An accurate higher order displacement model with shear and normal deformations effects for functionally graded plates.

Highlights: [•] We model through-thickness variation of material properties in functionally graded (FG) plates. [•] Effect of material grading index on deformations, stresses and natural frequency of FG plates is studied. [•] Effect of higher order terms in displacement models is studied for plate statics. [•] The benchmark solutions for the static analysis and free vibration of thick FG plates are presented. [ABSTRACT FROM AUTHOR]