In this study, the free vibration analysis of a functionally graded (FG) micro-beam with tapered cross-section is carried out theoretically. The beam has material distribution according to power law throughout thickness. governing equation reduced an ordinary differential for cross-sectional geometry whose width varies exponentially. Vibrations microbeams were analyzed analytically in elastic v...

Abstract: In the present article, a semi-analytical technique to investigate free bending vibration behavior of axially functionally graded non-prismatic Timoshenko beam subjected to a point force at both ends is developed based on the power series expansions. The beam is assumed to be made of linear elastic and isotropic material with constant Poisson ratio. Material properties including the ...

Abstract Vibration analysis of functionally graded (FG) microbeams carrying a moving mass is carried out in the framework Timoshenko beam theory. The material properties are considered to be thickness by power-law function, and they estimated Mori-Tanaka scheme. influence microsize effect captured with aid modified couple stress theory (MCST). A finite element formulated used establish discreti...

Compositionally graded combinatorial films have been characterized by a high throughput automated spectroscopic reflectometer. The data from this instrument were used to map the thickness and index of refraction of the compositionally varying films. Combinatorial films produced by dual-beam, dual-target pulsed laser deposition and characterized with the reflectometer include the BaTiO3–SrTiO3 s...

An optically illuminated micron-scale dielectric sphere can generate a photonic nanojet - a nonresonant propagating beam phenomenon of high amplitude, narrow waist, and substantial sensitivity to the presence of nanometer-scale particles and geometric features located within the beam. Via three-dimensional finite-difference time-domain computational electrodynamics modeling of illuminated grade...

In the present study, compositionally-graded structures of AISI 316L and CoCrMo alloy are manufactured by powder-based laser-beam directed energy deposition (DED-LB). Through a process-integrated adjustment powder flow, in situ alloying two materials becomes feasible. Thus, sharp smooth transition with mixture both alloys can be realized. order to investigate phase formation during alloying, si...

Buckling analysis of a functionally graded (FG) nanobeam resting on two-parameter elastic foundation is presented based on third-order shear deformation beam theory (TOSDBT). The in-plane displacement of TOSDBT has parabolic variation through the beam thickness. Also, TOSDBT accounts for shear deformation effect and verifies stress-free boundary conditions on upper and lower faces of FG nanobea...

This article presents Navier type closed-form solutions for static bending, elastic buckling and free vibration analysis of symmetric functionally graded (FG) sandwich beams using a hyperbolic shear deformation theory. The beam has FG skins and isotropic core. Material properties of FG skins are varied through the thickness according to the power law distribution. The present theory accounts fo...

First time, an analytical two-dimensional (2D) elasticity solution for arbitrarily supported axially functionally graded (FG) beam is developed. Linear gradation of the material property along the axis of the beam is considered. Using the strain displacement and constitutive relations, governing partial differential equations (PDEs) is obtained by employing Ressiner mixed var...

In this article, the thermo-elastic behavior of a functionally graded simple blade subjected to the mechanical and thermal loadings is presented, applying a semi-analytical method and a variable thickness cantilever beam model. A specific temperature gradient is employed between the root and the edges of the beam. It is assumed that the mechanical and thermal properties are longitudinal directi...