Theories and analyses of functionally graded circular plates Articles uri icon

publication date

  • July 2021


  • 5 (100166)

International Standard Serial Number (ISSN)

  • 2666-6820


  • This paper presents the governing equations and analytical solutions of the classical and shear deformation theories of functionally graded axisymmetric circular plates. The classical, first-order, and third-order shear deformation theories are presented, accounting for through-thickness variation of two-constituent functionally graded material, modified couple stress effect, and the von Kármán nonlinearity. Analytical solutions for bending of the linear theories, some of which are not readily available in the literature, are included to show the influence of the material variation, boundary conditions, and loads.


  • analytical solutions; circular plates; classical and shear deformation theories; functionally graded structures; modified couple stress; numerical results