Acta Metallurgica Sinica (English Letters) ›› 2022, Vol. 35 ›› Issue (10): 1641-1652.DOI: 10.1007/s40195-022-01399-2
Special Issue: 2022年高熵合金专辑
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Fengqi Zhang1,2, Chao Xiang3, En-Hou Han1,3(
), Zijian Zhang1,2
Received:2021-12-07
Revised:2022-01-17
Accepted:2022-01-24
Online:2022-04-22
Published:2022-04-22
Contact:
En-Hou Han
About author:En-Hou Han, ehhan@imr.ac.cnFengqi Zhang, Chao Xiang, En-Hou Han, Zijian Zhang. Effect of Nb Content on Microstructure and Mechanical Properties of Mo0.25V0.25Ti1.5Zr0.5Nbx High-Entropy Alloys[J]. Acta Metallurgica Sinica (English Letters), 2022, 35(10): 1641-1652.
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| Element | r (nm) | ${T}_{\mathrm{m}}$ (°C ) | VEC | ${\sigma }_{\mathrm{A}}$(barn) | ${H}_{\mathrm{v}}$ (MPa) |
|---|---|---|---|---|---|
| Mo | 0.136 | 2620 | 6 | 2.48 | 1530 |
| V | 0.132 | 1890 | 5 | 5.08 | 628 |
| Ti | 0.146 | 1668 | 4 | 6.09 | 970 |
| Zr | 0.16 | 1852 | 4 | 0.185 | 903 |
| Nb | 0.143 | 2468 | 5 | 1.15 | 1320 |
Table 1 Atomic radius (r), melting point (${T}_{\mathrm{m}}$), VEC, thermal neutron absorption cross-section (${\sigma }_{\mathrm{A}}$) and Vickers hardness (${H}_{\mathrm{v}}$) of each element
| Element | r (nm) | ${T}_{\mathrm{m}}$ (°C ) | VEC | ${\sigma }_{\mathrm{A}}$(barn) | ${H}_{\mathrm{v}}$ (MPa) |
|---|---|---|---|---|---|
| Mo | 0.136 | 2620 | 6 | 2.48 | 1530 |
| V | 0.132 | 1890 | 5 | 5.08 | 628 |
| Ti | 0.146 | 1668 | 4 | 6.09 | 970 |
| Zr | 0.16 | 1852 | 4 | 0.185 | 903 |
| Nb | 0.143 | 2468 | 5 | 1.15 | 1320 |
| Alloys | ${\Delta H}_{\mathrm{mix}}$ (kJ/mol) | ${\Delta S}_{\mathrm{mix}}$ (J/mol·K) | Ω | δ (%) | VEC |
|---|---|---|---|---|---|
| Nb0 | - 2.24 | 9.05 | 8.47 | 5.66 | 4.3 |
| Nb0.25 | - 1.42 | 10.76 | 16.31 | 5.45 | 4.36 |
| Nb0.5 | - 0.83 | 11.29 | 29.85 | 5.26 | 4.42 |
| Nb0.75 | - 0.40 | 11.46 | 63.90 | 5.09 | 4.46 |
| Nb1.0 | - 0.08 | 11.44 | 319.51 | 4.93 | 4.5 |
Table 2 Calculated empirical parameters ${\Delta H}_{\mathrm{mix}}$, $\Delta {S}_{\mathrm{mix}}$, Ω, δ and VEC of Mo0.25V0.25Ti1.5Zr0.5Nbx high-entropy alloys
| Alloys | ${\Delta H}_{\mathrm{mix}}$ (kJ/mol) | ${\Delta S}_{\mathrm{mix}}$ (J/mol·K) | Ω | δ (%) | VEC |
|---|---|---|---|---|---|
| Nb0 | - 2.24 | 9.05 | 8.47 | 5.66 | 4.3 |
| Nb0.25 | - 1.42 | 10.76 | 16.31 | 5.45 | 4.36 |
| Nb0.5 | - 0.83 | 11.29 | 29.85 | 5.26 | 4.42 |
| Nb0.75 | - 0.40 | 11.46 | 63.90 | 5.09 | 4.46 |
| Nb1.0 | - 0.08 | 11.44 | 319.51 | 4.93 | 4.5 |
Fig. 1 a ${\Delta H}_{\mathrm{mix}}$-x, b $\Delta {S}_{\mathrm{mix}}$-x, c Ω-x, d δ-x and e VEC-x plots for the Mo0.25V0.25Ti1.5Zr0.5Nbx (x = 0, 0.25, 0.5, 0.75, 1.0) alloy systems
Fig. 2 a Non-equilibrium solidification curves for the Mo0.25V0.25Ti1.5Zr0.5Nbx (x = 0, 0.25, 0.5, 0.75, 1.0) alloys. Calculated equilibrium phase diagrams for the b Nb0 alloy, c Nb0.25 alloy, d Nb0.5 alloy, e Nb0.75 alloy and f Nb1.0 alloy
| Alloys | Tliq (°C) | Tsol (°C) | Tdec (°C) | (Tsol - Tdec) /Tsol | Phase constitution and volume fraction |
|---|---|---|---|---|---|
| Nb0 | 1664 | 1632 | 557 | 0.66 | BCC#1 (0.70) + HCP (0.30) |
| Nb0.25 | 1708 | 1657 | 570 | 0.66 | BCC#1(0.47) + BCC#2(0.10) + HCP (0.43) |
| Nb0.5 | 1756 | 1680 | 648 | 0.61 | BCC#1 (0.35) + BCC#2 (0.18) + HCP (0.47) |
| Nb0.75 | 1801 | 1702 | 683 | 0.60 | BCC#1 (0.28) + BCC#2 (0.24) + HCP (0.48) |
| Nb1.0 | 1841 | 1723 | 700 | 0.59 | BCC#1 (0.22) + BCC#2 (0.29) + HCP (0.49) |
Table 3 Liquidus temperature (Tliq), solidus temperature (Tsol) and decomposition temperature (Tdec), the ratio ((Tsol - Tdec)/Tdec) value, equilibrium phase constitution and volume fraction at 500 °C of Mo0.25V0.25Ti1.5Zr0.5Nbx (x = 0, 0.25, 0.5, 0.75 and 1.0) alloys
| Alloys | Tliq (°C) | Tsol (°C) | Tdec (°C) | (Tsol - Tdec) /Tsol | Phase constitution and volume fraction |
|---|---|---|---|---|---|
| Nb0 | 1664 | 1632 | 557 | 0.66 | BCC#1 (0.70) + HCP (0.30) |
| Nb0.25 | 1708 | 1657 | 570 | 0.66 | BCC#1(0.47) + BCC#2(0.10) + HCP (0.43) |
| Nb0.5 | 1756 | 1680 | 648 | 0.61 | BCC#1 (0.35) + BCC#2 (0.18) + HCP (0.47) |
| Nb0.75 | 1801 | 1702 | 683 | 0.60 | BCC#1 (0.28) + BCC#2 (0.24) + HCP (0.48) |
| Nb1.0 | 1841 | 1723 | 700 | 0.59 | BCC#1 (0.22) + BCC#2 (0.29) + HCP (0.49) |
Fig. 3 a X-ray diffraction patterns of the as-cast Mo0.25V0.25Ti1.5Zr0.5Nbx (x = 0, 0.25, 0.5, 0.75 and 1.0) alloys, b the magnified (110) peaks of BCC phase in the as-cast alloys
| Alloy | Region | Elements (at.%) | ||||
|---|---|---|---|---|---|---|
| Mo | V | Ti | Zr | Nb | ||
| Nb0 | Nominal | 10.0 | 10.0 | 60.0 | 20.0 | |
| Overall | 11.1 | 10.1 | 58.5 | 20.3 | ||
| Dendrite | 8.6 | 10.0 | 57. 5 | 23.9 | ||
| Interdendrite | 11.5 | 9.3 | 60.7 | 18.5 | ||
| Nb0.25 | Nominal | 9.1 | 9.1 | 54.5 | 18.2 | 9.1 |
| Overall | 9.2 | 8.7 | 53.2 | 19.3 | 9.6 | |
| Dendrite | 7.0 | 9.2 | 51.7 | 24.5 | 7.6 | |
| Interdendrite | 9.7 | 8.0 | 54.5 | 17.7 | 10.1 | |
| Nb0.5 | Nominal | 8.3 | 8.3 | 50.0 | 16.7 | 16.7 |
| Overall | 8.2 | 8.1 | 49.1 | 18.1 | 16.5 | |
| Dendrite | 9.2 | 7.2 | 49.1 | 15.7 | 18.8 | |
| Interdendrite | 8.4 | 7.7 | 49.9 | 18.6 | 15.4 | |
| Nb0.75 | Nominal | 7.7 | 7.7 | 46.1 | 15.4 | 23.1 |
| Overall | 7.9 | 7.8 | 44.8 | 17.2 | 22.3 | |
| Dendrite | 9.9 | 6.1 | 43.5 | 14.8 | 25.7 | |
| Interdendrite | 6.4 | 7.4 | 46.1 | 21.3 | 18.8 | |
| Nb1.0 | Nominal | 7.1 | 7.1 | 42.9 | 14.3 | 28.6 |
| Overall | 7.4 | 7.0 | 42.1 | 16.2 | 27.3 | |
| Dendrite | 9.1 | 5.8 | 40.7 | 13.6 | 30.8 | |
| Interdendrite | 6.1 | 7.5 | 43.3 | 20.5 | 22.6 | |
Table 4 Chemical composition of the as-cast Mo0.25V0.25Ti1.5Zr0.5Nbx (x = 0, 0.25, 0.5, 0.75 and 1.0) alloys
| Alloy | Region | Elements (at.%) | ||||
|---|---|---|---|---|---|---|
| Mo | V | Ti | Zr | Nb | ||
| Nb0 | Nominal | 10.0 | 10.0 | 60.0 | 20.0 | |
| Overall | 11.1 | 10.1 | 58.5 | 20.3 | ||
| Dendrite | 8.6 | 10.0 | 57. 5 | 23.9 | ||
| Interdendrite | 11.5 | 9.3 | 60.7 | 18.5 | ||
| Nb0.25 | Nominal | 9.1 | 9.1 | 54.5 | 18.2 | 9.1 |
| Overall | 9.2 | 8.7 | 53.2 | 19.3 | 9.6 | |
| Dendrite | 7.0 | 9.2 | 51.7 | 24.5 | 7.6 | |
| Interdendrite | 9.7 | 8.0 | 54.5 | 17.7 | 10.1 | |
| Nb0.5 | Nominal | 8.3 | 8.3 | 50.0 | 16.7 | 16.7 |
| Overall | 8.2 | 8.1 | 49.1 | 18.1 | 16.5 | |
| Dendrite | 9.2 | 7.2 | 49.1 | 15.7 | 18.8 | |
| Interdendrite | 8.4 | 7.7 | 49.9 | 18.6 | 15.4 | |
| Nb0.75 | Nominal | 7.7 | 7.7 | 46.1 | 15.4 | 23.1 |
| Overall | 7.9 | 7.8 | 44.8 | 17.2 | 22.3 | |
| Dendrite | 9.9 | 6.1 | 43.5 | 14.8 | 25.7 | |
| Interdendrite | 6.4 | 7.4 | 46.1 | 21.3 | 18.8 | |
| Nb1.0 | Nominal | 7.1 | 7.1 | 42.9 | 14.3 | 28.6 |
| Overall | 7.4 | 7.0 | 42.1 | 16.2 | 27.3 | |
| Dendrite | 9.1 | 5.8 | 40.7 | 13.6 | 30.8 | |
| Interdendrite | 6.1 | 7.5 | 43.3 | 20.5 | 22.6 | |
Fig. 6 a X-ray diffraction patterns of Mo0.25V0.25Ti1.5Zr0.5Nbx (x = 0, 0.25, 0.5, 0.75 and 1.0) alloys after homogenization treatment at 1200 °C for 24 h, b the magnified (110) peaks of BCC phase in the annealed alloys
Fig. 8 a Bright field TEM images, b selected area electron diffraction pattern and c elemental mappings of Mo, V, Ti, Zr, and Nb of the annealed Nb0 alloy
| Nb0 | Nb0.25 | Nb0.5 | Nb0.75 | Nb1.0 |
|---|---|---|---|---|
| 408.6 ± 6.7 | 387.2 ± 7.2 | 346.6 ± 7.3 | 354.8 ± 5.3 | 349.9 ± 6.0 |
Table 5 Vickers hardness of the studied alloys in annealed states (HV)
| Nb0 | Nb0.25 | Nb0.5 | Nb0.75 | Nb1.0 |
|---|---|---|---|---|
| 408.6 ± 6.7 | 387.2 ± 7.2 | 346.6 ± 7.3 | 354.8 ± 5.3 | 349.9 ± 6.0 |
Fig. 10 a Room-temperature compressive stress-strain curves, and b yield strength (σ0.2), compressive strength (σp), and fracture strain (εf) of the annealed Mo0.25V0.25Ti1.5Zr0.5Nbx alloys
| Alloy | σ0.2 (MPa) | σp (MPa) | εf (%) |
|---|---|---|---|
| Nb0 | 1020.04 | 1244.25 | 9.88 |
| Nb0.25 | 1099.05 | 1473.81 | 19.57 |
| Nb0.5 | 1087.55 | 1470.75 | 22.23 |
| Nb0.75 | 1084.84 | 1416.54 | 23.63 |
| Nb1.0 | 905.05 | 1307.26 | 28.32 |
Table 6 Yield strength (σ0.2), compressive strength (σp), and fracture strain (εf) of the annealed Mo0.25V0.25Ti1.5Zr0.5Nbx alloys
| Alloy | σ0.2 (MPa) | σp (MPa) | εf (%) |
|---|---|---|---|
| Nb0 | 1020.04 | 1244.25 | 9.88 |
| Nb0.25 | 1099.05 | 1473.81 | 19.57 |
| Nb0.5 | 1087.55 | 1470.75 | 22.23 |
| Nb0.75 | 1084.84 | 1416.54 | 23.63 |
| Nb1.0 | 905.05 | 1307.26 | 28.32 |
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