Formulation of small-strain magneto-elastic problems
Mathematical Physics
2016-02-17 v1 math.MP
Abstract
Despite of the topical engineering need and all scientific investments, the mathematical formulation of modeling elastic deformations in magnetic systems is not yet fully established. Often, especially in electrical engineering applications, a model assuming small (infinitesimal) strains seems sufficient. To express such small-strain magneto-elastic problems in a suitable form for discretization methods, we present here a formulation in the framework of differential geometry. The given analysis shows algebraic similarity between small-strain elasticity and magnetism. This suggests that a class of magnetic, elastic, and magneto-elastic problems may be modeled in the same algebraic category, constituting suitable domain for discretizations.
Keywords
Cite
@article{arxiv.1602.04966,
title = {Formulation of small-strain magneto-elastic problems},
author = {Tuomas Kovanen and Timo Tarhasaari and Lauri Kettunen},
journal= {arXiv preprint arXiv:1602.04966},
year = {2016}
}