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Journal of the Acoustical Society of America

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Dec 2002

Volume 112, Issue 6, pp. 2493-3090

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Supercritical parametric phase conjugation of ultrasound. Numerical simulation of nonlinear and nonstationary mode

Alain Merlen, Vladimir L. Preobrazhensky, and Philippe Pernod

J. Acoust. Soc. Am. Volume 112, Issue 6, pp. 2656-2665 (2002); (10 pages) | Cited 3 times

Online Publication Date: 05 Dec 2002

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This paper investigates the saturation mechanism of the nonstationary supercritical mode of parametric wave phase conjugation in a magnetostrictive medium. The numerical simulation considers the two most probable nonlinear mechanisms of interaction between elastic deformation and electromagnetic excitation. For the qualitative study of the dynamics of the system, a one-dimensional numerical simulation is sufficient if applied to an infinite medium with a finite active zone. The temporal form of the conjugate wave is obtained for both hypotheses. Comparison with experiments shows that only one mechanism corresponds to the experimental behavior. © 2002 Acoustical Society of America.
Show PACS
43.25.Dc Nonlinear acoustics of solids

Strain wave evolution equation for nonlinear propagation in materials with mesoscopic mechanical elements

Vitalyi Gusev and Vladislav Aleshin

J. Acoust. Soc. Am. Volume 112, Issue 6, pp. 2666-2679 (2002); (14 pages) | Cited 6 times

Online Publication Date: 05 Dec 2002

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Nonlinear wave propagation in materials, where distribution function of mesoscopic mechanical elements has very different scales of variation along and normally to diagonal of Preisach–Mayergoyz space, is analyzed. An evolution equation for strain wave, which takes into account localization of element distribution near the diagonal and its slow variation along the diagonal, is proposed. The evolution equation provides opportunity to model propagation of elastic waves with strain amplitudes comparable to and even higher than characteristic scale of element localization near Preisach–Mayergoyz space diagonal. Analytical solutions of evolution equation predict nonmonotonous dependence of wave absorption on its amplitude in a particular regime. The regime of self-induced absorption for small-amplitude nonlinear waves is followed by the regime of self-induced transparency for high-amplitude waves. The developed theory might be useful in seismology, in high-pressure nonlinear acoustics, and in nonlinear acoustic diagnostics of damaged and fatigued materials. © 2002 Acoustical Society of America.
Show PACS
43.25.Dc Nonlinear acoustics of solids
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