Temperature dependence of elastic constants and thermal pressure for ionic solids

2010 ◽  
Vol 405 (4) ◽  
pp. 1197-1201 ◽  
Author(s):  
Pallavi Sinha ◽  
S.K. Srivastava
Keyword(s):  
Temperature Dependence ◽  
Elastic Constants ◽  
Thermal Pressure ◽  
Ionic Solids

scholarly journals Study of Elastic Properties of Ionic Solids at High Temperature and Volume Expansion Ratio

2021 ◽  
pp. 232-236
Author(s):  
Sanjay Singh
Keyword(s):  
High Temperature ◽  
Elastic Property ◽  
Temperature Dependence ◽  
Atmospheric Pressure ◽  
Present Method ◽  
Volume Expansion ◽  
Expansion Ratio ◽  
Effect Of Temperature ◽  
Thermal Pressure ◽  
Ionic Solids

In our study we develop a new expression for temperature dependence of thermal pressure for MgO and CaO crystal. A generally elastic property of solid depends on the strength of inter atomic forces of solid. So far our work has been resolute on thermal pressure is dependent of temperature and diverges it’s linearly in high temperature volume expansion ratio through the effect of temperature. This present method has been developed on the temperature dependence of thermal pressure for MgO and CaO crystal at atmospheric pressure and volume expansion ratio at high temperature. A neighboring data of Gruneisen parameter is found to be in close convention with theoretical and investigational confirmations the standing of present study.

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.

TEMPERATURE DEPENDENCE OF THERMODYNAMIC PROPERTIES OF IONIC SOLIDS

2009 ◽  
Vol 23 (11) ◽  
pp. 2503-2509 ◽  
Author(s):  
S. K. SHARMA
Keyword(s):  
Experimental Data ◽  
Temperature Dependence ◽  
Volume Expansion ◽  
Close Agreement ◽  
Present Model ◽  
Expansion Ratio ◽  
Thermal Expansivity ◽  
Temperature Derivative ◽  
Computing Model ◽  
Ionic Solids

The present paper proposes a computing model for temperature dependence of volume thermal expansivity, volume expansion ratio and second order temperature derivative of volume based on the assumption that the product αKT remains constant at high temperatures and zero pressure. We have taken NaCl and KCl to testify the validity of the present model. A fairly close agreement between the calculated results and experimental data strongly supports the present model.

Elastic Constants in C-plane of Single Crystal Bi 2Sr 2Ca Cu 208 between 80 K and 260 K

1990 ◽  
Vol 193 ◽  
Author(s):  
Jin Wu ◽  
Yening Wang ◽  
Yifeng Yan ◽  
Zhongxian Zhao
Keyword(s):  
Shear Modulus ◽  
Single Crystal ◽  
Temperature Dependence ◽  
Elastic Constants ◽  
Wide Temperature Range ◽  
Sound Propagation ◽  
Anisotropic Elasticity ◽  
Ultrasonic Velocities ◽  
Temperature Range

ABSTRACTThe temperature dependence of the in-plane C11 C22. C12 and C66 modes between 80 and 260 K of superconducting crystals of Bi2Sr2Ca1Cu208 have been obtained via the measurements of ultrasonic-velocities. The anisotropic elasticity in the a-b plane of single crystal Bi2 Sr2Ca1Cu2O8 is manifest. The shear modulus of sound propagation along the [110] with the polarization has been also calculated and shows an overall trend of softening over a wide temperature range above Tc. The shear modulus C6 6 shows three obvious softening minima around 240–250 K, 150 K and 100 K.

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