• DocumentCode
    1543720
  • Title

    Discrete Magneto-Elasticity: A Geometrical Approach

  • Author

    Bossavit, Alain

  • Author_Institution
    LGEP, Univ. Paris-Sud, Gif-sur-Yvette, France
  • Volume
    46
  • Issue
    8
  • fYear
    2010
  • Firstpage
    3485
  • Lastpage
    3491
  • Abstract
    We show that magnetism and elasticity have very similar mathematical structures when fields are considered as differential forms of adequate nature. The same discretization principles and techniques that succeeded in electromagnetism, notably the use of edge elements, then lead to a manageable form of coupled elasto-magnetic problems.
  • Keywords
    elasticity; electromagnetism; magnetostriction; discrete magneto-elasticity; discretization principles; edge elements; electromagnetism; mathematical structures; Current density; Displays; Elasticity; Electromagnetic coupling; Magnetic field induced strain; Magnetoelasticity; Magnetostatics; Magnetostriction; Tensile stress; Vectors; Elasticity; Tonti diagrams; magnetostriction; strain; stress; vector-valued differential forms;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/TMAG.2010.2043346
  • Filename
    5513017