Shock wave evolution into strain solitary wave in nonlinearly elastic solid bar

Analysis of longitudinal strain wave evolution in polystyrene waveguides using digital holography and spectral decomposition

“…2(d) demonstrates higher contribution of high-frequency (short-period) components in the beginning of the waveguide, and an increase in the relative contribution of low-frequency components in the course of wave propagation along the waveguide. These results are in a good agreement with our previous findings 15,16 related to evolution the shock wave into bulk strain soliton in the nonlinearly elastic bar. In those studies a significantly faster decay of short-wavelength (high-frequency) components was demonstrated with typical decay constant of about α ≈ 0.25 mm −1 was observed both in numerical modeling and experiments.…”

“…In a number of our previous studies we reported the possibility to generate and detect bulk strain solitary waves in polymer waveguides made of polystyrene, polymethylmethacrylate and polycarbonate. [12][13][14][15][16] Besides direct detection of bulk strain solitary waves in transparent waveguides, an opportunity of indirect analysis of their major parameters was demonstrated in opaque polymer-based nanocomposite materials. 17 The importance of such studies is due to both (1) potential unexpected generation of such waves in constructional elements which may destroy the whole structure and (2) potential applications of these waves in nondestructive testing.…”

“…The major characteristics of formed strain waves in waveguides of different shape and made of different materials has been reported in our previous studies, [12][13][14]18 however transformation of the initial shock wave into a long strain solitary wave is of significant interest as well and is not yet understood clearly. In a recent research 16 we studied variations of the major parameters of the strain wave in the course of its propagation in the polystyrene waveguide, namely wave amplitude, FWHM, slopes of the leading and trailing edges. Special attention was paid to the initial stages of wave evolution in the beginning of the waveguide.…”