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Three-dimensional asymptotic approach to inhomogeneous and laminated piezoelectric plates

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TLDR
In this paper, an asymptotic theory for anisotropic inhomogeneous and laminated piezoelectric plates on the basis of three-dimensional linear PDEs is developed.
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This article is published in International Journal of Solids and Structures.The article was published on 2000-06-01. It has received 77 citations till now. The article focuses on the topics: Plate theory & Differential equation.

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Citations
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Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate

TL;DR: In this paper, an exact three-dimensional analysis for a functionally gradient piezoelectric material rectangular plate that is simply supported and grounded along its four edges is presented, assuming that the mechanical and electric properties of the material have the same exponent-law dependence on the thickness coordinate.
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Three-Dimensional Solutions of Smart Functionally Graded Plates

TL;DR: In this paper, the authors considered the bending of a functionally graded rectangular plate with an attached piezoelectric actuator and obtained a three-dimensional asymptotic solution.
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A review on the three-dimensional analytical approaches of multilayered and functionally graded piezoelectric plates and shells

TL;DR: Wu et al. as discussed by the authors presented an overview of various 3D analytical approaches for the analysis of multilayered and functionally graded (FG) piezoelectric plates and shells.
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Exact three-dimensional solutions of laminated orthotropic piezoelectric rectangular plates featuring interlaminar bonding imperfections modeled by a general spring layer

TL;DR: In this paper, the bending and free vibration of an imperfectly bonded orthotropic piezoelectric rectangular laminates were investigated using a three-dimensional state-space approach.
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Exact solution of a compositionally graded piezoelectric layer under uniform stretch, bending and twisting

TL;DR: In this article, the compositional responses of compositionally graded piezoelectric layers are analyzed for uniform mechanical loads, including stretch, bending and twisting, and numerical results to show the effects of different compositional gradients are presented.
References
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Journal ArticleDOI

Use of piezoelectric actuators as elements of intelligent structures

TL;DR: In this paper, a scaling analysis is performed to demonstrate that the effectiveness of actuators is independent of the size of the structure and evaluate various piezoelectric materials based on their effectiveness in transmitting strain to the substructure.
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Exact solutions for rectangular bidirectional composites and sandwich plates

TL;DR: In this article, three-dimensional elasticity solutions for rectangular laminates with pinned edges are constructed for three dimensional elasticity problems, including a sandwich plate, and compared to the analogous results in classical laminated plate theory.
Book

Mechanics of laminated composite plates : theory and analysis

J. N. Reddy
TL;DR: In this paper, the authors present a one-dimensional analysis of fiber-reinforced composite materials and their properties, including the properties of the components of a Lamina and their relationship with other components.
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Exact solutions for composite laminates in cylindrical bending

TL;DR: In this article, the limitations of classical laminated plate theory are investigated by comparing solutions of several specific boundary value problems in this theory to the corresponding theory of elasticity solutions, and it is shown that conventional plate theory leads to a very poor description of laminate response at low span-to-depth ratios.