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|The goal of this chapter is achieved in this section by the construction of entropy. |
We shall assume throughout that the range of the temperature 6 is IR++. 7.6.1
Definition A body 12 is said to satisfy the Clausius-Duhem inequality if there
|O. A. Hougen, K. M. Watson, and R. A. Ragatz The formulation of the second law |
as given in equation (1.5.6) is usually called the Clausius-Duhem inequality.
Admittedly, there is no general consensus on whether the second law should be
|CLAUSIUS-DUHEM INEQUALITY a material point X of the material differentiable |
manifold M3. Clausius' original form of (1) had zero for the right-hand side. The
surface contribution was added by Duhem , and the bulk term by C.A. ...
|However, as shown by Day  in the case of rigid heat conductors, really there |
exists a family of entropy functionals, all compatible with the Clausius-Duhem
inequality. Thus it seems more appropriate to consider statements of the second
|Continuum Mechanics, Discretization and Experimental Characterization Stefan |
Hiermaier. 2.6.4 Formulations of the Clausius-Duhem Inequality There are
various formulations of the Clausius-Duhem inequality (2.254) to be found in
|the. Clausius-Duhem. inequality. It is timely to establish a form of the second law |
that is of relevance for constitutive mechanics. First of all, we define the specific
entropy s per unit mass, i.e. S = I psdV (20.64) V The specific entropy s is a state ...
|In addition, thermodynamic processes should be thermodynamically admissible, |
meaning they should satisfy the Clausius-Duhem inequality. 4.2.2 The Clausius-
Duhem Inequality The Clausius-Duhem inequality, alternatively referred to as ...
|2.1.5 The Clausius-Duhem Inequality In continuum mechanics the second law of |
thermodynamics is often expressed through the Clausius-Duhem inequality. If it
is first assumed either that the internal entropy density per unit mass, t|, is a ...
|Coleman and Noll (1963) adopted the Clausius-Duhem inequality, as an |
expression for the second law of thermodynamics, to determine the validity of the
constitutive equations of a body of material. In this, their paper demonstrates that