A consistent thermodynamical model of incompressible media as limit case of quasi-thermal-incompressible materials

作者：Gouin Henri; Ruggeri Tommaso^*

来源：International Journal of Non-Linear Mechanics, 2012, 47(6): 688-693.

DOI：10.1016/j.ijnonlinmec.2011.11.005

• Incompressible fluids and solids
• Entropy principle
• Chemical potential concavity

In this paper we extend the conditions on quasi-thermal-incompressible materials presented in Gouin et al. (2011) [1] so that they satisfy all the principles of thermodynamics, including the stability condition associated with the concavity of the chemical potential. We analyze the approximations under which a quasi-thermal-incompressible medium can be considered as incompressible. We find that the pressure cannot exceed a very large critical value and that the compressibility factor must be greater than a lower limit that is very small. The analysis is first done for the case of fluids and then extended to the case of thermoelastic solids.

• 出版日期2012-7