Flexible identification procedure for thermodynamic constitutive models for magnetostrictive materials

Paavo Rasilo; Deepak Singh; Juha Jeronen; Ugur Aydin; Floran Martin; Anouar Belahcen; Laurent Daniel; Reijo Kouhia

doi:10.1098/rspa.2018.0280

Flexible identification procedure for thermodynamic constitutive models for magnetostrictive materials

Paavo Rasilo^*, Deepak Singh, Juha Jeronen, Ugur Aydin, Floran Martin, Anouar Belahcen, Laurent Daniel, Reijo Kouhia

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

1 Citation (Scopus)

144 Downloads (Pure)

Abstract

We present a novel approach for identifying a multiaxial thermodynamic magneto-mechanical constitutive law by direct bi- or trivariate spline interpolation from available magnetization and magnetostriction data. Reference data are first produced with a multiscale model in the case of a magnetic field and uniaxial and shear stresses. The thermodynamic model fits well to the results of the multiscale model, after which the models are compared under complex multiaxial loadings. A surprisingly good agreement between the two models is found, but some differences in the magnetostrictive behaviour are also pointed out. Finally, the model is fitted to measurement results from an electrical steel sheet. The spline-based constitutive law overcomes several drawbacks of analytical approaches used earlier. The presented models and measurement results are openly available.

Original language	English
Article number	20180280
Number of pages	21
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	475
Issue number	2223
DOIs	https://doi.org/10.1098/rspa.2018.0280
Publication status	Published - 1 Mar 2019
MoE publication type	A1 Journal article-refereed

Keywords

Constitutive laws
Magnetic materials
Magnetoelasticity
Magnetostriction
Splines

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10.1098/rspa.2018.0280

ELEC_Rasilo_etal_Flexible-Identification-Procedure_RSPA_475_2223Final published version, 1.52 MBLicence: CC BY

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1 Finished

ALEM: Additional Losses in Electrical Machines
Lehikoinen, A., Belahcen, A., Upadhaya, B., Osemwinyen, O., Aydin, U., Balasubramanian, A., Arkkio, A., Rasilo, P., Razzaq, M., Nair, D., Shah, S., Hemeida, A. & Rouhi, H.
01/03/2014 → 28/02/2019
Project: EU: ERC grants

Cite this

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title = "Flexible identification procedure for thermodynamic constitutive models for magnetostrictive materials",

abstract = "We present a novel approach for identifying a multiaxial thermodynamic magneto-mechanical constitutive law by direct bi- or trivariate spline interpolation from available magnetization and magnetostriction data. Reference data are first produced with a multiscale model in the case of a magnetic field and uniaxial and shear stresses. The thermodynamic model fits well to the results of the multiscale model, after which the models are compared under complex multiaxial loadings. A surprisingly good agreement between the two models is found, but some differences in the magnetostrictive behaviour are also pointed out. Finally, the model is fitted to measurement results from an electrical steel sheet. The spline-based constitutive law overcomes several drawbacks of analytical approaches used earlier. The presented models and measurement results are openly available.",

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author = "Paavo Rasilo and Deepak Singh and Juha Jeronen and Ugur Aydin and Floran Martin and Anouar Belahcen and Laurent Daniel and Reijo Kouhia",

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language = "English",

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Flexible identification procedure for thermodynamic constitutive models for magnetostrictive materials. / Rasilo, Paavo; Singh, Deepak; Jeronen, Juha; Aydin, Ugur; Martin, Floran ; Belahcen, Anouar; Daniel, Laurent; Kouhia, Reijo.

In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 475, No. 2223, 20180280, 01.03.2019.

Research output: Contribution to journal › Article › Scientific › peer-review

TY - JOUR

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AU - Rasilo, Paavo

AU - Singh, Deepak

AU - Jeronen, Juha

AU - Aydin, Ugur

AU - Martin, Floran

AU - Belahcen, Anouar

AU - Daniel, Laurent

AU - Kouhia, Reijo

N1 - | openaire: EC/FP7/339380/EU//ALEM

PY - 2019/3/1

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AB - We present a novel approach for identifying a multiaxial thermodynamic magneto-mechanical constitutive law by direct bi- or trivariate spline interpolation from available magnetization and magnetostriction data. Reference data are first produced with a multiscale model in the case of a magnetic field and uniaxial and shear stresses. The thermodynamic model fits well to the results of the multiscale model, after which the models are compared under complex multiaxial loadings. A surprisingly good agreement between the two models is found, but some differences in the magnetostrictive behaviour are also pointed out. Finally, the model is fitted to measurement results from an electrical steel sheet. The spline-based constitutive law overcomes several drawbacks of analytical approaches used earlier. The presented models and measurement results are openly available.

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KW - Magnetoelasticity

KW - Magnetostriction

KW - Splines

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Flexible identification procedure for thermodynamic constitutive models for magnetostrictive materials

Abstract

Keywords

Access to Document

ALEM: Additional Losses in Electrical Machines

Cite this