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arXiv · 1602.04966

Formulation of small-strain magneto-elastic problems

Tuomas Kovanen·Timo Tarhasaari·Lauri Kettunen
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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.

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Tuomas Kovanen, Timo Tarhasaari, Lauri Kettunen. 2016-02-16. Formulation of small-strain magneto-elastic problems. https://arxiv.org/abs/1602.04966

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