Nonlinear electroelastostatics: a variational framework

被引：107

作者：

Bustamante, R. ^{[1
]}

Dorfmann, A. ^{[2
]}

Ogden, R. W. ^{[1
]}

机构：

[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

[2] Tufts Univ, Dept Civil & Environm Engn, Medford, MA 02155 USA

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2009年 / 60卷 / 01期

关键词：

Electroelasticity; nonlinear elasticity; variational principles; smart materials;

D O I：

10.1007/s00033-007-7145-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Different formulations of the constitutive laws and governing equations for nonlinear electroelastic solids are reviewed and two new variational principles for electroelastostatics are introduced. One is based on use of the electrostatic scalar potential and one on the vector potential, combined with the deformation function. In each case Lagrangian forms of the electric variables are used. Their connections with several formulations of nonlinear electroelasticity in the literature are established and some differences highlighted.

引用

页码：154 / 177

页数：24

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