Paper Title
STATIC ANALYSIS OF FGMS BEAM USING A REFINED 1D BEAM THEORY

Abstract
Abstract – This paper studies the problem of the static behavior of a beam made of functionally graded materials (FGMs)using a refined 1D beam theory (RBT) based on the 3D solution of Saint-Venant. This theory involves a group of 3D displacement modes of the cross-sectional (CS) reflecting its mechanical behaviour: these cross-sectional modes are derived from the 3D Saint Venant (SV) solution. These CS modes lead to a 1D beam model that is consistent with the nature of the cross-sectional in terms of its shape and materials. The numerical strategy to apply this theory is based on an initial set of CS problems solved by 2D FEM computations, then the beam problem is solved by 1D FEM computations according to the RBT displacement model. The material properties of the FGM beam change by a power-law distribution in order to consider the continuous variation of its constituents across the thickness.The results obtained by using a refined beam theory showed a high performance in terms of stress and strain fields in FGM beams compared to the literature and some using 3D-FEM. Keywords - FGM, RBT, Cross-Section, Power-Law, FEM.