WIAS Preprint No. 3009, (2023)

On forward and inverse uncertainty quantification for a model for a magneto mechanical device involving a hysteresis operator


Authors

  • Clemente, Carmine Stefano
  • Davino, Daniele
  • Klein, Olaf
    ORCID: 0000-0002-4142-3603
  • Visone, Ciro

2020 Mathematics Subject Classification

  • 47J40 60H30

Keywords

  • Hysteresis, uncertainty quantification (UQ), magnetostrictive material, Bayesian inverse problems (BIP)

DOI

10.20347/WIAS.PREPRINT.3009

Abstract

Modeling real world objects and processes one may has to deal with hysteresis effects but also with uncertainties. Following D. Davino, P. Krejčí, and C. Visone: Fully coupled modeling of magneto-mechanical hysteresis through `thermodynamic' compatibility. Smart Mater. Struct., 22(9), (2013) 0950099, a model for a magnetostrictive material involving a generalized Prandtl- Ishlinskiĭ-operator is considered here. Using results of measurements, some parameters in the model are determined and inverse Uncertainty Quantification (UQ) is used to determine random densities to describe the remaining parameters and their uncertainties. Afterwards, the results are used do perform forward UQ and to compare the results with measured data. This extends some of the results from O. Klein, D. Davino, and C. Visone. On forward and inverse uncertainty quantification for models involving hysteresis operators. Math. Model. Nat. Phenom. 15 (2020) 53.

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