Initial Excited State and Divergence of Wave Beams as Factors Responsible for the Realization of the Wave Process that Controls the Growth of Transformation Twins


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In the dynamic theory of martensitic transformations the wave mechanism of growth of martensite crystals is controlled by the overlap of wave beams of quasi-longitudinal (or longitudinal) waves that carry deformation of the “tension–compression” type in orthogonal directions. The appearance of wave beams is considered a consequence of the appearance of the initial excited (vibrational) states. The presence of the transformation twins is interpreted as the result of the matched propagation of relatively long-wave (???? waves) and short-wave (s waves) displacements. With the aid of the Fourier transforms, an analysis was performed of the influence of the diffraction divergence of a pair of orthogonal wave beams on the formation of a region of their superposition, including the limiting case of narrow beams with one of the transverse dimensions of the front less than λ/2, where λ is the wavelength. The connection of the distribution of the amplitudes of spatial harmonics with the configuration of the initial excited state is discussed.

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M. Kashchenko

Ural Federal University Named after the First President of Russia B.N. Yeltsin; Ural State Forestry University

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Email: mpk46@mail.ru
俄罗斯联邦, Ekaterinburg, 620002; Ekaterinburg, 620100

N. Kashchenko

Ural Federal University Named after the First President of Russia B.N. Yeltsin

Email: mpk46@mail.ru
俄罗斯联邦, Ekaterinburg, 620002

V. Chashchina

Ural Federal University Named after the First President of Russia B.N. Yeltsin; Ural State Forestry University

Email: mpk46@mail.ru
俄罗斯联邦, Ekaterinburg, 620002; Ekaterinburg, 620100

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