Analysis of temperature dependence of elastic constants and bulk modulus for ionic solids

2000 ◽  
Vol 291 (3-4) ◽  
pp. 373-378 ◽  
Author(s):  
A. Vijay ◽  
T.S. Verma
Keyword(s):  
Bulk Modulus ◽  
Temperature Dependence ◽  
Elastic Constants ◽  
Ionic Solids

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.

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 for ionic solids

2009 ◽  
Vol 404 (21) ◽  
pp. 4106-4110 ◽  
Author(s):  
Bimal Kumar Sarkar ◽  
Ajay Singh Verma ◽  
Rajesh Chandra Gupta
Keyword(s):  
Temperature Dependence ◽  
Elastic Constants ◽  
Ionic Solids

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.

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