in this paper a mesh-free model of the functionally graded material (fgm) plate is presented.  the piezoelectric material as a sensor and actuator has been distributed on the top and bottom of the plate, respectively. the formulation of the problem is based on the classical laminated plate theory (clpt) and the principle of virtual displacements. moreover, the particle swarm optimization (pso) ...

We analyze plane strain static thermoelastic deformations of a simply supported functionally graded (FG) plate by a meshless local Petrov–Galerkin (MLPG) method. Material moduli are assumed to vary only in the thickness direction. The plate material is made of two isotropic randomly distributed constituents and the macroscopic response is also modeled as isotropic. Displacements and stresses co...

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 ...

A hybrid analytical–numerical approach is developed for the determination of strain energy release rates (SERRs) in shear deformable functionally graded plates. two-plate system considered, where plates are thickness direction and a crack exists between two Expressions Mode I II SERRs terms applied loads moments on along with accompanying compliance coefficients. mixity then determined aid cont...

Abstract This article used the strip element method to study dynamics problems of functionally graded plate with variable gradient parameters under harmonic loads. The dynamic model is established by using method, rationality and accuracy theoretical results are verified finite displacement response different also calculated. show that parameters, varies harmonically time, increase fluctuation ...

In this paper, the free vibration characteristics of Sigmoid Functionally Graded Material (S-FGM) Levy-type plates are investigated by developing Dynamic Stiffness Method (DSM) through application Wittrick-Williams algorithm, as solution technique. Kirchoff-Love Plate Theory (KLPT) and Hamilton principle utilised to derive governing equation motion associated natural boundary conditions. Based ...

This paper deals with the determination of displacement function and thermal stresses of a finite length isotropic functionally graded hollow cylinder subjected to uniform temperature field. The solution of the governing thermoelastic equation is obtained, as suggested by Spencer et al. for anisotropic laminates.  Numerical calculations are also carried out for FGM (Functionally graded material...