Advances in aircraft and spacecraft science

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Mechanical buckling of functionally graded plates using a refined higher-order shear and normal deformation plate theory

  • Zenkour, A.M. (Department of Mathematics, Faculty of Science, King Abdulaziz University) ;
  • Aljadani, M.H. (Department of Mathematics, Faculty of Science, King Abdulaziz University)
  • Received : 2018.04.07
  • Accepted : 2018.05.28
  • Published : 2018.11.25
⟨ Previous Next ⟩

Abstract

Mechanical buckling of a rectangular functionally graded plate is obtained in the current paper using a refined higher-order shear and normal deformation theory. The impact of transverse normal strain is considered. The material properties are microscopically inhomogeneous and vary continuously based on a power law form in spatial direction. Navier's procedure is applied to examine the mechanical buckling behavior of a simply supported FG plate. The mechanical critical buckling subjected to uniaxial and biaxial compression loads are determined. The numerical investigation are compared with the numerical results in the literature. The influences of geometric parameters, power law index and different loading conditions on the critical buckling are studied.

Keywords

References

  1. Birman, V. (1995), "Stability of functionally graded hybrid composite plates", Compos. Eng., 5(7), 913-921. https://doi.org/10.1016/0961-9526(95)00036-M
  2. Bodaghi, M. and Saidi, A.R. (2011), "Thermoelastic buckling behavior of thick functionally graded rectangular plates", Arch. Appl. Mech., 81(11), 1555-1572. https://doi.org/10.1007/s00419-010-0501-0
  3. Carrera, E. (2005), "Transverse normal strain effects on thermal stress analysis of homogeneous and layered plates", AIAA J., 43(10), 2232-2242. https://doi.org/10.2514/1.11230
  4. Fekrar, A., El Meiche, N., Bessaim, A., Tounsi, A. and Adda Bedia, E.A. (2012), "Buckling analysis of functionally graded hybrid composite plates using a new four variable refined plate theory", Steel Compos. Struct., 13(1), 91-107. https://doi.org/10.12989/scs.2012.13.1.091
  5. Feldman, E. and Aboudi, J. (1997), "Buckling analysis of functionally graded plates subjected to uniaxial loading", Compos. Struct., 38(1-4), 29-36. https://doi.org/10.1016/S0263-8223(97)00038-X
  6. Huang, Y. and Li, X.F. (2010), "Buckling of functionally graded circular columns including shear deformation", Mater. Des., 31(7), 3159-3166. https://doi.org/10.1016/j.matdes.2010.02.032
  7. Javaheri, R. and Eslami, M.R. (2011), "Thermal buckling of functionally graded plates based on higher order theory", J. Therm. Stresses, 25(7), 603-625. https://doi.org/10.1080/01495730290074333
  8. Kiani, Y. and Eslami, M.R. (2010), "Thermal buckling analysis of functionally graded material beams", Int. J. Mech. Mater. Des., 6(3), 229-238. https://doi.org/10.1007/s10999-010-9132-4
  9. Kiani, Y. and Eslami, M.R. (2012), "Thermal buckling and post-buckling response of imperfect temperaturedependent sandwich FGM plates resting on elastic foundation", Arch. Appl. Mech., 82(7), 891-905. https://doi.org/10.1007/s00419-011-0599-8
  10. Lanhe, W. (2004), "Thermal buckling of a simply supported moderately thick rectangular FGM plate", Compos. Struct., 64(2), 211-218. https://doi.org/10.1016/j.compstruct.2003.08.004
  11. Matsunaga, H. (2009), "Thermal buckling of functionally graded plates according to a 2D higher-order deformation theory", Compos. Struct., 90(1), 76-86. https://doi.org/10.1016/j.compstruct.2009.02.004
  12. Mohammadi, M., Saidi, A. and Jomehzadeh, R.E. (2010), "A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges", Proc. Inst. Mech. Engrs. Part C J. Mech. Eng. Sci., 224(9), 1831-1841. https://doi.org/10.1243/09544062JMES1804
  13. Mokhtar, B., Abedlouahed, T., El Abba, A.B. and Abdelkader, M. (2009), "Buckling analysis of functionally graded plates with simply supported edges", Leonardo J. Sci., 8(15), 21-32.
  14. Mozafari, H. and Ayob, A. (2012), "Effect of thickness variation on the mechanical buckling load in plates made of functionally graded materials", Proc. Tech., 1,496-504. https://doi.org/10.1016/j.protcy.2012.02.108
  15. Neves, A.M.A., Ferreira, A.J.M., Carrera, E., Cinefra, M., Roque, C.M.C., Jorge, R.M.N. and Soares, C.M.M. (2013), "Free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique", Compos. B, 44(1), 657-674. https://doi.org/10.1016/j.compositesb.2012.01.089
  16. Reddy, B.S., Kumar, J.S., Reddy, C.E. and. Reddy, K.V. (2013), "Buckling analysis of functionally graded material plates using higher order shear deformation theory", J. Compos., 2013, 1-12.
  17. Reddy, J.N. (1984), "A simple higher-order theory for laminated composite plates", J. Appl. Mech., 51(4), 745-752. https://doi.org/10.1115/1.3167719
  18. Reddy, J.N. (1997), "Mechanics of laminated composite plate: Theory and analysis", CRC Press, New York, U.S.A.
  19. Saha, R. and Maiti, P.R. (2012), "Buckling of simply supported FGM plates under uniaxial load", Int. J. Civil Struct. Eng., 2(4), 1036-1050.
  20. Sepiani, H.A., Rastgoo, A., Ebrahimi, F. and Ghorbanpour Arani, A. (2010), "Vibration and buckling analysis of two-layered functionally graded cylindrical shell, considering the effects of transverse shear and rotary inertia", Mater. Des., 31(3), 1063-1069. https://doi.org/10.1016/j.matdes.2009.09.052
  21. Shariat, B.A.S. and Eslami, M.R. (2005), "Buckling of functionally graded plates under in plane compressive loading based on the first order plate theory", Proceedings of 5th International Conference on Composite Science and Technology (ICCST/5), Sharjah, UAE, February.
  22. Shen, H.S. (2007), "Thermal post-buckling behavior of shear deformable FGM plates with temperaturedependent properties", Int. J. Mech. Sci., 49(4), 466-478. https://doi.org/10.1016/j.ijmecsci.2006.09.011
  23. Thai, H.T. and Choi, D.H. (2012), "An efficient and simple refined theory for buckling analysis of functionally graded plates", Appl. Math. Model., 36(3), 1008-1022. https://doi.org/10.1016/j.apm.2011.07.062
  24. Thai, H.T. and Vo, T.P. (2013), "A new sinusoidal shear deformation theory for bending, buckling, and vibration of functionally graded plates", Appl. Math. Model., 37(5), 3269-3281. https://doi.org/10.1016/j.apm.2012.08.008
  25. Thinh, T.I., Tu, T.M., Quoc, T.H. and Long, N.V. (2016), "Vibration and buckling analysis of functionally graded plates using new eight-unknown higher order shear deformation theory", Lat. Am. J. Solids Struct., 13(3), 456-477. https://doi.org/10.1590/1679-78252522
  26. Yang, J., Liew, K.M. and Kitipornchai, S. (2005), "Second-order statistics of the elastic buckling of functionally graded rectangular plates", Compos. Sci. Tech., 65(7-8), 1165-1175. https://doi.org/10.1016/j.compscitech.2004.11.012
  27. Zenkour, A.M. (2005), "A comprehensive analysis of functionally graded sandwich plates: Part 2 - Buckling and free vibration", Int. J. Solids Struct., 42(18-19), 5224-5242. https://doi.org/10.1016/j.ijsolstr.2005.02.015
  28. Zenkour, A.M. (2006), "Generalized shear deformation theory for bending analysis of functionally graded plates", Appl. Math. Model., 30(1), 67-84. https://doi.org/10.1016/j.apm.2005.03.009
  29. Zenkour, A.M. (2007), "Benchmark trigonometric and 3-D elasticity solutions for an exponentially graded thick rectangular plate", Arch. Appl. Mech., 77(4), 197-214. https://doi.org/10.1007/s00419-006-0084-y
  30. Zenkour, A.M. and Sobhy, M. (2010), "Thermal buckling of various types of FGM sandwich plates", Compos. Struct., 93(1), 93-102. https://doi.org/10.1016/j.compstruct.2010.06.012
  31. Zhao, X., Lee, Y.Y. and Liew, K.M. (2009), "Mechanical and thermal buckling analysis of functionally graded plates", Compos. Struct., 90(2), 161-171. https://doi.org/10.1016/j.compstruct.2009.03.005