Theory of magnetostriction in amorphous and polycrystalline ferromagnets

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Abstract
An iterative solution of the magnetoelastic equation of magnetostriction in amorphous and polycrystalline ferromagnets is given. In zeroth order (no fluctuations delta C of the elastic tensor) magnetostriction is totally determined by the strain derivative of the local anisotropy ('conventional' mechanism), and the effective tensor is given by a simple geometrical average over all local values. Inclusion of spatial fluctuations delta C yields modifications of the effective magnetostriction tensor and an additional magnetostriction mechanism ('reorientation' mechanism) characteristic of amorphous and polycrystalline materials.