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Original Research
Online Published: 11 Mar 2020
 


Determination of Ultrasonic Velocities Theoretically for Tellurite Glasses Using Makishima and Mackenzie Model

M. S. Gaafar.


Abstract
Makishima and Mackenzie model was used to determine both ultrasonic wave velocities (Longitudinal and Shear) theoretically
for many tellurite glasses. The model is mainly depends on the values of the experimentally measured density. Then, the
problems of determining the measured densities of amorphous glasses (as the density depends on the geometry of the network
structure of these glasses) and the slope of linear regression between the experimentally determined bulk modulus and the
product of packing density and experimental Young's modulus, were solved in this search work. The results showed good
agreement between the experimentally measured values of densities and both ultrasonic wave velocities, and those theoretically
determined.

Key words: Ultrasonic wave velocities; elastic moduli; Makishima & Mackenzie model


 
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Pubmed Style

M. S. Gaafar. Determination of Ultrasonic Velocities Theoretically for Tellurite Glasses Using Makishima and Mackenzie Model. Journal of Engineering and Applied Sciences. 2014; 1(2): 15-22. doi:10.12816/0026293


Web Style

M. S. Gaafar. Determination of Ultrasonic Velocities Theoretically for Tellurite Glasses Using Makishima and Mackenzie Model. https://jecasmu.org/?mno=91788 [Access: September 12, 2024]. doi:10.12816/0026293


AMA (American Medical Association) Style

M. S. Gaafar. Determination of Ultrasonic Velocities Theoretically for Tellurite Glasses Using Makishima and Mackenzie Model. Journal of Engineering and Applied Sciences. 2014; 1(2): 15-22. doi:10.12816/0026293



Vancouver/ICMJE Style

M. S. Gaafar. Determination of Ultrasonic Velocities Theoretically for Tellurite Glasses Using Makishima and Mackenzie Model. Journal of Engineering and Applied Sciences. (2014), [cited September 12, 2024]; 1(2): 15-22. doi:10.12816/0026293



Harvard Style

M. S. Gaafar (2014) Determination of Ultrasonic Velocities Theoretically for Tellurite Glasses Using Makishima and Mackenzie Model. Journal of Engineering and Applied Sciences, 1 (2), 15-22. doi:10.12816/0026293



Turabian Style

M. S. Gaafar. 2014. Determination of Ultrasonic Velocities Theoretically for Tellurite Glasses Using Makishima and Mackenzie Model. Journal of Engineering and Applied Sciences, 1 (2), 15-22. doi:10.12816/0026293



Chicago Style

M. S. Gaafar. "Determination of Ultrasonic Velocities Theoretically for Tellurite Glasses Using Makishima and Mackenzie Model." Journal of Engineering and Applied Sciences 1 (2014), 15-22. doi:10.12816/0026293



MLA (The Modern Language Association) Style

M. S. Gaafar. "Determination of Ultrasonic Velocities Theoretically for Tellurite Glasses Using Makishima and Mackenzie Model." Journal of Engineering and Applied Sciences 1.2 (2014), 15-22. Print. doi:10.12816/0026293



APA (American Psychological Association) Style

M. S. Gaafar (2014) Determination of Ultrasonic Velocities Theoretically for Tellurite Glasses Using Makishima and Mackenzie Model. Journal of Engineering and Applied Sciences, 1 (2), 15-22. doi:10.12816/0026293