modeling and Rachetting Effects
,”
Second International Conference on Constitutive Laws for Engineering Materials: Theory and Applications
, Tuscon, AZ, Jan. 5–8, pp.
47
58
.
15.
Shamsaei
,
N.
, and
Fatemi
,
A.
,
2010
, “
Effect of Microstructure and Hardness on Nonproportional Cyclic Hardening Coefficient and Predictions
,”
J. Mater. Sci. Eng. A
,
527
(
12
), pp.
3015
3024
.
You do not currently have access to this content.