Static and modal analysis of in plane functionally graded structures using extended kantorovich method

Abstract

First time the elasticity based accurate analytical solutions are presented for static and free vibration analysis of in plane functionally graded composite and piezoelectric structures Modified Hamiltons principle is applied to derive the weak form of coupled governing equations in which stresses and displacements variables acting as primary variables Interface continuity and boundary conditions are satisfied in exact pointwise manners which ensures the same order of accuracy for all the v