The analog equation integral formulation for plane piezoelectric media

被引：2

作者：

Fam, George S. A. ^{[1
]}

Rashed, Youssef F. ^{[2
,3
]}

Katsikadelis, John T. ^{[4
]}

机构：

[1] British Univ Egypt, Fac Engn, Dept Mech Engn, Cairo, Egypt

[2] Cairo Univ, Fac Engn, Supreme Council Univ Egypt, Deputy Secretary Gen Off, Giza, Egypt

[3] Cairo Univ, Fac Engn, Dept Struct Engn, Giza, Egypt

[4] Natl Tech Univ Athens, Acad Athens, Dept Civil Engn, Off Theorit & Appl Mech, GR-15773 Athens, Greece

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2015年 / 51卷

关键词：

Analog Equation Method; Boundary Element Method; Piezoelectric media; Transversely isotropic; FUNDAMENTAL-SOLUTIONS; ELASTOSTATIC PROBLEM; BEM; MEMBRANES;

D O I：

10.1016/j.enganabound.2014.10.013

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the two-dimensional piezoelectricity is modelled using a boundary integral formulation based on its corresponding Analog Equation. The problem is transformed into three uncoupled Poisson's equations with unknown fictitious body forces terms. The multiquadric radial basis function is used to approximate the fictitious body forces in the particular solutions. The problem is solved by satisfying the governing differential operator and the boundary conditions. A scaling process is used to enhance the numerical behaviour of the obtained system of equations. The formulation is mathematically simpler than formerly proposed BEM formulations and its validity, applicability and accuracy are demonstrated through various numerical examples. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：199 / 212

页数：14

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