Email this article Interaction of Acoustic Waves in The Media with Quadratically Bimodular Nonlinearity
- Authors: Nazarov V.E.1, Kiyashko S.B.1
-
Affiliations:
- Institute of Applied Physics of the Russian Academy of Sciences
- Issue: Vol 61, No 6 (2018)
- Pages: 426-435
- Section: Article
- URL: https://journals.rcsi.science/0033-8443/article/view/243895
- DOI: https://doi.org/10.1007/s11141-018-9904-5
- ID: 243895
Cite item
Open Access
Access granted
Subscription Access
Abstract
We obtain the quadratically bimodular equation of state for a rod with cracks on the basis of a model of the crack as an elastic contact of rough surfaces of solids. The perturbation method is used to theoretically study the propagation and interaction of collinear longitudinal elastic (strong low-frequency and weak high-frequency) waves in such media. Expressions for the amplitudes of the secondary waves, namely, the second and the fourth harmonics of the strong wave, the second harmonic of the weak wave, and the combination-frequency waves are obtained.
About the authors
V. E. Nazarov
Institute of Applied Physics of the Russian Academy of Sciences
Author for correspondence.
Email: nazarov@hydro.appl.sci-nnov.ru
Russian Federation, Nizhny Novgorod
S. B. Kiyashko
Institute of Applied Physics of the Russian Academy of Sciences
Email: nazarov@hydro.appl.sci-nnov.ru
Russian Federation, Nizhny Novgorod
Supplementary files
