Gaseous diffusion in a stressedthermoelastic solid. I  The thermomechanical formulation. II  Thermodynamic structure and transport theory
Abstract
A phenomenological model is constructed to describe the thermomechanical behavior of a dilute solution of a gas diffusing through an elastic solid. The fundamental postulates are the existence of entropy and temperature in nonequilibrium and an entropy production inequality. The model also makes use of the balance equations of mass, linear and angular momentum, and internal energy; the principle of equipresence of Truesdell (1951) generalized by Truesdell and Toupin (1960); and the principle of objectivity of Noll (1958). The strong influence of the characteristic variables of the solid behavior on the thermomechanical response of the gas enters the constitutive equations of the gas as a general functional dependence. The gas constitutive theory is compatible with thermodynamics. Transport equations for the mass and heat flux of the gas are derived. The results are compared with previous theories and existing experimental data.
 Publication:

Acta Mechanica
 Pub Date:
 1977
 Bibcode:
 1977AcMec..28....1A
 Keywords:

 GasSolid Interfaces;
 Gaseous Diffusion;
 Stress Distribution;
 Thermodynamic Properties;
 Thermoelasticity;
 Transport Theory;
 Heat Transfer;
 Mass Transfer;
 Phenomenology;
 Physics (General)