Non-linear flexural deflection of sinusoidally corrugated functionally graded panels under thermoelastic loading

Here, the non-linear flexural responses of the functionally graded panel, exposed to uniformly distributed mechanical load and heat conduction, are reported. The panel is assumed to have a single-sided sinusoidal corrugation profile, which is configured using the number of corrugations, wave height and panel length. The panel is composed of metal and ceramic materials with through-the-thickness gradation, where the instantaneous properties are assumed to be temperature/spatial-dependent and governed through power-law based Voigt's micromechanics. A non-linear kinematic model is utilized using the higher-order displacement based Green-Lagrange strain-field. In accordance with Picard's direct-iterative method, the system equation is derived using the minimum total potential energy principle and numerically resolved using iso-parametric finite elements. Mesh refinement and verification tests are conducted to ensure the present model's accuracy and consistency. Also, various parametric cases, which include corrugation profiles, material-distribution and load/support conditions, are considered to illustrate their impact on the linear and the non-linear deflection of sinusoidally corrugated panels.