This paper deals with the determination of displacement function and thermal stresses of a finite length isotropic functionally graded hollow cylinder subjected to uniform temperature field. The solution of the governing thermoelastic equation is obtained, as suggested by Spencer et al. for anisotropic laminates.  Numerical calculations are also carried out for FGM (Functionally graded material...

The classical shell theory, first-order shear deformation theory, and third-order shear deformation theory are employed to study the natural frequencies of functionally graded cylindrical shells. The governing equations of motion describing the vibration behavior of functionally graded cylindrical shells are derived by Hamilton’s principle. Resulting equations are solved using the Navier-type s...

In this work, geometrically nonlinear static bending analysis of sandwich beams with a porous core and two skins made functionally graded materials using mesh-free method is presented. The material types the face sheets beam are chosen so that continuity between layers guaranteed. governing equation including geometric nonlinearity established via principle virtual work. This discretized into s...

Euler, Timoshenko and high shear deformation theories to analyze the free vibration of functionally graded (FG) beam were developed. The mechanical properties this assumed differ in thickness direction according model a power-law distribution. principle Hamilton was used find equations motion. For vibration, analytical solution these presented using Navier method. effect power index, aspect rat...