Abstract
The alloy Mn‐Al‐C (magnetic τ‐phase) has a face‐centered tetragonal lattice with the superstructure L10 (Shangurov, Gornostyrev, Teitel et al., 1990). The tetragonal crystal axes c (the directions of the easy magnetization) of the grain lattices of the polycrystal permanent magnet must be preferably oriented along the magnet axis. In the present paper the forming of the axial extrusion textures in the alloy Mn‐Al‐C is investigated theoretically. The texture inhomogeneity is taken into account by solving the boundary value problem of plasticity.
Highlights
The vector of the common rotation &i in the case of inhomogeneous strain can be found from the boundary value problem of macroscopic plasticity The vector of the additional rotation of the grain lattice t0’ is determined by the acting shear systems and the twin reorientation of the grain lattice
The plastic strain of this crystal occurs with shears on the slip systems 111 }(110), 111 }(10), 111 }(11.) and twin systems 111 }(11.) (Shangurov, Gomostyrev, Teitel et al, 1990)
The vector of grain lattice rotation to;. determined by the acting set of five shear systems and corresponding grain shears is described by the following formula: to, (b/n) a(’ b(") a(’ ),.)
Summary
The alloy Mn-A1-C (magnetic z-phase) has a face-centered tetragonal lattice* with the superstructure. L10 (Shangurov, Gornostyrev, Teitel et al, 1990). The tetragonal crystal axes c (the directions of the easy magnetization) of the grain lattices of the polycrystal permanent magnet must be preferably oriented along the magnet axis. In the present paper the forming of the axial extrusion textures in the alloy Mn-A1-C is investigated theoretically. The texture inhomogeneity is taken into account by solving the boundary value problem of plasticity
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