J. Mater. Sci. Technol. ›› 2019, Vol. 35 ›› Issue (10): 2200-2206.DOI: 10.1016/j.jmst.2019.04.030
• Orginal Article • Previous Articles Next Articles
Wenxue Lia, Leyun Wanga*(), Bijin Zhoua, Chuanlai Liua, Xiaoqin Zengab
Received:
2018-12-25
Revised:
2019-03-13
Accepted:
2019-04-10
Online:
2019-10-05
Published:
2019-08-28
Contact:
Wang Leyun
Wenxue Li, Leyun Wang, Bijin Zhou, Chuanlai Liu, Xiaoqin Zeng. Grain-scale deformation in a Mg-0.8 wt% Y alloy using crystal plasticity finite element method[J]. J. Mater. Sci. Technol., 2019, 35(10): 2200-2206.
Slip mode | N | 〈uvw〉 | {hkl} | τ0 (MPa) | τsat (MPa) |
---|---|---|---|---|---|
Basal | 3 | 11-20 | 0001 | 14 | 28 |
Prism | 3 | 11-20 | 1-100 | 65 | 130 |
Pyr〈a〉 | 6 | 11-20 | 1-101 | 65 | 130 |
Pyr〈c+a〉 | 6 | 11-2-3 | 10-11 | 110 | 220 |
TTW | 6 | -1011 | 10-12 | 80 | - |
CTW | 6 | 10-1-2 | 10-11 | 120 | - |
Table 1 Material parameters used in the present simulation: N is the number of systems in each slip/twin mode, 〈uvw〉 is the slip/twin direction, {hkl} is the slip/twin plane, τ0 is the slip resistance, τsat is the saturated slip resistance.
Slip mode | N | 〈uvw〉 | {hkl} | τ0 (MPa) | τsat (MPa) |
---|---|---|---|---|---|
Basal | 3 | 11-20 | 0001 | 14 | 28 |
Prism | 3 | 11-20 | 1-100 | 65 | 130 |
Pyr〈a〉 | 6 | 11-20 | 1-101 | 65 | 130 |
Pyr〈c+a〉 | 6 | 11-2-3 | 10-11 | 110 | 220 |
TTW | 6 | -1011 | 10-12 | 80 | - |
CTW | 6 | 10-1-2 | 10-11 | 120 | - |
Fig. 1. EBSD-measured {0001} pole figures of (a) the Mg-0.8 wt% Y specimen before deformation, (b) the as-rolled pure Mg specimen before deformation, and (c) the Mg-0.8 wt% Y specimen after 2% strain. The texture strength is shown for each pole figure.
Fig. 2. Engineering stress-strain curves of the Mg-0.8 wt% Y specimen (average grain size = 12 μm) and the pure Mg specimen (average grain size = 20 μm).
Fig. 3. (a) SEM image of Mg-0.8 wt% Y specimen after 2% strain, the red lines represent the direction of basal slip traces; (b) inverse pole figure (IPF) measured by EBSD with grain orientation represented by hexagonal unit cells before deformation.
Grain ID | Euler angles (°) | Slip mode | Slip System | SF |
---|---|---|---|---|
1 | (217, 121, 341) | Basal | (0001) [ | 0.481 |
2 | (139, 51, 6) | Basal | (0001) [- | 0.452 |
3 | (130, 134, 304) | Basal | (0001) [- | 0.368 |
Prism | (10-10) [- | 0.363 | ||
4 | (214, 160, 23) | Basal | (0001) [- | 0.260 |
Prism | (-1100) [- | 0.458 | ||
5 | (221, 143, 18) | Basal | (0001) [- | 0.407 |
Prism | (-1100) [ | 0.345 | ||
6 | (235, 33, 266) | Basal | (0001) [- | 0.292 |
7 | (142, 153, 301) | Basal | (0001) [- | 0.326 |
8 | (247, 17, 259) | Prism | (01-10) [ | 0.451 |
Prism | (-1100) [- | 0.398 | ||
9 | (109, 20, 26) | Prism | (011-0) [ | 0.494 |
Table 2 Orientation and slip activities identified in each grain by slip trace analysis (bold font) and CPFEM simulation only (non-bold font).
Grain ID | Euler angles (°) | Slip mode | Slip System | SF |
---|---|---|---|---|
1 | (217, 121, 341) | Basal | (0001) [ | 0.481 |
2 | (139, 51, 6) | Basal | (0001) [- | 0.452 |
3 | (130, 134, 304) | Basal | (0001) [- | 0.368 |
Prism | (10-10) [- | 0.363 | ||
4 | (214, 160, 23) | Basal | (0001) [- | 0.260 |
Prism | (-1100) [- | 0.458 | ||
5 | (221, 143, 18) | Basal | (0001) [- | 0.407 |
Prism | (-1100) [ | 0.345 | ||
6 | (235, 33, 266) | Basal | (0001) [- | 0.292 |
7 | (142, 153, 301) | Basal | (0001) [- | 0.326 |
8 | (247, 17, 259) | Prism | (01-10) [ | 0.451 |
Prism | (-1100) [- | 0.398 | ||
9 | (109, 20, 26) | Prism | (011-0) [ | 0.494 |
Fig. 4. (a) A finite element mesh established by DAMASK using the grain orientation and grain geometry measured by EBSD, the color represents the second Euler angles (Φ) in all grains; (b) the experimental stress-strain curve of the Mg-0.8 wt% Y specimen and the simulation result.
Fig. 5. Accumulated shear of basal slip, prismatic slip, and pyramidal 〈a〉 slip in grains 1-9 after 2% strain from the simulation result. The most active slip system(s) are given for each grain.
Fig. 6. SFs of (a) basal slip, (b) prismatic slip, and (c) pyramidal 〈a〉 slip in all grains; the accumulated shear of (d) basal slip, (e) prismatic slip, and (f) pyramidal 〈a〉 slip in all grains after 2% strain.
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