A recent strain hardening model for late deformation stages (Estrin, Y., To´th, L.S., Molinari, A., and Bre´chet, Y., Acta Materialia, 1998, “A dislocation-based model for all hardening stages in large strain deformation,” Vol. 46, pp. 5509-5522) was generalized for the 3D case and for arbitrary strain paths. The model is based on a cellular dislocation arrangement in which a single- phase material is considered as a composite of a hard skeleton of cell walls and soft cell interiors. An important point in the approach is the evolution of the volume fraction of the cell walls which decreases with the deformation and gives rise to a plateau-like behavior (Stage IV) followed by a drop-off (Stage V) of the strain hardening rate observed at large strains. The hardening model was implemented into the viscoplastic self-consistent polycrystal model to predict hardening curves corresponding to different proportional loading paths. The calculated curves were evaluated to elucidate the path dependence of hardening.

Issue Section:
Technical Papers
Keywords:
work hardening, metals, plasticity, viscoplasticity, dislocation density, dislocation structure, stress-strain relations
Topics:
Dislocation density, Dislocations, Work hardening, Plasticity, Hardening, Composite materials, Stress
1.
Estrin
,
Y.
,
To´th
,
L. S.
,
Molinari
,
A.
, and
Bre´chet
,
Y.
,
1998
, “
A dislocation-based model for all hardening stages in large strain deformation
,”
Acta Mater.
,
46
, pp.
5509
–
5522
.
2.
Stu¨we
,
H. P.
,
1965
, “
Die Fliesskurven Vielkristalliner Metalle und ihre Anwendung in der Platizita¨tsmechanik
,”
Z. Metallkd.
,
56
, p.
633
633
.
3.
Kova´cs
,
I.
,
1977
,
Rev. Deform. Behav. Mater.
,
2
, p.
211
211
.
4.
Gil Sevillano
,
J.
,
Van Houtte
,
P.
, and
Aernoudt
,
E.
,
1980
, “
Large Strain Work Hardening and Textures
,”
Prog. Mater. Sci.
,
25
, p.
69
69
.
5.
Argon
,
A. S.
, and
Haasen
,
P.
,
1993
,
Acta Metall.
,
41
, p.
3289
3289
.
6.
Nes
,
E.
,
1998
,
Prog. Mater. Sci.
,
41
, p.
129
129
.
7.
Mecking, H., and Estrin, Y., 1987, Constitutive Relations and Their Physical Basis, S. J. Anderson et al., eds., Riso Natl. Lab. Denmark, pp. 123–145.
8.
Cugy, P., Estrin, Y., Bouaziz, O., Bre`chet, Y., and Schmitt, J.-H., 2001, “Dislocation based modeling of strain hardening in interstitial free steels as applied to torsion deformation,” to be published.
9.
Molinari
,
A.
,
Canova
,
G. R.
, and
Ahzi
,
S.
,
1987
, “
A self consistent approach of the large deformation polycrystal plasticity
,”
Acta Metall.
,
35
, pp.
2983
–
2994
.
10.
Kocks
,
U. F.
,
1976
,
ASME J. Eng. Mater. Technol.
,
98
, p.
76
76
.
11.
Estrin, Y., 1996, Unified Constitutive Laws of Plastic Deformation, A. Krausz and K. Krausz, eds., Academic Press, pp. 69–106.
12.
Mu¨ller
,
M.
,
Zehetbauer
,
M.
,
Borbe´ly
,
A.
, and
Unga´r
,
T.
,
1995
,
Z. Metallkd.
,
86
, p.
827
827
.
13.
Mu¨ller
,
M.
,
Zehetbauer
,
M.
,
Borbe´ly
,
A.
, and
Unga´r
,
T.
,
1996
,
Scr. Metall. Mater.
,
35
, p.
1461
1461
.
14.
Unga´r, T., 1997, private communication.
15.
Zehetbauer, M., 2000, private communication.
16.
Kopacz
,
I.
,
To´th
,
L. S.
,
Zehetbauer
,
M.
, and
Stu¨we
,
H. P.
,
1999
, “
Large strain hardening curves corrected for texture development
,”
Modeling and Simulation in Materials Science and Engineering
,
7
, pp.
875
–
891
.
17.
Molinari
,
A.
, and
To´th
,
L. S.
,
1994
, “
Tuning a self consistent viscoplastic model by finite element results, Part I: Modeling
,”
Acta Metall. Mater.
,
42
, pp.
2453
–
2458
.
18.
Zehetbauer
,
M.
, and
Seumer
,
V.
,
1993
, “
Cold work hardening in stages IV and V of f.c.c. metals—I. Experiments and interpretation
,”
Acta Metall. Mater.
,
41
, pp.
577
–
588
.
19.
Unga´r
,
T.
,
To´th
,
L. S.
,
Illy
,
J.
, and
Kova´cs
,
I.
,
1986
, “
Dislocation structure and work hardening in polycrystalline OFHC copper rods deformed by torsion and extension
,”
Acta Metall.
,
34
, pp.
1257
–
1267
.
20.
Unga´r
,
T.
,
Groma
,
I.
, and
Wilkens
,
M.
,
1989
, “
Asymmetric X-ray line broadening of plastically deformed crystals. II. Evaluation procedure and applications to [001]-Cu crystals
,”
J. Appl. Crystallogr.
,
22
, pp.
26
–
34
.
21.
Zehetbauer
,
M.
,
Schafler
,
E.
,
Unga´r
,
T.
,
Kopacz
,
S.
, and
Bernstorf
,
S.
,
2002
, “
Investigation of the Microstructural Evolution During Large Strain Cold Working of Metals by Means of Synchrotron Radiation—A Comparative Overview
,”
ASME J. Eng. Mater. Technol.
,
124
, published in this issue, pp.
41
–
47
.
Copyright © 2002
 by ASME
You do not currently have access to this content.