Analysis of buckling response of functionally graded sandwich plates using a refined shear deformation theory

- Journal title : Wind and Structures
- Volume 22, Issue 3, 2016, pp.291-305
- Publisher : Techno-Press
- DOI : 10.12989/was.2016.22.3.291

Title & Authors

Analysis of buckling response of functionally graded sandwich plates using a refined shear deformation theory

Abdelhak, Z.; Hadji, L.; Khelifa, Z.; Hassaine Daouadji, T.; Adda Bedia, E.A.;

Abdelhak, Z.; Hadji, L.; Khelifa, Z.; Hassaine Daouadji, T.; Adda Bedia, E.A.;

Abstract

In this paper, a refined shear deformation plate theory which eliminates the use of a shear correction factor was presented for FG sandwich plates composed of FG face sheets and an isotropic homogeneous core. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the plate. The mechanical properties of the plate are assumed to vary continuously in the thickness direction by a simple power-law distribution in terms of the volume fractions of the constituents. Based on the present refined shear deformation plate theory, the governing equations of equilibrium are derived from the principle of virtual displacements. Numerical illustrations concern buckling behavior of FG sandwiches plates with Metal-Ceramic composition. Parametric studies are performed for varying ceramic volume fraction, volume fraction profiles, Boundary condition, and length to thickness ratios. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.

Keywords

mechanical properties;functionally graded sandwich plate;buckling;shear deformation;volume fraction;

Language

English

Cited by

1.

2.

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.

2.

Ait Atmane, H., Tounsi, A. and Bernard, F. (2015), "Effect of thickness stretching and porosity on mechanical response of functionally graded beams resting on elastic foundations", Int. J. Mech. Mater. Des., 1-14, Article in Press.

3.

Ait Atmane, H., Tounsi, A. and Bernard, F. (2016), "Effect of thickness stretching and porosity on mechanical response of functionally graded beams resting on elastic foundations", Int. J. Mech. Mater. Des., 1-14.

4.

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.

5.

Al-Basyouni, K.S., Tounsi, A. and Mahmoud, S.R. (2015), "Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position", Compos. Struct., 125, 621-630.

6.

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

7.

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", Compos.: Part B, 60, 274-283.

8.

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.

9.

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.

10.

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.

11.

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

12.

Etemadi, E., Khatibi, AA. and Takaffoli, M. (2009), "3D finite element simulation of sandwich panels with a functionally graded core subjected to low velocity impact", Compos. Struct, 89, 28-34.

13.

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.

14.

Hadji, L., Atmane, H.A., Tounsi, A., Mechab, I. and Adda Bedia, E.A. (2011), "Free vibration of functionally graded sandwich plates using four variable refined plate theory", Appl. Math. Mech., 32, 925-942.

15.

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

16.

Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Adda Bedia, E.A. (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(2), 374-383.

17.

Kiani, Y. and Eslami, M.R. (2012), "Thermal buckling and postbuckling response of imperfect temperature-dependent sandwich FGM plates resting on elastic foundation", Arch. Appl. Mech., 82, 891-905.

18.

Klouche Djedid, I., Benachour, A., Houari, M.S.A., Tounsi, A. and Ameur, M. (2014), "A n-order four variable refined theory for bending and free vibration of functionally graded plates", Steel Compos. Struct., 17(1), 21-46.

19.

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. Model., 39(9), 2489-2508.

20.

Shodja, H.M., Haftbaradaran, H. and Asghari, M. (2007), "A thermoelasticity solution of sandwich structures with functionally graded coating", Compos. Sci. Technol., 67, 1073-1080.

21.

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.

22.

Thai, H.T., Nguyen, T.K., Vo, T.P. and Lee, J., (2014), "Analysis of functionally graded sandwich plates using a new first-order shear deformation theory", European J. Mech. A/Solids, 45, 211-225.

23.

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.

24.

Wang, Z.X. and Shen, H.S. (2011), "Nonlinear analysis of sandwich plates with FGM face sheets resting on elastic foundations", Compos. Struct., 93, 2521-2532.

25.

Zemri, A., Houari, M.S.A., Bousahla, A.A. and Tounsi, A. (2015), "A mechanical response of functionally graded nanoscale beam : an assessment of a refined nonlocal shear deformation theory", Struct. Eng. Mech., 54( 4), 693-710.

26.

Zenkour, A.M. (2005), "A comprehensive analysis of functionally graded sandwich plates: Part 1-Deflection and stresses and Part 2-Buckling and free vibration", Int. J. Solids Struct., 42, 5224-5258.