Based on fundamental equations of the elasticity theory, a unified higher-order shear deformation theory is developed for bending and free vibration analysis functionally graded (FG) microplates with porosities. The modified strain gradient employed to capture size effects. Bi-directional series hybrid shape functions are used solve problems. Several important effects including thickness-to-mat...

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...

thermo-elasto-plastic analyses of thick-walled spherical tanks made of functionally graded materials are investigated analytically. these tanks are subjected to positive or negative temperature gradient and internal pressure loadings separately or simultaneously. the power law modeling has been used for through-the-thickness variation of mechanical properties. von mises yield criterion and elas...

in this paper, the effects of carbon nanotube (cnt) orientation and aggregation on the static behavior of functionally graded nanocomposite cylinders reinforced by cnts are investigated based on a mesh-free method. the used nanocomposites are made of the straight cnts that are embedded in an isotropic polymer as matrix. the straight cnts are oriented, randomly or aligned or local aggregated int...

in the present paper, an exact solution for transient response of an infinitely long functionally graded thick-walled cylinder subjected to dynamic pressures at the boundary surfaces is presented for arbitrary initial conditions. the cylinder is assumed to have a plane-strain condition and the dynamic pressures are assumed to be imposed uniformly and axisymmetrically on the boundary surfaces. m...

In this research, thermal buckling of thin rectangular plate made of Functionally Graded Materials (FGMs) with linear varying thickness is considered. Material properties are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The supporting condition of all edges of such a plate is simply supported. ...

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...