Three Consider The Thermal Effect Of The Solid Equation Of State

The equation of state (EOS) gives the relationship of variables for a thermodynamic system under thermodynamic equilibrium, such as pressure, volume (or density) and temperature. The study on the EOS is a fundamental problem and an important content in physics. The investigations on the EOS of compressed solids are necessary in many basic sciences and interdisciplinary areas, e.g. geophysics, planetary science, astrophysics, physics of condensed matter, atomic and molecular physics, thermodynamics, statistical physics, etc. They are also foundation in the material science, explosive mechanics, energy engineering, aviation technicality and other applied sciences.In this paper, we discourse upon the fundamental theory of EOS, mechanic and thermodynamic properties of solids. We also discussed some practical semi-empirical, semi-theoretical EOS of solids. The thermal effects are considered in the Baonza, mGLJ and Morse EOSs. On the analysis of experimental data, an approach is proposed to solve V₀, B₀, B'₀ andγ₀^G from V_R, B_R, B'_R andγ_R^G. The approaches are applied to some typical solids to check applicability of these EOSs.In the introduction, the significance of high-temperature and high-pressure EOS and the theoretical basis for the selection of EOS are introduced. We outline the status and tendency for study on the EOS at home and abroad.In chapter two, we mainly describe the fundamental conceptions of EOS, review its development history, illustrate its typical applications in many fields, and recommend the main methods to investigate EOS at present. We mainly emphasize the EOS of solids in this paper, so we also recommend some properties of solids in this chapter—complete EOS, polynomial EOS, its principles of energy and cold pressure of a material (when temperature T = OK ), its thermal pressure and thermal energy relevant to the vibration of crystal lattice and electron.In chapter three, we classify the EOS of solids, and mainly introduce the isothermal EOS, isobaric EOS and high temperature—high pressure EOS. In chapter four, we improve the Einstein model to consider thermal effects, and apply the improved model to the Baonza EOS, mGLJ EOS and Morse EOS for solids. Based on the analysis of experimental values, we propose a new method to deduce thermodynamic parameters at the condition with P＝0, T＝0 from experimental data at a reference temperature.In chapter five, we apply this new method to the research the thermo-physical properties of Zirconic metal. By comparing the numerical results with the experimental data, we think that the equations of state considering thermal effect by using the new method are better than old method.Finally, we summarize the contents of the full text.