Polymers as Structured Continua

1972 ◽  
Vol 16 (1) ◽  
pp. 129-145
Author(s):  
C. C. Ling ◽  
S. J. Allen ◽  
K. A. Kline
Keyword(s):  
Structured Continua

Fracture in Structured Continua

1995 ◽  
Vol 4 (3) ◽  
pp. 283-289 ◽  
Author(s):  
Paolo Maria Mariano
Keyword(s):  
Structured Continua

scholarly journals Modal coupling in one-dimensional electromechanical structured continua

2000 ◽  
Vol 141 (1-2) ◽  
pp. 37-50 ◽  
Author(s):  
S. Vidoli ◽  
F. dell'Isola
Keyword(s):  
One Dimensional ◽  
Modal Coupling ◽  
Structured Continua

Structured continua of the intermediate long-range Cs[sub 2] molecules

1997 ◽  
Author(s):  
Damir Veža ◽  
Robert Beuc ◽  
Slobodan Milošević ◽  
Goran Pichler
Keyword(s):  
Long Range ◽  
Structured Continua

On the basic laws of reacting mixtures of structured continua

Meccanica ◽  
1974 ◽  
Vol 9 (1) ◽  
pp. 9-15 ◽  
Author(s):  
Gianfranco Capriz ◽  
Paolo Podio Guidugli
Keyword(s):  
Reacting Mixtures ◽  
Structured Continua

On the formulation of mechanical balance laws for structured continua

1992 ◽  
Vol 43 (1) ◽  
pp. 181-190 ◽  
Author(s):  
Morton E. Gurtin ◽  
Paolo Podio-Guidugli
Keyword(s):  
Balance Laws ◽  
Structured Continua

Equilibrium Thermodynamics

1994 ◽  
Author(s):  
Antony N. Beris ◽  
Brian J. Edwards
Keyword(s):  
Total Mass ◽  
Transport Processes ◽  
Thermodynamic Quantities ◽  
Equilibrium Thermodynamics ◽  
Starting Point ◽  
Solid Foundation ◽  
Thermodynamic Variables ◽  
Structured Continua ◽  
Further Development ◽  
Extensive Quantity

The ideas which we shall present in the remainder of this book are intimately connected with thermodynamics. In order to describe the various transport processes in structured continua, one must first build a solid foundation of equilibrium thermodynamics upon which to base further development. In approaching transport phenomena from an energetic viewpoint, one must first define what is meant by various thermodynamic variables as, for example, the temperature and pressure, in terms of the primitive variables used to characterize the system under investigation. In this chapter, we present a brief overview of equilibrium thermodynamics tailored to the needs of this book. Specifically, we want to define explicitly the thermodynamic quantities which are used in subsequent chapters. For clarity and completeness, we shall re-derive, rather than merely state, some of the standard thermodynamic relationships. Of course, the experienced reader may proceed directly to the next chapter and use this chapter as a reference to notation as the need arises. The starting point for our discussion of equilibrium thermodynamics is the axiomatic foundation of the description of macroscopic equilibria on certain fundamental principles. First, the macroscopic equilibrium of a closed system is completely described through the specification of a number of extensive (i.e., proportional to the total mass or volume of the system, and additive between systems) or intensive (i.e., independent of the total mass or volume of the system) parameters. This is a very important point which is usually overlooked in the traditional thermodynamic development. The extensive nature of the primary variables of the system introduces an additional relationship which acts on the allowed variations of the differentials, which, as we shall see, is tantamount to the Gibbs/Duhem relation. This implies, as we shall demonstrate in §4.3, that the density formalism, where every extensive quantity is reported on a unit volume basis, is a much more natural framework for describing the system in that it avoids a number of pitfalls of the traditional formalism.

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