Evaluation of geometrically nonlinear and elastoplastic behavior of functionally graded plates under mechanical loading-unloading

Mechanics Of Advanced Materials And Structures, cilt.0, ss.1-50, 2020 (SCI Expanded İndekslerine Giren Dergi)

Geometrically nonlinear and elastoplastic behavior of a circular FGM plate under

mechanical loading-unloading condition is investigated employing threedimensional

FEM modeling. The through-thickness material distribution of the

FGM plate is defined by a power-law variation. The elastic mechanical properties

and the elastoplastic material behavior of the FGM plate described respectively

by the Mori–Tanaka scheme and the TTO (Tamura–Tomota–Ozawa) model are

implemented in the FEM model. The FEM model is validated presenting a very

good agreement with the studies from the literature. The influences of

nonlinearity, especially the elastoplastic and elastoplastic with geometrically

nonlinear behavior, load parameter and thickness-to-radius ratio in terms of

nonlinearity, and material composition on the mechanical behavior of the FGM

plate are examined. The FEM results are evaluated in terms of the permanent

central deflection and the plastic equivalent stress distributions of the FGM plate.

The results indicate that a considerable difference occurs between the

elastoplastic and elastoplastic with geometrically nonlinear behavior of the FGM

plate in terms of both the permanent central deflection and the plastic equivalent

stress distributions except ceramic-rich composition that has almost a linearelastic

material behavior, and the geometrical nonlinearity becomes an important

parameter with increasing load parameter and decreasing thickness-to-radius

ratio. The combination of geometrical and material nonlinearities exhibits a

significant influence on the nonlinear mechanical behavior of the FGM plate

under plastic deformation.