On magnetoacoustic waves in finitely deformed elastic solids

Michel Destrade , Ray W. Ogden

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

In this paper, in the context of the quasi-magnetostatic approximation, we examine incremental motions superimposed on a static finite deformation of a magneto-elastic material in the presence of an applied magnetic field. Explicit expressions are obtained for the associated magneto-acoustic (or magneto-elastic moduli) tensors in the case of an incompressible isotropic magneto-elastic material, and these are then used to study the propagation of incremental plane waves. The propagation condition is derived in terms of a generalized acoustic tensor and the results are illustrated by obtaining explicit formulas in two special cases: first, when the material is undeformed but subject to a uniform bias field and, second for a prototype model of magneto-elastic interactions in the finite deformation regime. The results provide a basis for the experimental determination of the material parameters of a magneto-sensitive elastomer from measurements of the speed of incremental waves for different pre-strains, bias magnetic fields, and directions of propagation.
Original languageEnglish
Pages (from-to)594-604
Number of pages11
JournalMathematics and Mechanics of Solids
Volume16
Issue number6
Early online date8 Mar 2011
DOIs
Publication statusPublished - Aug 2011

Fingerprint

Finite Deformation
Elastic Material
Propagation
Acoustics
Tensor
Magnetic Field
Tensors
Magnetostatics
Elastomers
Elastic Modulus
Magnetic fields
Plane Wave
Explicit Formula
Prototype
Motion
Elastic moduli
Approximation
Interaction
Model
Context

Keywords

  • magneto-acoustics
  • magneto-elastic waves
  • finite elasticity
  • acoustic tensor

Cite this

On magnetoacoustic waves in finitely deformed elastic solids. / Destrade , Michel; Ogden, Ray W.

In: Mathematics and Mechanics of Solids, Vol. 16, No. 6, 08.2011, p. 594-604.

Research output: Contribution to journalArticle

Destrade , Michel ; Ogden, Ray W. / On magnetoacoustic waves in finitely deformed elastic solids. In: Mathematics and Mechanics of Solids. 2011 ; Vol. 16, No. 6. pp. 594-604.
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