Skip to main content
Log in

Simulation of a stress-strain state in thin structured gallium nitride films on sapphire substrates

  • Mechanical Properties, Physics of Strength, and Plasticity
  • Published:
Physics of the Solid State Aims and scope Submit manuscript


The stress-strain state in thin structured gallium nitride films on sapphire substrates containing open pores has been simulated. The results have been obtained by the finite element method in the commercial program complex. The stress intensity factor K I has been calculated for the model considering a crack at the GaN/sapphire interface near an open pore. Based on the calculations of elastic fields, the redistribution of stresses by a structure with an ordered array of open pores in gallium nitride films has been estimated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others


  1. J.-M. Bethoux, P. Vennegues, F. Natali, E. Feltin, O. Tot- tereau, G. Nataf, P. DeMierry, and F. Semond, J. Appl. Phys. 94, 6499 (2003).

    Article  ADS  Google Scholar 

  2. Y.-S. Chen, W.-Y. Shiao, T.-Y. Tang, W.-M. Chang, C.-H. Liao, C.-H. Lin, K.-C. Shen, C. C. Yang, M.-C. Hsu, J.-H. Yeh, and T.-C. Hsu, J. Appl. Phys. 106, 023521 (2009).

    Article  ADS  Google Scholar 

  3. T. Gehrke, J. Nanophotonics 2, 021990 (2008).

    Article  Google Scholar 

  4. D.-S. Wuu, H.-W. Wu, S.-T. Chen, T.-Y. Tsai, X. Zheng, and R.-H. Horng, J. Cryst. Growth 311, 3063 (2009).

    Article  ADS  Google Scholar 

  5. M. Ali, A. E. Romanov, S. Suihkonen, O. Svensk, P. T. Torma, M. Sopanen, H. Lipsanen, M. A. Odnoblyudov, and V. E. Bougrov, J. Cryst. Growth 315, 188 (2010).

    Article  ADS  Google Scholar 

  6. N. A. Bert, A. L. Kolesnikova, I. K. Korolev, A. E. Romanov, A. B. Freidin, V. V. Chaldyshev, and E. C. Aifantis, Phys. Solid State 53(10), 2091 (2011).

    Article  ADS  Google Scholar 

  7. F. Wright, J. Appl. Phys. 82, 2833 (1997).

    Article  ADS  Google Scholar 

  8. A. E. Romanov, T. J. Baker, S. Nakamura, and J. S. Speck, J. Appl. Phys. 100, 023522 (2006).

    Article  ADS  Google Scholar 

  9. W. Qian, M. Skowronski, and G. R. Rohrer, Mater. Res. Soc. Symp. Proc. 423, 475 (1996).

    Article  Google Scholar 

  10. A. Polian, M. Grimsditch, and I. Grzegory, J. Appl. Phys. 79, 3343 (1996).

    Article  ADS  Google Scholar 

  11. G. P. Cherepanov, Fracture Mechanics of Composite Materials (Nauka, Moscow, 1983) [in Russian].

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations


Corresponding author

Correspondence to I. N. Ivukin.

Additional information

Original Russian Text © I.N. Ivukin, D.M. Artem’ev, V.E. Bugrov, M.A. Odnoblyudov, A.E. Romanov, 2012, published in Fizika Tverdogo Tela, 2012, Vol. 54, No. 12, pp. 2294–2297.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ivukin, I.N., Artem’ev, D.M., Bugrov, V.E. et al. Simulation of a stress-strain state in thin structured gallium nitride films on sapphire substrates. Phys. Solid State 54, 2421–2424 (2012).

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: