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...