We present the state of the art on the modern mathematical methods of exploiting the entropy principle in thermomechanics of continuous media. A survey of recent results and conceptual discussions of this topic in some well-known non-equilibrium theories (Classical irreversible thermodynamics CIT, Rational thermodynamics RT, Thermodynamics of irreversible processes TIP, Extended irreversible thermodynamics EIT, Rational Extended thermodynamics RET) is also summarized.© 2014 by the authors.
- Classical irreversible thermodynamics
- Continuum thermodynamics
- Entropy principle
- Exploitation of second law
- Extended irreversible thermodynamics
- Rational extended thermodynamics
- Rational thermodynamics