Size-dependent behaviors of three directional functionally graded shear and normal deformable imperfect microplates

摘要

This work is presented to investigate the structural responses of three directional functionally graded (3D-FG) microplates by using the formulations of the modified couple stress theory (MCST) and finite element method. Their material properties including material length scale parameter (MLSP) are varied in three spatial directions with inclusion of the porosity volume fraction varies through the thickness direction. The governing equations for static, vibration and buckling analysis are derived and solved by conforming element for various boundary conditions. Through numerical examples, effects of variable MLSP and porosity as well as gradient index in spatial directions on the deflections, natural frequencies and buckling loads of 3D-FG porous micro plates are examined.