A novel higher-order trigonometric shear deformation theory for static analysis of porous functionally graded skew plates

Abstract

This study investigates the bending behavior of skew functionally graded material plates to evaluate the influence of skew angle on structural rigidity. This work distinguishes itself by analyzing how varying skew angles influence the bending rigidity of functionally graded material plates. The behavior of skew plates, especially when made of functionally graded materials with continuously varying properties through the thickness, is complex and requires dedicated analysis. In this context, an analytical method is developed to establish a model based on the higher-order shear deformation theory in an oblique coordinate system. Power-law and exponential functions are used to define the material properties of the functionally graded plate, which vary gradually across its thickness. The principle of virtual work is employed to derive the governing equations, which are subsequently solved using the Navier solution method. The proposed model is validated by comparing its results with those available in the literature, confirming the accuracy of the findings. The effect of the skew angle shows a significant improvement in the plate’s rigidity.