An isogeometric approach of static and free vibration analyses for porous FG nanoplates

This paper presents porosity-dependent analysis of functionally graded nanoplates, which are made of two kinds of porous materials, based on isogeometric approach for the first time. Material properties of the nanoplates are described by using a modified power-law function. The Eringen's nonlocal elasticity is used to capture the size effects. Using the Hamilton's principle, the governing equations of the porous FG nanoplates using the higher order shear deformation theory are derived. The obtained results demonstrate the significance effect of nonlocal parameter, material composition, porosity factor, porosity distributions, volume fraction exponent and geometrical parameters on static and free vibration analyses of nanoplates.This paper presents porosity-dependent analysis of functionally graded nanoplates, which are made of two kinds of porous materials, based on isogeometric approach for the first time. Material properties of the nanoplates are described by using a modified power-law function. The Eringen's nonlocal elasticity is used to capture the size effects. Using the Hamilton's principle, the governing equations of the porous FG nanoplates using the higher order shear deformation theory are derived. The obtained results demonstrate the significance effect of nonlocal parameter, material composition, porosity factor, porosity distributions, volume fraction exponent and geometrical parameters on static and free vibration analyses of nanoplates.A