Browse > Article
http://dx.doi.org/10.12989/aas.2018.5.6.615

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)
Publication Information
Advances in aircraft and spacecraft science / v.5, no.6, 2018 , pp. 615-632 More about this Journal
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
functionally graded plates; a refined higher-order normal and shear deformation theory; Navier's procedure; mechanical buckling analysis;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 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.   DOI
2 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.   DOI
3 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.   DOI
4 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.   DOI
5 Zenkour, A.M. (2006), "Generalized shear deformation theory for bending analysis of functionally graded plates", Appl. Math. Model., 30(1), 67-84.   DOI
6 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.   DOI
7 Zenkour, A.M. and Sobhy, M. (2010), "Thermal buckling of various types of FGM sandwich plates", Compos. Struct., 93(1), 93-102.   DOI
8 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.   DOI
9 Birman, V. (1995), "Stability of functionally graded hybrid composite plates", Compos. Eng., 5(7), 913-921.   DOI
10 Bodaghi, M. and Saidi, A.R. (2011), "Thermoelastic buckling behavior of thick functionally graded rectangular plates", Arch. Appl. Mech., 81(11), 1555-1572.   DOI
11 Carrera, E. (2005), "Transverse normal strain effects on thermal stress analysis of homogeneous and layered plates", AIAA J., 43(10), 2232-2242.   DOI
12 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.   DOI
13 Feldman, E. and Aboudi, J. (1997), "Buckling analysis of functionally graded plates subjected to uniaxial loading", Compos. Struct., 38(1-4), 29-36.   DOI
14 Huang, Y. and Li, X.F. (2010), "Buckling of functionally graded circular columns including shear deformation", Mater. Des., 31(7), 3159-3166.   DOI
15 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.   DOI
16 Kiani, Y. and Eslami, M.R. (2010), "Thermal buckling analysis of functionally graded material beams", Int. J. Mech. Mater. Des., 6(3), 229-238.   DOI
17 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.   DOI
18 Lanhe, W. (2004), "Thermal buckling of a simply supported moderately thick rectangular FGM plate", Compos. Struct., 64(2), 211-218.   DOI
19 Matsunaga, H. (2009), "Thermal buckling of functionally graded plates according to a 2D higher-order deformation theory", Compos. Struct., 90(1), 76-86.   DOI
20 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.   DOI
21 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.
22 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.   DOI
23 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.   DOI
24 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.
25 Reddy, J.N. (1984), "A simple higher-order theory for laminated composite plates", J. Appl. Mech., 51(4), 745-752.   DOI
26 Reddy, J.N. (1997), "Mechanics of laminated composite plate: Theory and analysis", CRC Press, New York, U.S.A.
27 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.
28 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.   DOI
29 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.
30 Shen, H.S. (2007), "Thermal post-buckling behavior of shear deformable FGM plates with temperaturedependent properties", Int. J. Mech. Sci., 49(4), 466-478.   DOI
31 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.   DOI