J. Mater. Sci. Technol. ›› 2016, Vol. 32 ›› Issue (12): 1386-.DOI: 10.1016/j.jmst.2016.09.023
Special Issue: 2016-2017材料模拟与计算专辑
• Orginal Article • Previous Articles
Wang Yanxin,Wang Shuming*(),Ye Qing,Yan Qingzhi,Ge Changchun
Online:
2016-12-20
Published:
2017-02-16
Contact:
Wang Shuming
Wang Yanxin,Wang Shuming,Ye Qing,Yan Qingzhi,Ge Changchun. A Simulation Study on the Thermal Shock Behavior of Tungsten Mock-Up under Steady-State Heat Loads[J]. J. Mater. Sci. Technol., 2016, 32(12): 1386-.
Material | Temperature (°C) | Thermal conductivity (W m-1 K-1) | Coefficient of thermal expansion (10-6 K-1) | Young's modulus (GPa) | Poisson's ratio | Yield strength (MPa) | Tangent modulus (GPa) |
---|---|---|---|---|---|---|---|
W | 20 | 173 | 4.5 | 398 | 0.28 | 1360 | 1.3 |
200 | 156 | — | 396 | — | 1154 | — | |
500 | 133 | 4.7 | 390 | — | 854 | 1 | |
800 | 118 | — | 379 | 0.29 | 604 | — | |
1000 | 111 | 5.1 | 368 | — | 465 | 0.8 | |
1500 | 101 | 5.6 | 333 | 0.30 | 204 | — | |
1800 | 99 | 5.8 | 306 | — | 103 | — | |
OFHC | 20 | 403 | 16.7 | 125 | 0.34 | 69 | 1.5 |
200 | 392 | 17.2 | 115 | 60 | 1.3 | ||
400 | 379 | 17.8 | 100 | 48 | 0.9 | ||
700 | 360 | 18.9 | 70 | 30 | 0.6 | ||
CuCrZr | 20 | 326 | 16.7 | 128 | 0.32 | 293 | 0.9 |
250 | 343 | 17.2 | 118 | 0.42 | 257 | 0.7 | |
500 | 348 | 18.2 | 103 | 0.52 | 195 | 0.6 |
Table 1. Thermal physical properties of the considered materials at selected temperatures
Material | Temperature (°C) | Thermal conductivity (W m-1 K-1) | Coefficient of thermal expansion (10-6 K-1) | Young's modulus (GPa) | Poisson's ratio | Yield strength (MPa) | Tangent modulus (GPa) |
---|---|---|---|---|---|---|---|
W | 20 | 173 | 4.5 | 398 | 0.28 | 1360 | 1.3 |
200 | 156 | — | 396 | — | 1154 | — | |
500 | 133 | 4.7 | 390 | — | 854 | 1 | |
800 | 118 | — | 379 | 0.29 | 604 | — | |
1000 | 111 | 5.1 | 368 | — | 465 | 0.8 | |
1500 | 101 | 5.6 | 333 | 0.30 | 204 | — | |
1800 | 99 | 5.8 | 306 | — | 103 | — | |
OFHC | 20 | 403 | 16.7 | 125 | 0.34 | 69 | 1.5 |
200 | 392 | 17.2 | 115 | 60 | 1.3 | ||
400 | 379 | 17.8 | 100 | 48 | 0.9 | ||
700 | 360 | 18.9 | 70 | 30 | 0.6 | ||
CuCrZr | 20 | 326 | 16.7 | 128 | 0.32 | 293 | 0.9 |
250 | 343 | 17.2 | 118 | 0.42 | 257 | 0.7 | |
500 | 348 | 18.2 | 103 | 0.52 | 195 | 0.6 |
Experiment number | Factor 1 | Factor 2 | Factor 3 | Factor 4 |
---|---|---|---|---|
1 | 1 | 1 | 1 | 1 |
2 | 1 | 2 | 2 | 2 |
3 | 1 | 3 | 3 | 3 |
4 | 2 | 1 | 2 | 3 |
5 | 2 | 2 | 3 | 1 |
6 | 2 | 3 | 1 | 2 |
7 | 3 | 1 | 3 | 2 |
8 | 3 | 2 | 1 | 3 |
9 | 3 | 3 | 2 | 1 |
Table 2. Orthogonal array L9(34) for four factors at three levels
Experiment number | Factor 1 | Factor 2 | Factor 3 | Factor 4 |
---|---|---|---|---|
1 | 1 | 1 | 1 | 1 |
2 | 1 | 2 | 2 | 2 |
3 | 1 | 3 | 3 | 3 |
4 | 2 | 1 | 2 | 3 |
5 | 2 | 2 | 3 | 1 |
6 | 2 | 3 | 1 | 2 |
7 | 3 | 1 | 3 | 2 |
8 | 3 | 2 | 1 | 3 |
9 | 3 | 3 | 2 | 1 |
Level | Factor ---------------------------------- | |||
---|---|---|---|---|
Q (MW/m2) | T (mm) | D (mm) | H (kW/(m2?K)) | |
1 | 5 | 5 | 8 | 50 |
2 | 8 | 8 | 10 | 80 |
3 | 10 | 10 | 12 | 100 |
Table 3. Factors and levels chart
Level | Factor ---------------------------------- | |||
---|---|---|---|---|
Q (MW/m2) | T (mm) | D (mm) | H (kW/(m2?K)) | |
1 | 5 | 5 | 8 | 50 |
2 | 8 | 8 | 10 | 80 |
3 | 10 | 10 | 12 | 100 |
Experiment number | Influence factor ---------------------------------- | |||
---|---|---|---|---|
Q (MW/m2) | T (mm) | D (mm) | H (kW/(m2?K)) | |
1 | 5 | 5 | 8 | 50 |
2 | 5 | 8 | 10 | 80 |
3 | 5 | 10 | 12 | 100 |
4 | 8 | 5 | 10 | 100 |
5 | 8 | 8 | 12 | 50 |
6 | 8 | 10 | 8 | 80 |
7 | 10 | 5 | 12 | 80 |
8 | 10 | 8 | 8 | 100 |
9 | 10 | 10 | 10 | 50 |
Table 4. Orthogonal experiment scheme
Experiment number | Influence factor ---------------------------------- | |||
---|---|---|---|---|
Q (MW/m2) | T (mm) | D (mm) | H (kW/(m2?K)) | |
1 | 5 | 5 | 8 | 50 |
2 | 5 | 8 | 10 | 80 |
3 | 5 | 10 | 12 | 100 |
4 | 8 | 5 | 10 | 100 |
5 | 8 | 8 | 12 | 50 |
6 | 8 | 10 | 8 | 80 |
7 | 10 | 5 | 12 | 80 |
8 | 10 | 8 | 8 | 100 |
9 | 10 | 10 | 10 | 50 |
Experiment number | Influence factor ---------------------------- | Experiment result | |||
---|---|---|---|---|---|
Q (MW/m2) | T (mm) | D (mm) | H (kW/(m2?K)) | Maximum temperature (°C) | |
1 | 5 | 5 | 8 | 50 | 522.11 |
2 | 5 | 8 | 10 | 80 | 584.31 |
3 | 5 | 10 | 12 | 100 | 631.40 |
4 | 8 | 5 | 10 | 100 | 686.72 |
5 | 8 | 8 | 12 | 50 | 931.30 |
6 | 8 | 10 | 8 | 80 | 1089.53 |
7 | 10 | 5 | 12 | 80 | 831.38 |
8 | 10 | 8 | 8 | 100 | 1160.82 |
9 | 10 | 10 | 10 | 50 | 1398.54 |
Table 5. Calculation results of nine experiments
Experiment number | Influence factor ---------------------------- | Experiment result | |||
---|---|---|---|---|---|
Q (MW/m2) | T (mm) | D (mm) | H (kW/(m2?K)) | Maximum temperature (°C) | |
1 | 5 | 5 | 8 | 50 | 522.11 |
2 | 5 | 8 | 10 | 80 | 584.31 |
3 | 5 | 10 | 12 | 100 | 631.40 |
4 | 8 | 5 | 10 | 100 | 686.72 |
5 | 8 | 8 | 12 | 50 | 931.30 |
6 | 8 | 10 | 8 | 80 | 1089.53 |
7 | 10 | 5 | 12 | 80 | 831.38 |
8 | 10 | 8 | 8 | 100 | 1160.82 |
9 | 10 | 10 | 10 | 50 | 1398.54 |
Experiment index ------------------------- | Influence factor ------------------------------- | ||||
---|---|---|---|---|---|
Q (MW/m2) | T (mm) | D (mm) | H (kW/(m2?K)) | ||
Maximum temperature (°C) | K1 | 1737.82 | 2040.21 | 2772.46 | 2851.95 |
K2 | 2707.55 | 2676.43 | 2669.57 | 2505.22 | |
K3 | 3390.74 | 3119.47 | 2394.08 | 2478.94 | |
k1 | 579.27 | 680.07 | 924.15 | 950.65 | |
k2 | 902.52 | 892.14 | 889.86 | 835.07 | |
k3 | 1130.25 | 1039.82 | 798.03 | 826.31 | |
Range (R) | 550.98 | 359.75 | 126.12 | 124.34 |
Table 6. Results of range analysis
Experiment index ------------------------- | Influence factor ------------------------------- | ||||
---|---|---|---|---|---|
Q (MW/m2) | T (mm) | D (mm) | H (kW/(m2?K)) | ||
Maximum temperature (°C) | K1 | 1737.82 | 2040.21 | 2772.46 | 2851.95 |
K2 | 2707.55 | 2676.43 | 2669.57 | 2505.22 | |
K3 | 3390.74 | 3119.47 | 2394.08 | 2478.94 | |
k1 | 579.27 | 680.07 | 924.15 | 950.65 | |
k2 | 902.52 | 892.14 | 889.86 | 835.07 | |
k3 | 1130.25 | 1039.82 | 798.03 | 826.31 | |
Range (R) | 550.98 | 359.75 | 126.12 | 124.34 |
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