Skip to main content

Thermoelastic buckling response of thick functionally graded plates

Abstract

The thermoelastic buckling behavior of a thick plate made of a functionally graded material is investigated in this paper by using an exponential shear deformation plate theory. A simple power law based on the rule of mixtures is used to estimate the effective material properties as functions of the plate thickness. The neutral surface position for such functionally graded plates is determined on the basis of the nonlinear strain-displacement relations. Uniform, linear, and nonlinear temperature distributions across the plate are considered. An analytical approach is presented to find the critical buckling temperature, which can be used in engineering calculations. A numerical solution of the problem with the use of an exponential dependence for shear strains is presented. The results obtained are compared with available data.

This is a preview of subscription content, access via your institution.

References

  1. R. Javaheri and M. R. Eslami, “Thermal Buckling of Functionally Graded Plates,” AIAA J. 40, 162–169 (2002).

    Article  ADS  Google Scholar 

  2. R. Javaheri and M. R. Eslami, “Thermal Buckling of Functionally Graded Plates Based on Higher Order Theory,” J. Therm. Stress. 25, 603–625 (2002).

    Article  Google Scholar 

  3. M. M. Najafizadeh and H. R. Heydaru, “Thermal Buckling of Functionally Graded Circular Plates Based on Higher Order Shear Deformation Plate Theory,” Eur. J. Mech. A. Solids 23, 1085–1100 (2004).

    Article  MATH  ADS  Google Scholar 

  4. W. Lanhe, “Thermal Buckling of a Simply Supported Moderately Thick Rectangular FGM Plate,” Compos. Struct. 64, 211–218 (2004).

    Article  ADS  Google Scholar 

  5. B. A. Samsam Shariat and M. R. Eslami, “Buckling of Thick Functionally Graded Plates under Mechanical and Thermal Loads,” Compos. Struct. 78, 433–439 (2007).

    Article  Google Scholar 

  6. H. H. Ibrahim, M. Tawfik, and M. Al-Ajmi, “Thermal Buckling and Nonlinear Flutter Behavior of Functionally Graded Material Panels,” J. Aircraft. 44, 1610–1618 (2007).

    Article  Google Scholar 

  7. K. J. Sohn and J. H. Kim, “Structural Stability of Functionally Graded Panels Subjected to Aero-Thermal Loads,” Compos. Struct. 82, 317–325 (2008).

    Article  Google Scholar 

  8. H. Matsunaga, “Thermal Buckling of Functionally Graded Plates According to a 2D Higher-Order Deformation Theory,” Compos. Struct. 90, 76–86 (2009).

    Article  Google Scholar 

  9. M. Bouazza, A. Tounsi, E. A. Adda-Bedia, and A. Megueni, “Thermoelastic Stability Analysis of Functionally Graded Plates: An Analytical Approach,” Comput. Mater. Sci. 49, 865–870 (2010).

    Article  Google Scholar 

  10. T. Morimoto, Y. Tanigawa, and R. Kawamura, “Thermal Buckling of Functionally Graded Rectangular Plates Subjected to Partial Heating,” Int. J. Mech. Sci. 48(9), 926–937 (2006).

    Article  MATH  Google Scholar 

  11. S. Abrate, “Functionally Graded Plates Behave Like Homogeneous Plates,” Composites, Pt. B: Eng. 39(1), 151–158 (2008).

    Article  Google Scholar 

  12. D. G. Zhang and Y. H. Zhou, “A Theoretical Analysis of FGM Thin Plates Based on Physical Neutral Surface,” Comput. Mater. Sci. 44, 716–720 (2008).

    Article  Google Scholar 

  13. A. R. Saidi and E. Jomehzadeh, “On Analytical Approach for the Bending/Stretching of Linearly Elastic Functionally Graded Rectangular Plates with Two Opposite Edges Simply Supported,” Proc. Inst. Mech. Eng. Pt. C: J. Mech. Eng. Sci. 223, 2009–2016 (2009).

    Article  Google Scholar 

  14. M. Bodaghi and A. R. Saidi, “Thermoelastic Buckling Behavior of Thick Functionally Graded Rectangular Plates,” Arch. Appl. Mech. 81, 1555–1572 (2011).

    Article  MATH  ADS  Google Scholar 

  15. Fundamentals of Functionally Graded Materials, Ed. by S. Suresh and A. Mortensen (IOM Comm. Ltd., London, 1998).

    Google Scholar 

  16. M. Karama, K. S. Afaq, and S. Mistou, “Mechanical Behaviour of Laminated Composite Beam by New Multi-Layered Laminated Composite Structures Model with Transverse Shear Stress Continuity,” Int. J. Solids Struct. 40, 1525–1546 (2003).

    Article  MATH  Google Scholar 

  17. J. N. Reddy, Theory and Analysis of Elastic Plates (Taylor and Francis, Philadelphia, 1999).

    Google Scholar 

  18. J. N. Reddy, Energy Principles and Variational Methods in Applied Mechanics (John Wiley, New York, 1984).

    Google Scholar 

  19. Buckling of Bars, Plates and Shells, Ed. by D. O. Brush and B. O. Almroth (McGraw-Hill, New York, 1975).

    MATH  Google Scholar 

  20. A. M. Zenkour and D. S. Mashat, “Thermal Buckling Analysis of Ceramic-Metal Functionally Graded Plates,” Natur. Sci. 2, 968–978 (2010).

    Article  Google Scholar 

  21. M. Bachir Bouiadjra, M. S. A. Houari, and A. Tounsi, “Thermal Buckling of Functionally Graded Plates According to a Four-Variable Refined Plate Theory,” J. Thermal Stresses 35, 677–694 (2012).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to W. Tebboune.

Additional information

Original Russian Text © W. Tebboune, M. Merdjah, K.H. Benrahou, A. Tounsi.

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 55, No. 5, pp. 150–164, September–October, 2014.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Tebboune, W., Merdjah, M., Benrahou, K.H. et al. Thermoelastic buckling response of thick functionally graded plates. J Appl Mech Tech Phy 55, 857–869 (2014). https://doi.org/10.1134/S0021894414050150

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894414050150

Keywords

  • thermoelastic buckling
  • functionally graded material
  • shear deformation theory
  • neutral surface position