JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Numerical analysis of FGM plates with variable thickness subjected to thermal buckling
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Numerical analysis of FGM plates with variable thickness subjected to thermal buckling
Bouguenina, Otbi; Belakhdar, Khalil; Tounsi, Abdelouahed; Adda Bedia, El Abbes;
 Abstract
A numerical solution using finite difference method to evaluate the thermal buckling of simply supported FGM plate with variable thickness is presented in this research. First, the governing differential equation of thermal stability under uniform temperature through the plate thickness is derived. Then, the governing equation has been solved using finite difference method. After validating the presented numerical method with the analytical solution, the finite difference formulation has been extended in order to include variable thickness. The accuracy of the finite difference method for variable thickness plate has been also compared with the literature where a good agreement has been found. Furthermore, a parametric study has been conducted to analyze the effect of material and geometric parameters on the thermal buckling resistance of the FGM plates. It was found that the thickness variation affects isotropic plates a bit more than FGM plates.
 Keywords
FGM plate;thermal buckling;stability analysis;finite difference;numerical method;
 Language
English
 Cited by
1.
Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation,;;;;

Steel and Composite Structures, 2016. vol.22. 1, pp.91-112 crossref(new window)
2.
A novel four variable refined plate theory for bending, buckling, and vibration of functionally graded plates,;;;;

Steel and Composite Structures, 2016. vol.22. 3, pp.473-495 crossref(new window)
3.
A new five unknown quasi-3D type HSDT for thermomechanical bending analysis of FGM sandwich plates,;;;;

Steel and Composite Structures, 2016. vol.22. 5, pp.975-999 crossref(new window)
4.
Hygrothermal effects on buckling of composite shell-experimental and FEM results,;;;;

Steel and Composite Structures, 2016. vol.22. 6, pp.1445-1463 crossref(new window)
5.
Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory,;;;;;;

Structural Engineering and Mechanics, 2016. vol.57. 4, pp.617-639 crossref(new window)
6.
An efficient shear deformation theory for wave propagation of functionally graded material plates,;;;;;

Structural Engineering and Mechanics, 2016. vol.57. 5, pp.837-859 crossref(new window)
7.
Effect of porosity on vibrational characteristics of non-homogeneous plates using hyperbolic shear deformation theory,;;;;

Wind and Structures, 2016. vol.22. 4, pp.429-454 crossref(new window)
8.
Thermal stability of functionally graded sandwich plates using a simple shear deformation theory,;;;;

Structural Engineering and Mechanics, 2016. vol.58. 3, pp.397-422 crossref(new window)
9.
A simple hyperbolic shear deformation theory for vibration analysis of thick functionally graded rectangular plates resting on elastic foundations,;;;

Geomechanics and Engineering, 2016. vol.11. 2, pp.289-307 crossref(new window)
10.
Buckling behaviours of functionally graded polymeric thin-walled hemispherical shells,;

Steel and Composite Structures, 2016. vol.21. 4, pp.849-862 crossref(new window)
11.
Buckling analysis of isotropic and orthotropic plates using a novel four variable refined plate theory,;;;

Steel and Composite Structures, 2016. vol.21. 6, pp.1287-1306 crossref(new window)
12.
Hygro-thermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory,;;;

Smart Structures and Systems, 2016. vol.18. 4, pp.755-786 crossref(new window)
1.
A simple hyperbolic shear deformation theory for vibration analysis of thick functionally graded rectangular plates resting on elastic foundations, Geomechanics and Engineering, 2016, 11, 2, 289  crossref(new windwow)
2.
A novel four variable refined plate theory for bending, buckling, and vibration of functionally graded plates, Steel and Composite Structures, 2016, 22, 3, 473  crossref(new windwow)
3.
Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation, Steel and Composite Structures, 2016, 22, 1, 91  crossref(new windwow)
4.
An efficient shear deformation theory for wave propagation of functionally graded material plates, Structural Engineering and Mechanics, 2016, 57, 5, 837  crossref(new windwow)
5.
Buckling behaviours of functionally graded polymeric thin-walled hemispherical shells, Steel and Composite Structures, 2016, 21, 4, 849  crossref(new windwow)
6.
Hygro-thermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory, Smart Structures and Systems, 2016, 18, 4, 755  crossref(new windwow)
7.
Buckling analysis of isotropic and orthotropic plates using a novel four variable refined plate theory, Steel and Composite Structures, 2016, 21, 6, 1287  crossref(new windwow)
8.
Effect of porosity on vibrational characteristics of non-homogeneous plates using hyperbolic shear deformation theory, Wind and Structures, 2016, 22, 4, 429  crossref(new windwow)
9.
Thermal stability of functionally graded sandwich plates using a simple shear deformation theory, Structural Engineering and Mechanics, 2016, 58, 3, 397  crossref(new windwow)
10.
Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory, Structural Engineering and Mechanics, 2016, 57, 4, 617  crossref(new windwow)
 References
1.
Ait Atmane, H., Tounsi, A., Ziane, N. and Mechab, I. (2011), "Mathematical solution for free vibration of sigmoid functionally graded beams with varying cross-section", Steel Compos. Struct., Int. J., 11(6), 489-504. crossref(new window)

2.
Bouazza, M., Tounsi, A., Bedia Adda, E.A. and Megueni, A. (2009), "Buckling analysis of functionally graded plates with simply supported edges", Leonardo J. Sci., 8(15), 21-32.

3.
Fekrar, A., Zidi, M., Boumia, L., Ait Atmane, H., Tounsi, A. and Bedia Adda, E.A. (2013), "Thermal buckling of AL/AL2O3 functionally graded plates based on first order theory", Nature Technol. J. AFundamental & Eng. Sci., A(08), 12-16.

4.
Ghomshei, M.M. and Abbasi, V. (2013), "Thermal buckling analysis of annular FGM plate having variable thickness under thermal load of arbitrary distribution by finite element method", J. Mech. Sci. Tech., 27(4), 1031-1039. crossref(new window)

5.
Hiroyuki, M. (2009), "Stress analysis of functionally graded plates subjected to thermal and mechanical loadings", Compos. Struct., 87(4), 344-357. crossref(new window)

6.
Javaheri, R. and Eslami, M.R. (2002a), "Buckling of functionally graded plates under in-plane compressive loading", ZAMM Z Angew. Mater. Mech., 82(4), 277-283. crossref(new window)

7.
Javaheri, R. and Eslami, M.R. (2002b), "Thermal buckling of functionally graded plates", AIAA. J., 40(1), 162-169 crossref(new window)

8.
Javaheri, R. and Eslami, M.R. (2002c), "Thermal buckling of functionally graded plates based on higher order theory", J. Therm. Stress., 25(1), 603-625. crossref(new window)

9.
Koohkan, H., Kimiaeifar, A., Mansourabadi, A. and Vaghefi, R. (2010), "An analytical approach on the buckling analysis of circular, solid and annular functionally graded thin plates", J. Mech. Eng., 41(1), 7-14.

10.
Lanhe, W. (2004), "Thermal buckling of a simply supported moderately thick rectangular FGM plate", Compos. Struct., 64(2), 211-218. crossref(new window)

11.
Mohammadi, M., Saidi, A.R. and Jomehzadeh, E. (2010), "Levy solution for buckling analysis of functionally graded rectangular plates", Appl. Compos. Mater., 17(1), 81-93. crossref(new window)

12.
Mozafari, H. and Ayob, A. (2012), "Effect of thickness variation on the mechanical buckling load in plates made of functionally graded materials", Procedia Technology, 1(2012), 496-504. crossref(new window)

13.
Mozafari, H., Ayob, A. and Alias, A. (2010a), "Influence of thickness variation on the buckling load in plates made of functionally graded materials", Eur. J. Sci. Res., 47(3), 422-435.

14.
Mozafari, H., Ayob, A. and Alias, A. (2010b), "Verification of the thermal buckling load in plates made of functionally graded materials", Int. J. Eng., 4(5), 338-356.

15.
Mozafari, H., Abdi, B. and Ayob, A. (2012a-b), "Optimization of temperature-dependent functionally graded material based on colonial competitive algorithm", Appl. Mech. Mater., 121-126, 4575-4580.

16.
Mozafari, H., Abdi, B., Ayob, A. and Alias, A. (2012b-c), "Optimum critical buckling of functionally graded plates under non-linear temperature by using imperialist competitive algorithm", Appl. Mech. Mater., 110-116, 3429-3433.

17.
Noseir, A. and Reddy, J.N. (1992), "On vibration and buckling of symmetric laminated plates according to shear deformation theories", Acta. Mech., 94(3-4), 145-169. crossref(new window)

18.
Pouladvand, M. (2009), "Thermal stability of thin rectangular plates with variable thickness made of functionally graded material", J Solid Mech., 1(3), 171-189.

19.
Praveen, G.N. and Reddy, J.N. (1998), "Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates", Int. J. Solid. Struct., 35(33), 4457-4476. crossref(new window)

20.
Rajasekaran, S. and Wilson, J.A. (2013), "Buckling and vibration of rectangular plates of variable thickness with different end conditions by finite difference technique", Struct. Eng. Mech., Int. J., 46(2), 269-294. crossref(new window)

21.
Raki, M., Alipour, R. and Kamanbedast, A. (2012), "Thermal buckling of thin rectangular FGM plate", World Appl. Sci. J., 16(1), 52-62.

22.
Rohit, S. and Maiti, P.R. (2012), "Buckling of simply supported FGM plates under uniaxial load", Int. J. Civil Struct. Eng., 2(4), 1035-1050.

23.
Zenkour, A.M. and Mashat, D.S. (2010), "Thermal buckling analysis of ceramic-metal functionally graded plates", Natural Sci., 2(9), 968-978. crossref(new window)