Thermal variations of elastic properties of solids using EoS, based on finite strain.

Knowledge of the thermal variation of elastic properties of solids is essential for proper design and selection of solids in case of their thermal properties study. An Equation of States (EoS) based investigations have been done to characterize the thermal variations of elastic properties for solids. To make a good understanding for the equation of state for solid, the analysis of temperature dependence behaviour of elasticity is reported in this work. We have investigated the thermal variation of volume for NaCl, KCl, MgO and CaO based on Anderson model. We have evaluated the values of elastic constants C11, C44 and KT at different temperatures based on Murnaghan and Tallon models. The Tallon's model with second approximation presents somewhat reliable agreement with experimental results. It is shown that the Anderson-Gruneisen parameter may be pondered as directly proportional to the volume ratio. The Debye temperature (θD) for NaCl and KCl are close to room temperature (304 and 230 K) whereas those for CaO and MgO are much higher (945 and 670 K). We have taken a temperature range from room temperature to 950 K for NaCl, KCl and upto 2800 K for CaO and MgO. This theoretical method can be used to successfully predict the values of elastic constants for solids. [ABSTRACT FROM AUTHOR]