材料科学与技术 ›› 2019, Vol. 35 ›› Issue (5): 833-851.DOI: 10.1016/j.jmst.2018.11.016
-
收稿日期:2018-07-06接受日期:2018-10-09出版日期:2019-05-10发布日期:2019-02-20
Advances on strategies for searching for next generation thermal barrier coating materials
Bin Liua, Yuchen Liua, Changhua Zhua, Huimin Xiangb, Hongfei Chena, Luchao Sunc, Yanfeng Gaoa, Yanchun Zhoub?(
)
- aSchool of Materials Science and Engineering, Shanghai University, Shanghai, 200444, China
bScience and Technology on Advanced Functional Composite Laboratory, Aerospace Research Institute of Material & Processing Technology, Beijing,100076, China;
cHigh-performance Ceramics Division, Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences,Shenyang, 110016, China
-
Received:2018-07-06Accepted:2018-10-09Online:2019-05-10Published:2019-02-20 -
Contact:Zhou Yanchun -
About author:1 These authors contribute equally to this paper.
引用本文
. [J]. 材料科学与技术, 2019, 35(5): 833-851.
Bin Liu, Yuchen Liu, Changhua Zhu, Huimin Xiang, Hongfei Chen, Luchao Sun, Yanfeng Gao, Yanchun Zhou. Advances on strategies for searching for next generation thermal barrier coating materials[J]. J. Mater. Sci. Technol., 2019, 35(5): 833-851.
Fig. 1 Schematic illustration of the multilayer of the thermal barrier coating system.
Fig. 1 Schematic illustration of the multilayer of the thermal barrier coating system.
Fig. 2 Schematic illustration of the crystal structure of promising TBC materials.
Fig. 2 Schematic illustration of the crystal structure of promising TBC materials.
Table 1 Calculated and experimentally determined thermal conductivities (in W/m·K) of some promising TBC materials [3,7,9,12,23,[32], [33], [34],[39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57]].
| Compound | κcal | κexp | Compound | κcal | κexp |
|---|---|---|---|---|---|
| La2Zr2O7 | κmin?=?1.3 | κmin?=?1.5 | Gd2Zr2O7 | κmin?=?1.2 | κmin?=?1.3 |
| Al5BO9 | κmin?=?1.59 | Yb2SiO5 | κ1200K?=?0.74 | κ1200K?=?1.5 | |
| ZrSiO4 | κ1773K?=?1.75 κmin?=?1.54 | κ1773K?=?4 | HfSiO4 | κmin?=?1.24 | |
| SrZrO3 | κmin?=?1.37 | κ1273K?=?2.08 | BaZrO3 | κmin?=?1.24 | κ1150K?=?3.42 |
| Y4Al2O9 | κ1150K?=?1.13 | κ1150K?=?1.95 | YbAlO3 | κmin?=?1.15 | |
| YAlO3 | κmin?=?1.61 | Y2SiO5 | κmin?=?1.13 | κ1200K?=?1.22 | |
| γ-Y2Si2O7 | κmin?=?1.35 | κ1400K?=?1.9 | Yb3Al5O12 | κ1200K?=?1.22 | κ1200K?=?2.16 |
| TiP2O7 | κmin?=?1.52 | HfP2O7 | κmin?=?0.99 | ||
| ZrP2O7 | κmin?=?1.15 | κ?=?0.5～2 | β-Yb2Si2O7 | κmin?=?1.18 | κ1273K?=?2.1 |
| AlPO4 | κmin?=?1.2 | GaPO4 | κmin?=?0.88 | ||
| GdPO4 | κ1000K?=?0.98 | κ1000K?=?1.68 | LaPO4 | κ1273K?=?1.31 | κ1273K?=?1.09 |
| La2SrAl2O7 | κ1273K?=?2.79 | κ1273K?=?2.49 | Gd2SrAl2O7 | κmin?=?2.22 | κ1273K?=?2.14 |
| La2Sn2O7 | κ1273K?=?1.61 | κ1273K?=?1.96 | Gd2Sn2O7 | κ1273K?=?1.76 | κ1273K?=?2.07 |
Table 1 Calculated and experimentally determined thermal conductivities (in W/m·K) of some promising TBC materials [3,7,9,12,23,[32], [33], [34],[39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57]].
| Compound | κcal | κexp | Compound | κcal | κexp |
|---|---|---|---|---|---|
| La2Zr2O7 | κmin?=?1.3 | κmin?=?1.5 | Gd2Zr2O7 | κmin?=?1.2 | κmin?=?1.3 |
| Al5BO9 | κmin?=?1.59 | Yb2SiO5 | κ1200K?=?0.74 | κ1200K?=?1.5 | |
| ZrSiO4 | κ1773K?=?1.75 κmin?=?1.54 | κ1773K?=?4 | HfSiO4 | κmin?=?1.24 | |
| SrZrO3 | κmin?=?1.37 | κ1273K?=?2.08 | BaZrO3 | κmin?=?1.24 | κ1150K?=?3.42 |
| Y4Al2O9 | κ1150K?=?1.13 | κ1150K?=?1.95 | YbAlO3 | κmin?=?1.15 | |
| YAlO3 | κmin?=?1.61 | Y2SiO5 | κmin?=?1.13 | κ1200K?=?1.22 | |
| γ-Y2Si2O7 | κmin?=?1.35 | κ1400K?=?1.9 | Yb3Al5O12 | κ1200K?=?1.22 | κ1200K?=?2.16 |
| TiP2O7 | κmin?=?1.52 | HfP2O7 | κmin?=?0.99 | ||
| ZrP2O7 | κmin?=?1.15 | κ?=?0.5～2 | β-Yb2Si2O7 | κmin?=?1.18 | κ1273K?=?2.1 |
| AlPO4 | κmin?=?1.2 | GaPO4 | κmin?=?0.88 | ||
| GdPO4 | κ1000K?=?0.98 | κ1000K?=?1.68 | LaPO4 | κ1273K?=?1.31 | κ1273K?=?1.09 |
| La2SrAl2O7 | κ1273K?=?2.79 | κ1273K?=?2.49 | Gd2SrAl2O7 | κmin?=?2.22 | κ1273K?=?2.14 |
| La2Sn2O7 | κ1273K?=?1.61 | κ1273K?=?1.96 | Gd2Sn2O7 | κ1273K?=?1.76 | κ1273K?=?2.07 |
Fig. 3 Crystal structure of RE2T2O7 pyrochlore and its TO6 octahedron.
Fig. 3 Crystal structure of RE2T2O7 pyrochlore and its TO6 octahedron.
Table 2 Elastic constants and mechanical properties (GPa) of La2T2O7 (T=Ge, Ti, Sn, Zr and Hf) [9,10].
| c11 | c12 | c44 | B | G | E | Z | c12-c44 | G/B | |
|---|---|---|---|---|---|---|---|---|---|
| La2Ge2O7 | 315 | 143 | 111 | 200 | 100 | 258 | 1.29 | 32 | 0.5 |
| La2Ti2O7 | 314 | 141 | 107 | 199 | 99 | 253 | 1.24 | 34 | 0.497 |
| La2Sn2O7 | 299 | 136 | 106 | 190 | 95 | 245 | 1.29 | 30 | 0.5 |
| La2Zr2O7 | 289 | 124 | 100 | 179 | 93 | 237 | 1.21 | 24 | 0.520 |
| La2Hf2O7 | 286 | 126 | 94 | 180 | 88 | 228 | 1.18 | 32 | 0.489 |
Table 2 Elastic constants and mechanical properties (GPa) of La2T2O7 (T=Ge, Ti, Sn, Zr and Hf) [9,10].
| c11 | c12 | c44 | B | G | E | Z | c12-c44 | G/B | |
|---|---|---|---|---|---|---|---|---|---|
| La2Ge2O7 | 315 | 143 | 111 | 200 | 100 | 258 | 1.29 | 32 | 0.5 |
| La2Ti2O7 | 314 | 141 | 107 | 199 | 99 | 253 | 1.24 | 34 | 0.497 |
| La2Sn2O7 | 299 | 136 | 106 | 190 | 95 | 245 | 1.29 | 30 | 0.5 |
| La2Zr2O7 | 289 | 124 | 100 | 179 | 93 | 237 | 1.21 | 24 | 0.520 |
| La2Hf2O7 | 286 | 126 | 94 | 180 | 88 | 228 | 1.18 | 32 | 0.489 |
Fig. 4 Anisotropic Young’s moduli at (110) plane for La2T2O7 pyrochlore.
Fig. 4 Anisotropic Young’s moduli at (110) plane for La2T2O7 pyrochlore.
Fig. 5 (a) Calculated temperature dependent thermal conductivities of La2T2O7 pyrochlore, where κmin are from ref [10]; and (b) comparison of calculated and experimental values [6,55] of La2Zr2O7 and La2Sn2O7.
Fig. 5 (a) Calculated temperature dependent thermal conductivities of La2T2O7 pyrochlore, where κmin are from ref [10]; and (b) comparison of calculated and experimental values [6,55] of La2Zr2O7 and La2Sn2O7.
Fig. 6 Minimum thermal conductivities of polycrystalline La2T2O7 pyrochlore together with their minimum thermal conductivities along specific crystalline directions.
Fig. 6 Minimum thermal conductivities of polycrystalline La2T2O7 pyrochlore together with their minimum thermal conductivities along specific crystalline directions.
Table 3 Elastic constants and mechanical properties (GPa) of rare earth stannates and rare earth zirconates [26,55,63,64].
| c11 | c12 | c44 | B | G | E | Z | c12-c44 | G/B | |
|---|---|---|---|---|---|---|---|---|---|
| Rare earth stannates | |||||||||
| La2Sn2O7 | 297 | 125 | 97 | 182 | 93 | 238 | 1.13 | 28 | 0.508 |
| Nd2Sn2O7 | 314 | 124 | 94 | 187 | 94 | 242 | 0.99 | 30 | 0.504 |
| Sm2Sn2O7 | 317 | 123 | 95 | 188 | 96 | 246 | 0.98 | 28 | 0.51 |
| Gd2Sn2O7 | 301 | 115 | 99 | 177 | 97 | 245 | 1.06 | 16 | 0.546 |
| Er2Sn2O7 | 323 | 122 | 98 | 189 | 99 | 253 | 0.97 | 24 | 0.524 |
| Yb2Sn2O7 | 306 | 106 | 94 | 173 | 96 | 244 | 0.94 | 12 | 0.558 |
| Rare earth zirconates | |||||||||
| La2Zr2O7 | 282 | 122 | 92 | 176 | 87 | 224 | 1.15 | 30 | 0.494 |
| Pr2Zr2O7 | 273 | 96 | 114 | 155 | 103 | 253 | 1.29 | -18 | 0.665 |
| Nd2Zr2O7 | 243 | 69 | 47 | 127 | 60 | 156 | 0.54 | 22 | 0.472 |
| Sm2Zr2O7 | 328 | 132 | 101 | 197 | 100 | 257 | 1.03 | 31 | 0.508 |
| Eu2Zr2O7 | 281 | 83 | 51 | 149 | 67 | 175 | 0.52 | 32 | 0.45 |
| Gd2Zr2O7 | 277 | 110 | 52 | 165 | 63 | 168 | 0.62 | 58 | 0.382 |
Table 3 Elastic constants and mechanical properties (GPa) of rare earth stannates and rare earth zirconates [26,55,63,64].
| c11 | c12 | c44 | B | G | E | Z | c12-c44 | G/B | |
|---|---|---|---|---|---|---|---|---|---|
| Rare earth stannates | |||||||||
| La2Sn2O7 | 297 | 125 | 97 | 182 | 93 | 238 | 1.13 | 28 | 0.508 |
| Nd2Sn2O7 | 314 | 124 | 94 | 187 | 94 | 242 | 0.99 | 30 | 0.504 |
| Sm2Sn2O7 | 317 | 123 | 95 | 188 | 96 | 246 | 0.98 | 28 | 0.51 |
| Gd2Sn2O7 | 301 | 115 | 99 | 177 | 97 | 245 | 1.06 | 16 | 0.546 |
| Er2Sn2O7 | 323 | 122 | 98 | 189 | 99 | 253 | 0.97 | 24 | 0.524 |
| Yb2Sn2O7 | 306 | 106 | 94 | 173 | 96 | 244 | 0.94 | 12 | 0.558 |
| Rare earth zirconates | |||||||||
| La2Zr2O7 | 282 | 122 | 92 | 176 | 87 | 224 | 1.15 | 30 | 0.494 |
| Pr2Zr2O7 | 273 | 96 | 114 | 155 | 103 | 253 | 1.29 | -18 | 0.665 |
| Nd2Zr2O7 | 243 | 69 | 47 | 127 | 60 | 156 | 0.54 | 22 | 0.472 |
| Sm2Zr2O7 | 328 | 132 | 101 | 197 | 100 | 257 | 1.03 | 31 | 0.508 |
| Eu2Zr2O7 | 281 | 83 | 51 | 149 | 67 | 175 | 0.52 | 32 | 0.45 |
| Gd2Zr2O7 | 277 | 110 | 52 | 165 | 63 | 168 | 0.62 | 58 | 0.382 |
Fig. 7 Calculated and experimental temperature dependent thermal conductivities of (a) RE2Zr2O7 and (b) RE2Sn2O7 [26,40,55].
Fig. 7 Calculated and experimental temperature dependent thermal conductivities of (a) RE2Zr2O7 and (b) RE2Sn2O7 [26,40,55].
Fig. 8 Temperature dependent thermal conductivities of (a) (Sm1-xYbx)2Zr2O7 and (b) (La1-xYbx)2Zr2O7 [68,73].
Fig. 8 Temperature dependent thermal conductivities of (a) (Sm1-xYbx)2Zr2O7 and (b) (La1-xYbx)2Zr2O7 [68,73].
Fig. 9 Crystal structure of (a) RE4Al2O9, (b) REAlO3 and (c) RE3Al5O12, together with (d) structures of AlO4 and AlO6 units.
Fig. 9 Crystal structure of (a) RE4Al2O9, (b) REAlO3 and (c) RE3Al5O12, together with (d) structures of AlO4 and AlO6 units.
Table 4 Elastic constants and mechanical properties (GPa) of rare earth aluminum oxides.
| Y4Al2O9 [ | YAlO3 [ | Y3Al5O12 [ | Yb4Al2O9 [ | YbAlO3 [ | Yb3Al5O12 [ | |
|---|---|---|---|---|---|---|
| c11 | 251 | 396 | 348 | 199 | 265 | 294 |
| c22 | 225 | 310 | 348 | 195 | 330 | 294 |
| c33 | 222 | 367 | 348 | 192 | 352 | 294 |
| c44 | 74 | 174 | 116 | 55 | 122 | 97 |
| c55 | 71 | 152 | 116 | 56 | 84 | 97 |
| c66 | 89 | 110 | 116 | 67 | 141 | 97 |
| c12 | 79 | 133 | 116 | 74 | 145 | 108 |
| c13 | 82 | 153 | 116 | 78 | 133 | 108 |
| c23 | 88 | 139 | 116 | 80 | 162 | 108 |
| c15 | 11 | 8 | ||||
| c25 | 10 | 3 | ||||
| c35 | 4 | 8 | ||||
| c46 | -0.5 | -0.9 | ||||
| B | 132 | 213 | 193 | 116 | 201 | 163 |
| G | 76 | 127 | 116 | 59 | 100 | 104 |
| E | 191 | 318 | 290 | 151 | 257 | 257 |
| ν | 0.26 | 0.25 | 0.25 | 0.28 | 0.287 | 0.24 |
| G/B | 0.576 | 0.596 | 0.601 | 0.508 | 0.496 | 0.64 |
Table 4 Elastic constants and mechanical properties (GPa) of rare earth aluminum oxides.
| Y4Al2O9 [ | YAlO3 [ | Y3Al5O12 [ | Yb4Al2O9 [ | YbAlO3 [ | Yb3Al5O12 [ | |
|---|---|---|---|---|---|---|
| c11 | 251 | 396 | 348 | 199 | 265 | 294 |
| c22 | 225 | 310 | 348 | 195 | 330 | 294 |
| c33 | 222 | 367 | 348 | 192 | 352 | 294 |
| c44 | 74 | 174 | 116 | 55 | 122 | 97 |
| c55 | 71 | 152 | 116 | 56 | 84 | 97 |
| c66 | 89 | 110 | 116 | 67 | 141 | 97 |
| c12 | 79 | 133 | 116 | 74 | 145 | 108 |
| c13 | 82 | 153 | 116 | 78 | 133 | 108 |
| c23 | 88 | 139 | 116 | 80 | 162 | 108 |
| c15 | 11 | 8 | ||||
| c25 | 10 | 3 | ||||
| c35 | 4 | 8 | ||||
| c46 | -0.5 | -0.9 | ||||
| B | 132 | 213 | 193 | 116 | 201 | 163 |
| G | 76 | 127 | 116 | 59 | 100 | 104 |
| E | 191 | 318 | 290 | 151 | 257 | 257 |
| ν | 0.26 | 0.25 | 0.25 | 0.28 | 0.287 | 0.24 |
| G/B | 0.576 | 0.596 | 0.601 | 0.508 | 0.496 | 0.64 |
Fig. 10 Surface contours of direction dependent Young’s moduli of (a) Y4Al2O9, (b) YAlO3, (c) Y3Al5O12, (d) Yb4Al2O9, (e) YbAlO3 and (f) Yb3Al5O12.
Fig. 10 Surface contours of direction dependent Young’s moduli of (a) Y4Al2O9, (b) YAlO3, (c) Y3Al5O12, (d) Yb4Al2O9, (e) YbAlO3 and (f) Yb3Al5O12.
Fig. 11 Temperature dependent thermal conductivities of (a) Y4Al2O9, YAlO3 and Y3Al5O12 and (b) Yb4Al2O9, YbAlO3 and Yb3Al5O12, together with available experimental values [[46], [47], [48],50,79,80,85,86].
Fig. 11 Temperature dependent thermal conductivities of (a) Y4Al2O9, YAlO3 and Y3Al5O12 and (b) Yb4Al2O9, YbAlO3 and Yb3Al5O12, together with available experimental values [[46], [47], [48],50,79,80,85,86].
Fig. 12 Minimum thermal conductivities of polycrystalline and those along specific crystalline directions of (a) yttrium aluminum oxides and (b) ytterbium aluminum oxides.
Fig. 12 Minimum thermal conductivities of polycrystalline and those along specific crystalline directions of (a) yttrium aluminum oxides and (b) ytterbium aluminum oxides.
Fig. 13 Crystal structure of (a) cubic perovskite ABO3 and (b) structure of BO6 octahedra.
Fig. 13 Crystal structure of (a) cubic perovskite ABO3 and (b) structure of BO6 octahedra.
Table 5 Elastic constants, mechanical properties (GPa) and thermal conductivity (W/m·K) of cubic perovskite oxides [57].
| Constants | SrTiO3 | SrZrO3 | SrHfO3 | BaTiO3 | BaZrO3 | BaHfO3 |
|---|---|---|---|---|---|---|
| c11 | 346.1 | 340.2 | 399.6 | 315.8 | 299.7 | 379.6 |
| c12 | 101.3 | 75.5 | 59.9 | 109.5 | 61.1 | 69.7 |
| c44 | 114.4 | 74.3 | 61.3 | 127.0 | 86.9 | 72.4 |
| B | 183.0 | 163.7 | 173.6 | 178.1 | 140.6 | 173.0 |
| G | 117.5 | 93.8 | 92.7 | 116.9 | 98.7 | 98.8 |
| E | 290.4 | 236.2 | 236.2 | 287.8 | 239.9 | 248.9 |
| ν | 0.24 | 0.26 | 0.27 | 0.23 | 0.22 | 0.26 |
| Z | 0.93 | 0.56 | 0.36 | 1.23 | 0.72 | 0.46 |
| HV | 16.35. | 11.85 | 10.59 | 16.81 | 16.40 | 12.24 |
| G/B | 0.642 | 0.573 | 0.534 | 0.656 | 0.702 | 0.571 |
| κmin | 1.74 | 1.37 | 1.15 | 1.52 | 1.24 | 1.09 |
Table 5 Elastic constants, mechanical properties (GPa) and thermal conductivity (W/m·K) of cubic perovskite oxides [57].
| Constants | SrTiO3 | SrZrO3 | SrHfO3 | BaTiO3 | BaZrO3 | BaHfO3 |
|---|---|---|---|---|---|---|
| c11 | 346.1 | 340.2 | 399.6 | 315.8 | 299.7 | 379.6 |
| c12 | 101.3 | 75.5 | 59.9 | 109.5 | 61.1 | 69.7 |
| c44 | 114.4 | 74.3 | 61.3 | 127.0 | 86.9 | 72.4 |
| B | 183.0 | 163.7 | 173.6 | 178.1 | 140.6 | 173.0 |
| G | 117.5 | 93.8 | 92.7 | 116.9 | 98.7 | 98.8 |
| E | 290.4 | 236.2 | 236.2 | 287.8 | 239.9 | 248.9 |
| ν | 0.24 | 0.26 | 0.27 | 0.23 | 0.22 | 0.26 |
| Z | 0.93 | 0.56 | 0.36 | 1.23 | 0.72 | 0.46 |
| HV | 16.35. | 11.85 | 10.59 | 16.81 | 16.40 | 12.24 |
| G/B | 0.642 | 0.573 | 0.534 | 0.656 | 0.702 | 0.571 |
| κmin | 1.74 | 1.37 | 1.15 | 1.52 | 1.24 | 1.09 |
Fig. 14 Theoretical Young’s modulus and thermal conductivity of perovskites as the function of the electronegativity discrepancy between ‘A’ and ‘B’ site atoms in perovskites [57].
Fig. 14 Theoretical Young’s modulus and thermal conductivity of perovskites as the function of the electronegativity discrepancy between ‘A’ and ‘B’ site atoms in perovskites [57].
Fig. 15 Crystal structure of (a) α-MPO4, (b) β-MPO4 and (c) AlO4 units.
Fig. 15 Crystal structure of (a) α-MPO4, (b) β-MPO4 and (c) AlO4 units.
Table 6 Elastic constants and mechanical properties (in GPa) of α-?and β-MPO4 (M=Al, Ga) [23].
| α-AlPO4 | α-GaPO4 | β-AlPO4 | β-GaPO4 | |
|---|---|---|---|---|
| c11 | 70.9 | 79.8 | 170.9 | 149.3 |
| c33 | 81.2 | 106.3 | 179.6 | 165.9 |
| c44 | 45.7 | 39.9 | 33.8 | 49.9 |
| c66 | 31.6 | 31.6 | 44.7 | 32.7 |
| c12 | 7.7 | 16.6 | 81.4 | 83.8 |
| c13 | 9.9 | 30.6 | 110.4 | 109.9 |
| c14 | 11.3 | -3.2 | ||
| B | 30.8 | 45.8 | 126.2 | 117.5 |
| G | 36.8 | 34.3 | 48.2 | 35.2 |
| E | 77.4 | 82.4 | 128.2 | 96 |
| ν | 0.08 | 0.20 | 0.33 | 0.36 |
| G/B | 1.16 | 0.75 | 0.38 | 0.30 |
Table 6 Elastic constants and mechanical properties (in GPa) of α-?and β-MPO4 (M=Al, Ga) [23].
| α-AlPO4 | α-GaPO4 | β-AlPO4 | β-GaPO4 | |
|---|---|---|---|---|
| c11 | 70.9 | 79.8 | 170.9 | 149.3 |
| c33 | 81.2 | 106.3 | 179.6 | 165.9 |
| c44 | 45.7 | 39.9 | 33.8 | 49.9 |
| c66 | 31.6 | 31.6 | 44.7 | 32.7 |
| c12 | 7.7 | 16.6 | 81.4 | 83.8 |
| c13 | 9.9 | 30.6 | 110.4 | 109.9 |
| c14 | 11.3 | -3.2 | ||
| B | 30.8 | 45.8 | 126.2 | 117.5 |
| G | 36.8 | 34.3 | 48.2 | 35.2 |
| E | 77.4 | 82.4 | 128.2 | 96 |
| ν | 0.08 | 0.20 | 0.33 | 0.36 |
| G/B | 1.16 | 0.75 | 0.38 | 0.30 |
Fig. 16 Surface contours of direction dependent Young’s moduli of (a) α-AlPO4, (b) α-GaPO4, (c) β-AlPO4 and (d) β-GaPO4.
Fig. 16 Surface contours of direction dependent Young’s moduli of (a) α-AlPO4, (b) α-GaPO4, (c) β-AlPO4 and (d) β-GaPO4.
Fig. 17 (a) Temperature dependent thermal conductivities of α-?and β-MPO4 (M = Al, Ga); (b) their minimum thermal conductivities of polycrystalline together with minimum thermal conductivities along specific crystalline directions.
Fig. 17 (a) Temperature dependent thermal conductivities of α-?and β-MPO4 (M = Al, Ga); (b) their minimum thermal conductivities of polycrystalline together with minimum thermal conductivities along specific crystalline directions.
Table 7 Elastic constants, mechanical properties (GPa) and thermal conductivity (W/m·K) of MP2O7 (M=Ti, Zr and Hf) and Mg2Al4Si5O18 [49,51,98].
| TiP2O7 | ZrP2O7 | HfP2O7 | α-Mg2Al4Si5O18 | β-Mg2Al4Si5O18 | |
|---|---|---|---|---|---|
| c11 | 301 | 250 | 255 | 232 | 220 |
| c22 | 301 | 250 | 255 | 232 | 214 |
| c33 | 301 | 250 | 255 | 200 | 190 |
| c44 | 77 | 48 | 45 | 54 | 54 |
| c55 | 77 | 48 | 45 | 54 | 48 |
| c66 | 77 | 48 | 45 | 65 | 64 |
| c12 | 100 | 95 | 89 | 103 | 102 |
| c13 | 100 | 95 | 89 | 103 | 97 |
| c23 | 100 | 95 | 89 | 103 | 100 |
| B | 167 | 146 | 144 | 142 | 136 |
| G | 85 | 58 | 58 | 58 | 55 |
| E | 219 | 154 | 153 | 154 | 144 |
| ν | 0.32 | 0.27 | 0.28 | 0.32 | 0.32 |
| G/B | 0.51 | 0.40 | 0.40 | 0.409 | 0.402 |
| κmin | 1.52 | 1.15 | 0.99 | 1.33 | 1.29 |
Table 7 Elastic constants, mechanical properties (GPa) and thermal conductivity (W/m·K) of MP2O7 (M=Ti, Zr and Hf) and Mg2Al4Si5O18 [49,51,98].
| TiP2O7 | ZrP2O7 | HfP2O7 | α-Mg2Al4Si5O18 | β-Mg2Al4Si5O18 | |
|---|---|---|---|---|---|
| c11 | 301 | 250 | 255 | 232 | 220 |
| c22 | 301 | 250 | 255 | 232 | 214 |
| c33 | 301 | 250 | 255 | 200 | 190 |
| c44 | 77 | 48 | 45 | 54 | 54 |
| c55 | 77 | 48 | 45 | 54 | 48 |
| c66 | 77 | 48 | 45 | 65 | 64 |
| c12 | 100 | 95 | 89 | 103 | 102 |
| c13 | 100 | 95 | 89 | 103 | 97 |
| c23 | 100 | 95 | 89 | 103 | 100 |
| B | 167 | 146 | 144 | 142 | 136 |
| G | 85 | 58 | 58 | 58 | 55 |
| E | 219 | 154 | 153 | 154 | 144 |
| ν | 0.32 | 0.27 | 0.28 | 0.32 | 0.32 |
| G/B | 0.51 | 0.40 | 0.40 | 0.409 | 0.402 |
| κmin | 1.52 | 1.15 | 0.99 | 1.33 | 1.29 |
Fig. 18 Crystal structures of (a) γ-RE2Si2O7, (b) β-RE2Si2O7, (c) X2-RE2SiO5 and (d) Si(O/N)4 units.
Fig. 18 Crystal structures of (a) γ-RE2Si2O7, (b) β-RE2Si2O7, (c) X2-RE2SiO5 and (d) Si(O/N)4 units.
Table 8 Elastic constants and mechanical properties (in GPa) of RE2SiO5 (RE=Tb, Dy, Ho, Er, Tm, Yb, Lu, and Y) [107], γ-Y2Si2O7 and β-RE2Si2O7 (RE=Yb, Lu and Y) [108].
| Tb2SiO5 | Dy2SiO5 | Ho2SiO5 | Er2SiO5 | Tm2SiO5 | Yb2SiO5 | Lu2SiO5 | Y2SiO5 | γ-Y2Si2O7 | β-Y2Si2O7 | β-Yb2Si2O7 | β-Lu2Si2O7 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| c11 | 211 | 215 | 220 | 225 | 225 | 223 | 240 | 224 | 196 | 303 | 263 | 298 |
| c22 | 169 | 179 | 190 | 201 | 214 | 185 | 221 | 208 | 287 | 203 | 197 | 215 |
| c33 | 181 | 184 | 185 | 188 | 179 | 202 | 194 | 154 | 225 | 203 | 198 | 210 |
| c44 | 43 | 45 | 47 | 49 | 52 | 46 | 52 | 47 | 63 | 70 | 71 | 77 |
| c55 | 75 | 76 | 76 | 77 | 72 | 83 | 81 | 64 | 98 | 103 | 97 | 107 |
| c66 | 57 | 62 | 63 | 65 | 67 | 62 | 71 | 65 | 90 | 71 | 67 | 74 |
| c12 | 51 | 54 | 58 | 61 | 66 | 55 | 67 | 92 | 126 | 116 | 109 | 119 |
| c13 | 80 | 81 | 83 | 84 | 78 | 102 | 86 | 55 | 110 | 129 | 122 | 135 |
| c15 | 17 | 16 | 15 | 14 | 8 | 16 | 9 | 5 | -7 | -24 | -12 | -24 |
| c23 | 37 | 40 | 44 | 47 | 49 | 49 | 49 | 29 | 99 | 108 | 108 | 118 |
| c25 | -16 | -16 | -30 | -17 | -20 | -18 | -20 | 0 | -16 | 45 | 46 | 42 |
| c35 | -18 | -20 | -24 | -26 | -20 | -21 | -35 | 0 | 38 | -8 | -2 | -9 |
| c46 | 10 | 10 | 11 | 11 | 10 | 15 | 11 | 10 | -33 | 31 | 27 | 28 |
| B | 98 | 101 | 104 | 109 | 110 | 111.5 | 114.5 | 100.5 | 151 | 153 | 145 | 160 |
| G | 58 | 60.5 | 61.5 | 63 | 64.5 | 62 | 67.5 | 60.5 | 68 | 65 | 62 | 68 |
| E | 146 | 152 | 153 | 159 | 161 | 158 | 169 | 152 | 177 | 170 | 162 | 178 |
| ν | 0.251 | 0.205 | 0.254 | 0.256 | 0.255 | 0.264 | 0.253 | 0.248 | 0.304 | 0.314 | 0.313 | 0.314 |
| G/B | 0.592 | 0.599 | 0.591 | 0.578 | 0.586 | 0.556 | 0.590 | 0.602 | 0.450 | 0.425 | 0.428 | 0.425 |
Table 8 Elastic constants and mechanical properties (in GPa) of RE2SiO5 (RE=Tb, Dy, Ho, Er, Tm, Yb, Lu, and Y) [107], γ-Y2Si2O7 and β-RE2Si2O7 (RE=Yb, Lu and Y) [108].
| Tb2SiO5 | Dy2SiO5 | Ho2SiO5 | Er2SiO5 | Tm2SiO5 | Yb2SiO5 | Lu2SiO5 | Y2SiO5 | γ-Y2Si2O7 | β-Y2Si2O7 | β-Yb2Si2O7 | β-Lu2Si2O7 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| c11 | 211 | 215 | 220 | 225 | 225 | 223 | 240 | 224 | 196 | 303 | 263 | 298 |
| c22 | 169 | 179 | 190 | 201 | 214 | 185 | 221 | 208 | 287 | 203 | 197 | 215 |
| c33 | 181 | 184 | 185 | 188 | 179 | 202 | 194 | 154 | 225 | 203 | 198 | 210 |
| c44 | 43 | 45 | 47 | 49 | 52 | 46 | 52 | 47 | 63 | 70 | 71 | 77 |
| c55 | 75 | 76 | 76 | 77 | 72 | 83 | 81 | 64 | 98 | 103 | 97 | 107 |
| c66 | 57 | 62 | 63 | 65 | 67 | 62 | 71 | 65 | 90 | 71 | 67 | 74 |
| c12 | 51 | 54 | 58 | 61 | 66 | 55 | 67 | 92 | 126 | 116 | 109 | 119 |
| c13 | 80 | 81 | 83 | 84 | 78 | 102 | 86 | 55 | 110 | 129 | 122 | 135 |
| c15 | 17 | 16 | 15 | 14 | 8 | 16 | 9 | 5 | -7 | -24 | -12 | -24 |
| c23 | 37 | 40 | 44 | 47 | 49 | 49 | 49 | 29 | 99 | 108 | 108 | 118 |
| c25 | -16 | -16 | -30 | -17 | -20 | -18 | -20 | 0 | -16 | 45 | 46 | 42 |
| c35 | -18 | -20 | -24 | -26 | -20 | -21 | -35 | 0 | 38 | -8 | -2 | -9 |
| c46 | 10 | 10 | 11 | 11 | 10 | 15 | 11 | 10 | -33 | 31 | 27 | 28 |
| B | 98 | 101 | 104 | 109 | 110 | 111.5 | 114.5 | 100.5 | 151 | 153 | 145 | 160 |
| G | 58 | 60.5 | 61.5 | 63 | 64.5 | 62 | 67.5 | 60.5 | 68 | 65 | 62 | 68 |
| E | 146 | 152 | 153 | 159 | 161 | 158 | 169 | 152 | 177 | 170 | 162 | 178 |
| ν | 0.251 | 0.205 | 0.254 | 0.256 | 0.255 | 0.264 | 0.253 | 0.248 | 0.304 | 0.314 | 0.313 | 0.314 |
| G/B | 0.592 | 0.599 | 0.591 | 0.578 | 0.586 | 0.556 | 0.590 | 0.602 | 0.450 | 0.425 | 0.428 | 0.425 |
Fig. 19 Calculated temperature dependent thermal conductivities of (a) RE2SiO5 (RE=Tb, Dy, Ho, and Er), (b) RE2Si2O5 (RE=Tm, Yb, Lu, and Y), (c) γ-Y2Si2O7, β-Y2Si2O7, β-Yb2Si2O7, and β-Lu2Si2O7; together with (d) the minimum thermal conductivities of polycrystalline and those along specific crystalline directions for RE2Si2O7 [107,108].
Fig. 19 Calculated temperature dependent thermal conductivities of (a) RE2SiO5 (RE=Tb, Dy, Ho, and Er), (b) RE2Si2O5 (RE=Tm, Yb, Lu, and Y), (c) γ-Y2Si2O7, β-Y2Si2O7, β-Yb2Si2O7, and β-Lu2Si2O7; together with (d) the minimum thermal conductivities of polycrystalline and those along specific crystalline directions for RE2Si2O7 [107,108].
Fig. 20 Crystal structures of (a) YSiO2N, (b) Y2Si3O3N4, (c) Y5Si3O12N, (d) Y4Si2O7N2, (e) Y3Si5N9O, (f) Si(O/N)4 units.
Fig. 20 Crystal structures of (a) YSiO2N, (b) Y2Si3O3N4, (c) Y5Si3O12N, (d) Y4Si2O7N2, (e) Y3Si5N9O, (f) Si(O/N)4 units.
Table 9 Elastic constants and mechanical properties (in GPa) of Y5Si3O12N, Y4Si2O7N2, YSiO2N,Y2Si3O3N4 and Y3Si5N9O [112].
| Y5Si3O12N | Y4Si2O7N2 | YSiO2N | Y2Si3O3N4 | Y3Si5N9O | |
|---|---|---|---|---|---|
| c11 | 240 | 267 | 199 | 314 | 319 |
| c22 | 329 | 266 | 199 | 327 | 363 |
| c33 | 256 | 194 | 293 | 276 | 344 |
| c44 | 75 | 81 | 114 | 75 | 111 |
| c55 | 84 | 71 | 114 | 92 | 118 |
| c66 | 72 | 79 | 65 | 125 | 107 |
| c12 | 120 | 106 | 69 | 131 | 90 |
| c13 | 93 | 86 | 133 | 102 | 116 |
| c23 | 114 | 95 | 133 | 94 | 119 |
| B | 142 | 162 | 142 | 173 | 186 |
| G | 75 | 79 | 77 | 96 | 114 |
| E | 191 | 204 | 196 | 244 | 284 |
| ν | 0.275 | 0.290 | 0.271 | 0.265 | 0.245 |
| G/B | 0.528 | 0.488 | 0.542 | 0.555 | 0.613 |
Table 9 Elastic constants and mechanical properties (in GPa) of Y5Si3O12N, Y4Si2O7N2, YSiO2N,Y2Si3O3N4 and Y3Si5N9O [112].
| Y5Si3O12N | Y4Si2O7N2 | YSiO2N | Y2Si3O3N4 | Y3Si5N9O | |
|---|---|---|---|---|---|
| c11 | 240 | 267 | 199 | 314 | 319 |
| c22 | 329 | 266 | 199 | 327 | 363 |
| c33 | 256 | 194 | 293 | 276 | 344 |
| c44 | 75 | 81 | 114 | 75 | 111 |
| c55 | 84 | 71 | 114 | 92 | 118 |
| c66 | 72 | 79 | 65 | 125 | 107 |
| c12 | 120 | 106 | 69 | 131 | 90 |
| c13 | 93 | 86 | 133 | 102 | 116 |
| c23 | 114 | 95 | 133 | 94 | 119 |
| B | 142 | 162 | 142 | 173 | 186 |
| G | 75 | 79 | 77 | 96 | 114 |
| E | 191 | 204 | 196 | 244 | 284 |
| ν | 0.275 | 0.290 | 0.271 | 0.265 | 0.245 |
| G/B | 0.528 | 0.488 | 0.542 | 0.555 | 0.613 |
Fig. 21 (a) Calculated temperature dependent thermal conductivities of five quaternary oxynitrides [112] and experimental values of Y4Si2O7N2 [111]; (b) Minimum thermal conductivities of polycrystalline quaternary oxynitrides together with their minimum thermal conductivities along specific crystalline directions.
Fig. 21 (a) Calculated temperature dependent thermal conductivities of five quaternary oxynitrides [112] and experimental values of Y4Si2O7N2 [111]; (b) Minimum thermal conductivities of polycrystalline quaternary oxynitrides together with their minimum thermal conductivities along specific crystalline directions.
Fig. 22 Comparison of the minimum thermal conductivities between polycrystalline values and decreased values along specific orientation.
Fig. 22 Comparison of the minimum thermal conductivities between polycrystalline values and decreased values along specific orientation.
|
| No related articles found! |
| 阅读次数 | ||||||
|
全文 |
|
|||||
|
摘要 |
|
|||||