Motivated by the strong dependence of strain-hardening processes on slip system activity, a slip system hardening formulation that explicitly employs accumulated slip system shear strains and net crystal shearing rates is introduced within a polycrystal plasticity modeling formulation for predicting material response during cyclic deformation. The model, which is a slight modification of the Voce hardening model commonly employed for large strain forming simulations, was employed to model the behavior of 304L stainless steel subjected to uniaxial and multiaxial nonproportional multiple-step experiments and multiaxial multiple-phase angle experiments. The model successfully captured the pseudosaturation response that is common during the multiple-step tests and captured many of the loop-shape and stress-level features of the multiple-phase angle experiments.

Issue Section:
Research Papers
Keywords:
stainless steel, slip, work hardening, internal stresses, plasticity, elastic deformation
Topics:
Crystals, Deformation, Die cutting, Hardening, Plasticity, Shearing (Deformation), Stress, Work hardening, Stainless steel, Cycles, Shear (Mechanics)
1.
Chaboche, J. L., Dang Van K., and Cordier, G., 1979, “Modelization of the Strain Memory Effect on the Cyclic Hardening of 316 Stainless Steel,” Proc. of 5th SMIRT Conf., Paper No. L11/3, Berlin, pp. 1–10.
2.
Hopperstad
,
O. S.
,
Langseth
,
M.
, and
Remseth
,
S.
,
1995
, “
Cyclic Stress-Strain Behavior of Alloy AA6060, Part I: Uniaxial Experiments and Modeling
,”
Int. J. Plast.
,
11
(
6
), pp.
725
–
739
.
3.
Ohno
,
N.
,
1982
, “
A Constitutive Model of Cyclic Plasticity with a Nonproportional Strain Range
,”
ASME J. Appl. Mech.
,
49
, pp.
721
–
727
.
4.
Ohno
,
N.
, and
Kachi
,
Y.
,
1986
, “
A Constitutive Model of Cyclic Plasticity for Nonlinear Hardening Materials
,”
ASME J. Appl. Mech.
,
53
, pp.
395
–
403
.
5.
Kang
,
G.
,
Ohno
,
N.
, and
Nebu
,
A.
,
2003
, “
Constitutive Modeling of Strain Range Dependent Cyclic Hardening
,”
Int. J. Plast.
,
19
, pp.
1801
–
1819
.
6.
Krempl
,
E.
, and
Lu
,
H.
,
1984
, “
The Hardening and Rate Dependent Behavior of Fully Annealed AISI Type 304 Stainless Steel Under Biaxial In-Phase and Out-of-Phase Strain Cycling at Room Temperature
,”
ASME J. Eng. Mater. Technol.
,
106
, pp.
376
–
382
.
7.
Cailletaud
,
G.
,
Kaczmarek
,
H.
, and
Policella
,
H.
,
1984
, “
Some Elements on Multiaxial Behavior of 316 L Stainless Steel at Room Temperature
,”
Mech. Mater.
,
3
, pp.
333
–
347
.
8.
McDowell
,
D. L.
,
Stahl
,
D. R.
,
Stock
,
S. R.
, and
Antolovich
,
S. D.
,
1988
, “
Biaxial Path Dependence of Deformation Substructure of Type 304 Stainless Steel
,”
Metall. Trans. A
,
19A
, pp.
1277
–
1293
.
9.
Jiang
,
Y.
, and
Kurath
,
P.
,
1997
, “
Nonproportional Cyclic Deformation: Critical Experiments and Analytical Modeling
,”
Int. J. Plast.
,
13
(
8–9
), pp.
743
–
763
.
10.
Hopperstad
,
O. S.
,
Langseth
,
M.
, and
Remseth
,
S.
,
1995
, “
Cyclic Stress-Strain Behavior of Alloy AA6060 T4, Part II: Biaxial Experiments and Modeling
,”
Int. J. Plast.
,
11
(
6
), pp.
741
–
762
.
11.
Nouailhas
,
D.
,
Chaboche
,
J. L.
,
Savalle
,
S.
, and
Cailletaud
,
G.
,
1985
, “
On the Constitutive Equations for Cyclic Plasticity Under Nonproportional Loading
,”
Int. J. Plast.
,
1
, pp.
317
–
330
.
12.
McDowell
,
D. L.
,
1985
, “
A Two Surface Model for Transient Nonproportional Cyclic Plasticity: Part 1 Development of Appropriate Equations
,”
ASME J. Appl. Mech.
,
52
, pp.
298
–
302
.
13.
McDowell
,
D. L.
,
1985
, “
A Two Surface Model for Transient Nonproportional Cyclic Plasticity: Part 2 Comparison of Theory with Experiments
,”
ASME J. Appl. Mech.
,
52
, pp.
303
–
308
.
14.
Doong
,
S. H.
, and
Socie
,
D. F.
,
1991
, “
Constitutive Modeling of Metals Under Nonproportional Cyclic Loading
,”
ASME J. Eng. Mater. Technol.
,
113
, pp.
23
–
30
.
15.
Moosbrugger
,
J. C.
,
2000
, “
Anisotropic Nonlinear Kinematic Hardening Rule Parameters From Reversed Proportional Axial-Torsional Cycling
,”
ASME J. Eng. Mater. Technol.
,
122
, pp.
20
–
28
.
16.
Voyiadjis
,
G. J.
, and
Basuroychowdhury
,
I. N.
,
1998
, “
A Plasticity Model for Multiaxial Cyclic Loading and Ratchetting
,”
Acta Mech.
,
126
, pp.
19
–
35
.
17.
Molinari
,
A.
,
Ahzi
,
S.
, and
Kouddane
,
R.
, “
On the Self Consistent Modeling of Elastic-Plastic Behavior of Polycrystals
,”
Mech. Mater.
,
26
, pp.
43
–
62
.
18.
Cailletaud
,
G.
,
1992
, “
A Micromechanical Approach to Inelastic Behavior of Metals
,”
Int. J. Plast.
,
8
, pp.
55
–
73
.
19.
Marin
,
E. B.
, and
Dawson
,
P. R.
,
1998
, “
On Modeling the Elasto-Viscoplastic Response of Metals Using Polycrystal Plasticity
,”
Comput. Methods Appl. Mech. Eng.
,
165
, pp.
1
–
21
.
20.
Miller
,
M. P.
, and
Barton
,
N.
,
2000
, “
Representing the Effect of Crystallographic Texture on the Anisotropic Performance Behavior of Rolled Aluminum Plate
,”
ASME J. Eng. Mater. Technol.
,
122
, pp.
10
–
17
.
21.
Dingli
,
J. P.
,
Abdul-Latif
,
A.
, and
Saanouni
,
K.
,
2000
, “
Predictions of the Complex Cyclic Behavior of Polycrystals Using a Self-Consistent Modeling
,”
Int. J. Plast.
,
16
, pp.
411
–
437
.
22.
Toth
,
L. S.
,
Molinari
,
A.
, and
Zouhal
,
N.
,
2000
, “
Cyclic Plasticity Phenomena as Predicted by Polycrystal Plasticity
,”
Mech. Mater.
,
32
, pp.
99
–
113
.
23.
Takahashi
,
H.
,
Fujiwara
,
K.
, and
Nakagawa
,
T.
,
1998
, “
Multiple-Slip Work-Hardening Model in Crystals With Application to Torsion-Tension Behaviors of Aluminum Tubes
,”
Int. J. Plast.
,
14
, pp.
489
–
509
.
24.
Cailletaud, G., Doquet, V., and Pineau, A., 1991, “Cyclic Multiaxial Behavior of an Austenitic Stainless Steel: Microstructural Observations and Micromechanical Modelling,” 3rd International Conference on Biaxial/Multiaxial Fatigue, Stuttgart, Germany, pp. 131–149.
25.
Song
,
X. P.
,
Chen
,
G. L.
, and
Gu
,
H. C.
,
2002
, “
Low Cycle Fatigue Behavior of Commercial Purity Titanium in Liquid Nitrogen
,”
Int. J. Fatigue
,
24
, pp.
49
–
56
.
26.
Mangonon
,
P. L.
, and
Thomas
,
G.
,
1970
, “
The Martensite Phases in 304 Stainless Steel
,”
Metall. Trans.
,
1
, pp.
1577
–
1586
.
27.
Murr
,
L. E.
,
Staudhammer
,
K. P.
, and
Hecker
,
S. S.
,
1982
, “
Effects of Strain State and Strain Rate on Deformation-Induced Transformations in 304 Stainless Steel: Part II, Microstructural Study
,”
Metall. Trans. A
,
13A
, pp.
627
–
635
.
28.
Stout
,
M. G.
, and
Follansbee
,
P. S.
,
1986
, “
Strain Rate Sensitivity, Strain Hardening and Yield Behavior of 304L Stainless Steel
,”
ASME J. Eng. Mater. Technol.
,
108
, pp.
344
–
353
.
29.
Miller
,
M. P.
, and
McDowell
,
D. L.
,
1996
, “
The Effect of Stress State on the Large Strain Inelastic Deformation Behavior of 304L Stainless Steel
,”
ASME J. Eng. Mater. Technol.
,
118
(
1
), pp.
28
–
36
.
30.
Doong
,
S. H.
,
Socie
,
D. F.
, and
Robertson
,
I. M.
,
1990
, “
Dislocation Substructures and Nonproportional Hardening
,”
ASME J. Eng. Mater. Technol.
,
112
, pp.
456
–
464
.
31.
Moosbrugger, J. C., 1988, “A Rate-Dependent Bounding Surface Model for Nonproportional Cyclic Viscoplasticity,” Ph.D. Thesis, Georgia Institute of Technology.
32.
Havner, K. S., 1992, Finite Plastic Deformation of Crystalline Solids, Cambridge University Press, Cambridge, England.
33.
Khan, A. K., and Huang, S., 1995, Continuum Theory of Plasticity, Wiley, New York.
34.
Kocks, U. F., Tome, C. N., and Wenk, H. R., 1998, Texture and Anisotropy, Cambridge University Press, Cambridge, England.
35.
Barton
,
N.
,
Dawson
,
P. R.
, and
Miller
,
M. P.
,
1999
, “
Yield Strength Asymmetry Predictions From Polycrystal Plasticity
,”
ASME J. Eng. Mater. Technol.
,
121
, pp.
230
–
239
.
36.
Marin
,
E. B.
, and
Dawson
,
P. R.
,
1998
, “
Elastoplastic Finite Element Analysis of Metal Deformations Using Polycrystal Constitutive Models
,”
Comput. Methods Appl. Mech. Eng.
,
165
, pp.
23
–
41
.
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