Analysis of elastic constants and thermal energy of ionic materials

2011 ◽  
Vol 89 (11) ◽  
pp. 1111-1117
Author(s):  
S.K. Srivastava
Keyword(s):  
Bulk Modulus ◽  
Temperature Dependence ◽  
Linear Relationship ◽  
Elastic Constants ◽  
Thermal Energy ◽  
Room Temperature ◽  
Isothermal Bulk Modulus ◽  
Volume Dependence ◽  
Ionic Materials ◽  
Different Temperatures

Expressions for the temperature dependence of elastic constants have been formulated by taking into account volume dependence of the Anderson–Grüneisen parameters. These expressions have been applied to ionic materials such as NaCl, KCl, MgO, and CaO to determine elastic constants at different temperatures. It is found that the linear relationship between isothermal bulk modulus and thermal energy (Eth) is also applicable to other elastic constants. This linear relationship is valid, starting from room temperature.

Temperature dependence of elastic constants using thermal energy for geophysical minerals

2017 ◽  
Vol 31 (13) ◽  
pp. 1750103
Author(s):  
M. Panwar ◽  
S. K. Sharma ◽  
S. Panwar
Keyword(s):  
Experimental Data ◽  
Bulk Modulus ◽  
Temperature Dependence ◽  
Elastic Constants ◽  
Thermal Energy ◽  
Alternative Formulation ◽  
Thermal Pressure ◽  
Limit Formula ◽  
Volume Dependence ◽  
Good Agreement

In this paper, we have developed relationship to predict temperature dependence of elastic constants for geophysical minerals by using a formulation for volume dependence of isothermal Anderson–Grünesien parameter which is valid up to extreme compression limit [Formula: see text] or [Formula: see text]. An alternative formulation based on thermal pressure or thermal energy has also been used for determining elastic constants as a function of temperature. The basic idea used in this study is to generalize the expression of bulk modulus for determining temperature dependence of elastic constants. The results thus obtained for MgO, CaO, Mg2SiO4 and Al2O3 from the two different methods are very close to each other and also experimental data. The good agreement reveals the validity of the formulations given in this study.

Temperature Dependences of the Elastic Constants of Precipitation-Hardened Aluminum Alloys 2014 and 2219

1977 ◽  
Vol 99 (2) ◽  
pp. 181-184 ◽  
Author(s):  
D. T. Read ◽  
H. M. Ledbetter
Keyword(s):  
Aluminum Alloys ◽  
Shear Modulus ◽  
Bulk Modulus ◽  
Temperature Dependence ◽  
Elastic Properties ◽  
Elastic Constants ◽  
Ultrasonic Pulse ◽  
Young’S Moduli ◽  
Temperature Dependences ◽  
Sound Velocities

Elastic properties of precipitation-hardened aluminum alloys 2014 and 2219 were studied between 4 and 300 K using ultrasonic pulse techniques. Both the longitudinal and transverse sound velocities were measured. Also reported are the Young’s modulus, shear modulus, bulk modulus, and Poisson’s ratio. For both alloys, the Young’s moduli are about ten percent higher than for unalloyed aluminum, and they increase about ten percent on cooling from 300 to 4 K. All the elastic constants show normal temperature dependence.

scholarly journals Elastic, Mechanical and Thermophysical properties of Single-Phase Quaternary ScTiZrHf High-Entropy Alloy

2021 ◽  
Vol 22 (4) ◽  
pp. 687-696
Author(s):  
Sachin Rai ◽  
Navin Chaurasiya ◽  
Pramod K. Yadawa
Keyword(s):  
Mechanical Properties ◽  
Elastic Constants ◽  
Room Temperature ◽  
Single Phase ◽  
Mechanical Characterization ◽  
Ultrasonic Attenuation ◽  
High Entropy Alloy ◽  
High Entropy ◽  
Different Temperatures ◽  
Ultrasonic Parameters

Consequent to the interaction potential model, the high-order elastic constants at high entropy alloys in single-phase quaternary ScTiZrHf have been calculated at different temperatures. Elastic constants of second order (SOECs) helps to determine other ultrasonic parameters. With the help of SOECs other elastic moduli, bulk modulus, shear modulus, Young’s modulus, Pugh’s ratio, elastic stiffness constants and Poisson’s ratio are estimated at room temperature for elastic and mechanical characterization. The other ultrasonic parameters are calculated at room temperature for elastic and mechanical characterization. The temperature variation of ultrasonic velocities along the crystal's z-axis is evaluated using SOECs. The temperature variation of the  average debye velocity and the thermal relaxation time (τ) are also estimated along this orientation axis. The ultrasonic properties correlated with elastic, thermal and mechanical properties which is temperature dependent is also discussed. The ultrasonic attenuation due to phonon – phonon (p-p) interactions is also calculated at different temperatures. In the study of ultrasonic attenuation such as a function of temperature, thermal conductivity appears to be main contributor and p- p interactions are the responsible reason of attenuation and found that the mechanical properties of the high entropy alloy ScTiZrHf are superior at room temperature.

scholarly journals The Room Temperature Elastic Constants of Caesium Thiocyanate

1983 ◽  
Vol 36 (1) ◽  
pp. 85 ◽  
Author(s):  
MA Irving ◽  
S Prawer ◽  
TF Smith ◽  
TR Finlayson
Keyword(s):  
Low Temperature ◽  
Bulk Modulus ◽  
Elastic Constants ◽  
Elastic Waves ◽  
Room Temperature ◽  
Elastic Stiffness ◽  
Orthorhombic Crystal ◽  
Propagation Of Elastic Waves ◽  
Limiting Value ◽  
Rigid Ion Model

The velocities of propagation of elastic waves in caesium thiocyanate have been measured along the three orthorhombic axes and normal to the (110), (011) and (101) planes using a double-transducer technique at 10 MHz. The velocities are found to be consistent with the orthorhombic crystal symmetry, and in favourable agreement with a recently published rigid-ion model calculation. The calculated elastic stiffness constants have values C11 = 18'9�0'7, C22 = 20�6�1�0, C33 = 28�1�1�6, C44 = 1'96�0'05, Css = 7�30�0�2, C66 = 3�04�0�07, C12 = 7'8�4'3, Cl3 = 14�8�4 and e23 = 6�3�4GPa. The calculated values for the adiabatic bulk modulus and the low temperature limiting value of the Debye temperature are 13�2 � 3�5 GPa and 132 K respectively

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