On thermodynamics and thermostatics of viscous thermoelastic solids in the electromagnetic fields. A lagrangian formulation
Abstract
The paper develops a thermodynamic and thermostatic theory for thermoelastic electromagnetic solids along the lines of the theory of Liu and Mueller (1972) for fluids in electromagnetic fields. The Maxwell equations are derived in material (or Lagrangian) form with attention given to transformation properties under Euclidean transformations of the spatial frames. A material description of the balance laws of mechanics is found by transforming the electromagnetic body force, body couple and energy supply into the material description, from which the corresponding jump conditions are then derived. The concept of coldness in this theory is established, where coldness is a universal function of temperature alone, and where coldness can be identified with the inverse of the absolute temperature.
 Publication:

Archive for Rational Mechanics and Analysis
 Pub Date:
 December 1975
 DOI:
 10.1007/BF00250295
 Bibcode:
 1975ArRMA..58..339H
 Keywords:

 Electromagnetic Fields;
 Thermodynamic Properties;
 Thermoelasticity;
 Viscosity;
 Constitutive Equations;
 Entropy;
 Integral Equations;
 Isotropic Media;
 Maxwell Equation;
 Partial Differential Equations;
 Thermodynamics and Statistical Physics