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Clemente, Carmine Stefano [Author]; Davino, Daniele [Author]; Klein, Olaf [Author]; Visone, Ciro [Author]

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

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  • Media type: Text; Report; E-Book
  • Title: On forward and inverse uncertainty quantification for a model for a magneto mechanical device involving a hysteresis operator
  • Contributor: Clemente, Carmine Stefano [Author]; Davino, Daniele [Author]; Klein, Olaf [Author]; Visone, Ciro [Author]
  • imprint: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2023
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.3009
  • Keywords: 60H30 ; Nonlinear material models ; Hysteresis operators and rate-independent systems ; multifunctional materials and hysteresis in connection with elasto-plastic processes ; 47J40 ; article ; Statistische Inferenz
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: 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.
  • Access State: Open Access