the current study presents a new analytical method for buckling analysis of rectangular and annular beams made up of functionally graded materials with constant thickness and poisson’s ratio. the boundary conditions of the beam are assumed to be simply supported and clamped. the stability equations were obtained by using conservation of energy. the critical buckling load and first mode shape we...

Abstract A study of smart functionally graded (FG) beams made carbon nanotube (CNT) reinforced composites combined with piezoelectric materials is presented. The material parameters the composite are assumed to vary along their thickness following extended rule mixture. finite element (FE) model was developed for FG nanotube-reinforced beam materials. This tested against previously published st...

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...

The initiation and propagation of adiabatic shear bands (ASBs) in functionally graded materials (FGMs) deformed at high strain rates in plane-strain tension have been studied. An ASB is a narrow region, usually a few micrometers wide, of intense plastic deformation that forms after softening of the material due to its being heated up and the evolution of damage in the form of porosity has overc...

An overview of the achievements of the German priority program “Functionally Graded Materials (FGM)” in the field of processing techniques is given. Established powder processes and techniques involving metal melts are described, and recent developments in the field of graded polymer processing are considered. The importance of modeling of gradient formation, sintering and drying for the produc...

A fundamental solution (or Green’s function) is a singular solution of a governing partial differential equation (PDE). They can be constructed easily when the PDE has constant coefficients. They are useful for reducing boundary-value problems to boundary integral equations (BIEs). We begin by describing simple properties of fundamental solutions, and then comment on the use and construction of...

Functionally Graded Materials are inhomogeneous elastic bodies whose properties vary continuously with space. Hence consider a halfspace (x2 > 0) occupied by a special Functionally Graded Material made of an hexagonal (6mm) piezoelectric crystal for which the elastic stiffness c44, the piezoelectric constant e15, the dielectric constant ǫ11, and the mass density, all vary proportionally to the ...