The aim of this paper is the determination of the equivalent anisotropy properties of polycrystalline magnetic materials, modeled as an assembly of monocrystalline grains with a stochastic spatial distribution of easy axes. The theory of Γ-convergence is here adopted to homogenize the anisotropic contribution in the energy functional and derive the equivalent anisotropy properties. The reliability of this approach is investigated focusing on the computation of the static hysteresis loops of polycrystalline magnetic thin films, starting from the numerical integration of the Landau–Lifshitz–Gilbert equation

Determination of the equivalent anisotropy properties of polycrystalline magnetic materials: Theoretical aspects and numerical analysis / Bottauscio, Oriano; Piat, Valeria Chiadò; Eleuteri, Michela; Lussardi, Luca; Manzin, Alessandra. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - 23:(2013), pp. 1217-1233. [10.1142/S0218202513500073]

Determination of the equivalent anisotropy properties of polycrystalline magnetic materials: Theoretical aspects and numerical analysis

ELEUTERI, Michela;
2013

Abstract

The aim of this paper is the determination of the equivalent anisotropy properties of polycrystalline magnetic materials, modeled as an assembly of monocrystalline grains with a stochastic spatial distribution of easy axes. The theory of Γ-convergence is here adopted to homogenize the anisotropic contribution in the energy functional and derive the equivalent anisotropy properties. The reliability of this approach is investigated focusing on the computation of the static hysteresis loops of polycrystalline magnetic thin films, starting from the numerical integration of the Landau–Lifshitz–Gilbert equation
2013
23
1217
1233
Determination of the equivalent anisotropy properties of polycrystalline magnetic materials: Theoretical aspects and numerical analysis / Bottauscio, Oriano; Piat, Valeria Chiadò; Eleuteri, Michela; Lussardi, Luca; Manzin, Alessandra. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - 23:(2013), pp. 1217-1233. [10.1142/S0218202513500073]
Bottauscio, Oriano; Piat, Valeria Chiadò; Eleuteri, Michela; Lussardi, Luca; Manzin, Alessandra
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1083341
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact