Swaminathan, K.Naveenkumar, D.T.2026-02-052013International Journal of Earth Sciences and Engineering, 2013, 6, 4, pp. 633-6379745904https://idr.nitk.ac.in/handle/123456789/26689This paper presents the complete theoretical formulation and the analytical solutions for stress analysis of functionally graded material (FGM) plates using First-order Shear Deformation Theory (FSDT). The material properties are assumed to be isotropic along the plane of the plate and vary through the thickness according to the power law function. The governing equations of equilibrium are derived using Principle of Minimum Potential Energy (PMPE) and the analytical solutions are obtained in closed-form using Navier's solution technique. The effect of variation of side-to-thickness ratio, modulus of elasticity ratio, edge ratio and the power law function on the behaviour of the plate is studied. Numerical results are presented for the transverse displacement, the in-plane and the transverse stresses. © 2013 CAFET-INNOVA TECHNICAL SOCIETY.First-order modelsFirst-order shear deformation theoryFunctionally graded material (FGM)Functionally graded platesNavier's methodPower-law functionsPrinciple of minimum potential energyTransverse displacementsFunctionally graded materialsMathematical techniquesStress analysisPlates (structural components)analytical methodcomputer simulationdisplacementelastic modulusNavier-Stokes equationspotential energystress analysis