Bending-torsional behavior analysis using a refined beam theory

Abstract

Abstract: In this paper, the bending-torsional behavior analysis of a functionally graded material (FGM) cantilever beam (I-section) was studied using a high-order theory, called refined beam theory (RBT) based on the 3D solution of Saint-Venant(SV). This theory takes into account the effects of edges to describe a larger three-dimensional solution inside the beam. The model includes a set of deformations that reflect the mechanical behavior of the FGM beam, in order to describe a larger three-dimensional solution inside the beam (Poisson's effects, out-of-plane warpings, and distortions). These deformations are related to both the shape and materials of the section. To study this beam and apply this theory, an easy-to-use tool called Cross-Section and Beam analysis (CSB) was used. The Young's modulus of an FGM cantilever beam varies through-thickness by the power-law distribution. The results obtained were compared with those obtained with the 3D/SV solution.

Mots-clefs: FGM, bending, torsional, power-law, Young's modulus