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The residual stress-tensor components in amorphous ferromagnetic wire produced by an 'in-rotating-water' spinning process are calculated on the basis of the theory of viscoelasticity. The viscoelastic behaviour of the solidifying wire near the point of vitrification is studied and the effect of the relaxation process on the residual quenching stresses is clearly elucidated. The radial dependence of the residual stress-tensor components obtained is consistent with the magnetic behaviour of amorphous wire with small negative saturation magnetostriction. The residual stress amplitude is investigated as the function of wire radius and the parameters of the cooling process.

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