Abstract:
A microstructural model of behavior of ferromagnetic material (Heusler alloy) in a magnetic field is constructed within the framework of the theory of micromagnetism. The process dynamics is described by the Landau–Lifshitz–Hilbert equation. The Galerkin procedure is used to assign variational equations to differential relations. A “Christmas Tree” type martensitic structure (twinned version of martensite) with magnetic domains arranged at an angle of 180∘C is considered. The twin boundaries act as 90-degree magnetic domain walls. The evolution of this magnetic structure is investigated, namely the motion and interaction of the 180-degree walls of this magnetic domain in the presence of an external magnetic field applied in different directions. The finite element method simulates the formation of these walls and the magnetization vector distribution in them.
Keywords:
Heusler alloy, micromagnetism, magnetic domains, variational formulation, finite element method.
Citation:
A. A. Rogovoi, O. S. Stolbova, O. V. Stolbov, “Numerical simulation of evolution of magnetic microstructure in Heusler alloys”, Prikl. Mekh. Tekh. Fiz., 62:5 (2021), 195–207; J. Appl. Mech. Tech. Phys., 62:5 (2021), 870–881
\Bibitem{RogStoSto21}
\by A.~A.~Rogovoi, O.~S.~Stolbova, O.~V.~Stolbov
\paper Numerical simulation of evolution of magnetic microstructure in Heusler alloys
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2021
\vol 62
\issue 5
\pages 195--207
\mathnet{http://mi.mathnet.ru/pmtf122}
\crossref{https://doi.org/10.15372/PMTF20210519}
\elib{https://elibrary.ru/item.asp?id=46709912}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2021
\vol 62
\issue 5
\pages 870--881
\crossref{https://doi.org/10.1134/S0021894421050199}
Linking options:
https://www.mathnet.ru/eng/pmtf122
https://www.mathnet.ru/eng/pmtf/v62/i5/p195
This publication is cited in the following 7 articles:
A. A. Rogovoy, O. S. Stolbova, “Microstructural model of the behavior of a ferroalloy with shape memory in a magnetic field”, Mechanics of Advanced Materials and Structures, 31:2 (2024), 387
Anatoli A. Rogovoy, Olga S. Stolbova, “An approach to describe the twinning and detwinning processes of the martensitic structure in ferromagnetic alloy with shape memory in magnetic and force fields”, Mechanics of Advanced Materials and Structures, 2024, 1
A. A. Rogovoi, “Mikrostrukturnaya model protsessov dvoinikovaniya i razdvoinikovaniya martensitnoi fazy v splavakh s pamyatyu formy”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 28:3 (2024), 516–542
Anatoli A. Rogovoy, Olga S. Stolbova, Advanced Structured Materials, 198, Advances in Linear and Nonlinear Continuum and Structural Mechanics, 2023, 397
Anatoli A. Rogovoy, Olga S. Stolbova, “Microstructural Model of Magnetic and Deformation Behavior of Single Crystals and Polycrystals of Ferromagnetic Shape Memory Alloy”, Magnetochemistry, 9:2 (2023), 40
Anatoli Rogovoy, Olga Stolbova, “Comparison of Two Approaches for Microstructural Modeling of the Ferromagnetic Alloys Behavior”, IEEE Magn. Lett., 13 (2022), 1
Anatoli A. Rogovoy, Olga S. Stolbova, “Microstructural Modeling of the Magnetization Process in Ni2MnGa Alloy Polytwin Crystals”, Magnetochemistry, 8:8 (2022), 78