caa a22 4500 445812605 CHVBK 20180317145216.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s00419-010-0501-0 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0501-0 Thermoelastic buckling behavior of thick functionally graded rectangular plates [Elektronische Daten] [M. Bodaghi, A. Saidi] Thermoelastic buckling behavior of thick rectangular plate made of functionally graded materials is investigated in this article. The material properties of the plate are assumed to vary continuously through the thickness of the plate according to a power-law distribution. Three types of thermal loading as uniform temperature raise, nonlinear and linear temperature distribution through the thickness of plate are considered. The coupled governing stability equations are derived based on the Reddy's higher-order shear deformation plate theory using the energy method. The resulted stability equations are decoupled and solved analytically for the functionally graded rectangular plates with two opposite edges simply supported subjected to different types of thermal loading. A comparison of the present results with those available in the literature is carried out to establish the accuracy of the presented analytical method. The influences of power of functionally graded material, plate thickness, aspect ratio, thermal loading conditions and boundary conditions on the critical buckling temperature of aluminum/alumina functionally graded rectangular plates are investigated and discussed in detail. The critical buckling temperatures of thick functionally graded rectangular plates with various boundary conditions are reported for the first time and can be served as benchmark results for researchers to validate their numerical and analytical methods in the future. Springer-Verlag, 2011 Thermoelastic buckling nationallicence Functionally graded nationallicence Thick rectangular plate nationallicence Higher-order shear deformation theory nationallicence Analytical solution nationallicence a , b : Length and width of plate, respectively nationallicence h : Plate thickness nationallicence x , y , z : Rectangular Cartesian coordinates nationallicence P ( z ), P c , P m : Material properties of the functionally graded material (FGM), ceramic and metal nationallicence E ( z ), E c , E m : Young's modulus of the FGM, ceramic and metal nationallicence K ( z ), K c , K m : Coefficient of thermal conductivity of the FGM, ceramic and metal nationallicence α ( z ), α c , α m : Coefficient of thermal expansion of the FGM, ceramic and metal nationallicence n : Power of FGM nationallicence ν : Poisson's ratio nationallicence U 1, U 2, U 3 : Components of displacement field nationallicence u , v , w : Displacements of mid-plane of the plate in the x, y and z directions, respectively nationallicence ψ x , ψ y : Rotation functions nationallicence ε xx , ε yy : Normal strains nationallicence γ xy , γ xz , γ yz : Shear strains nationallicence σ xx , σ yy : Normal stresses nationallicence σ xy , σ xz , σ yz : Shear stresses nationallicence Q 11, Q 22, Q 12 : Elements of the reduced stiffness matrix nationallicence N i , M i , P i , Q j , R j : Stress resultants nationallicence N T , M T , P T : Thermal stress resultants nationallicence T ( x , y , z ) : Temperature distribution nationallicence T c , T m : Temperatures of full-ceramic and full-metallic surfaces of the plate nationallicence A ij , B ij , C ij , D ij , F ij , H ij : Plate stiffness coefficients nationallicence $${u^{0}, v^{0}, w^{0}, {\psi _x^0}, {\psi _y^0}}$$ : Displacement components related to equilibrium state nationallicence $${u^{1}, v^{1}, w^{1}, {\psi _x^1}, {\psi _y^1}}$$ : Incremental displacement components nationallicence $${N_i^0, M_i^0, P_i^0, Q_j^0, R_j^0 }$$ : Stress resultants related to equilibrium state nationallicence $${N_i^1, M_i^1, P_i^1, Q_j^1, R_j^1}$$ : Incremental stress resultants nationallicence $${B_1, B_2,\hat{{B}}, C_1, C_2, \hat{{C}}, \overline{{C}}, H_1, \hat{{H}}, A_2, \hat{{A}}, \hat{{F}}}$$ : Constant material coefficients nationallicence $${\overline{{D}}}$$ : Equivalent flexural rigidity of the FG plate nationallicence $${\varphi _4 }$$ : Boundary layer function nationallicence m : Number of half-waves in the x direction nationallicence Bodaghi M. Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran aut Saidi A. Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran aut Archive of Applied Mechanics Springer-Verlag 81/11(2011-11-01), 1555-1572 0939-1533 81:11<1555 2011 81 419 https://doi.org/10.1007/s00419-010-0501-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0501-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bodaghi M. Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran aut NATIONALLICENCE 700 1- Saidi A. Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/11(2011-11-01), 1555-1572 0939-1533 81:11<1555 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer