Abstract

Nonlinear Sound Wave Propagation in 2-D Hysteretic Medium

I.B.Esipov, O.B.Ovchinnikov (N.N. Andreyev Acoustics Institute, Moscow, Russia)

e-mail: ibesipov@akin.ru

Numerous experimental and theoretical researches show hysteresis of mesoscale structures essentially changes nonlinear properties of the media. Usually one-dimensional structures are regarded. Computer simulation of finite amplitude sound wave propagation in 2-D medium with random mesoscale hysteresis has been done. It is shown that hysteresis process leads to 2-D fractal formation in the medium structure under cyclic sound excitation. Slow dynamics effect related to the fractal formation has been investigated. Nonlinear acoustic response up to the first three harmonics of the primary signal was considered with the fractal structure development.

Section : 3