The Phases and Amplitudes of Electromagnetic Fields Excited
by Torsional Waves in Ferromagnetic Rods As Functions
of the Applied Magnetic Field

V. G. Kuleev, E.V. Kuznetsov, S.V. Zhakov, and V.D. Yablokov

Institute of Metal Physics, Ural Division, Russian Academy of Sciences,
ul. S. Kovalevskoi 18, Ekaterinburg, 620219 Russia

Received September 24, 1996; in final form, December 9, 1996

Abstract—Alternating electromagnetic fields excited by torsional elastic waves inside and outside a conduct-
ing ferromagnetic rod are considered, and their dependence on the external dc magnetic field is calculated. In
the case of weak skin effect, the phase of the fields e_z, , and is related to the ac permeability via a simple
expression and may be used for determining the (H₀) dependence. The H₀ dependence of the field amplitudes
is uniquely determined by a function f(H₀), which is linearly proportional to the magnetostriction constant h_zz.
This fact allows determination of h_zz from the amplitudes of e_z, , and in isotropic polycrystalline steels
at arbitrary magnitude of the Villari effect. In the case of a strong skin effect, the relationship between the ampli-
tudes and phases of the fields, on the one hand, and and h_zz, on the other hand, is more complicated, so that
the error in determining these quantities from experimental data is larger.

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