Serrated flow and associated progressive surface markings severely restrict the application of some aluminum sheet alloys for automotive body exteriors. This paper attempts to approach the phenomenon from the localization theory of continuum mechanics as well as from the classical atomistic and dislocation considerations. Plane strain tension tests were conducted for a commercial Al-Mg alloy (5182-O) at different strain rates and temperatures, and the local temperature changes were measured by an infrared thermal imaging system. Continuum mechanics analysis provided the insight into the myth that band surface markings never appear under biaxial tension strain states. In addition, continuum mechanics analysis shed light on the observation that PLC bands were not seen on the surface of plane strain tension specimens even though the stress-strain curves exhibited serrations. Finally, it is emphasized that only by combining the efforts of continuum mechanics at the macroscale and materials science at the microscale, can a complete understanding of the phenomenon be reached.

1.
Baird, J. D., 1971, “The Effects of Strain-Aging due to Interstitial Solutes on the Mechanical Properties of Metals,” Metallurgical Reviews, pp. 1–19.
2.
Barlat, F., and Brem, J., 1991, “Uniaxial and Iosipescu Shear Tests on 2090 Aluminum Alloy,” unpublished work, Alcoa Technical Center.
3.
Brindley
B. J.
, and
Worthington
P. J.
,
1969
, “
Serrated Yielding in Aluminum-3% Magnesium
,”
Acta Metallurgica
, Vol.
17
, pp.
1357
1361
.
4.
Brindley
B. J.
, and
Worthington
P. J.
,
1970
, “
Yield-point Phenomena in Substitutional Alloys
,”
Metallurgical Reviews
, Vol.
15
, pp.
101
114
.
5.
Carlson
J. M.
, and
Bird
J. E.
,
1987
, “
Thermal and Strain Rate Softening in Al-Mg Sheet during Necking and Shear Band Formation
,”
Metallurgical Transactions A
, Vol.
18
, pp.
1154
1156
.
6.
Charnock
W.
,
1968
, “
The Influence of grain Size on the Nature of Portevin-Le Chatelier Yielding
,”
The Philosophical Magazine
, Vol.
18
, pp.
89
99
.
7.
Chen
M. C.
,
Chen
L. H.
, and
Lui
T. S.
,
1996
, “
Analysis on the Amplitude of Serrated Flow Associated with the Portevin-Le Chatelier Effect of Substitutional fcc Alloys
,”
Metallurgical and Materials Transactions A
, Vol.
27A
, pp.
1691
1694
.
8.
Clausing
D. P.
,
1970
, “
Effect of Plastic Strain State on Ductility and Toughness
,”
International Journal of Fracture Mechanics
, Vol.
6
(
1
), pp.
71
85
.
9.
Cottrell
A. H.
,
1953
, “
A note on the Portevin-Le Chatelier Effect
,”
The Philosophical Magazine
, Vol.
44
, pp.
829
832
.
10.
Cuddy
L. J.
, and
Leslie
W. C.
,
1972
, “
Some Aspects of Serrated Yielding in Substitutional Solid Solutions of Iron
,”
Acta Metallurgica
, Vol.
20
, pp.
1157
1167
.
11.
Dillon
O. W.
,
1963
, “
Experimental Data on Aluminum as a Mechanically Unstable Solid
,”
Journal of the Mechanics and Physics of Solids
, Vol.
11
, pp.
289
304
.
12.
Drucker
D. C.
,
1995
, “
From Instability and Time Dependence on the Microscale to Stability and Time Independence on the Macroscale
,”
ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol.
117
, pp.
368
372
.
13.
Drucker, D. C., and Li, M., 1992, “Non-associated Plastic Deformation and Genuine Instability,” Acta Mechanica [suppl] 3: Advances in Dynamic Systems and Stability Beskos D. E., and Ziegler F., eds., Springer-Verlag, pp. 161–171.
14.
Drucker
D. C.
, and
Li
M.
,
1993
, “
Triaxial Test Instability of a Non-associated Flow Rule Model
,”
ASCE, Journal of Engineering Mechanics
, Vol.
119
(
6
), pp.
1188
1204
.
15.
Estrin
Y.
, and
Kubin
L. P.
,
1988
, “
Plastic Instabilities: Classification and Physical Mechanisms
,”
Res Mechanica
, Vol.
23
, pp.
197
221
.
16.
Estrin, Y., and Kubin, L. P., 1995, “Spacial Coupling and Propagative Plastic Instabilities,” Continuum Models for Materials with Micro-Structure, Mu¨hlhaus, H. B., ed., Wiley.
17.
Estrin
Y.
, and
McCormick
P. G.
,
1991
, “
Modeling the Transient Flow Behavior of Dynamic Strain Ageing Materials
,”
Acta Metallurgica et Materialia
, Vol.
39
(
12
), pp.
2977
2983
.
18.
Hahner
P.
,
1993
a, “
Modeling of Propagative Plastic Instabilities
,”
Scripta Metallurgica et Materialia
, Vol.
29
, pp.
1171
1176
.
19.
Hahner
P.
,
1993
b, “
Modeling the Spatio-temporal Aspects of the Portevin-Le Chatelier Effect
,”
Materials Science and Engineering A
, Vol.
A163
, pp.
23
24
.
20.
Ham
R. K.
, and
Jaffrey
D.
,
1967
, “
Dislocation Multiplication, Vacancy Accumulation, and the Onset of Jerky Flow during Forward and Reversed Strain in Cu-3.2 at % Sn
,”
The Philosophical Magazine
, Vol.
15
, pp.
247
256
.
21.
Hill
R.
, and
Hutchinson
J. W.
,
1975
, “
Bifurcation Phenomena in the plane Tension Test
,”
Journal of the Mechanics and Physics of Solids
, Vol.
23
, pp.
239
264
.
22.
King
J. E.
,
You
C. P.
, and
Knott
J. F.
,
1981
,“
Serrated Yielding and the Localized Shear Failure Mode in Aluminum Alloys
,”
Acta Metallurgical
, Vol.
29
, pp.
1553
1566
.
23.
Korbel
A.
, and
Dybiec
H.
,
1981
, “
The Problem of the Negative Strain-Rate Sensitivity of Metals under the Portevin-Le Chatelier Deformation Conditions
,”
Acta Metallurgica
, Vol.
29
, pp.
89
93
.
24.
Kubin
L. P.
,
1994
Strain and Strain Rate Softening Instabilities: Length Scales and Spatial Couplings
,”
Key Engineering Materials
, Vol.
97–98
, pp.
219
234
.
25.
Kubin
L. P.
, and
Estrin
Y.
,
1985
,“
The Portevin-Le Chatelier Effect in Deformation with Constant Stress Rate
,”
Acta Metallurgica
, Vol.
33
, pp.
397
407
.
26.
Kubin
L. P.
, and
Estrin
Y.
,
1990
, “
Evolution of Dislocation Densities and the Critical Conditions for the Portevin-Le Chatelier Effect
,”
Acta Metallurgica
, Vol.
38
, pp.
697
708
.
27.
Li
M.
, and
Drucker
D. C.
,
1994
, “
Instability and Bifurcation of a Nonassociated Extended Mises Model in the Hardening Regime
,”
Journal of the Mechanics and Physics of Solids
, Vol.
42
(
12
), pp.
1883
1904
.
28.
Marciniak
Z.
, and
Kuczynski
K.
,
1967
, “
Limit Strains in the Processes of Stretch Forming Sheet Metal
,”
International Journal of Mechanical Science
, Vol.
9
, pp.
609
620
.
29.
McCormick
P. G.
,
1971
, “
The Portevin-Le Chatelier Effect in Al-Mg-Si Alloy
,”
Acta Metallurgica
, Vol.
19
, pp.
463
471
.
30.
McCormick
P. G.
,
1988
, “
Theory of Localization due to Dynamic Strain Ageing
,”
Acta Metallurgica
, Vol.
36
, pp.
3061
3067
.
31.
Militzer
M.
,
Sun
W. P.
, and
Jonas
J. J.
,
1994
,“
Modeling the Effect of Deformation-Induced Vacancies on Segregation and Precipitation
,”
Acta Metallurgica et Materialia
, Vol.
42
(
1
), pp.
133
141
.
32.
Penning
P.
,
1972
, “
Mathematics of the Portevin-Le Chatelier Effect
,”
Acta Metallurgica
, Vol.
20
, pp.
1169
1175
.
33.
Pink
E.
,
1989
, “
The Effect of Precipitates on Characteristics of Serrated Flow in AlZn5Mg1
,”
Acta Metallurgica
, Vol.
37
(
7
), pp.
1773
1781
.
34.
Pink
E.
, and
Grinberg
A.
,
1981
, “
Serrated Flow in a Ferritic Stainless Steel
,”
Material Science and Engineering
, Vol.
51
, pp.
1
8
.
35.
Pink
E.
, and
Grinberg
A.
,
1984
, “
Practical Aspects of the Portevin-Le Chatelier Effect (II)
,”
Aluminum
, Vol.
60E
(
10
), pp.
646
650
.
36.
Rice, J. R., 1977, “The Localization of Plastic Deformation,” Theoretical and Applied Mechanics, Proc. 14th IUTAM, Koiter W. T., eds. North-Holland, Amsterdam, pp. 207–220.
37.
Rodriguez
P.
,
1984
, “
Serrated Plastic Flow
,”
Bulletin of Material Science
, Vol.
6
(
4
), pp.
653
663
.
38.
Robinson
J. M.
,
1994
, “
Serrated Flow in Aluminum Base Alloys
,”
International Materials Reviews
, Vol.
39
(
6
), pp.
217
227
.
39.
Robinson
J. M.
, and
Shaw
M. P.
,
1992
, “
The Influence of Specimen Geometry on the Portevin-Le Chatelier Effect in an Al-Mg Alloy
,”
Materials Science and Engineering A
, Vol.
A159
, pp.
159
165
.
40.
Robinson
J. M.
, and
Shaw
M. P.
,
1994
, “
Microstructural and Mechanical Influence on Dynamic Strain Aging Phenomena
,”
International Materials Reviews
, Vol.
39
(
3
), pp.
113
122
.
41.
Rudnicki
J. W.
, and
Rice
J. R.
,
1975
, “
Conditions for the Localization of Deformation in Pressure-Sensitive Dilatant Materials
,”
Journal of the Mechanics and Physics of Solids
, Vol.
23
, pp.
371
394
.
42.
Sharpe
W. N.
,
1966
, “
The Portevin-Le Chatelier Effect in Aluminum Single Crystals and Polycrystals
,”
Journal of the Mechanics and Physics of Solids
, Vol.
14
, pp.
187
202
.
43.
Sto¨ren
S.
, and
Rice
J. R.
,
1975
, “
Localized Necking in Thin Sheet
,”
Journal of the Mechanics and Physics of Solids
, Vol.
23
, pp.
421
441
.
44.
Taha
P.
,
Graf
A.
, and
Hosford
W.
,
1995
, “
Plane-Strain Tension Tests on Aluminum Alloy Sheet
,”
ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol.
117
, pp.
168
171
.
45.
Worthington
P. J.
, and
Brindley
B. J.
,
1969
, “
Serrated Yielding in Substitutional Alloys
,”
The Philosophical Magazine
, Vol.
19
, pp.
1175
1178
.
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