J. Mater. Sci. Technol. ›› 2021, Vol. 80: 163-170.DOI: 10.1016/j.jmst.2020.11.056
• Research Article • Previous Articles Next Articles
Qiu-Jie Chena,b, Shang-Yi Maa,*(
), Shao-Qing Wanga
Received:2020-10-27
Accepted:2020-11-16
Published:2020-12-24
Online:2020-12-24
Contact:
Shang-Yi Ma
About author:*E-mail address: hyma@imr.ac.cn (S.-Y. Ma).Qiu-Jie Chen, Shang-Yi Ma, Shao-Qing Wang. The assisting and stabilizing role played by ω phase during the $~\left\{ 112 \right\}{{111}_{\beta }}$ twinning in Ti-Mo alloys: A first-principles insight[J]. J. Mater. Sci. Technol., 2021, 80: 163-170.
Fig. 1. Lattice parameters of (a) β and (b) ω phases functioned with Mo concentrations. (c) The energy difference between ω and β phase functioned with Mo concentrations.
Fig. 2. The configuration of ${{(112)}_{\beta }}/{{(10\bar{1}0)}_{\omega }}$ interface model. Yellow and black spheres represent β and ω phases, respectively.
Fig. 3. Successive slipping of partial dislocations on (a) ${{\left( 10\bar{1}0 \right)}_{\omega }}$ and (c) ${{(112)}_{\beta }}$ planes. The GPFE curves of $\left\{ 112 \right\}{{111}_{\beta }}$ twinning nucleation following (b) the ω-assisted and (d) the conventional modes in Ti-Mo alloy with different Mo concentrations. The 1 × 2 × 1 original configurations of ${{(112)}_{\beta }}/{{(10\bar{1}0)}_{\omega }}$ interface model and ${{(112)}_{\beta }}$ BCC model are projected on $\left( \bar{1}10 \right)$ plane. Yellow and black spheres represent β and ω phase, respectively.
| Alloy (at.%) | Mode | γus (mJ/m2) | γut (mJ/m2) |
|---|---|---|---|
| Ti-5Mo | ω-assisted | 581.06 | 1013.15 |
| conventional | 256.97 | 287.74 | |
| Ti-15Mo | ω-assisted | 475.13 | 642.00 |
| conventional | 307.76 | 361.18 | |
| Ti-20Mo | ω-assisted | 411.66 | 446.91 |
| conventional | 332.54 | 397.81 | |
| Ti-25Mo | ω-assisted | 354.80 | 256.48 |
| conventional | 363.37 | 440.91 |
Table 1 The values of unstable stacking fault energy (γus) and unstable twin fault energy (γut) for the ω-assisted and conventional $\left\{ 112 \right\}{{111}_{\beta }}$ twinning modes.
| Alloy (at.%) | Mode | γus (mJ/m2) | γut (mJ/m2) |
|---|---|---|---|
| Ti-5Mo | ω-assisted | 581.06 | 1013.15 |
| conventional | 256.97 | 287.74 | |
| Ti-15Mo | ω-assisted | 475.13 | 642.00 |
| conventional | 307.76 | 361.18 | |
| Ti-20Mo | ω-assisted | 411.66 | 446.91 |
| conventional | 332.54 | 397.81 | |
| Ti-25Mo | ω-assisted | 354.80 | 256.48 |
| conventional | 363.37 | 440.91 |
Fig. 4. The $(112){{\left[ 11\bar{1} \right]}_{\beta }}$ twinning growth process for Ti-25Mo. (a) The atom configuration of initial twin nucleus. The intermediate (b-c) and the final (d) atom configurations of twin. The four atom layers of ω phase adjacent to the vacuum were fixed during the relaxations. Yellow and black spheres represent β and ω phases, respectively.
Fig. 7. Schematic illustration of the formation of ITB ω phase through atomic displacements from the initial symmetrical $\left( 112 \right){{\left[ 11\bar{1} \right]}_{\beta }}$ TB in Ti-15Mo. Open circles and solid spheres represent the initial symmetrical $\left( 112 \right){{\left[ 11\bar{1} \right]}_{\beta }}$ TB and the relaxed $\left( 112 \right){{\left[ 11\bar{1} \right]}_{\beta }}$ TB plus ITB ω phase, respectively. Yellow and black spheres represent β and ω phase, respectively.
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