Thermo-physical description of elastic solids

Abstract

Experiments show that all the derivatives of the thermo-physical variables are nearly constant. The constant value of the derivatives indicates linear relationship between the variables. Neither the volume coefficient of thermal expansion nor the bulk modulus are constant and show pressure and temperature dependence. Besides the derivatives the only other quantity in the definition of the volume coefficient of thermal expansion and the bulk modulus is the volume. It is suggested that the pressure and temperature dependence of these parameters is resulted from the improper identification of the volume. In solid phase the actual volume is not an independent variable but rather comprises from three more fundamental volume components, initial, thermal, and elastic volumes. The pressure correlates to the elastic volume and the temperature to the thermal volume. New definitions for the volume coefficient of thermal expansion and the bulk modulus are proposed by identifying the fundamental volume parts specifically. The complete separation of the thermal and elastic volumes is consistent with theory since the vibrational and static energies are completely independent of each other. Based on the independence of the thermal and elastic deformations it is suggested that thermo elastic coupling should not exist in solid phase in the elastic domain with the exception of constant volume. It is also suggested that the thermo-elastic coupling is irreversible and exist only in the temperature-pressure direction.