Pseudo-Three-Dimensional Analysis for Functionally Graded Plate Integrated with a Piezoelectric Fiber Reinforced Composite Layer
TL;DR: In this article, a pseudo-three-dimensional method is proposed to investigate static behavior analysis of functionally graded (FG) plate integrated with a piezoelectric fiber reinforced composite (PFRC) layer by the hyperbolic shear and normal deformation theory.
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Abstract: In this paper, a pseudo-three-dimensional method is proposed to investigate static behavior analysis of functionally graded (FG) plate integrated with a piezoelectric fiber reinforced composite (PFRC) layer by the hyperbolic shear and normal deformation theory. The present method is a displacement-based theory which accounts for hyperbolic variation of in-plane displacement field and parabolic variation of transverse displacement field. The linear electrical potential function in the PFRC layer is modeled. The governing equations of present method are derived by the minimum potential energy principle and Navier’s procedure is used to solve the equations. Numerical results are presented to demonstrate the efficiency of the proposed method. The effects of some parameters including material composition, aspect ratios, and applied voltages on the deformations of the plate are investigated. Compared with the available data of numerical method and 3D method, the presented method is more suitable for the smart FG structure.
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Citations
Analytical modeling of laminated composite plates integrated with piezoelectric layer using Trigonometric Zigzag theory
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Senthil S. Vel,Romesh C. Batra +1 more
TL;DR: In this paper, a three-dimensional exact solution for free and forced vibrations of simply supported functionally graded rectangular plates is presented, where suitable displacement functions that identically satisfy boundary conditions are used to reduce equations governing steady state vibrations of a plate to a set of coupled ordinary differential equations, which are then solved by employing the power series method.
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Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique
A. M. A. Neves,António Ferreira,Erasmo Carrera,Maria Cinefra,C.M.C. Roque,Renato Natal Jorge,Cristóvão M. Mota Soares +6 more
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A. M. A. Neves,António Ferreira,Erasmo Carrera,Maria Cinefra,C.M.C. Roque,Renato Natal Jorge,Cristóvão M. Mota Soares +6 more
TL;DR: In this article, an original hyperbolic sine shear deformation theory for the bending and free vibration analysis of functionally graded plates is presented, which accounts for through-the-thickness deformations.
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