Three-dimensional electroelastic analysis of functionally graded piezoelectric plate via state vector approach

Shisheng Fang; Yasuhide Shindo; Fumio Narita; Sen Lin

doi:10.1002/zamm.200510270

Three-dimensional electroelastic analysis of functionally graded piezoelectric plate via state vector approach

Shisheng Fang, Yasuhide Shindo, Fumio Narita, Sen Lin

ENV - Frontier Science for Advanced Environment

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Three-dimensional electroelastic formulation is developed to study the response of functionally graded rectangular piezoelectric structures/plates. The electroelastric properties are assumed to vary linearly and nonlinearly in the thickness direction, and exact expressions for all relevant electroelastic variables are obtained through a state vector methodology. Numerical examples are presented and discussed for simply-supported bi-layer actuators with functionally graded piezoelectric layers under surface and/or internal electric potential loads. The results presented in this paper are important in the design and characterization of functionally graded piezoelectric materials in applications as microelectromechanical systems.

Original language	English
Pages (from-to)	628-641
Number of pages	14
Journal	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume	86
Issue number	8
DOIs	https://doi.org/10.1002/zamm.200510270
Publication status	Published - 2006 Aug 1

Keywords

Bending
Elasticity
Functionally graded piezoelectric materials
Sate vector method
Smart structures

ASJC Scopus subject areas

Computational Mechanics
Applied Mathematics

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abstract = "Three-dimensional electroelastic formulation is developed to study the response of functionally graded rectangular piezoelectric structures/plates. The electroelastric properties are assumed to vary linearly and nonlinearly in the thickness direction, and exact expressions for all relevant electroelastic variables are obtained through a state vector methodology. Numerical examples are presented and discussed for simply-supported bi-layer actuators with functionally graded piezoelectric layers under surface and/or internal electric potential loads. The results presented in this paper are important in the design and characterization of functionally graded piezoelectric materials in applications as microelectromechanical systems.",

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AU - Shindo, Yasuhide

AU - Narita, Fumio

AU - Lin, Sen

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AB - Three-dimensional electroelastic formulation is developed to study the response of functionally graded rectangular piezoelectric structures/plates. The electroelastric properties are assumed to vary linearly and nonlinearly in the thickness direction, and exact expressions for all relevant electroelastic variables are obtained through a state vector methodology. Numerical examples are presented and discussed for simply-supported bi-layer actuators with functionally graded piezoelectric layers under surface and/or internal electric potential loads. The results presented in this paper are important in the design and characterization of functionally graded piezoelectric materials in applications as microelectromechanical systems.

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KW - Sate vector method

KW - Smart structures

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