Interaction of Acoustic Waves in The Media with Quadratically Bimodular Nonlinearity


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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.

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V. Nazarov

Institute of Applied Physics of the Russian Academy of Sciences

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Email: nazarov@hydro.appl.sci-nnov.ru
俄罗斯联邦, Nizhny Novgorod

S. Kiyashko

Institute of Applied Physics of the Russian Academy of Sciences

Email: nazarov@hydro.appl.sci-nnov.ru
俄罗斯联邦, Nizhny Novgorod

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