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Finite elements solutions to magnetostriction. - I. Harmonic modelling

Weston, Richard LU and Cedell, Tord LU (1998) In Finite Elements in Analysis and Design 30(3). p.187-196
Abstract
This work deals principally with linear finite element (FEM) modelling of highly magnetostrictive materials. This is accomplished by coupling the Maxwell's equations to the wave equation by using the linearised tensor equations governing magnetostriction. The model in this paper deals with harmonic oscillations and the resulting FE-model is verified against simplified analytical solutions and differences in results are discussed. The magnetic part of the model is based on the reduced scalar potential. This way only a part of the solutions are dependent on the FE-solutions, giving a model which is less sensitive to the placing of the far-field boundary. Further in this work, no interface condition between abruptly changing permeabilities... (More)
This work deals principally with linear finite element (FEM) modelling of highly magnetostrictive materials. This is accomplished by coupling the Maxwell's equations to the wave equation by using the linearised tensor equations governing magnetostriction. The model in this paper deals with harmonic oscillations and the resulting FE-model is verified against simplified analytical solutions and differences in results are discussed. The magnetic part of the model is based on the reduced scalar potential. This way only a part of the solutions are dependent on the FE-solutions, giving a model which is less sensitive to the placing of the far-field boundary. Further in this work, no interface condition between abruptly changing permeabilities has been performed since the relative permeability of the medium examined is about five and the so-called near cancellation errors, which some workers in the field accuse to be due to the reduced scalar potential occur in regions of a high relative permeability. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Finite Elements in Analysis and Design
volume
30
issue
3
pages
187 - 196
publisher
Elsevier
external identifiers
  • scopus:0032142075
ISSN
1872-6925
DOI
10.1016/S0168-874X(98)00010-9
language
English
LU publication?
yes
id
84b35a09-997f-4332-b479-4f964d1c787a (old id 1513089)
date added to LUP
2009-12-22 09:45:38
date last changed
2017-01-01 04:28:28
@article{84b35a09-997f-4332-b479-4f964d1c787a,
  abstract     = {This work deals principally with linear finite element (FEM) modelling of highly magnetostrictive materials. This is accomplished by coupling the Maxwell's equations to the wave equation by using the linearised tensor equations governing magnetostriction. The model in this paper deals with harmonic oscillations and the resulting FE-model is verified against simplified analytical solutions and differences in results are discussed. The magnetic part of the model is based on the reduced scalar potential. This way only a part of the solutions are dependent on the FE-solutions, giving a model which is less sensitive to the placing of the far-field boundary. Further in this work, no interface condition between abruptly changing permeabilities has been performed since the relative permeability of the medium examined is about five and the so-called near cancellation errors, which some workers in the field accuse to be due to the reduced scalar potential occur in regions of a high relative permeability.},
  author       = {Weston, Richard and Cedell, Tord},
  issn         = {1872-6925},
  language     = {eng},
  number       = {3},
  pages        = {187--196},
  publisher    = {Elsevier},
  series       = {Finite Elements in Analysis and Design},
  title        = {Finite elements solutions to magnetostriction. - I. Harmonic modelling},
  url          = {http://dx.doi.org/10.1016/S0168-874X(98)00010-9},
  volume       = {30},
  year         = {1998},
}