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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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 61, No. 6, pp. 483–493, June 2018.
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Nazarov, V.E., Kiyashko, S.B. Interaction of Acoustic Waves in The Media with Quadratically Bimodular Nonlinearity. Radiophys Quantum El 61, 426–435 (2018). https://doi.org/10.1007/s11141-018-9904-5
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DOI: https://doi.org/10.1007/s11141-018-9904-5