Abstract A modified functionally graded beam theory based on the neutral axis is exploited to investigate natural frequencies of macro/nanobeams. The location of neutral axis is determined, where material properties of FG nanobeams are assumed to vary through the thickness according to a power law. The FG nanobeam is investigated on the basis of the nonlocal Eringen continuum model. The kinematic assumption of nanobeam is proposed according to Euler–Bernoulli beam theory. The finite element method is used to discretize the model and obtain a numerical approximation of the equation of motion. The verification of the model is obtained by comparing the current results with previously published work. Numerical results are presented to show the significance of neutral axis position, the material distribution profile, and nonlocal effect on the fundamental frequencies of nanobeams.

Determination of neutral axis position and its effect on natural frequenciesof functionally graded macro/nanobeams

In the paper,the origin,exploitative flow,current status of material design and prospect of functionally graded materials (FGM) are introduced.The adopting method of FGM design,FGM synthesizing and thermal and mechanical evaluation are discussed in detail.Finally,the developing directions of FGM are analysed.

Functionally Graded Materials

Hygro-thermo-mechanical bending behavior of advanced functionally graded ceramic metal plate resting on a viscoelastic foundation

Static stability analysis of carbon nanotube reinforced polymeric composite doubly curved micro-shell panels

A review of the analysis of sandwich FGM structures

Free vibration and buckling of porous power-law and sigmoid functionally graded sandwich plates using a simple higher-order shear deformation theory

A new porosities distribution is proposed for bending analysis of new model of functionally graded material (FGM) sandwich plates. Material properties of FGM layers are assumed to vary continuously across the plate thickness according to either power-law or sigmoid function in terms of the volume fractions of the constituents. The face layers are considered to be FG across each face thickness while the core is made of a ceramic homogeneous layer. New higher-order deformation theory is proposed to derive the field equations of the FG sandwich plates with simply-supported edge conditions. Numerical results are presented to show the effect of the material distribution, the sandwich plate geometry and the porosity on the deflections and stresses of FG sandwich plates. The accuracy of this theory is ascertained by comparing it with other published results.

https://iopscience.iop.org/article/10.1088/2053-1591/ab0971/pdf

Effect of porosity on the bending analysis of various functionally graded sandwich plates

Nonlocal finite element model for the bending and buckling analysis of functionally graded nanobeams using a novel shear deformation theory

A novel nonlocal strain gradient Quasi-3D bending analysis of sigmoid functionally graded sandwich nanoplates

Thermal buckling of functionally graded sandwich plates are presented in this article. Two common types of FGM sandwich plates, namely, homogeneous face layers with FGM core and FGM face layers with homogeneous core are considered. Material properties and thermal expansion coeﬃcient of FGM layers are assumed to vary continuously through-the-thickness according to a simple power-law distribution in terms of the volume fractions of the constituents. Equilibrium and stability equations of FGM sandwich plate with simply supported boundary conditions are derived using the higher-order shear deformation plate theory. The influence of the plate aspect ratio, the relative thickness, the gradient index, and the thermal loading conditions on the critical buckling temperature of FGM sandwich plates are investigated. The thermal loads are assumed to be uniform, linear, and nonlinear distribution through-the-thickness. A new simple solution for thermal buckling of FGM sandwich plates under nonlinear temperatur...

Ahmed Amine Daikh

Papers

Free vibration and buckling of porous power-law and sigmoid functionally graded sandwich plates using a simple higher-order shear deformation theory

Effect of porosity on the bending analysis of various functionally graded sandwich plates

Nonlocal finite element model for the bending and buckling analysis of functionally graded nanobeams using a novel shear deformation theory

A novel nonlocal strain gradient Quasi-3D bending analysis of sigmoid functionally graded sandwich nanoplates

Thermal buckling analysis of functionally graded sandwich plates