Energy flow of axisymmetric elastic waves in a three-layered, transtropic–isotropic–transtropic, composite cylinder

2004 ◽  
Vol 277 (4-5) ◽  
pp. 1093-1100 ◽  
Author(s):  
J. Kudlička
Keyword(s):  
Elastic Waves ◽  
Energy Flow ◽  
Composite Cylinder

scholarly journals Investigation of the distribution of elastic waves in the composite cylinder with the initial torch

2018 ◽  
Vol 14 (5) ◽  
pp. 404-413
Author(s):  
M.S. Guliyev ◽  
◽  
A.I. Seyfullayev ◽  
J.N. Abdullayeva ◽  
◽  
...  
Keyword(s):  
Elastic Waves ◽  
Composite Cylinder

ELASTIC WAVES IN TRIGONAL CRYSTALS

1961 ◽  
Vol 39 (1) ◽  
pp. 65-80 ◽  
Author(s):  
G. W. Farnell
Keyword(s):  
Elastic Waves ◽  
Energy Flow ◽  
Pure Mode ◽  
Sound Waves ◽  
Propagation Characteristics ◽  
Three Solutions ◽  
Transverse Waves ◽  
Plane Wavefront ◽  
Wave Normal ◽  
Quasi Longitudinal Wave

In non-isotropic single crystals the normals to the wavefronts of elastic waves are not colinear with the vectors representing either the energy flow or the particle displacement. Calculations have been carried out on the propagation characteristics of sound waves in two particular trigonal crystals, α-quartz and sapphire.The development of the eigenvalue equation for the velocity and the formulae for the components of the displacement and energy-flow vectors are summarized. The assumption that the wave has a plane wavefront normal to a given direction leads to three solutions, one representing a quasi-longitudinal wave and the other two representing quasi-transverse waves. The velocities of propagation, directions of displacement, and directions of energy flow for the three waves have been calculated for many orientations of the wave normal. Detailed results for propagation near one of the pure-mode axes are presented.

Antiferromagnetic Conic Refraction of Sound in Hematite

2010 ◽  
Vol 168-169 ◽  
pp. 173-176
Author(s):  
S.A. Migachev ◽  
M.F. Sadykov ◽  
M.M. Shakirzyanov ◽  
D.A. Ivanov
Keyword(s):  
Magnetic Field ◽  
Elastic Waves ◽  
Energy Flow ◽  
Deflection Angle ◽  
Easy Plane ◽  
Magnetoelastic Interaction ◽  
Basis Plane ◽  
Field Dependent ◽  
The Deflection Angle ◽  
The Magnetic Field

In a trigonal easy-plane -Fe2O3 antiferromagnet magnetic-field-dependent conic refraction due to the renormalization of the coefficients of elasticity effective magnetoelastic interaction is experimentally found in addition to the conventional internal conic refraction of the transverse elastic waves propagating along the trigonal C3 axis. It is shown that the deflection angle () of the energy flow from the C3 axis upon the internal conic refraction does not depend on the value of the magnetic field applied in the basis plane (HC3) and is a constant value determined by the correlation of the C14 and C44 coefficients of elasticity. The deflection angle of the energy flow upon the antiferromagnetic conic refraction () increases with increase in the field and tends to the  value at large H values. The obtained results agree well with the theory of this phenomenon in antiferromagnets and support its conclusions.

scholarly journals Acousto-optic devices using acoustic waves refraction

2021 ◽  
Vol 2127 (1) ◽  
pp. 012039
Author(s):  
N V Polikarpova ◽  
I K Chizh
Keyword(s):  
Elastic Waves ◽  
Acoustic Waves ◽  
Energy Flow ◽  
Anisotropic Media ◽  
Generation Process ◽  
Practical Applications ◽  
Technical Parameters ◽  
Acousto Optic Device ◽  
Materials Used ◽  
Flow Propagation

Abstract The methods of acousto-optics provide multiple techniques for controlling optical beam. The technical parameters of corresponding acousto-optic devices are largely determined by the efficiency of acoustic waves generation. In present work we examine the features of elastic waves generation in materials used in acousto-optics. In most of practical applications the elastic wave generation process is implemented through the refraction of elastic waves at the boundary between two anisotropic media. We present a detailed study of the refraction of elastic waves in strongly anisotropic media. We report new refractive effects such as “extraordinary” refraction. In the latter case the change in the direction of the incident acoustic wave does not influence the direction of the energy flow propagation for refracted elastic waves. The configuration of an acousto-optic device using the geometry of unusual refraction in an anisotropic medium is discussed.

Investigation of the energy flow direction of elastic waves in crystals by acoustoelectric probe

1972 ◽  
Vol 14 (1) ◽  
pp. 339-346 ◽  
Author(s):  
A. I. Morozov ◽  
M. A. Zemlyanitsin ◽  
V. I. Anisimkin
Keyword(s):  
Elastic Waves ◽  
Energy Flow ◽  
Flow Direction

scholarly journals Investigation of the energy flow direction of elastic waves in crystals by acoustoelectric probe

1974 ◽  
Vol 24 (1) ◽  
pp. 381-381 ◽  
Author(s):  
A. I. Morozov ◽  
M. A. Zemlyanitsin ◽  
V. I. Anisimkin
Keyword(s):  
Elastic Waves ◽  
Energy Flow ◽  
Flow Direction

On: “Wave propagation and sampling theory” by J. Morlet, G. Arens, E. Fourgean, and D. Giard (GEOPHYSICS, 47, parts I and II, 203–236).

Geophysics ◽  
1984 ◽  
Vol 49 (9) ◽  
pp. 1562-1562
Author(s):  
J. D. Laski
Keyword(s):  
Wave Propagation ◽  
Elastic Waves ◽  
Energy Flow ◽  
Sampling Theory ◽  
Stress Strain ◽  
Flow Vector ◽  
Strain Relationship ◽  
Compressional Velocity

Investigating waves for sedimentary series, Morlet et al. start from basic formulas for elastic waves. I have compared formulas used by Morlet et al. for: (a) compressional velocity of elastic waves, (b) stress‐strain relationship, and (c) energy flow vector (Poynting’s vector), with corresponding formulas in Koehler and Taner (1977). The results follow.

Remarks on nonlinear elastic waves with null conditions

2020 ◽  
Vol 26 ◽  
pp. 121
Author(s):  
Dongbing Zha ◽  
Weimin Peng
Keyword(s):  
Initial Data ◽  
Global Existence ◽  
Elastic Waves ◽  
Wave Equations ◽  
Alternative Proof ◽  
Classical Solutions ◽  
Small Initial Data ◽  
Hyperelastic Materials ◽  
Variational Structure ◽  
Nonlinear Elastic

For the Cauchy problem of nonlinear elastic wave equations for 3D isotropic, homogeneous and hyperelastic materials with null conditions, global existence of classical solutions with small initial data was proved in R. Agemi (Invent. Math. 142 (2000) 225–250) and T. C. Sideris (Ann. Math. 151 (2000) 849–874) independently. In this paper, we will give some remarks and an alternative proof for it. First, we give the explicit variational structure of nonlinear elastic waves. Thus we can identify whether materials satisfy the null condition by checking the stored energy function directly. Furthermore, by some careful analyses on the nonlinear structure, we show that the Helmholtz projection, which is usually considered to be ill-suited for nonlinear analysis, can be in fact used to show the global existence result. We also improve the amount of Sobolev regularity of initial data, which seems optimal in the framework of classical solutions.

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