caa a22 4500 467945330 CHVBK 20180405193736.0 cr unu---uuuuu 170328e20050301xx s 000 0 eng 10.1007/s00419-004-0359-0 doi (NATIONALLICENCE)springer-10.1007/s00419-004-0359-0 (NATIONALLICENCE)springer-10.1007/BF02637037 A finite element formulation for analysis of functionally graded plates and shells [Elektronische Daten] [R. Naghdabadi, S. A. Hosseini Kordkheili] A finite element formulation is derived for the thermoelastic analysis of functionally graded (FG) plates and shells. The power-law distribution model is assumed for the composition of the constituent materials in the thickness direction. The procedure adopted to derive the finite element formulation contains the analytical through-the-thickness integration inherently. Such formulation accounts for the large gradient of the material properties of FG plates and shells through the thickness without using the Gauss points in the thickness direction. The explicit through-the-thickness integration becomes possible due to the proper decomposition of the material properties into the product of a scalar variable and a constant matrix through the thickness. The nonlinear heat-transfer equation is solved for thermal distribution through the thickness by the Rayleigh-Ritz method. According to the results, the formulation accounts for the nonlinear variation in the stress components through the thickness especially for regions with a variation in martial properties near the free surfaces. Springer-Verlag Berlin Heidelberg, 2005 Functionally graded materials nationallicence Finite element method nationallicence Plates and shells nationallicence Thermoelastic analysis nationallicence Naghdabadi R. Department of Mechanical Engineering, Sharif University of Technology, P.O. Box: 11365-9567, Tehran, Iran aut Kordkheili S. A. Hosseini Department of Aerospace Engineering, Sharif University of Technology, P.O. Box: 11365-9567, Tehran, Iran aut Archive of Applied Mechanics Springer-Verlag 74/5-6(2005-03-01), 375-386 0939-1533 74:5-6<375 2005 74 419 https://doi.org/10.1007/s00419-004-0359-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-004-0359-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kordkheili S. A. Hosseini Department of Aerospace Engineering, Sharif University of Technology, P.O. Box: 11365-9567, Tehran, Iran aut NATIONALLICENCE 700 1- Naghdabadi R. Department of Mechanical Engineering, Sharif University of Technology, P.O. Box: 11365-9567, Tehran, Iran aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 74/5-6(2005-03-01), 375-386 0939-1533 74:5-6<375 2005 74 419 NATIONALLICENCE 700 1- Hosseini Kordkheili S. Department of Aerospace Engineering, Sharif University of Technology, P.O. Box: 11365-9567, Tehran, Iran aut NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02637037 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer