The free vibration analysis of rotating functionally graded (FG) nano-beams under an in-plane thermal loading is provided for the first time in this paper. The formulation used is based on Euler-Bernoulli beam theory through Hamilton’s principle and the small scale effect has been formulated using the Eringen elasticity theory. Then, they are solved by a generalized differential quadrature meth...

In this study, static and free vibration analyses of functionally graded (FG) nanocomposite plates, reinforced by wavy single-walled carbon nanotubes (SWCNTs) resting on a Pasternak elastic foundation, were investigated based on a mesh-free method and modified first-order shear deformation theory (FSDT). Three linear types of FG nanocomposite plate distributions and a uniform distribution of wa...

The behaviors of functionally graded (FG) engineering structures are influenced by various parameters, such as the boundary temperature, angular velocity, variations in thickness, weight structure, and loading state. thermo-elastic characteristics FG rotating circular disks under contact forces were investigated. Hooke’s law plane stress problems was applied to derive a pair partial differentia...

The main objective of this study is to design titanium alloy femoral stems with cubic porous structures that will be able reduce stress shielding and promote stem stability. These structure designs were introduced into as homogeneous functionally graded structures. First, the cellular simulated under compressive loading measure yield modulus elasticity for various porosity ranges. Based on sele...

The present work is aimed at analyzing free longitudinal vibrations of nanorods composed a functionally graded (FG) material with deformable boundaries within hardening nonlocal elasticity approach. For this purpose, FG nanorod the ceramic and metal constituents considered to be elastically supported by means axial springs both ends. Then analytical method based on association Fourier sine seri...

In this paper, the acoustic wave motion characteristics of Lamb and SH waves in functionally graded (FG) anisotropic micro/nano-plates are studied based on modified couple stress theory. A higher efficient computational approach, extended Legendre orthogonal polynomial method (LOPM) is utilized to deduce solving process. This does not need solve FG hierarchically, which provides a more realisti...

Abstract The functionally graded plates (FGP) with two new porosity distributions are examined in this paper. In work the plate is modeled using higher-order shear deformation principle. correction variables neglected. To evaluate equations of motion, Hamilton method will be used herein. Therefore, free vibration analysis FG developed work. For porous smart simply-supported sides, natural frequ...

A new analytical approach for nonlinear thermal buckling of Functionally Graded Graphene Platelet Reinforced Composite (FG-GPLRC) circular plates and shallow spherical caps using the first-order shear deformation theory (FSDT) is presented in this paper. The are assumed to be subjected uniformly distributed loads. By applying Galerkin method, relations between load–deflection achieved determine...

The aim of this paper is to determine the critical buckling load for simply supported thin shallow spherical shells made of functionally graded material (FGM) subjected to uniform external pressure. A metal-ceramic functionally graded (FG) shell with a power law distribution for volume fraction is considered, where its properties vary gradually through the shell thickness direction from pure me...