in this paper, a general solution for torsion of hollow cylinders made of functionally graded materials (fgm) was investigated. the problem was formulated in terms of prandtl’s stress and, in general, the shear stress and angle of twist were derived. variations in the material properties such as young’s modulus and poisson’s ratio might be arbitrary functions of the radial coordinate. various m...

In this article, an exact levy solution is presented for bending analysis of a functionally graded (FG) annular sector plate. The governing equilibrium equations are obtained based on the classical plate theory. Introducing an analytical method for the first time, the three coupled governing equilibrium equations are replaced by an independent equation in term of transverse deflection. This equ...

This paper presents the governing equations and analytical solutions of classical shear deformation theories functionally graded axisymmetric circular plates. The classical, first-order, third-order are presented, accounting for through-thickness variation two-constituent material, modified couple stress effect, von Kármán nonlinearity. Analytical bending linear theories, some which not readily...

in this paper, free vibration of functionally graded rectangular simply supported thick plates based on two variable refined plate theory is presented. according to a power-law distribution, the mass density and elasticity modulus of the plate are considered to vary while poisson’s ratio is constant. in order to extract the five constitutive equations of motion, hamilton principle is employed. ...

A semi-analytical method is used to study the effects of the multi vibration absorbers on the nonlinear functionally graded (FG) Euler-Bernoulli beam subjected to periodic load. The material properties of the beam are assumed to be continuously graded in the thickness direction. The governing equations of functionally graded beam are obtained based on the Hamilton's principle and these equation...

Thermal buckling behavior of functionally graded Euler-Bernoulli beams in thermal conditions is investigated analytically. The beam with material and thermal properties dependent on the temperature and position is considered. Based on the transformed-section method, the functionally graded beam is considered as an equivalent homogeneous Euler-Bernoulli beam with an effective bending rigidity un...

in this study, the analysis of transient thermoelastic response of a functionally graded (fg) non-axisymmetric viscoelastic cylinder is presented. the material properties are assumed to be time- dependent and radially and circumferentially non-homogeneous. the finite element (fe) formulations of the thermoelastic problem are obtained using the virtual work method and all the coupling terms are ...