J. Mater. Sci. Technol. ›› 2017, Vol. 33 ›› Issue (1): 90-98.DOI: 10.1016/j.jmst.2016.01.010
• Orginal Article • Previous Articles Next Articles
Zheng Xuehao1,Zhang Hongwang1,2,*()
Received:
2015-11-05
Accepted:
2015-12-29
Online:
2017-01-20
Published:
2017-02-14
Contact:
Zhang Hongwang
Zheng Xuehao,Zhang Hongwang. Experimental Determination of Deformation Induced Lattice Rotation by EBSD Technique for Slip System Analysis[J]. J. Mater. Sci. Technol., 2017, 33(1): 90-98.
Fig.1 Misorientation axes expressed in stereographic projections referred to the SCS (a) and CCS (b), respectively. (c) Schematic illustration of calculation of misorientation on a square grid
Fig.2 Schematic illustrations of (a) the raw project of 3-column and 3-row, (b) an updated project by inserting non-index data, (c) the Type 1 and (d) the Type 2 projects
Phase indexa | Xpos (μm) | Ypos (μm) | Euler1 (deg.) | Euler2 (deg.) | Euler3 (deg.) |
---|---|---|---|---|---|
1 | 342 | 128 | 185.62 | 44.38 | 16.10 |
1 | 344 | 128 | 34.87 | 43.05 | 348.30 |
0 | 346 | 128 | 0 | 0 | 0 |
1 | 348 | 128 | 185.20 | 44.33 | 15.82 |
1 | 350 | 128 | 34.87 | 43.05 | 348.30 |
0 | 352 | 128 | 0 | 0 | 0 |
1 | 354 | 128 | 186.54 | 44.57 | 14.55 |
1 | 356 | 128 | 34.87 | 43.05 | 348.30 |
0 | 358 | 128 | 0 | 0 | 0 |
Table 1 An example showing the data in the text-based file for Type 1 projects
Phase indexa | Xpos (μm) | Ypos (μm) | Euler1 (deg.) | Euler2 (deg.) | Euler3 (deg.) |
---|---|---|---|---|---|
1 | 342 | 128 | 185.62 | 44.38 | 16.10 |
1 | 344 | 128 | 34.87 | 43.05 | 348.30 |
0 | 346 | 128 | 0 | 0 | 0 |
1 | 348 | 128 | 185.20 | 44.33 | 15.82 |
1 | 350 | 128 | 34.87 | 43.05 | 348.30 |
0 | 352 | 128 | 0 | 0 | 0 |
1 | 354 | 128 | 186.54 | 44.57 | 14.55 |
1 | 356 | 128 | 34.87 | 43.05 | 348.30 |
0 | 358 | 128 | 0 | 0 | 0 |
Phase indexa | Xpos (μm) | Ypos (μm) | Euler1 (deg.) | Euler2 (deg.) | Euler3 (deg.) |
---|---|---|---|---|---|
1 | 342 | 128 | 150.18 | 7.00 | 218.40 |
1 | 344 | 128 | 0 | 0 | 0 |
0 | 346 | 128 | 0 | 0 | 0 |
1 | 348 | 128 | 147.02 | 7.41 | 221.86 |
1 | 350 | 128 | 0 | 0 | 0 |
0 | 352 | 128 | 0 | 0 | 0 |
1 | 354 | 128 | 142.06 | 7.21 | 226.01 |
1 | 356 | 128 | 0 | 0 | 0 |
0 | 358 | 128 | 0 | 0 | 0 |
Table 2 An example showing the data in the text-based file for Type 2 project
Phase indexa | Xpos (μm) | Ypos (μm) | Euler1 (deg.) | Euler2 (deg.) | Euler3 (deg.) |
---|---|---|---|---|---|
1 | 342 | 128 | 150.18 | 7.00 | 218.40 |
1 | 344 | 128 | 0 | 0 | 0 |
0 | 346 | 128 | 0 | 0 | 0 |
1 | 348 | 128 | 147.02 | 7.41 | 221.86 |
1 | 350 | 128 | 0 | 0 | 0 |
0 | 352 | 128 | 0 | 0 | 0 |
1 | 354 | 128 | 142.06 | 7.21 | 226.01 |
1 | 356 | 128 | 0 | 0 | 0 |
0 | 358 | 128 | 0 | 0 | 0 |
Fig.13 Screen shots of (a-c) building the EBSD project from a text-based file and (e, f) defining the orientation relationships between different coordinates shown in (d)
Index | Rc | Rotation angle (deg.) | ||
---|---|---|---|---|
r1 | r2 | r3 | ||
1 | 0.230 | 0.969 | 0.086 | 1.7 |
2 | -0.115 | 0.990 | 0.084 | 3.3 |
3 | 0.572 | -0.706 | -0.417 | 1.8 |
4 | 0.228 | -0.638 | -0.735 | 1.5 |
5 | 0.246 | -0.655 | -0.715 | 1.2 |
6 | 0.329 | -0.149 | -0.933 | 0.3 |
7 | 0.860 | 0.476 | 0.184 | 1.4 |
8 | 0.434 | -0.628 | -0.645 | 3.7 |
9 | 0.526 | -0.721 | -0.451 | 2.7 |
Table 3 An example showing the rotation information referred to the crystal coordinate system (CCS)
Index | Rc | Rotation angle (deg.) | ||
---|---|---|---|---|
r1 | r2 | r3 | ||
1 | 0.230 | 0.969 | 0.086 | 1.7 |
2 | -0.115 | 0.990 | 0.084 | 3.3 |
3 | 0.572 | -0.706 | -0.417 | 1.8 |
4 | 0.228 | -0.638 | -0.735 | 1.5 |
5 | 0.246 | -0.655 | -0.715 | 1.2 |
6 | 0.329 | -0.149 | -0.933 | 0.3 |
7 | 0.860 | 0.476 | 0.184 | 1.4 |
8 | 0.434 | -0.628 | -0.645 | 3.7 |
9 | 0.526 | -0.721 | -0.451 | 2.7 |
Fig.5 IPF maps and the corresponding {110} figure of one selected grain at successive strains: (a, d) ε?=?0, (b, e) ε?=?0.18 and (c, f) ε?=?0.40. Black lines represent boundaries with misorientation angles larger than 5°.
Fig.7 Visualization of Rs (a, b), Rc (c, d) and rotation-angle maps (e, f) for the studied grain at strains of (a, c, e) ε?=?0.18 and (b, d, f) ε? =?0.40. The color codes for rotation-axis maps are shown as insets in (a-d). The color bars representing the rotation angle are inserts in (e, f)
Plane | a?=?(111) | | | | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Direction | 101 | 101 | 110 | |||||||||
System | a1 | a2 | a3 | b1 | b2 | b3 | c1 | c2 | c3 | d1 | d2 | d3 |
Schmid factor | -0.16 | -0.03 | 0.19 | -0.15 | -0.23 | 0.37 | 0.05 | -0.23 | 0.18 | 0.04 | -0.43 | 0.38 |
Schmid factor along TD | 0.22 | 0.37 | 0.15 | 0.04 | 0.03 | 0.00 | 0.15 | 0.47 | 0.33 | 0.32 | 0.14 | 0.18 |
Taylor axis | 112 | 211 | 121 |
Table 4 Schmid factors and Taylor axes of the 12 slip systems in the studied grain
Plane | a?=?(111) | | | | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Direction | 101 | 101 | 110 | |||||||||
System | a1 | a2 | a3 | b1 | b2 | b3 | c1 | c2 | c3 | d1 | d2 | d3 |
Schmid factor | -0.16 | -0.03 | 0.19 | -0.15 | -0.23 | 0.37 | 0.05 | -0.23 | 0.18 | 0.04 | -0.43 | 0.38 |
Schmid factor along TD | 0.22 | 0.37 | 0.15 | 0.04 | 0.03 | 0.00 | 0.15 | 0.47 | 0.33 | 0.32 | 0.14 | 0.18 |
Taylor axis | 112 | 211 | 121 |
Fig.8 Rotation-axis maps and the corresponding stereographic projections of the whole grain (a, d), the grain boundary regions (b, e) and the grain interior (c, f) at a strain of 0.18
Fig.9 Rotation-axis projections of the studied grain after a strain of 0.18. Apart from the experimentally measured rotation axes marked as small black dots, the rotation axes derived from the full range of Taylor solutions and the preferred solution are marked as red stars and blue diamonds, respectively
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