Optimization of three-dimensional up to yield bending behavior using a full layer-wise theory for FGM rectangular plate subjected to thermo- mechanical loads

For the sake of finding the analytical solution for investigating the yield behavior functionally graded plates exposed to nonuniform thermo-mechanical loads and optimize this behavior, a full Layer-wise theory on the three-dimensional basis is employed in the present study. To offer up the analytical solution, the full Layer-wise theory, and Navier trigonometric series are employed for the displacements field. A power-law function is employed to consider continuous material properties through the thickness of the plate. The plate is exposed to non-uniform mechanical and steady-state thermal loads. The yield behavior of the plate is studied by comparing the von Mises yield criterion in comparison with the TTO (Tamura– Tomato– Ozawa) model and is optimized by applying thermo-mechanical loads to the different surfaces of the plate. It has been shown, the yielding delay happened when the thermo-mechanical loads are subjected to the ceramic surface of the FGM plate, which has been not reported hitherto. Using the ABAQUS simulation, the analytical results of the present study are verified by numerical finite element results. The effects of changing the loading surface, changing the thickness, FGM index, and temperature on the yield behavior of the plate are presented graphically.