FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Longitudinal finite-amplitude wave in nonlinear homogeneous elastic medium. The equations of Landau-Murnaghan |
Guzev M.A., Molotkov I.V. |
2016, issue 2, P. 160-168 |
Abstract |
| High-frequency asymptotic solution of the equations of motion for waves in nonlinear and homogeneous elastic mediumis is obtained, with predominantly longitudinal polarization. The main part of the solution is known from the consideration of the linear problem. The general solution except the main part contains two completely new part describing the excitation of the transverse wave and wave with the double frequency. These effects result in distortion of wave fronts, as well as to the weak attenuation of the primary longitudinal wave along the way. The inclusion of these nonlinear effects are important in the analysis of seismic waves. |
Keywords: longitudinal wave, high frequency asymptotics, transverse wave, a wave with the double frequency |
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References |
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