Experimental techniques were applied to study the heterogeneities of deformation of metals at the mesoscopic scale (typically 100μm in the present case). The first are fiducial carbon grids that are transferred on to the surface of the test-pieces. Here, they were used on single and polycrystals deformed in channel-die compression. They prove efficient for strains above 1. They bring out the role of the corners of the samples, which trigger bands of deformation that grow in importance as the compression goes on. They put in evidence the mesoheterogeneities that appear in the mechanical behavior of a few highly symmetric orientations such as cube. The second technique is the use of microfocused X-rays, which give the crystallographic orientation at the same scale of 100μm and can work in the presence of the carbon grids even when there is considerable strain hardening. The gradients found in the lattice rotations are far less pronounced than the sharp localizations in the displacement field. This highlights the importance of the rotations due to the activity of the slip systems.

1.
Hill
,
R.
, 1963, “
Elastic Properties of Reinforced Solids: Some Theoretical Principles
,”
J. Mech. Phys. Solids
0022-5096,
11
, pp.
357
372
.
2.
Gorczyca
,
S.
,
Dymek
,
S.
,
Ryś
,
J.
,
Maslanka
,
M.
, and
Wróbel
,
M.
, 1986, “
Nomenclature for Structural Heretogeneities Produced by the Deformation of Metals
,”
Arch. Metall.
0860-7052,
31
, pp.
23
32
.
3.
Korbel
,
A.
, and
Martin
,
P.
, 1986, “
Microscopic Versus Macroscopic Aspect of Shear Bands Deformation
,”
Acta Metall.
0001-6160,
34
(
10
), pp.
1905
1909
.
4.
Godfrey
,
A.
,
Juul Jensen
,
D.
, and
Hansen
,
N.
, 1998, “
Slip Pattern, Microstructure and Local Cystallography in an Aluminium Single Crystal of Brass Orientation {110}⟨112⟩
,”
Acta Mater.
1359-6454,
46
(
3
), pp.
823
833
.
5.
Paul
,
H.
,
Driver
,
J. H.
,
Maurice
,
C.
, and
Jasieński
,
Z.
, 2002, “
Crystallographic Aspects of the Early Stages of Recrystallisation in Brass-Type Shear Bands
,”
Acta Mater.
1359-6454,
50
, pp.
4339
4355
.
6.
Chapelle
,
D.
, and
Darrieulat
,
M.
, 2003, “
The Occurrence of Shear Banding in a Millimeter Scale (1¯2¯3)[634] Grain of an Al-4.5% Mg Alloy During Plane Strain Compression
,”
Mater. Sci. Eng., A
0921-5093,
347
, pp.
32
41
.
7.
Ye
,
D.
,
Matsuoka
,
S.
, and
Nagashima
,
N.
, 2007, “
Determination of Fatigue Mesoscopic Mechanical Properties of an Austenitic Stainless Steel Using Depth-Sensing Indentation (DSI) Technique
,”
Mater. Sci. Eng., A
0921-5093,
456
(
1–2
), pp.
120
129
.
8.
Tyumentsev
,
A. N.
,
Pinzhin
,
Yu. P.
,
Tretjak
,
M. V.
,
Korotaev
,
A. D.
,
Ditenberg
,
I. A.
,
Valiev
,
R. Z.
,
Islamgaliev
,
R. K.
, and
Korznikov
,
A. V.
, 2001, “
Evolution of Defect Substructure of Metal Alloys at Microscopic and Mesoscopic Level Under Torsion
,”
Theor. Appl. Fract. Mech.
0167-8442,
35
(
2
), pp.
155
161
.
9.
Needleman
,
A.
, 1988, “
Continuum Mechanics Studies of Plastic Instabilities
,”
Rev. Phys. Appl.
0035-1687,
23
, pp.
585
593
.
10.
Attwood
,
D. G.
, and
Hazzledine
,
P. M.
, 1976, “
A Fiducial Grid for High-Resolution Metallography
,”
Metallography
0026-0800,
9
, pp.
483
500
.
11.
Karimi
,
A.
, 1984, “
Plastic Flow Study Using the Microgrid Technique
,”
Mater. Sci. Eng.
0025-5416,
63
, pp.
267
276
.
12.
Poussardin
,
J. Y.
, 2003, “
Caractérisation et évolution des bandes de cisaillement dans les monocristaux d’Al-Mn de différentes orientations cristallographiques
,” Ph.D. thesis, Ecole des Mines de Saint-Etienne, France.
14.
Mathias
,
J. D.
,
Balandraud
,
X.
, and
Grédiac
,
M.
, 2006, “
Experimental Investigation of Composite Patches With a Full-Field Measurement Method
,”
Composites, Part A
1359-835X,
37
, pp.
177
190
.
15.
Piro
,
J. L.
, and
Grédiac
,
M.
, 2003, “
Sur une méthode d’obtention de grilles transférables destinées à la mesure optique de champs de déplacement
,”
Proceedings of the Congress Held by the French Society for Optics
, Belfort, France, Nov.,
P.
Smigielski
, ed., pp.
491
495
.
16.
Zhani
,
K.
, 2006, “
Protocole de dépôt des grilles transférables préencollées
,” Ecole des Mines de Saint-Etienne, Internal Report No. 2006-34.
17.
Chin
,
G. Y.
,
Nesbitt
,
A. J.
, and
William
,
A. J.
, 1966, “
Anisotropy of Strength in Single Crystals Under Plane Strain Compression
,”
Acta Metall.
0001-6160,
14
, pp.
467
476
.
18.
Wonsiewicz
,
B. C.
,
Chin
,
G. Y.
, and
Hart
,
R. R.
, 1971, “
Lateral Constraints in Plane Strain Compression of Single Crystals
,”
Metall. Trans.
0026-086X,
2
, pp.
2093
2096
.
19.
Randle
,
V.
, and
Engler
,
O.
, 2000,
Introduction to Texture Analysis, Macrotexture, Microtexture & Orientation Mapping
,
Gordon and Breach Science
,
Amsteldijk, The Netherlands
, pp.
61
70
.
21.
Hurley
,
P. J.
, and
Humphreys
,
F. J.
, 2003, “
The Application of EBSD to the Study of Substructural Development in a Cold Rolled Single-Phase Aluminium Alloy
,”
Acta Mater.
1359-6454,
51
, pp.
1087
1102
.
22.
Korbel
,
A.
,
Embury
,
J. D.
,
Hatherly
,
M.
,
Martin
,
P. L.
, and
Erbsloh
,
H. W.
, 1986, “
Microstructural Aspects of Strain Localization in Al-Mg Alloys
,”
Acta Metall.
0001-6160,
34
(
10
), pp.
1999
2009
.
23.
Aernoudt
,
E.
, and
Stüwe
,
H. P.
, 1970, “
Die Endlagen der Verformungstextur, insbesondere bei kubisch-flächenzentrierten Metallen
,”
Z. Metallkd.
0044-3093,
61
, pp.
128
136
.
24.
Becker
,
R.
,
Butler
,
J. F.
,
Hu
,
H.
, and
Lalli
,
L. A.
, 1991, “
Analysis of an Aluminum Single Crystal With Unstable Initial Orientation (001)[110] in Channel-Die Compression
,”
Metall. Trans. A
0360-2133,
22A
, pp.
45
58
.
25.
Havner
,
K. S.
, and
Chidambarrao
,
D.
, 1987, “
Analysis of a Family of Unstable Lattice Orientations in (110) Channel Die Compression
,”
Acta Mech.
0001-5970,
69
, pp.
243
269
.
26.
Havner
,
K. S.
, 1992, “
Finite Plastic Deformation of Crystalline Solids
,” paperback reprint, Cambridge University Press, North American Branch, New York, p.
112
.
27.
Surrel
,
Y.
, 1996, “
Design of Algorithms for Phase Measurements by the Use of Phase Stepping
,”
Appl. Opt.
0003-6935,
35
(
1
), pp.
51
60
.
28.
Kamijo
,
T.
, and
Fujiwara
,
A.
, 1991, “
Shear Bands in High Purity Al
,”
Scr. Metall. Mater.
0956-716X,
25
, pp.
949
954
.
29.
Wróbel
,
M.
,
Dymek
,
S.
,
Blicharski
,
M.
, and
Gorczyca
,
S.
, 1993, “
Shear Band Formation in the Rolled Metals
,”
Arch. Metall.
0860-7052,
38
(
2
), pp.
195
203
.
30.
Vanderesse
,
N.
,
Desrayaud
,
Ch.
,
Girard-Insardi
,
S.
, and
Darrieulat
,
M.
, 2008, “
Channel-Die Compression at High Temperature
,”
Mater. Sci. Eng., A
0921-5093,
476
, pp.
322
332
.
31.
Butler
,
J. F.
, Jr.
, and
Hu
,
H.
, 1989, “
Channel Die Compression of Aluminum Single Crystals
,”
Mater. Sci. Eng., A
0921-5093,
114
, pp.
L29
L33
.
32.
Nakayama
,
Y.
, and
Morii
,
K.
, 1986, “
Microstructure and Shear Band Formation in Rolled Single Crystals of Al-Mg Alloy
,”
Acta Metall.
0001-6160,
34
(
7
), pp.
1747
1755
.
33.
Wagner
,
P.
,
Engler
,
O.
, and
Lücke
,
K.
, 1995, “
Formation of Cu-Type Shear Bands and Their Influence on Deformation and Texture of Rolled (112)[111¯] Single Crystals
,”
Acta Metall. Mater.
0956-7151,
43
(
10
), pp.
3799
3812
.
34.
Jasieński
,
Z.
,
Baudin
,
T.
,
Piątkowski
,
A.
, and
Penelle
,
R.
, 1996, “
Orientation Changes Inside Shear Bands Occurring in Channel-Die Compressed (112)[1¯1¯1] Copper Single Crystals
,”
Scr. Mater.
1359-6462,
35
, pp.
397
403
.
35.
Hatherly
,
M.
, and
Malin
,
A. S.
, 1984, “
Shear Bands in Deformed Metals
,”
Scr. Metall.
0036-9748,
18
(
5
), pp.
449
454
.
36.
Basson
,
F.
, and
Driver
,
J. H.
, 2000, “
Deformation Banding Mechanisms During Plane Strain Compression of Cube-Oriented f.c.c. Crystals
,”
Acta Mater.
1359-6454,
48
, pp.
2101
2115
.
37.
Wert
,
J. M.
,
Liu
,
Q.
, and
Hansen
,
N.
, 1997, “
Dislocation Boundary Formation in a Cold Rolled Cube-Oriented Al Single Crystal
,”
Acta Mater.
1359-6454,
45
, pp.
2565
2576
.
38.
Gourdet
,
S.
,
Jonas
,
J. J.
, and
Montheillet
,
F.
, 1998, “
Minimum-Angle Versus Low-Index Axis Rotations for Representing Small- and Large-Angle Grain Boundary Misorientations in Cubic Lattices
,”
J. Appl. Crystallogr.
0021-8898,
31
, pp.
204
211
.
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