Analytical and Isogeometric Modeling for Bending Analysis of FG and FGCNTRC Plates

Abstract

In this study the bending problem for functionally graded plates is addressed using closed form and numeric solutions. Two types of functionally graded plates are considered namely the functionally graded plates with two phases and functionally graded carbon nanotube reinforced composite plates. Framework of the analysis is laid using the displacement fields from the inverse hyperbolic shear deformation theory. Principle of virtual work and Lagrange equations are used to formulate the governing equations. Linear stress and strain relations and generalised Hook’s law are used in the formulation. Results for values of deflection and stress are validated by comparing them with the established results from the literature. Effect of factors like power law index, span to thickness, aspect ratio, volume fraction and degree of curve in case of numeric analyses are considered.