On thermodynamics and the nature of the second law
Abstract
An approach to continuum thermomechanics for singlephase media which excludes generalized kinematics and forces is developed. A procedure is developed for placing restrictions on constitutive equations. A mathematical interpretation of ideas of thermodynamic irreversibility arising from coosideration of a second law of thermodynamics leads to an inequality which in special circumstances reduces to one known as the ClausiusPlanck inequality. A restriction on the heat conduction vector is given for the heat flux response in equilibrium cases for which heat flow is steady, along with a restriction on the internal energy when the body is in a state of mechanical equilibrium and the temperature field is assumed to be spatially homogeneous.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 November 1977
 DOI:
 10.1098/rspa.1977.0166
 Bibcode:
 1977RSPSA.357..253G
 Keywords:

 Conservation Laws;
 Constitutive Equations;
 Continuum Mechanics;
 Heat Transmission;
 Thermodynamic Properties;
 Conductive Heat Transfer;
 Elastic Deformation;
 Entropy;
 Heat Flux;
 Inequalities;
 Recoverability;
 Thermodynamics and Statistical Physics