Static and Free Vibration Analysis of Functionally Graded Skew Plates Using a Four Node Quadrilateral Element

Abstract

In this work, analysis of functionally graded skew plates with different boundary conditions is performed using Modified Improved Discrete Kirchhoff Quadrilateral (MIDKQ) element. The element has seven degrees-of-freedom namely, three displacements, two rotations and two shear strains per node. The plate considered in the study has isotropic, two-constituent material distribution through the thickness. The modulus of elasticity is assumed to vary according to a power-law distribution in terms of the volume fractions of the constituents. Poisson’s ratio is assumed to be constant. The finite element results for various values of the power-law index for non-dimensionalized deflection, stresses and natural frequencies for functionally graded skew plates with different boundary conditions obtained using IDKQ element are compared with the available results in literature and with the results obtained using 20 node solid element of ABAQUS. It is observed that the performance of the MIDKQ element is quite satisfactory for this case also.