An experimental study was conducted on the inhomogeneous plastic deformation of 1045 steel subjected to monotonic tension and cyclic tension-compression. Small strain gages were used to characterize the local deformation and transmission electron microscopy (TEM) was used to study the microstructures associated with the observed deformation phenomenon. Under monotonic tension, the strain of the Lu¨ders front was lower than the full Lu¨ders strain. The local strains were inhomogeneous even at the work-hardening stage. Under stress-controlled cyclic loading with stress amplitudes below the lower yield stress, cyclic deformation consisted of an incubation stage, a significantly inhomogeneous cyclic softening stage, and a saturation stage. Inhomogeneous cyclic plasticity persisted at the saturation stage. A monotonic tension preload can eliminate the incubation stage in the subsequent cyclic loading. Under asymmetric cyclic loading with a mean stress, the cyclic plastic deformation was accompanied by noticeable inhomogeneous ratcheting deformation. TEM was used to analyze the distribution and evolution of the dislocation structures at different locations of the specimen. With increasing loading cycles, the dislocation substructures evolved in a sequence of loose tangles, thick veins, long walls, elongated cells, and equiaxial cells. Based upon the mechanical experiments and observations of dislocation arrangements, the mechanisms governing inhomogeneous cyclic plastic deformation were discussed.

1.
Hall, E. O., 1970, Yield Point Phenomena in Metals and Alloys, Plenum Press, New York.
2.
Fatemi, A., and Stephens, R. I., 1989, “Cyclic Deformation of 1045 Steel Under In-Phase and 90° Out-of-Phase Axial-Torsional Loading Conditions,” in Multiaxial Fatigue, Analysis and Experiments, AE-14, G. E. Leese and D. Socie, eds., SAE International, pp. 139–147, Chap. 10.
3.
Jiang
,
Y.
,
2001
, “
An Experimental Study of Inhomogeneous Cyclic Plastic Deformation
,”
ASME J. Eng. Mater. Technol.
,
123
, pp.
274
280
.
4.
Pilo
,
D.
,
Reik
,
W.
,
Mayr
,
P.
, and
Macherauch
,
E.
,
1977
, “
Inhomogeneous Deformation Processes in the Incipient Crack-Free Fatigue Stage of Unalloyed Steels
,”
Arch. Eisenhuettenwes.
,
48
, pp.
575
578
.
5.
Pilo
,
D.
,
Reik
,
W.
,
Mayr
,
P.
, and
Macherauch
,
E.
,
1978
, “
On the Influence of Mean Stress on the Fatigue Behavior of Unalloyed Steels
,”
Arch. Eisenhuettenwes.
,
49
, pp.
31
36
.
6.
Pilo
,
D.
,
Reik
,
W.
,
Mayr
,
P.
, and
Macherauch
,
E.
,
1979
, “
Cyclic Induced Creep of a Plain Carbon Steel at Room Temperature
,”
Fatigue Eng. Mater. Struct.
,
1
, pp.
287
295
.
7.
Pilo
,
D.
,
Reik
,
W.
,
Mayr
,
P.
, and
Macherauch
,
E.
,
1979
, “
Macroscopic Changes of Length as a Consequence of Changes of Mean Stress During Cyclic Tension-Compression Tests on CK45
,”
Arch. Eisenhuettenwes.
,
50
, pp.
439
442
.
8.
Pilo
,
D.
,
Reik
,
W.
,
Mayr
,
P.
, and
Macherauch
,
E.
,
1980
, “
Macroscopic Changes of Length Under Cyclic Load for Steel CK45 in Normalized and in Strained Condition
,”
Arch. Eisenhuettenwes.
,
51
, pp.
155
157
.
9.
Pohl
,
K.
,
Mayr
,
P.
, and
Macherauch
,
E.
,
1981
, “
Cyclic Deformation Behavior of a Low Carbon Steel in the Temperature Range Between Room Temperature and 850 K
,”
Int. J. Fract.
,
17
, pp.
221
233
.
10.
Klesnil, M., and Luka´sˇ, P., 1992, Fatigue of Metallic Materials, Elsevier, Amsterdam-Oxford-New York-Tokyo.
11.
Klesnil
,
M.
, and
Luka´sˇ
,
P.
,
1967
, “
Fatigue Softening and Hardening of Annealed Low-Carbon Steel
,”
J. Iron Steel Inst., London
,
205
, pp.
746
749
.
12.
Klesnil
,
M.
,
Holzmann
,
M.
,
Luka´sˇ
,
P.
, and
Rysˇ
,
P.
,
1965
, “
Some Aspects of Fatigue Process in Low-Carbon Steel
,”
J. Iron Steel Inst., London
,
203
, pp.
47
53
.
13.
Abel
,
A.
, and
Muir
,
H.
,
1975
, “
Fatigue Softening on Low-Carbon Steel
,”
Philos. Mag.
,
32
, pp.
553
563
.
14.
Abel
,
A.
, and
Muir
,
H.
,
1973
, “
The Nature of Microyielding
,”
Acta Metall.
,
21
, pp.
99
105
.
15.
Eifler, D., and Macherauch, E., 1983, “Inhomogeneous Work-Softening During Cyclic Loading of SAE 4140 in Different Heat Treated States,” Proc. 2nd Int. Sym. Defects, Fract. & Fat., G. C. Sih and J. W. Provan, eds., Can Martinus Nijhoff Publ The Hague, Neth, pp. 171–182.
16.
Klesnil
,
M.
, and
Luka´sˇ
,
P.
,
1965
, “
Dislocation Arrangement in the Surface Layer of α-Iron Grains during Cyclic Loading
,”
J. Iron Steel Inst., London
,
203
, pp.
1043
1048
.
17.
Pohl
,
K.
,
Mayr
,
P.
, and
Macherauch
,
E.
,
1980
, “
Persistent Slip Band in the Interior of a Fatigued Low Carbon Steel
,”
Scr. Metall.
,
14
, pp.
1167
1169
.
18.
Christ
,
H.-J.
,
Wamukwamba
,
C. K.
, and
Mughrabi
,
H.
,
1997
, “
The Effect of Mean Stress on the High-Temperature Fatigue Behavior of SAE 1045 Steel
,”
Mater. Sci. Eng., A
,
234–236
, pp.
382
385
.
19.
Weisse
,
M.
,
Wamukwamba
,
C. K.
,
Christ
,
H.-J.
, and
Mughrabi
,
H.
,
1993
, “
The Cyclic Deformation and Fatigue Behavior of the Low Carbon Steel SAE 1045 in the Temperature Regime of Dynamic Strain Ageing
,”
Acta Metall. Mater.
,
41
, pp.
2227
2233
.
20.
Jiang
,
Y.
, and
Sehitoglu
,
H.
,
1994
, “
Multiaxial Cyclic Ratchetting Under Multiple Step Loading
,”
Int. J. Plast.
,
10
, pp.
849
870
.
21.
Hall
,
E. O.
,
1951
, “
The Deformation and Aging of Mild Steel: II. Characteristics of the Lu¨ders Deformation. III. Discussion of Results
,”
Proc. Phys. Soc. London, Sect. B
,
64
, pp.
742
753
.
22.
Iricibar
,
R.
,
Mazza
,
J.
, and
Cabo
,
A.
,
1975
, “
The Microscopic Strain Profile of a Propagating Lu¨ders Band Front in Mild Steel
,”
Scr. Metall.
,
9
, pp.
1051
1058
.
23.
Iricibar
,
R.
,
Mazza
,
J.
, and
Cabo
,
A.
,
1977
, “
On the Lu¨ders Band in Mild Steel-I
,”
Acta Metall.
,
25
, pp.
1163
1168
.
24.
Prewo
,
K.
,
Li
,
J. C. M.
, and
Gensamer
,
M.
,
1972
, “
Lu¨ders Band Motion in Iron
,”
Metall. Trans.
,
3
, pp.
2261
2269
.
25.
Lloyd
,
D. J.
, and
Morris
,
L. R.
,
1977
, “
Lu¨ders Band Deformation in a Fine Grained Aluminum Alloy
,”
Acta Metall.
,
25
, pp.
857
861
.
26.
Verel
,
D. J.
, and
Sleeswyk
,
A. W.
,
1973
, “
Lu¨ders Band Propagation at Low Velocities
,”
Acta Metall.
,
21
, pp.
1087
1098
.
27.
Liss
,
R. B.
,
1957
, “
Lu¨ders Bands
,”
Acta Metall.
,
5
, pp.
341
342
.
28.
Boxall
,
T. D.
, and
Hundy
,
B. B.
,
1955
, “
Photographing Stretcher-Strain Markings With the Vickers Projection Microscope
,”
Metall. Trans.
,
51
, pp.
52
54
.
29.
Iricibar
,
R.
, and
Mazza
,
J.
,
1975
, “
Meaning of the Strain Profile of a Propagating Lu¨ders Band Front
,”
Scr. Metall.
,
9
, pp.
1045
1050
.
30.
Miyazaki
,
S.
, and
Fujita
,
H.
,
1979
, “
Dynamic Observation of the Process of Lu¨ders Band Formation in Polycrystalline Iron
,”
Trans. Jpn. Inst. Met.
,
20
, pp.
603
608
.
31.
Louche
,
H.
, and
Chrysochoos
,
A.
,
2001
, “
Thermal and Dissipative Effects Accompanying Lu¨ders Band Propagation
,”
Mater. Sci. Eng., A
,
307
, pp.
15
22
.
32.
Onodera
,
R.
,
Nonomura
,
M.
, and
Aramaki
,
M.
,
2000
, “
Stress Drop, Lu¨ders Strain and Strain Rate During Serrated Flow
,”
J. Jpn. Inst. Met.
,
64
, pp.
1162
1171
.
33.
Sylwestrowicz
,
W.
, and
Hall
,
E. O.
,
1951
, “
The Deformation and Aging of Mild Steel
,”
Proc. Phys. Soc. London, Sect. B
,
64
, pp.
495
502
.
34.
Fisher
,
J. C.
, and
Rogers
,
H. C.
,
1956
, “
Propagation of Lu¨ders Bands in Steel Wires
,”
Acta Metall.
,
4
, pp.
180
185
.
35.
Moon
,
D. W.
,
1971
, “
Strain Distribution Through a Propagating Lu¨ders Band Front
,”
Scr. Metall.
,
5
, pp.
213
216
.
36.
Karlsson
,
B.
, and
Linde´n
,
G.
,
1975
, “
Plastic Deformation of Ferrite-Pearlite Structures in Steel
,”
Mater. Sci. Eng.
,
17
, pp.
209
219
.
37.
Karlsson
,
B.
, and
Linde´n
,
G.
,
1975
, “
Plastic Deformation of Eutectoid Steel With Different Cementite Morphologies
,”
Mater. Sci. Eng.
,
17
, pp.
153
164
.
38.
Karlsson
,
B.
, and
Sundstrom
,
B. O.
,
1974
, “
Inhomogeneity in Plastic Deformation of Two-Phase Steels
,”
Mater. Sci. Eng.
,
16
, pp.
161
168
.
39.
Ivanova
,
V. S.
,
Terent’yev
,
V. F.
, and
Poyda
,
V. G.
,
1970
, “
Features of the Built-up of Strain in Low-Carbon Steel Subjected to Cycles of Stress
,”
Phys. Met. Metallogr.
,
30
, pp.
165
171
.
40.
Oates
,
G.
, and
Wilson
,
D. V.
,
1964
, “
The Effects of Dislocation Locking and Strain Aging on the Fatigue Limit of Low-Carbon Steel
,”
Acta Metall.
,
12
, pp.
21
33
.
41.
Abel
,
A.
, and
Muir
,
H.
,
1973
, “
The Effect of Cyclic Loading on Subsequent Yielding
,”
Acta Metall.
,
21
, pp.
93
97
.
42.
Carrington
,
W. E.
, and
McLean
,
D.
,
1965
, “
Slip Nuclei in Silicon-Iron
,”
Acta Metall.
,
13
, pp.
493
499
.
43.
Ananathan
,
V. S.
, and
Hall
,
E. O.
,
1991
, “
Macroscopic Aspects of Lu¨ders Band Deformation in Mild Steel
,”
Acta Metall. Mater.
,
39
, pp.
3153
3160
.
44.
Hutchison
,
M. M.
,
1963
, “
The Temperature Dependence of the Yield Stress of Polycrystalline Iron
,”
Philos. Mag.
,
8
, pp.
121
127
.
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