The Theoretical Analysis of Multi-Layered In-plane Problems for Mechanical and Electrical coupled Piezoelectric Materials
Date Issued
2004
Date
2004
Author(s)
wen-cha, wu
DOI
zh-TW
Abstract
The piezoelectric effect is applied to many engineering applications because it couples the electrical and mechanical fields. Currently, piezoelectric materials are widely used in electromechanical sensors, actuators and electro-optic modulators. Hence a detailed investigation on piezoelectric materials is needed. In this paper, piezoelectric materials with transversely isotropic symmetry that couples the in-plane deformation with the in-plane electric field is studied by mathematical analysis. The geometric configuration of the problems include the infinite plane and the multilayered medium.
The Fourier transform technique are used to analyze the boundary value problem. The analytical solutions presented with function or series forms are dependent on the complexity of the problem. For the general multilayered medium, a numerical inversion of the Fourier transform is used.
The problems of line dislocation in piezoelectric materials are also investigated by analytical method. The image forces exerted on dislocations are given in explicit forms with the aid of Peach-Koehler equation. The stress and electrical fields, and image forces exerted on line dislocations are discussed in detail from numerical calculations.
Subjects
理論
平面問題
壓電
piezoelectric
in-plane problem
Type
thesis
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