In this paper, an exact analytical solution for free vibration of rotating bi-layered cylindrical shell composed of two independent functionally graded layers was presented. The thicknesses of the shell layers were assumed to be equal and constant. The material properties of the constituents of bi-layered FGM cylindrical shell were graded in the thickness direction of the layers of the shell ac...

Abstract In this study, the static bending behaviour of a size-dependent thick beam is considered including FGM (Functionally Graded Materials) effects. The presented theory further development and extension space-fractional (non-local) Euler–Bernoulli model (s-FEBB) to Timoshenko (s-FTB) one by proper taking into account shear deformation. Furthermore, detailed parametric study on influence le...

This article presents a new analysis of the vibration characteristics open-edge cracks for graded moving beams under thermal load. The material property gradient is based on distribution power law in direction beam thickness. equation obtained depending precept Hamilton and resolved by extension Galerkin’s approach. A rotational spring used to represent cracking beam. effects axial velocity, in...

In this study, the buckling behavior of moderately thick Carbon Nano-Tube (CNT)-reinforced spherical composite panels subjected to both uniaxial and biaxial loads is examined. The uniform and various kinds of functionally graded distributions of the CNT are considered. The mechanical properties of the nanocomposite panels are estimated using the modified rule of mixture. Based on the first-orde...

Abstract In this work, the state -space nonlocal strain gradient theory is used for vibration analysis of magneto thermo piezoelectric functionally graded material (FGM) nanobeam. An FGM constituent properties stated by using power law relations. The refined higher order beam and Hamilton’s principle have been to obtain motion equations. Besides, governing equations nanobeam are extracted devel...

The problem of several finite moving cracks in a functionally graded material is solved by dislocation technique under the condition of anti-plane deformation. By using the Fourier transform the stress fields are obtained for a functionally graded strip containing a screw dislocation. The stress components reveal the familiar Cauchy singularity at the location of dislocation. The solution is em...