Cubically Nonlinear Waves in a Piezoelastic Material |
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Authors: | Rushchitsky J. J. Sinchilo S. V. Khotenko I. N. |
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Affiliation: | (1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev |
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Abstract: | The paper proposes a new deformation model of piezomaterials that includes linear, quadratic, and cubic, and piezoeffect mechanisms. A nonlinear system of equations describing the propagation of plane waves is derived. Two new problems are solved analytically: generation of the third harmonic of an SH-wave and generation and interaction of new SH- and SV-waves after SH- and SV-waves are excited. All data needed for computer modeling are determined. The results of computer modeling are discussed |
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Keywords: | piezopowder piezoelasticity cubically nonlinear wave theory wave evolution third harmonic computer modeling |
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