JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Thermal buckling response of functionally graded sandwich plates with clamped boundary conditions
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
  • Journal title : Smart Structures and Systems
  • Volume 18, Issue 2,  2016, pp.267-291
  • Publisher : Techno-Press
  • DOI : 10.12989/sss.2016.18.2.267
 Title & Authors
Thermal buckling response of functionally graded sandwich plates with clamped boundary conditions
Abdelhak, Zohra; Hadji, Lazreg; Daouadji, T. Hassaine; Adda Bedia, E.A.;
 Abstract
In this research work, an exact analytical solution for thermal buckling analysis of functionally graded material (FGM) sandwich plates with clamped boundary condition subjected to uniform, linear, and non-linear temperature rises across the thickness direction is developed. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory accounts for parabolic distribution of the transverse shear strains, and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. A power law distribution is used to describe the variation of volume fraction of material compositions. Equilibrium and stability equations are derived based on the present refined theory. The non-linear governing equations are solved for plates subjected to simply supported and clamped boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. The effects of aspect and thickness ratios, gradient index, on the critical buckling are all discussed.
 Keywords
functionally graded plates;refined theory;sandwich plate;clamped boundary conditions;thermal buckling;
 Language
English
 Cited by
 References
1.
Ait Amar Meziane, M., Abdelaziz, H.H. and Tounsi, A. (2014), "An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions", J. Sandw. Struct. Mater., 16(3), 293-318. crossref(new window)

2.
Ait Yahia, S., Ait Atmane, H., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., 53(6), 1143-1165. crossref(new window)

3.
Attia, A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2015), "Free vibration analysis of functionally graded plates with temperature-dependent properties using various four variable refined plate theories", Steel Compos. Struct., 18(1), 187-212. crossref(new window)

4.
Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Anwar Beg, O. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Composites: Part B, 60, 274-283. crossref(new window)

5.
Bellifa, H., Benrahou, K.H., Hadji, L., Houari, M.S.A. and Tounsi, A. (2016), "Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position", J. Braz. Soc. Mech. Sci. Eng., 38, 265-275. crossref(new window)

6.
Bennoun, M., Houari, M.S.A. and Tounsi, A. (2016), "A novel five variable refined plate theory for vibration analysis of functionally graded sandwich plates", Mech. Adv. Mater. Struct., 23(4), 423 - 431. crossref(new window)

7.
Bouchafa, A., Bachir Bouiadjra, M., Houari, M.S.A. and Tounsi, A. (2015), "Thermal stresses and deflections of functionally graded sandwich plates using a new refined hyperbolic shear deformation theory", Steel Compos. Struct., 18(6), 1493-1515. crossref(new window)

8.
Bouderba, B., Houari, M.S.A. and Tounsi, A. (2013) "Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations", Steel Compos. Struct., 14(1), 85-104. crossref(new window)

9.
Bouiadjra, M.B., Houari, M.S.A. and Tounsi, A. (2012), "Thermal buckling of functionally graded plates according to a four-variable refined plate theory", J. Therm. Stresses, 35, 677-694. crossref(new window)

10.
Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Adda Bedia, E.A. (2014), "A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates", Int. J. Comput. Meth., 11(6), 1350082. crossref(new window)

11.
Bourada, M., Kaci, A., Houari, M.S.A. and Tounsi, A. (2015), "A new simple shear and normal deformations theory for functionally graded beams", Steel Compos. Struct., 18(2), 409-423. crossref(new window)

12.
El-Hadek, M. and Tippur, H.V. (2003), "Dynamic fracture parameters and constraint effects in functionally graded syntactic epoxy foams", Int. J. Solids Struct., 40, 1885-1906. crossref(new window)

13.
Fukui, Y. (1991), "Fundamental investigation of functionally gradient material manufacturing system using centrifugal force", Int. J. Japanese Soci. Mech. Eng., 3, 144-148.

14.
Fukui, Y., Yamanaka, N. and Enokida, Y. (1997), "Bending strength of an AI-AI3Ni functionally graded material", Composites: Part B, 28 B, 37-43.

15.
Hamidi, A., Houari, M.S.A., Mahmoud, S.R. and Tounsi, A. (2015), "A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates", Steel Compos. Struct., 18(1), 235-253. crossref(new window)

16.
Hebali et al. (2014), "A new quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", J. Eng. Mech. - ASCE, 140, 374-383. crossref(new window)

17.
Javaheri, R. and Eslami, M.R. (2002), "Buckling of functionally graded plates under in-plane compressive loading", ZAMM, 82(4), 277-283. crossref(new window)

18.
Javaheri, R. and Eslami, M.R. (2002), "Thermal buckling of functionally graded plates", AIAA, 40(1), 162-169. crossref(new window)

19.
Javaheri, R., and Eslami, M. R., (2002), "Thermal Buckling of Functionally Graded Plates Based on Higher Order Theory", J. Therm. Stress, 25(1), 603-625. crossref(new window)

20.
Koizumi, M. (1997), "FGM Activites in Japan", Composite: Part B, Vol. 28(1), 1-4.

21.
Mahi, A., Adda Bedia, E.A. and Tounsi, A. (2015), "A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates", Appl. Math. Modell., 39, 2489-2508. crossref(new window)

22.
Samsam, B.A. and Eslami, M.R. (2005), "Buckling of imperfect functionally graded plates under in-plane compressive loading", Thin. Wall. Struct., 43, 1020-1036. crossref(new window)

23.
Samsam, B.A. and Eslami, M.R. (2005), "Effect of initial imperfection on thermal buckling of functionally graded plates", J. Therm. Stress, 28, 1183-1198. crossref(new window)

24.
Samsam, B. A. and Eslami, M. R. (2006), "Thermal buckling of imperfect functionally graded plates", Int. J. Solids Struct., 43, 4082-4096. crossref(new window)

25.
Samsam, B.A. and Eslami, M.R. (2007), "Buckling of Thick Functionally Graded Plates under Mechanical and Thermal Loads", Compos. Struct, 78, 433-439. crossref(new window)

26.
Sobhy, M. (2013), "Buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions", Compos. Struct., 99, 76-87. crossref(new window)

27.
Sohn, K.J. and Kim, J.H. (2008), "Structural stability of functionally graded panels subjected to aero-thermal loads", Compos. Struct., 82, 317-325. crossref(new window)

28.
Tounsi, A., Houari, M.S.A., Benyoucef, S. and Adda Bedia, E.A. (2013), "A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates", Aerospace Sci. Technol., 24, 209-220. crossref(new window)

29.
Xiang, S. and Kang, G.W. (2013), "A nth-order shear deformation theory for the bending analysis on the functionally graded plates", Eur. J. Mech. A Solids, 37, 336-343. crossref(new window)

30.
Yamanouchi, M., Koizumi, M. and Shiota, I. (1990), Proceedings of the 1st Int. Symp. Functionally Gradient Materials, Sendai, Japan.

31.
Zenkour A.M. and Mashat, D.S. (2010), "Thermal buckling analysis of ceramic-metal functionally graded plates", Nat. Sci, 2, 968-978.

32.
Zidi, M., Tounsi, A., Houari, M.S.A., Adda Bedia, E.A. and Anwar Beg, O. (2014), "Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory", Aerospace Sci. Technol., 34, 24-34. crossref(new window)