On the static deformation of FG sandwich beams curved in elevation using a new higher order beam theory

Abstract

This article presents the static analysis of FG sandwich beams curved in elevation. Navier-type semi-analytical solutions are obtained based on polynomial type fifth order shear and normal deformation theory. The beam has FG skins and isotropic core. Material properties of FG skins are graded in z-direction according to the power-law distribution. The present theory accounts for a fifth-order distribution of axial displacement and fourth-order distribution of transverse displacement. The present theory considers the effect of thickness stretching and gives a realistic variation of transverse shear stress through the thickness of the beam. The governing equations are obtained within the framework of the principle of virtual work. Semi-analytical static solutions for the simply supported FG sandwich beams curved in elevation are obtained using Navier's technique. The beam is subjected to uniformly distributed load. The non-dimensional numerical values for displacements and stresses are obtained for various power-law index and thickness of the core. The present results are found in good agreement with previously published results.

Nonlinear buckling and post-buckling analyses of functionally graded circular shallow arches

“…Additionally; in their subsequent study, Babaei and Eslami 97 examined the snap-through instability and nonlinear vibration characteristics of porous curved FG micro-tubes on a nonlinear elastic foundation. Avhad and Sayyad 98 gave semi-analytic solutions of FG curved sandwich simply-supported beams. Gao et al 99 derived an analytic solution to investigate the snap-through buckling of FG multilayer graphene platelet reinforced nanoarches.…”