ISSN:
1573-8620
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Physics
Notes:
Abstract Complete thermodynamic equations of state of solids are constructed either on a phenomenological basis [1], or on the basis of model representations at the atomic level [2]. The first way necessitates a thorough preliminary experimental study of the thermodynamic properties of the material as a basis for establishing a system of partial differential equations. In the second case a valid model leads not only to explicit functional relations between thermodynamic quantities over a broad range of values of the parameters, but also makes it possible to relate the macroscopic characteristics of the material to its atomic characteristics and to discover the mechanism of the phenomena under consideration. Since a model without parameters is generally impossible, it is sufficient to use the experimental values of a few easily measured quantities to determine the adjustable parameters. Thus, various forms of Mie-Gruneisen equations of state are obtained depending on the specific assumptions about the structure of the material, the strength of the interatomic binding, and the nature of the motion of the microparticles which constitute the material. Using the quasiharmonic approximation of solid-state theory and the Debye model of thermal vibrations, we derive a caloric equation of state which enables us to develop a complete thermodynamic description for a number of metals.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00850616
Permalink