A mesh-free method based on moving least squares approximation (MLS)  and weak form of governing equations including two dimensional equations of motion and Maxwell’s equation is used to analyze the free vibration of functionally graded piezoelectric material (FGPM) beams. Material properties in beam are determined using a power law distribution. Essential boundary conditions are imposed by the...

In this paper, the analytical solution of an electric and Volterra edge dislocation in a functionally graded piezoelectric (FGP) medium is obtained by means of complex Fourier transform. The system is subjected to in-plane mechanical and electrical loading. The material properties of the medium vary exponentially with coordinating parallel to the crack. In this study, the rate of the gradual ch...

in this paper, finite element elastic contact analysis of a functionally graded (fg) hollow brake disk in contact with pad, subjected to rotation, contact pressure and frictional heat is presented. the material properties vary through the thickness according to a power-law characterised by a grading index, n. the material property is purely steel at the core part and gradually moves and approac...

this work presents thermoplastic analysis of fg rotating diskswith variable thickness and constant angular velocity. the solutions are obtained by variable material property (vmp) theory. in this theory, the domain is divided into some finite sub-domains in the radial direction, in which the properties are assumed to be constant and the form of the elastic response is used to solve elastic-plas...

The analytical solution of functionally graded piezoelectric hollow cylinder which is under radial electric potential and non-axisymmetric thermo-mechanical loads, are presented in this paper. Using complex Fourier series and estimation of power law for variations of material characterizations through the thickness, the electro thermo mechanical behavior of the FGPM cylinder is obtained. The st...

in this paper, a general solution for torsion of hollow cylinders made of functionally graded materials (fgm) was investigated. the problem was formulated in terms of prandtl’s stress and, in general, the shear stress and angle of twist were derived. variations in the material properties such as young’s modulus and poisson’s ratio might be arbitrary functions of the radial coordinate. various m...

the current study presents a new analytical method for buckling analysis of circular plates with constant thickness and poisson’s ratio, made of functionally graded material subjected to radial load. governing equations are based on energy method for thin plates. the boundary conditions of the plate are assumed to be simply supported and clamped. the stability equations were obtained by using c...