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Mathematics > Numerical Analysis

arXiv:2311.02380 (math)
[Submitted on 4 Nov 2023]

Title:On implicit interpolation models for nonlinear anisotropic magnetic material behavior

Authors:Michael Mandlmayr, Herbert Egger
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Abstract:Implicit models for magnetic coenergy have been proposed by Pera et al. to describe the anisotropic nonlinear material behavior of electrical steel sheets. This approach aims at predicting magnetic response for any direction of excitation by interpolating measured of B--H curves in the rolling and transverse directions. In an analogous manner, an implicit model for magnetic energy is proposed. We highlight some mathematical properties of these implicit models and discuss their numerical realization, outline the computation of magnetic material laws via implicit differentiation, and discuss the potential use for finite element analysis in the context of nonlinear magnetostatics.
Subjects: Numerical Analysis (math.NA)
Cite as: arXiv:2311.02380 [math.NA]
  (or arXiv:2311.02380v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.2311.02380

Submission history

From: Michael Mandlmayr [view email]
[v1] Sat, 4 Nov 2023 11:25:31 UTC (263 KB)
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