Dynamics of Plane Strains in Heteromodular Isotropic Elastic Media

Dudko, O. V.; Mantsybora, A. A.

doi:10.1134/s199047892101004x

Cited by 2 publications

(1 citation statement)

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“…Quite a lot of studies have been devoted to the study of nonlinear propagation of longitudinal elastic waves in bimodular solids without dispersion (and without taking into account reflection from gaps) [8][9][10][11][12][13][14][15][16][17]. In such media, the nonlinear propagation mode occurs only for heteropolar waves, and unipolar single pulses propagate linearly, with constant but different velocities depending on their polarity.…”

Section: Introductionmentioning

confidence: 99%

Elastic waves in media with bimodular nonlinearity taking into account the effects of reflection from shock fronts

V.E.

2022

Technical Physics

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A theoretical study of the propagation of longitudinal strong low-frequency and weak high-frequency elastic waves in non-dispersing solids with a bimodular nonlinearity is carried out, taking into account the effects of reflection from the shock fronts of the wave. Expressions are obtained for the waveform, as well as for the amplitudes, frequencies, and phases of the harmonic components of the perturbation reflected from the discontinuities of the nonlinear wave. Numerical and graphical analysis of the obtained solutions is carried out. It is noted that the experimental study of the effects of wave reflection from discontinuities can be used to determine the nonlinear parameter of the bimodular solids. Keywords: longitudinal elastic waves, bimodular nonlinearity, shock waves, reflection from a discontinuity.

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