Propagation of flexural waves in inhomogeneous plates exhibiting hysteretic nonlinearity: Nonlinear acoustic black holes.
Theory accounting for the influence of hysteretic nonlinearity of micro-inhomogeneous material on flexural wave in the plates of continuously varying thickness is developed. For the wedges with thickness increasing as a power law of distance from its edge strong modifications of the wave dynamics with propagation distance are predicted. It is found that nonlinear absorption progressively disappearing with diminishing wave amplitude leads to complete attenuation of acoustic waves in most of the wedges exhibiting black hole phenomenon. It is also demonstrated that black holes exist beyond the geometrical acoustic approximation. Applications include nondestructive evaluation of micro-inhomogeneous materials and vibrations damping.
LUNAM Universités, CNRS, Université du Maine, LAUM UMR-CNRS 6613, Av. O. Messiaen, 72085 Le Mans, France. Electronic address: vitali.goussev@univ-lemans.fr.
Vitalyi E
VE
Gusev
School of Electronic Engineering and Optoelectronic Techniques, Nanjing University of Science and Technology, Nanjing 210094, People's Republic of China. Electronic address: chenyin.ni@njust.edu.cn.
Chenyin
C
Ni
Prokhorov General Physics Institute, RAS, 119991 Moscow, Russian Federation. Electronic address: lom@kapella.gpi.ru.
Alexey
A
Lomonosov
School of Sciences, Nanjing University of Science and Technology, Nanjing 210094, People's Republic of China. Electronic address: shenzh@njust.edu.cn.
Zhonghua
Z
Shen
Acoustic black hole; Flexural waves; Hysteretic nonlinearity; Nonlinear absorption; Nonlinear waves