Skip to main content
SpringerLink
Log in

Numerical study on the thermal buckling of functionally graded sandwich plates

  • Original Article
  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

Functionally graded (FG) sandwich plates have been spotlighted as an advanced composite structure so that the vast amount of research efforts have paid on the study of their thermo-mechanical behaviors. Among them, the thermal buckling has emerged as an important research subject because it is directly related to the safety of structural system. In this situation, this paper examines the thermal buckling behavior of ceramic-metal FG sandwich plates with a homogeneous core and two FGM face sheets. The thermal buckling problem is formulated according to 3-D thermo-elasticity and approximated by making use of a (1,1,0) hierarchical model and 2-D natural element method (NEM). The NEM-based numerical method was compared with the reference methods, from which its reliability was verified. In addition, the critical buckling temperatures (CBTs) of ceramic-metal FG sandwich plates subject to uniform, linear and nonlinear temperature loads are parametrically examined. The parametric experiments informed that the CBT is strongly influenced by the width/thickness, core thickness and aspect ratios, the ceramic and nonlinearity indices, and the boundary condition type.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. R. Cho and J. T. Oden, Functionally graded material: a parametric study on thermal-stress characteristics using the Crank-Nicolson-Galerkin scheme, Comput. Methods Appl. Mech. Engrg., 188 (2000) 17–38.

    Article  MATH  Google Scholar 

  2. Y. Miyamoto, W. W. Kaysser, B. H. Rabin, A. Kawasaki and R. G. Ford, Functionally Graded Materials: Design, Processing and Applications, Springer Science+ Business Media, New York (1999).

    Book  Google Scholar 

  3. A. M. Zenkour, A comprehensive analysis of functionally graded sandwich plates: part 1 — deflection and stresses, Int. J. Solids Struct., 42 (2005) 5224–5242.

    Article  MATH  Google Scholar 

  4. J. R. Cho and D. Y. Ha, Volume fraction optimization for minimizing thermal stress in Ni-Al2O3 functionally graded materials, Mater. Sci. Eng. A, 334 (2002) 147–155.

    Article  Google Scholar 

  5. G. J. Nie, Z. Zhong and R. C. Batra, Material tailoring for reducing stress concentration factor at a circular hole in a functionally graded materials (FGM) panel, Compos. Struct., 205 (2018) 49–57.

    Article  Google Scholar 

  6. M. Chmielewski and L. Pietrzak, Ceramic-metal functionally graded materials — manufacturing, characterization, application, Bull. Polish Acad. Sci., 64(1) (2016) 151–160.

    Google Scholar 

  7. M. Kashtalyan and M. Menshykova, Three-dimensional elasticity solution for sandwich panels with a functionally graded core, Compos. Struct., 87(1) (2009) 36–43.

    Article  Google Scholar 

  8. D. Li, Z. Deng, H. Xiao and P. Jin, Bending analysis of sandwich plates with different face sheet materials and functionally graded soft core, Thin-Walled Struct., 122 (2018) 8–16.

    Article  Google Scholar 

  9. M. Das, B. Barut, E. Madenci and D. R. DAmbur, A triangular plate element for thermo-elastic analysis of sandwich panels with a functionally graded core, Int. J. Numer. Methods Engng., 68 (2006) 940–966.

    Article  MATH  Google Scholar 

  10. M. Bennoun, M. S. A. Houari and A. Tounsi, A novel five-variable refined plate theory for vibration analysis of functionally graded sandwich plates, Mech. Adv. Mater. Struct., 23(4) (2016) 423–431.

    Article  Google Scholar 

  11. Q. Li, V. P. Iu and K. P. Kou, Three-dimensional vibration analysis of functionally graded material sandwich plates, J. Sound Vib., 311 (2008) 498–515.

    Article  Google Scholar 

  12. H. Hu, S. Belouettar, M. Potier-Ferry and A. Makradi, A novel finite element for global and local buckling analysis of sandwich beams, Compos. Struct., 90(3) (2009) 270–278.

    Article  Google Scholar 

  13. H. Yaghoobi and P. Yaghoobi, Buckling analysis of sandwich plates with FGM face sheets resting on elastic foundation with various boundary conditions: an analytical approach, Meccanica, 48 (2013) 2019–2035.

    Article  MathSciNet  MATH  Google Scholar 

  14. N. ElMeiche, A. Tounsi, N. Ziane, I. Mechab and E. A. Adda Bedia, A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate, Int. J. Mech. Sci., 53 (2011) 237–247.

    Article  Google Scholar 

  15. M. S. A. Houari, S. Benyoucef, I. Mechab, A. Tounsi and E. A. Adda Bedia, Two variable refined plate theory for thermoelastic bending analysis of functionally graded sandwich plates, J. Thermal Stress., 34 (2011) 315–334.

    Article  Google Scholar 

  16. S. S Akavci, Mechanical behavior of functionally graded sandwich plates on elastic foundation, Compos. Part B, 96 (2016) 136–152.

    Article  Google Scholar 

  17. E. Carrera, S. Brischetto, M. Cinefra and M. Soave, Effects of thickness stretching in functionally graded plates and shells, Compos. Part B, 42 (2011) 123–133.

    Article  Google Scholar 

  18. S. Pandey and S. Pradyumna, Free vibration of functionally graded sandwich plates in thermal environment using a layer-wise theory, Euro. J. Mech.-A/Solids, 15 (2015) 55–66.

    Article  MATH  Google Scholar 

  19. M. Cetkovic, Thermo-mechanical bending of laminated composite and sandwich plates using layerwise displacement model, Compos. Struct., 125 (2015) 388–399.

    Article  Google Scholar 

  20. S. Xiang, G. Kang, M. Yang and Y. Zhao, Natural frequencies of sandwich plate with functionally graded face and homogeneous core, Compos. Struct., 96 (2013) 226–231.

    Article  Google Scholar 

  21. T. N. Nguyen, C. H. Thai and H. Nguyen-Xuan, A novel computational approach for functionally graded isotropic and sandwich plate structures based on a rotation-free meshfree method, Thin-Walled Struct., 107 (2016) 473–488.

    Article  Google Scholar 

  22. A. S. Sayyard and Y. M. Ghugal, Modeling and analysis of functionally graded sandwich beams: A review, Mech. Adv. Mater. Struct., 26(21) (2019) 1776–1795.

    Article  Google Scholar 

  23. A. M. Zenkour and M. Sobhy, Thermal buckling of various types of FGM sandwich plates, Compos. Struct., 93(1) (2010) 93–102.

    Article  Google Scholar 

  24. M. Bourada, A. Tounsi, M. S. A. Houari and E. A. Adda Bedia, A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates, J. Sandwich Struct. Mater., 14(1) (2012) 5–33.

    Article  Google Scholar 

  25. Y. Kiani and M. R. Eslami, Thermal buckling and post-buckling response of imperfect termperature-dependent sandwich FGM plate resting on elastic foundation, Archive Appl. Mech., 82 (2012) 891–905.

    Article  MATH  Google Scholar 

  26. F. A. Fazzolari and E. Carrera, Thernal stability of FGM sandwich plates under various through-the-thickness termperature distributions, J. Thermal Stress., 37(12) (2014) 1449–1481.

    Article  Google Scholar 

  27. Z. Abdelhak, L. Hadji and T. H. Daouadji, Thermal buckling response of functionally graded sandwich plates with clamped boundary conditions, Smart Struct. Sys., 18(2) (2016) 267–291.

    Article  Google Scholar 

  28. V. N. Van Do and C. H. Lee, Thermal buckling analyses of FGM sandwich plates using the improved radial point interpolation mesh-free method, Compos. Struct., 177 (2017) 171–186.

    Article  Google Scholar 

  29. A. A. Daikh and A. Megueni, Thermal buckling analysis of functionally graded sandwich plates, J. Thermal Stress., 41(2) (2018) 139–159.

    Article  Google Scholar 

  30. F. Salah, Investigation of thermal buckling properties of ceramic-metal FGM sandwich plates using 2D integral plate model, Steel Compos. Struct., 33(6) (2019) 805–822.

    Google Scholar 

  31. J. R. Cho, Natural element approximation of hierarchical models of plate-like elastic structures, Finite Elem. Anal. Des., 180 (2020) 103439.

    Article  MathSciNet  Google Scholar 

  32. J. R. Cho, Natural element hierarchical models for the free vibration analyses of laminate composite plates, Compos. Struct., 272 (2021) 114247.

    Article  Google Scholar 

  33. N. Sukumar, B. Moran and T. Belytschko, The natural element method in solid mechanics, Int. J. Numer. Methods Engng., 43(5) (1998) 839–887.

    Article  MathSciNet  MATH  Google Scholar 

  34. F. Chinesta, C. Cescotto, E. Cueto and P. Lorong, Natural Element Method for the Simulation of Structures and Processes, Wiley (2013).

  35. O. C. Zienkiewicz, R. L. Taylor and J. M. Too, Reduced integration technique in general analysis of plates and shells, Int. J. Numer. Methods Engng., 3(2) (1971) 275–290.

    Article  MATH  Google Scholar 

  36. J. R. Cho, Free vibration analysis of functionally graded sandwich plates with a homogeneous core, Appl. Sci., 12 (2022) 6054.

    Article  Google Scholar 

  37. H. Matsunaga, Thermal buckling of cross-ply laminated composite and sandwich plates according to a global higher-order deformation theory, Compos. Struct., 68 (2005) 439–454.

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2020R1A2C1100924).

Author information

Authors and Affiliations

  1. Department of Naval Architecture and Ocean Engineering, Hongik University, Sejong, 30016, Korea

    Jin-Rae Cho

Authors
  1. Jin-Rae Cho
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jin-Rae Cho.

Additional information

Jin-Rae Cho received his B.S. degree in Aeronautical Engineering from Seoul National University in 1983. He then received his M.S. and Ph.D. degrees from The University of Texas at Austin in 1993 and 1995, respectively. He is currently a Professor at the Department of Naval Architecture and Ocean Engineering in Hongik University. His major research field is the computational mechanics in solid/structural mechanics, materials science and ocean engineering.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cho, JR. Numerical study on the thermal buckling of functionally graded sandwich plates. J Mech Sci Technol 37, 1913–1922 (2023). https://doi.org/10.1007/s12206-023-0328-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-023-0328-6

Keywords

Search

Navigation