  In this paper, the linear free flexural vibrations of functionally graded
material plates with a through center crack is studied using an 8-noded shear
flexible element. The material properties are assumed to be temperature
dependent and graded in the thickness direction. The effective material
properties are estimated using the Mori-Tanaka homogenization scheme. The
formulation is developed based on first-order shear deformation theory. The
shear correction factors are evaluated employing the energy equivalence
principle. The variation of the plates natural frequency is studied considering
various parameters such as the crack length, plate aspect ratio, skew angle,
temperature, thickness and boundary conditions. The results obtained here
reveal that the natural frequency of the plate decreases with increase in
temperature gradient, crack length and gradient index.
