Title :
Discrete Magneto-Elasticity: A Geometrical Approach
Author_Institution :
LGEP, Univ. Paris-Sud, Gif-sur-Yvette, France
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2043346
