An advanced hyperbolic shear deformation plate model for the bending study of functionally graded materials

This study investigates the bending analysis of functionally graded plates using a unique form function. This function accounts for the parabolic transverse shear forces across the plate thickness while satisfying shear stress-free surface conditions. A key advantage of this approach is that it eliminates the need for shear correction factors, allowing for an accurate shear deformation distribution proportional to the plate's thickness. Additionally, compared to previous shear deformation theories, this higher-order shear theory involves fewer unknowns in its formulation. To derive the governing equations for functionally graded plates, the Hamiltonian principle is employed, and Navier’s technique is used to obtain solutions. These methodologies are essential for achieving the desired outcomes. Finally, the findings of this study are presented and compared with previous research results.