Finite element analysis of smart functionally graded plates

Abstract

This paper deals with the derivation of a finite element model for the static analysis of functionally graded (FG) plates integrated with a layer of piezoelectric fiber reinforced composite (PFRC) material. The layer of PFRC material acts as the distributed actuator of the FG plates. The YoungÕs modulus of the FG plate is assumed to vary exponentially along the thickness of the plate while the PoissonÕs ratio is assumed to be constant over the domain of the plate. The finite element model has been verified with the exact solutions for both thick and thin plates. Emphasis has been placed on investigating the effect of variation of piezoelectric fiber angle in the PFRC layer on its actuating capability of the FG plates. The finite element solutions also revealed that the activated PFRC layer is more effective in controlling the deformations of the FG plates when the layer is attached to the surface of the FG plate with minimum stiffness than when it is attached to the surface of the same with maximum stiffness.

Nonlinear finite element analysis of functionally graded plates integrated with patches of piezoelectric fiber reinforced composite

“…It may also be observed from these figures that the magnitude of actuation is less when the patches of PFRC material are attached to the ceramic rich top surface of the FG substrate plate than that when they are attached to the metal rich top surface of the FG plate. Note that similar observation is also reported in case of linear analysis of FG substrate plate integrated with a layer of PFRC material carried out by Ray and Sachade [36,37] corroborating the present finite element model. Thus, the subsequent results are computed considering the location of the patches as described by case 3 of Fig.…”

“…Among those, Ray and Sachade [36] derived the exact solutions for the linear analysis of the simply supported FG plates integrated with a layer of this new PFRC material. Subsequently, they also developed a finite element model for the linear analysis of simply supported FG plates integrated with a layer of this PFRC material [37]. This PFRC material may also be used for the purpose of controlling nonlinear deformations of very light weight smart FG structures.…”

“…32.6 GPa, C 12 = 4.3 GPa, C 22 = 7.2 GPa, C 44 = 1.05 GPa, C 55 = C 66 = 1.29 GPa, e 31 = −6.76 C/m 2 , e 32 = −0.076 C/m 2 .The following simply supported boundary conditions[37] are used to evaluate the numerical results, v 0 = w 0 = y = 0 at x = 0, a and u 0 = w 0 = x = 0 at y = 0, b and the following non-dimensional quantities are used for presenting the results.Q = ps 4 /E m ,x = x /(|p|s 2 ), y = y /(|p|s 2 ) and xy = xy /(|p|s2 ) in which, E m is the Young's modulus of the metal constituent of the FG plate under the ambient temperature (300 K). Recognizing that the constant electric field E z applied across the thickness of the distributed actuators can be given by E z = −V /t p with V being the applied voltage, the numerical results are evaluated with and without applying the voltages to the distributed actuators.…”

An electromechanical higher order model for piezoelectric functionally graded plates

“…Property of piezoelectric fiber reinforced composite is taken as follows (Ray and Sachade 2006b). Quantity Source Tables and Figures.…”

Thermo-Elasticity Solution of Functionally Graded Plates Integrated with Piezoelectric Sensor and Actuator Layers

“…Ray and Sachade [14] derived a finite element model for static analysis of FG plates integrated with a layer of piezoelectric fiber reinforced composite material. With the assumption of variation of the Young's modulus of the FG plate exponentially along the plate thickness while the Poisson's ratio to be constant, they investigated the effect of variation of piezoelectric fiber angle on its actuating capacity of the FGM plates.…”