Abstract
The author discusses the applicability of various theories for describing processes in continuous matter and deals in some detail with the entropy-free thermodynamics of irreversible processes, basing his discourse on the work of J. Meixner in this field. Today there are essentially three different phenomenological theories available for describing processes in continuous matter: (1) The classical Thermodynamics of Irreversible Processes (TIP)1. (2) The Non-linear Field-Theories of Mechanics and their thermodynamic extensions (NFT)2. (3) The Entropy-free Thermodynamics of Processes (ETIP)3' . These theories have in common the conservation laws of continuous matter and the laws of thermostatics. They differ essentially in the arguments on which the constitutive equations (CE) are based. Classical TIP starts from a generalized Clausius—Duhem Inequality (CDI) for the well-known (specific) thermostatic entropy s p5+divJ8O (1) The quantity is well defined by the second law of thermodynamics and is a function = s5(u, p) for fluids and a function = s(u, F) for solid systems. Here u means the (specific) internal energy, p... density, Ff1... deformation gradient, substantial time derivative of and J... current of s. In the case of thermodynamic systems without diffusion one has
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