Author Affiliations
School of Energy and Power Engineering, Jiangsu University, Zhenjiang, Jiangsu 212013, Chinashow less
Fig. 1. Schematic of thin film system. (a) Sapphire-GaN heterogeneous film system; (b) force free body in specified interface
Fig. 2. Finite element model of sapphire-GaN heterogeneous film system
Fig. 3. Temperature distribution of sapphire-GaN heterogeneous film system after cooling for 1 min
Fig. 4. Warpage deformation of sapphire-GaN heterogeneous film system after cooling for 1 min
Fig. 5. von Mises stress distribution of sapphire-GaN heterogeneous film system after cooling for 1 min
Fig. 6. Interfacial stress distribution of different thicknesses of GaN films for cooling to 1073 K. (a) 2 inch substrate; (b) 4 inch substrate
Fig. 7. Variation of interfacial stress with the thickness of GaN film (ignore edges). (a) 2 inch substrate; (b) 4 inch substrate
Fig. 8. Interfacial stress distribution of different sapphire substrate thickness for cooling to 1073 K. (a) 2 inch substrate; (b) 4 inch substrate
Fig. 9. Variation of interfacial stress with ds/df. (a) 2 inch substrate; (b) 4 inch substrate
Fig. 10. Variation of the maximum warpage of film system with the thickness of GaN film. (a) 2 inch substrate; (b) 4 inch substrate
Fig. 11. Change of stress caused by lattice mismatch and thermal mismatch with cooling time
Material | Density /(kg·m-3) | Specific heat /(J·kg-1·K-1) | Thermalconductivity /(W·m-1·K-1) | Thermal expansioncoefficient /(10-6 K-1) | Young'smodulus /GPa | Possionratio |
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Sapphire | 3980 | 765 | 10.5 | 7.5 | 372 | 0.25 | GaN | 6100 | 355 | 175 | 5.6 | 210 | 0.17 |
|
Table 1. Physical properties of materials
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