Bending analysis of functionally graded annular sector plates by extended Kantorovich method
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Date: 2015 Feb 07
Authors: مجتبی شیخی ازغندی
Keywords: A. Plates
B. Elasticity
C. Analytical modeling
Functionally graded materials
The small deflection equation for isotropic and non-homogenous thin annular sector subject to transverse
loading is derived in polar coordinate. The Poisson’s ratio of the plate is assumed to be constant, but the
Young’s modulus varies continuously through the radial direction according to the power-law function. A
closed-form solution with fast convergence rate is obtained using the extended Kantorovich method and
the classical theory of thin plates (Kirchhoff theory). The validity and accuracy of results are examined by
resolving the problem using commercial finite element code ABAQUS and a good agreement between
them is obtained for either deflection or stress resultants.