Theoretical formulation, Naviers solutions of rectangular plates based on a new
higher order shear deformation model are presented for the static and dynamic analysis of
functionally graded plates (FGPs). This theory enforces traction free boundary conditions at
plate surfaces. Shear correction factors are not required because a correct representation of
transverse shearing strain is given. Unlike any other theory, the number of unknown functions
involved is only four, as against five in case of other shear deformation theories. The
mechanical properties of the plate are assumed to vary continuously in the thickness direction
by a simple power-law distribution in terms of the volume fractions of the constituents.
Numerical illustrations concern flexural behavior of FG plates with MetalCeramic
composition. Parametric studies are performed for varying ceramic volume fraction, volume
fraction profiles, aspect ratios and length to thickness ratios. Results are verified with
available results in the literature. It can be concluded that the proposed theory is accurate and
simple in solving the static and dynamic behavior of functionally graded plates.
Keywords: functionally graded material; power law index; volume fraction; higher-order shear deformation theory; Navier solution
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