Abstract
A modified Davidenkov hysteresis equation of the state has been proposed for describing the saturation of the effects of amplitude-dependent internal friction in polycrystalline metals and other solids, which possess imperfect elasticity. Using this equation, an exact analytical solution of the problem of the propagation of a periodic sawtooth wave in media characterized by quadratic hysteresis with nonlinear loss saturation has been obtained. Regularities of variations in the characteristics of a sawtooth wave, such as nonlinear loss, the change in the velocity of the propagation of the wave, and the amplitudes of the higher harmonics of the wave, have been determined. A graphical analysis of the evolution of the shape and the spectral components of the wave has been carried out.
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Original Russian Text © V.E. Nazarov, S.B. Kiyashko, 2016, published in Fizika Metallov i Metallovedenie, 2016, Vol. 117, No. 8, pp. 793–799.
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Nazarov, V.E., Kiyashko, S.B. Modified Davidenkov hysteresis and the propagation of sawtooth waves in polycrystals with hysteresis loss saturation. Phys. Metals Metallogr. 117, 766–771 (2016). https://doi.org/10.1134/S0031918X1608010X
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DOI: https://doi.org/10.1134/S0031918X1608010X