Determination of the elastic constants of anisotropic solids from acoustic-wave group-velocity measurements

1990 ◽  
Vol 42 (13) ◽  
pp. 8196-8205 ◽  
Author(s):  
A. G. Every ◽  
Wolfgang Sachse
Keyword(s):  
Acoustic Wave ◽  
Group Velocity ◽  
Elastic Constants ◽  
Wave Group ◽  
Velocity Measurements

Acoustic Phase Velocity Measurements along General Directions in Non-Isotropic Crystals. I. Elastic Properties of Monoclinic K3Co(CN)6

1971 ◽  
Vol 49 (12) ◽  
pp. 1597-1605 ◽  
Author(s):  
T. H. Chou ◽  
S. L. McBride ◽  
N. Rumin
Keyword(s):  
Elastic Constants ◽  
Experimental Error ◽  
Acoustic Velocity ◽  
Acoustic Energy ◽  
Perturbation Calculation ◽  
Velocity Measurements ◽  
Phase Velocities ◽  
Low Symmetry ◽  
Acoustic Phase

The complete elastic constants tensor of monoclinic potassium cobalticyanide [K3Co(CN)6] has been determined from measured ultrasonic phase velocities. These were obtained as a function of direction in several crystal planes by measuring the acoustic energy reflection coefficient at a liquid–solid interface as a function of angle and plane of incidence. The measurements were made at 27.6 MHz in p-xylene at 21.5 °C. The elastic constants were determined using an existing perturbation method. Velocities calculated from the derived elastic constants are in agreement with the measured velocities to within experimental error and the approximations in the perturbation calculation. The usefulness of this method for the determination of the elastic constants of low symmetry crystals is thus established. The Debye temperature of K3Co(CN)6 is estimated from the results to be 290 ± 10 °K with a corresponding mean acoustic velocity of 2560 ± 80 m/s.

scholarly journals Brillouin scattering determination of the surface acoustic wave velocity in InxGa1−xN: A probe into the elastic constants

2012 ◽  
Vol 101 (6) ◽  
pp. 062103 ◽  
Author(s):  
R. J. Jiménez-Riobóo ◽  
R. Cuscó ◽  
R. Oliva ◽  
N. Domènech-Amador ◽  
C. Prieto ◽  
...  
Keyword(s):  
Acoustic Wave ◽  
Surface Acoustic Wave ◽  
Wave Velocity ◽  
Elastic Constants ◽  
Brillouin Scattering ◽  
Acoustic Wave Velocity

Corrosion thickness gauging in plates using Lamb wave group velocity measurements

2001 ◽  
Vol 12 (8) ◽  
pp. 1287-1293 ◽  
Author(s):  
F Jenot ◽  
M Ouaftouh ◽  
M Duquennoy ◽  
M Ourak
Keyword(s):  
Group Velocity ◽  
Lamb Wave ◽  
Wave Group ◽  
Velocity Measurements ◽  
Thickness Gauging

DETERMINATION OF THE ELASTIC CONSTANTS OF ANISOTROPIC SOLIDS FROM GROUP VELOCITIES MEASURED IN SYMMETRY DIRECTIONS

1996 ◽  
Vol 10 (02) ◽  
pp. 235-246 ◽  
Author(s):  
KWANG YUL KIM ◽  
ARTHUR G. EVERY ◽  
WOLFGANG SACHSE
Keyword(s):  
Group Velocity ◽  
Elastic Constants ◽  
Symmetry Axis ◽  
Symmetry Plane ◽  
Orthorhombic Symmetry ◽  
Easy Method ◽  
Novel Method ◽  
Complete Set ◽  
Wave Normal

We present in this article a novel method of determining all three elastic constants of cubic crystals from a single broadband waveform propagating in the [001] direction. The method can be easily extended to media of orthorhombic symmetry whose symmetry plane quasitransverse (QT) group velocity sheet is folded across the symmetry axis. The usefulness of these formulas lies in providing a very convenient and easy method of determining all the elastic constants of a medium from the rays propagating in the principal symmetry directions of the medium. Particular emphasis is given to the so-called oblique-mode QT rays with group velocity lying along a symmetry axis but with wave normal lying away from that axis in a symmetry plane. Through the use of these oblique modes the need to make off-axis measurements to obtain a complete set of elastic constants is circumvented. Moreover, we describe a method of clarifying the ambiguity that arises; with which symmetry plane is the wave normal of an oblique-mode QT ray propagating in the symmetry axis associated. Further, we show how the effect of a finite rise time source can be corrected for in the determination of a mixed index elastic constant.

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