Self-switching of a transverse plane wave propagating through a two-component elastic composite |
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| Authors: | J J Rushchitsky E V Savel’eva |
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| Institution: | (1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv |
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| Abstract: | The paper discusses the results of theoretical and numerical analysis of the interaction of nonlinear elastic plane harmonic
waves in a composite material whose nonlinear properties are described by modeling it with a two-phase mixture. The interaction
of two transverse vertically polarized harmonic waves is studied using the method of slowly varying amplitudes. The truncated
and evolutionary equations as well as the Manley-Rowe relations are derived. The mechanism of energy pumping from a strong
pumping wave with frequency ω to a weak signal wave with frequency 3ω is analyzed. The switching mechanism for hypersonic
waves in a nonlinear elastic composite is similar to the switching mechanism observed in transistors
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 7, pp. 35–46, July 2007. |
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| Keywords: | self-switching pumping and signal waves nonlinear elastic mixture interaction of two transverse plane harmonic waves method of slowly varying amplitudes truncated and evolutionary equations Manley-Rowe relations |
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