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2D Transient Viscoplastic Model for Dislocation Generation of SiC by PVT Method

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Challenges in Mechanics of Time Dependent Materials, Volume 2

Abstract

SiC crystal grown by PVT method has attracted worldwide research attention and it has been successfully produced under various growth conditions, such as growth temperature, pressure, and growth chamber geometry. However, the dislocation multiplication in SiC crystal grown by PVT method are generated by excessed thermal stresses caused by the nonuniform temperature field in the SiC ingot. A 2 dimensional transient finite element model based on the Haasen-Sumino viscoplastic constitutive model (HAS) is developed to evaluate the dislocation densities generated in the SiC crystal grown by PVT method. The dislocation densities generated in the PVT process is the major parameter for the evaluation of final product. The result shows that the maximum dislocation density is about 1.8 × 107 m−2 when the temperature gradient equals −340/90,000 K/s, while it increases to 2.4 × 107 m−2 when the temperature gradient increases to −640/90,000 K/s.

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References

  1. Saddow, S.E., Agarwal, A.: Advances in Silicon Carbide Processing and Applications. Artech House (2004)

    Google Scholar 

  2. Gao, B., Kakimoto, K.: Dislocation-density-based modeling of the plastic behavior of 4H–SiC single crystals using the Alexander–Haasen model. J. Cryst. Growth 386, 215–219 (2014)

    Article  Google Scholar 

  3. Wijesundara, M., Azevedo, R.: Silicon Carbide Microsystems for Harsh Environments, vol. 22. Springer Science & Business Media (2011)

    Google Scholar 

  4. Böttcher, K., Cliffe, K.A.: Three-dimensional thermal stresses in on-axis grown sic crystals. J. Cryst. Growth 284(3), 425–433 (2005)

    Article  Google Scholar 

  5. Gao, B., Kakimoto, K.: Optimization of power control in the reduction of basal plane dislocations during PVT growth of 4H–SiC single crystals. J. Cryst. Growth 392, 92–97 (2014)

    Article  Google Scholar 

  6. Gao, B., Kakimoto, K.: Three-dimensional modeling of basal plane dislocations in 4H–SiC single crystals grown by the physical vapor transport method. Cryst. Growth Des. 14(3), 1272–1278 (2014)

    Article  Google Scholar 

  7. Dillon Jr., O., Tsai, C., De Angelis, R.: Dislocation dynamics during the growth of silicon ribbon. J. Appl. Phys. 60(5), 1784–1792 (1986)

    Google Scholar 

  8. Tsai, C., Dillon, O., De Angelis, R.: The constitutive equation for silicon and its use in crystal growth modeling. J. Eng. Mater. Technol. 112(2), 183–187 (1990)

    Google Scholar 

  9. Tsai, C., Yao, M., Chait, A.: Prediction of dislocation generation during bridgman growth of GaAs crystals. J. Cryst. Growth 125(1–2), 69–80 (1992)

    Article  Google Scholar 

  10. Tsai, C., Gulluoglu, A., Hartley, C.: A crystallographic methodology for modeling dislocation dynamics in GaAs crystals grown from melt. J. Appl. Phys. 73(4), 1650–1656 (1993)

    Article  Google Scholar 

  11. Sumino, K., Yonenaga, I.: Dislocation dynamics and mechanical behaviour of elemental and compound semiconductors. Phys. Status Solidi (A) 138(2), 573–581 (1993)

    Google Scholar 

  12. Yonenaga, I., Sumino, K.: Dislocation dynamics in the plastic deformation of silicon crystals I. Experiments. Phys. Status Solidi (A) 50(2), 685–693 (1978)

    Google Scholar 

  13. Suezawa, M., Sumino, K., Yonenaga, I.: Dislocation dynamics in the plastic deformation of silicon crystals. II. Theoretical analysis of experimental results. Physica Status Solidi (A) 51(1), 217–226 (1979)

    Google Scholar 

  14. Alexander, H., Haasen, P.: Dislocations and plastic flow in the diamond structure. Solid State Phys. 22, 27–158 (1969)

    Google Scholar 

  15. Haasen, P.: Zur plastischen verformung von germanium und insb. Zeitschrift für Physik 167(4), 461–467 (1962)

    Article  Google Scholar 

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Correspondence to Chi-Tay Tsai .

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Lin, M., Chen, Q., Kang, Y., Tsai, CT. (2017). 2D Transient Viscoplastic Model for Dislocation Generation of SiC by PVT Method. In: Antoun, B., et al. Challenges in Mechanics of Time Dependent Materials, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-41543-7_17

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  • DOI: https://doi.org/10.1007/978-3-319-41543-7_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-41542-0

  • Online ISBN: 978-3-319-41543-7

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