In the present study, nonlinear free flexural vibration of shear deformable functionally graded ceramic-metal plates in thermal environment is investigated. The material properties of the plates are assumed to be temperature-dependent and graded in the thickness direction according to a power-law distribution in terms of the volume fractions of the constituents. The structural model kinematics assumes the cubically varying in-plane displacement over the entire thickness, while the transverse displacement varies quadratically in order to accomplish the accountability of normal strain and its derivative in calculation of transverse shear strains. The theory also satisfies zero transverse strain conditions at the top and bottom faces of the plate. The geometric nonlinearity is based on Green-Lagrange assumptions and all higher order terms are incorporated in the formulation. A C~0 continuous isoparametric nonlinear finite element with 13 degrees of freedom per node is proposed for the accomplishment of the elastic continuum. Numerical results are highlighted with different parameters, which bring the importance and necessity of the higher order terms in the nonlinear formulations.
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