Nonlinear electroelastostatics: a variational framework

Roger Bustamante; Alois Dorfmann; Ray W. Ogden

doi:10.1007/s00033-007-7145-0

Nonlinear electroelastostatics: a variational framework

Roger Bustamante, Alois Dorfmann, Ray W. Ogden

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

116 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 language	English
Pages (from-to)	154-177
Number of pages	24
Journal	Zeitschrift für Angewandte Mathematik und Physik
Volume	60
Issue number	1
DOIs	https://doi.org/10.1007/s00033-007-7145-0
Publication status	Published - Jan 2009

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title = "Nonlinear electroelastostatics: a variational framework",

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.",

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AU - Ogden, Ray W.

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AB - 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.

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DO - 10.1007/s00033-007-7145-0

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JO - Zeitschrift für Angewandte Mathematik und Physik

JF - Zeitschrift für Angewandte Mathematik und Physik

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Nonlinear electroelastostatics: a variational framework

Abstract

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