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Flexible Identification Procedure for Thermodynamic Constitutive Models for Magnetostrictive Materials

Research output: Contribution to journalArticleScientificpeer-review

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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, 2019.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

Rasilo, P, Singh, D, Jeronen, J, Aydin, U, Martin, F, Belahcen, A, Daniel, L & Kouhia, R 2019, 'Flexible Identification Procedure for Thermodynamic Constitutive Models for Magnetostrictive Materials', Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences. https://doi.org/10.1098/rspa.2018.0280

APA

Rasilo, P., Singh, D., Jeronen, J., Aydin, U., Martin, F., Belahcen, A., ... Kouhia, R. (2019). Flexible Identification Procedure for Thermodynamic Constitutive Models for Magnetostrictive Materials. Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences, [20180280]. https://doi.org/10.1098/rspa.2018.0280

Vancouver

Rasilo P, Singh D, Jeronen J, Aydin U, Martin F, Belahcen A et al. Flexible Identification Procedure for Thermodynamic Constitutive Models for Magnetostrictive Materials. Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences. 2019. 20180280. https://doi.org/10.1098/rspa.2018.0280

Author

Rasilo, Paavo ; Singh, Deepak ; Jeronen, Juha ; Aydin, Ugur ; Martin, Floran ; Belahcen, Anouar ; Daniel, Laurent ; Kouhia, Reijo. / Flexible Identification Procedure for Thermodynamic Constitutive Models for Magnetostrictive Materials. In: Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences. 2019.

Bibtex - Download

@article{dd7354ad503744c98dcf792e5143e08a,
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.",
author = "Paavo Rasilo and Deepak Singh and Juha Jeronen and Ugur Aydin and Floran Martin and Anouar Belahcen and Laurent Daniel and Reijo Kouhia",
year = "2019",
doi = "10.1098/rspa.2018.0280",
language = "English",
journal = "Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences",
issn = "1364-5021",
publisher = "Royal Society, The",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Flexible Identification Procedure for Thermodynamic Constitutive Models for Magnetostrictive Materials

AU - Rasilo, Paavo

AU - Singh, Deepak

AU - Jeronen, Juha

AU - Aydin, Ugur

AU - Martin, Floran

AU - Belahcen, Anouar

AU - Daniel, Laurent

AU - Kouhia, Reijo

PY - 2019

Y1 - 2019

N2 - 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.

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.

U2 - 10.1098/rspa.2018.0280

DO - 10.1098/rspa.2018.0280

M3 - Article

JO - Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences

SN - 1364-5021

M1 - 20180280

ER -