Micromechanical model-based analysis of porous functionally graded plates behavior using refined higher-order theory

This manuscript investigates the impact of porosity and micromechanical models on the flexural behavior of functionally graded plates employing a refined higher order shear and deformation theory. The plate's material properties are supposed to be varying gradually through the direction of the plate's thickness according to different micromechanical models namely: Voigt's model often used in furthermost functionally graded plates researches, Mori Tanaka's, Reuss's and LRVE's models. Virtual works principle is employed to determine the equations of equilibrium and some numerical results are exhibited to validate the accuracy and effectiveness of the present theory for flexural behavior of functionally graded plates. A parametric investigation is conducted to assess the influence of various parameters on the displacements and stresses of the plate including micromechanical models', porosity distribution shape and geometry of the plate. In light of this study we conclude that the present refined theory is efficient accurate and reliable for predicting the flexural behavior of functionally graded plates considering different porosity distribution shapes and various micromechanical models.