 About 7,250 results  books.google.com 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 ClausiusDuhem inequality if there
exists ... 

 books.google.com 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 ClausiusDuhem inequality.
Admittedly, there is no general consensus on whether the second law should be
... 

 books.google.com CLAUSIUSDUHEM INEQUALITY a material point X of the material differentiable
manifold M3. Clausius' original form of (1) had zero for the righthand side. The
surface contribution was added by Duhem [2], and the bulk term by C.A. ... 

 books.google.com Theoretical and Numerical Advances Pierre Alart, Olivier Maisonneuve, R. Tyrrell
Rockafellar. Chapter 10 THE CLAUSIUSDUHEM INEQUALITY, AN
INTERESTING AND PRODUCTIVE INEQUALITY Michel Frémond Laboratoire
Lagrange, ... 

 books.google.com However, as shown by Day [40] in the case of rigid heat conductors, really there
exists a family of entropy functionals, all compatible with the ClausiusDuhem
inequality. Thus it seems more appropriate to consider statements of the second
law ... 

 books.google.com Continuum Mechanics, Discretization and Experimental Characterization Stefan
Hiermaier. 2.6.4 Formulations of the ClausiusDuhem Inequality There are
various formulations of the ClausiusDuhem inequality (2.254) to be found in
literature. 

 books.google.com the. ClausiusDuhem. 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 ... 

 books.google.com In addition, thermodynamic processes should be thermodynamically admissible,
meaning they should satisfy the ClausiusDuhem inequality. 4.2.2 The Clausius
Duhem Inequality The ClausiusDuhem inequality, alternatively referred to as ... 

 books.google.com 2.1.5 The ClausiusDuhem Inequality In continuum mechanics the second law of
thermodynamics is often expressed through the ClausiusDuhem inequality. If it
is first assumed either that the internal entropy density per unit mass, t, is a ... 

 books.google.com Coleman and Noll (1963) adopted the ClausiusDuhem 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
the ... 

 