caa a22 4500 445811420 CHVBK 20180317145213.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00419-010-0451-6 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0451-6 An analytical solution for buckling of moderately thick functionally graded sector and annular sector plates [Elektronische Daten] [A. Naderi, A. Saidi] In this article, an analytical solution for buckling of moderately thick functionally graded (FG) sectorial plates is presented. It is assumed that the material properties of the FG plate vary through the thickness of the plate as a power function. The stability equations are derived according to the Mindlin plate theory. By introducing four new functions, the stability equations are decoupled. The decoupled stability equations are solved analytically for both sector and annular sector plates with two simply supported radial edges. Satisfying the edges conditions along the circular edges of the plate, an eigenvalue problem for finding the critical buckling load is obtained. Solving the eigenvalue problem, the numerical results for the critical buckling load and mode shapes are obtained for both sector and annular sector plates. Finally, the effects of boundary conditions, volume fraction, inner to outer radius ratio (annularity) and plate thickness are studied. The results for critical buckling load of functionally graded sectorial plates are reported for the first time and can be used as benchmark. Springer-Verlag, 2010 Buckling nationallicence Functionally graded nationallicence Sectorial plates nationallicence Analytical solution nationallicence Naderi A. 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 81/6(2011-06-01), 809-828 0939-1533 81:6<809 2011 81 419 https://doi.org/10.1007/s00419-010-0451-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0451-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Naderi A. 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 81/6(2011-06-01), 809-828 0939-1533 81:6<809 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer