Nonlinear electroelastostatics: a variational framework

Roger Bustamante, Alois Dorfmann, Ray W. Ogden

Research output: Contribution to journalArticle

93 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)154-177
Number of pages24
JournalZeitschrift für Angewandte Mathematik und Physik
Volume60
Issue number1
DOIs
Publication statusPublished - Jan 2009

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Electrostatics
formulations
Vector Potential
Formulation
Constitutive Law
variational principles
Variational Principle
Governing equation
Scalar
electrostatics
scalars
Framework
Form

Cite this

Nonlinear electroelastostatics : a variational framework. / Bustamante, Roger; Dorfmann, Alois; Ogden, Ray W.

In: Zeitschrift für Angewandte Mathematik und Physik, Vol. 60, No. 1, 01.2009, p. 154-177.

Research output: Contribution to journalArticle

Bustamante, Roger ; Dorfmann, Alois ; Ogden, Ray W. / Nonlinear electroelastostatics : a variational framework. In: Zeitschrift für Angewandte Mathematik und Physik. 2009 ; Vol. 60, No. 1. pp. 154-177.
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