In this paper, the shape influence of piezoelectric beams including triangle, trapezoid, rectangle, inverted trapezoid, convex parabola, concave parabola, and comb-shaped (a combination of two triangular beams with a connector of 4 mm length) are addressed and analyzed by FEM. The analysis is performed for a bimorph piezoelectric beam. The analyzed parameters include the beam length, thickness ...

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 ...

A new mathematical model of a porous functionally graded micro/nano-beam under the action Casimir force and Coulomb is constructed in this paper. The construction takes into account Euler-Bernoulli kinematic model. dimensional-dependent parameter taken by modified moment theory elasticity. variational, differential equations, boundary initial conditions are derived from Ostrogradsky-Hamiltonian...

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...

In this paper, an analytical method is developed to obtain the solution for the one dimensional transient thermal and mechanical stresses in a hollow cylinder made of functionally graded material (FGM) and piezoelectric layers. The FGM properties are assumed to depend on the variable r and they are expressed as power functions of r but the Poisson’s ratio is assumed to be constant. Transient te...

by virtue of a complete set of two displacement potentials, an analytical derivation of the elastostatic green’s functions of an exponentially graded transversely isotropic bi-material full-space was presented. three-dimensional point-load green’s functions for stresses and displacements were given in line-integral representations. the formulation included a complete set of transformed stress-p...

this article gives an approach to predict the springbackward phenomena during post solidification cooling in a functionally graded hybrid composite cylindrical shell with transverse isotropic structure. here the material properties are considered to be given with a general parabolic power-law function. during theoretical analysis, appropriate transform is introduced in the equilibrium equation ...