Numerical simulation of evolution of magnetic microstructure in Heusler alloys

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$^\circ$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.