Electroelastic waves in a finitely deformed electroactive material

Alois Dorfmann, Ray W. Ogden

Research output: Contribution to journalArticle

54 Citations (Scopus)

Abstract

In this paper, the coupling between a finite deformation and an electric field is examined with particular reference to the propagation of small amplitude waves in a non-linear electroelastic material based on the quasi-electrostatic approximation. The general equations governing the linearized response of electroelastic solids superimposed on a state of finite deformation in the presence of an electric field are derived along with incremental forms of the electroelastic constitutive laws and boundary conditions. Both unconstrained and incompressible materials are considered. Without restriction on the electroelastic constitutive law, the theory is first applied to the analysis of plane waves propagating in a homogeneously deformed material with an underlying uniform electric field and illustrated in the case of an isotropic material. The general equations governing 2D incremental motions are then derived and applied to the study of surface waves in a homogeneously deformed half-space of incompressible isotropic material with the electric field normal to the surface of the half-space. The dependence of the wave speed on the deformation, the electric field and the electromechanical coupling parameters is illustrated for a prototype electroelastic constitutive law.
Original languageEnglish
Pages (from-to)603-636
Number of pages34
JournalIMA Journal of Applied Mathematics
Volume75
Issue number4
Early online date21 Apr 2010
DOIs
Publication statusPublished - Aug 2010

Fingerprint

Electric Field
Electric fields
Constitutive Law
Finite Deformation
Half-space
Governing equation
Electromechanical Coupling
Electromechanical coupling
Wave Speed
Surface Waves
Plane Wave
Electrostatics
Surface waves
Boundary conditions
Prototype
Propagation
Restriction
Motion
Approximation

Keywords

  • electroelastic waves
  • electroacoustics
  • surface waves
  • non-linear electroelasticity
  • finite deformation

Cite this

Electroelastic waves in a finitely deformed electroactive material. / Dorfmann, Alois; Ogden, Ray W.

In: IMA Journal of Applied Mathematics, Vol. 75, No. 4, 08.2010, p. 603-636.

Research output: Contribution to journalArticle

Dorfmann, Alois ; Ogden, Ray W. / Electroelastic waves in a finitely deformed electroactive material. In: IMA Journal of Applied Mathematics. 2010 ; Vol. 75, No. 4. pp. 603-636.
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