Interaction of Acoustic Waves in The Media with Quadratically Bimodular Nonlinearity

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-f...

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Bibliographic Details
Published inRadiophysics and quantum electronics Vol. 61; no. 6; pp. 426 - 435
Main Authors Nazarov, V. E., Kiyashko, S. B.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2018
Springer Nature B.V
Subjects
Astronomy
Astrophysics and Astroparticles
Cracks
Elastic scattering
Equations of state
Hadrons
Heavy Ions
Lasers
Mathematical and Computational Physics
Nuclear Physics
Observations and Techniques
Optical Devices
Optics
Perturbation methods
Photonics
Physics
Physics and Astronomy
Quantum Optics
Theoretical
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Summary: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.
ISSN:0033-8443
1573-9120
DOI:10.1007/s11141-018-9904-5