A thermal buckling analysis of functionally graded thick rectangular plates on an elastic foundation is presented. The foundation is described by the Pasternak model. The formulation is based on a higher-order hyperbolic shear deformation theory. Two types of thermal loading, uniform temperature rise and graded temperature change across the thickness of the plates are considered, and their equilibrium and stability equations are obtained. The accuracy of the formulation presented is verified by comparing the results of numerical examples with data available in the literature.
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J. N. Reddy, “Analysis of functionally graded plates,” Int. J. for Numerical Methods in Engineering, 47, 663-684 (2000).
P. Malekzadeh, “Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations,” Composite Structures, 89, 367-373 (2009).
A. M. A. Neves, A. J. M. Ferreira, E. Carrera, C. M. C. Roque, M. Cinefra, R. M. N. Jorge, and C. M. M. Soares, “Bending of FGM plates by a sinusoidal plate formulation and collocation with radial basis functions,” Mechanics Research Communications, 38, No. 5, 368-371 (2011).
N. El Meiche, A. Tounsi, N. Ziane, I. Mechab, and E. A. Adda.Bedia, “A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate,” Int. J. of Mech. Sci., 53, 237-247 (2011).
E. Viola, L. Rosetti, and N. Fantuzzi, “Numerical investigation of functionally graded cylindrical shells and panels using the generalized unconstrained third order theory coupled with the stress recovery,” Compos. Struct., 94, No. 12, 3736-3758 (2012).
Y. Ootao and Y. Tanigawa, “Three-dimensional transient thermal stresses of functionally graded rectangular plate due to partial heating,” J. of Thermal Stresses, 22, No. 1, 35-55 (1999).
H. S. Shen, “Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments,” Int. J. of Mech. Sci., 44, No. 3, 561-584 (2002).
S. S. Vel and R. C. Batra, “Three-dimensional analysis of transient thermal stresses in functionally graded plates,” Int. J. of Solids and Structures, 40, No. 25, 7181-7196 (2003).
M. K. Apalak and R. Gunes, “Thermal residual stress analysis of Ni-Al2O3, Ni-TiO2, and Ti-SiC functionally graded composite plates subjected to various thermal fields,” J. of Thermoplastic Composite Materials, 18, No. 2, 119-152 (2005).
R. Javaheri and M. R. Eslami, “Thermal buckling of functionally graded plates,” AIAA J., 40, No. 1, 162-169 (2002).
K. S. Na and J. H. Kim, “Three-dimensional thermal buckling analysis of functionally graded materials,” Composites: Part B. Engineering, 35, No. 5, 429-437 (2004).
H. Matsunaga, “Thermal buckling of functionally graded plates according to a 2D higher-order deformation theory,” Compos. Struct., 90, No. 1, 76-86 (2009).
X. Zhao, Y. Y. Lee, and K. M. Liew, “Mechanical and thermal buckling analysis of functionally graded plates,” Compos. Struct., 90, No. 2, 161-171 (2009).
A. M. Zenkour and M. Shoby, “Thermal buckling of functionally graded plates resting on elastic foundations using the trigonometric theory,” J. of Thermal Stresses, 34, No. 11, 1119-1138 (2011).
M. Bodaghi and A. R. Saidi, “Thermoelastic buckling behavior of thick functionally graded rectangular plates,” Arch. of Appl. Mech., 81, No. 11, 1555-1572 (2011).
A. M. A. Neves, A. J. M. Ferreira, E. Carrera, M. Cinefra, R. M. N. Jorge, and C. M. M. Soares, “Buckling analysis of sandwich plates with functionally graded skins using a new quasi-3D hyperbolic sine shear deformation theory and collocation with radial basis functions,” ZAMM, 92, No. 9, 749-766 (2012).
T. Huu-Tai and C. Dong-Ho, “An efficient and simple refined theory for buckling analysis of functionally graded plates,” Appl. Math. Modeling, 36, 1008-1022 (2012).
S. S. Akavci, “Buckling and free vibration analysis of symmetric and antisymmetric laminated composite plates on an elastic foundation,” J. of Reinforced Plastics and Composites, 26, 1907-1913 (2007).
G. N. Praveen and J. N. Reddy, “Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates,” Int. J.of Solids and Structures, 35, No.33, 4457-4476 (1998).
M. B. Bouiadjra, M. S. A. Houari, and A. Tounsi, “Thermal buckling of functionally graded plates according to a fourvariable refined plate theory,” J. of Thermal Stresses, 35, 677-694 (2012).
D. O. Brush and B. O. Almroth, Buckling of Bars, Plates and Shells, McGraw-Hill, NewYork (1975).
R. Javaheri and M. R. Eslami, “Thermal buckling of functionally graded plates based on a higher order theory,” J. of Thermal Stresses, 25, 603-625 (2002).
A. M. Zenkour and D. S. Mashat, “Thermal buckling analysis of ceramic-metal functionally graded plates,” Natural Sci., 2, No. 9, 968-978 (2010).
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Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 50, No. 2, pp. 279-298, March-April, 2014.
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Akavci, S.S. Thermal Buckling Analysis of Functionally Graded Plates on an Elastic Foundation According to a Hyperbolic Shear Deformation Theory. Mech Compos Mater 50, 197–212 (2014). https://doi.org/10.1007/s11029-014-9407-1
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DOI: https://doi.org/10.1007/s11029-014-9407-1