Sound Velocity in Stressed Crystals and Third‐Order Elastic Coefficients

1964 ◽  
Vol 36 (5) ◽  
pp. 1041-1041 ◽  
Author(s):  
K. Brugger ◽  
R. N. Thurston
Keyword(s):  
Sound Velocity ◽  
Third Order ◽  
Elastic Coefficients

Third-Order Elastic Coefficients of Crystals

1951 ◽  
Vol 83 (6) ◽  
pp. 1274-1275 ◽  
Author(s):  
Fausto G. Fumi
Keyword(s):  
Third Order ◽  
Elastic Coefficients

Third‐Order Elastic Coefficients of Quartz

1966 ◽  
Vol 37 (1) ◽  
pp. 267-275 ◽  
Author(s):  
R. N. Thurston ◽  
H. J. McSkimin ◽  
P. Andreatch
Keyword(s):  
Third Order ◽  
Elastic Coefficients

ELASTIC AND ACOUSTIC PROPERTIES OF HEXAGONALCr2NbCOMPOUND

2014 ◽  
Vol 02 (03n04) ◽  
pp. 1450001
Author(s):  
PRAMOD KUMAR YADAWA
Keyword(s):  
Sound Velocity ◽  
Room Temperature ◽  
Ultrasonic Attenuation ◽  
Acoustic Properties ◽  
Third Order ◽  
Jones Potential ◽  
Ultrasonic Properties ◽  
Third Order Elastic Constants ◽  
Ultrasonic Sound ◽  
Thermal And Electrical Properties

The ultrasonic properties like ultrasonic sound velocity in the hexagonal structured Cr2Nb compound have been studied along unique axis at room temperature. The second- and third-order elastic constants (SOECs and TOECs) have been calculated for this compound using Lennard–Jones potential. The velocities VLand VS1have minima and maxima respectively with 45° with unique axis of the crystal, while VS2increases with the angle from unique axis. Debye average sound velocities of Cr2Nb have been found to be increasing with the angle and has maximum at 55° with unique axis at room temperature. Hence, when a sound wave travels at 55° with unique axis of this material, then the average sound velocity is found to be maximum. The inconsistent behavior of angle dependent velocities is associated to the action of SOECs. The ultrasonic properties are discussed in correlation with elastic, thermal and electrical properties. It has been found that the thermal conductivity is the main contributor to the behavior of ultrasonic attenuation and the cause of attenuation is phonon–phonon interaction. The mechanical properties of Cr2Nb are better than other chromium-based alloys ( Cr2Ta , Cr2Zr and Cr2Hf ) at room temperature, because it has high ultrasonic velocity and low ultrasonic attenuation.

`Third-order' elastic coefficients

1953 ◽  
Vol 6 (4) ◽  
pp. 331-340 ◽  
Author(s):  
R. F. S. Hearmon
Keyword(s):  
Third Order ◽  
Elastic Coefficients

Second- and third-order elastic coefficients in polycrystalline aluminum alloy AMg6

2015 ◽  
Vol 61 (6) ◽  
pp. 651-656 ◽  
Author(s):  
A. D. Volkov ◽  
A. I. Kokshaiskii ◽  
A. I. Korobov ◽  
V. M. Prokhorov
Keyword(s):  
Aluminum Alloy ◽  
Third Order ◽  
Alloy Amg6 ◽  
Polycrystalline Aluminum ◽  
Aluminum Alloy Amg6 ◽  
Elastic Coefficients

scholarly journals Computations of Ultrasonic Parameters in Alloys

2011 ◽  
Vol 2011 ◽  
pp. 1-7
Author(s):  
Pramod Kumar Yadawa
Keyword(s):  
Sound Velocity ◽  
Elastic Constants ◽  
Room Temperature ◽  
Ultrasonic Attenuation ◽  
Physical Parameters ◽  
Third Order ◽  
Ultrasonic Properties ◽  
Third Order Elastic Constants ◽  
Ultrasonic Parameters

The ultrasonic properties like ultrasonic attenuation, sound velocity in the hexagonal alloys have been studied along unique axis at room temperature. The second- and third-order elastic constants (SOEC & TOEC) have been calculated for these alloys using Lennard-Jones potential. The velocities and have minima and maxima, respectively, at 45° with unique axis of the crystal, while increases with the angle from unique axis. The inconsistent behaviour of angle-dependent velocities is associated to the action of second-order elastic constants. Debye average sound velocities of these alloys are increasing with the angle and has maximum at 55° with unique axis at room temperature. Hence, when a sound wave travels at 55° with unique axis of these alloys, then the average sound velocity is found to be maximum. The mechanical and ultrasonic properties of these alloys will be better than pure Zr and Sn due to their high SOEC and ultrasonic velocity and low ultrasonic attenuation. The comparison of calculated ultrasonic parameters with available theoretical/experimental physical parameters gives information about classification of these alloys.

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