...
Chapter 10 Acoustic Wavesin Bubbly Soft Media 257
Bin Liang, Ying Yuan, Xin-ye Zou and Jian-chun Cheng
Chapter 11 Inverse Scattering in the Low-Frequency
Region by Using Acoustic Point Sources 293 ... 2011
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Waves in Fluids and Solids, ... viewpoints.
Shear waves (S-wave) are essential in the field of seafloor geotechnical applications as
they propagate in solids. More specifically interface waves and the use of the interface
waves...
... (Stovas&Ursin, 2007).
Acoustic Wavesin Layered Media - From Theory to Seismic Applications
25
1
2
2
2
2
2
Im
cos sin
sin
sin
sin cos Im sin
Im
1
1sin 1
sin
sin sin
sin cos Im sin sin
1
i
D
i
D ... intermediate root defines the critical point
2
C on the lower branch of
the curve (123). The minimum point
1
A
(dividing the triplication domain 1 and 2) is also
Waves in Fluids and Solids
30
0 ...
2 2
12 12 1 2 12
2 2
2 2
12 12 1 2 12
2 2
2
2
21
Re cos sin sin cos cos sin sin
11
21
Im sin cos sin sin cos cos sin
11
2sin
1
rr
a
rr
rr
a
rr
r
b
r
...
... SH wavesin a single-layered (infinite)
plate with different types of boundary conditions by considering a two-layered plate and
taking limits in material properties of one of the contacting ... Lamb waves traveling with the phase speed satisfying
condition (1.1), need in a small amount of energy needed for excitation. Indeed, the specific
kinetic energy is determined by the following ... monoclinic symmetry of the elasticity tensor,
meaning that the elasticity tensor contains 13 independent decomposable components. At
violating conditions (A) or (B), the amplitudes of partial waves...
... observed in the Raman and Brillouin
scattering spectra (Hehlen et al., 2000; Rufflé et al., 2006) and in inelastic neutron scattering
experiments (Buchenau et al., 1984) as maxima in the frequency ... and shows obtained
results in corresponding windows of the program interface (a program is made in a Borland
C++ Builder medium and provides automatic transfer of main results into Excel worksheet). ... J. Šafárik University, Košice
2
B.I.Verkin Institute for Low Temperature Physics and Engineering NASU, Kharkov
1
Slovakia
2
Ukraine
1. Introduction
In recent years, the quasi-particle spectra...
... the elastic
energy alone and we can neglect the plastic strain contribution. Up to linear order, the strain
133
Multiple Scattering of ElasticWavesin Granular Media: Theory and Experiments
Waves ... have to introduce several concepts that are unknown in the classical
theory of linear elasticwavesin homogeneous solids. After a presentation of the Jiang–Liu
model for nonlinear granular elasticity, ... This opens
the possibility to engineer a novel and useful method for investigating the complex response
128
Waves in Fluids and Solids
Waves in Fluids and Solids
116
Kr matrix behaves almost...
... z-coordinate, which in terms of
147
Multiple Scattering of ElasticWavesin Granular Media: Theory and Experiments
Waves in Fluids and Solids
154
2. Acoustic and elasticwaves
Acoustic waves ... (1990). As the starting point, we take the Laplace transform of
139
Multiple Scattering of ElasticWavesin Granular Media: Theory and Experiments
Waves in Fluids and Solids
162
infinite water depth. ... Theory of Elasticity, Butterworth-Heinemann, Oxford,
ISBN-10: 075062633X
151
Multiple Scattering of ElasticWavesin Granular Media: Theory and Experiments
Multiple Scattering of ElasticWavesin Granular...
... of interface waves are discussed. The
techniques for using interface waves to estimate the seabed geoacoustic parameters are
introduced and discussed including signal processing for extracting ... and
direct waves. In the right panel the raw data have been low pass filtered, which brings out
the interface waves. In this case the interface waves appear in the 1.0 - 2.5 s time interval
illustrated ... and the ordinates are the cyclic
frequencies (rad
⋅s
-1
); the solid lines indicate longitudinal waves and the dashed lines
indicate transverse waves. Fig. 5 (a) corresponds to the initial (unfilled)...
...
Waves in Fluids and Solids
200
vibrating molecules. The standing waves are induced in each globule of the crystal. The
pulsating modes arising in the PNC globules are ... kinds of non -elastic
scattering in medium, e.g., the Raman scattering, the Brillouin scattering, the Bragg scattering
etc. In the case of Raman scattering the oscillatory quanta corresponding ... incident radiation
intensity. In the case of missing the mirror 4 (see Fig. 23), the spectrum would contain only
the pattern of single rings caused by the SGS only, as in this case the incident radiation...
... computational domain as defined in equation (21). The
spatial and temporal increments are
25xyz
m and
3
1.0 10t
sec, respectively,
resulting in 3.3 grid points per minimum wavelength ... In other words, when determining these high-order spatial
derivatives included in equation (8) or equation (9), the RK method uses not only the values
(
a
)
(b)
(c)
Waves in Fluids and Solids ... spatial and time increments, where three lines of
E
r
for the second-order
FD method (line —), the fourth-order LWC (line - - - -), and the RK (line ) are shown in a
semi-log scale. In these figures,...
...
Waves in Fluids and Solids
260
Thereby it follows that the energy converted into shear waves is insignificant as the incident
longitudinal wave is scattered by a bubble in soft media. ... implying the supplementary restrictions in its
initial position and velocity. One could say that, within the stability domains, a potential
244
Waves in Fluids and Solids
12 Will-be-set-by -IN- TECH
(a) ... Acoustic localization in bubbly soft media
In this section, we theoretically study the sound propagation in an elastic soft medium
containing a finite number of bubbles by using a self-consistent...
... predominantly coherent. Contrarily, within the
localization region almost all the waves are trapped inside a spatial domain and the
fluctuation of wave field at a spatial point fails in interacting ... strong physical nonlinearity that dominates for a bubbly medium.
Waves in Fluids and Solids
282
should be zero at the beginning, i.e.,
1
20
0
x =
Φ=, one can readily determine the expression ... an individual bubble pulsating in a viscoelastic medium,
on the other hand, the oscillation will be hindered by the friction damping caused by the
viscoelastic solid wall. While the bubble in...
... of Internal Wave Investigations in Lakes on the Globe 24
2.1.1 Introduction 24
2.1.2 Examples of Nonlinear Internal Waves on Relatively
Small Lakes 29
2.1.3 Examples of Nonlinear Internal Waves ... destruction of internal waves in
lakes. Doctoral Dissertation. Institute of Limnology, Leningrad [In Russian]
Koop CG and Butler G (1981) An investigation of internal solitary wavesin a two fluid ... (1952) in Lake Windermere. He described the
response to episodic wind forcing on internal seiches and showed that the main
effect of the wind forcing in a stratified lake is to generate large, basin-scale,...