Thermoelastic Properties of Rubberlike Networks and Their Thermodynamic and Molecular Interpretation

1973 ◽  
Vol 46 (3) ◽  
pp. 593-618 ◽  
Author(s):  
J. E. Mark
Keyword(s):  
Isomeric State ◽  
State Theory ◽  
Thermoelastic Properties ◽  
Chain Molecules ◽  
Rotational Isomeric State ◽  
Theoretical Investigations ◽  
Molecular Interpretation ◽  
Molecular Aspects ◽  
Insight Into ◽  
Conformational Energies

Abstract Thermoelastic measurements and their interpretation by means of rotational isomeric state theory provide a great deal of insight into both thermodynamic and molecular aspects of rubberlike elasticity. Furthermore, conformational energies obtained in part from thermoelastic studies can in turn be used in the interpretation and even prediction of a variety of configurationally dependent properties of chain molecules, as is shown in many of the theoretical investigations cited in Sections IV and VII of this review.

scholarly journals Application of Rotational Isomeric State Theory to Ionic Polymer Stiffness Predictions

2005 ◽  
Vol 20 (9) ◽  
pp. 2443-2455 ◽  
Author(s):  
Lisa Mauck Weiland ◽  
Emily K. Lada ◽  
Ralph C. Smith ◽  
Donald J. Leo
Keyword(s):  
Isomeric State ◽  
Mechanical Response ◽  
Physical Structure ◽  
State Theory ◽  
Chain Conformation ◽  
Ionic Polymer ◽  
Polymer Morphology ◽  
Rotational Isomeric State ◽  
Material Stiffness ◽  
Chain Lengths

Presently, rotational isomeric state (RIS) theory directly addresses polymer chain conformation as it relates to mechanical response trends. The primary goal of this work is to explore the adaptation of this methodology to the prediction of material stiffness. This multiscale modeling approach relies on ionomer chain conformation and polymer morphology and thus has potential as both a predictive modeling tool and a synthesis guide. The Mark–Curro Monte Carlo methodology is applied to generate a statistically valid number of end-to-end chain lengths via RIS theory for four solvated Nafion® cases. For each case, a probability density function for chain length is estimated using various statistical techniques, including the classically applied cubic spline approach. It is found that the stiffness prediction is sensitive to the fitting strategy. The significance of various fitting strategies, as they relate to the physical structure of the polymer, are explored so that a method suitable for stiffness prediction may be identified.

The Statistical Theory of the Elasticity of Rubber

1939 ◽  
Vol 12 (1) ◽  
pp. 56-63
Author(s):  
H. Dostal
Keyword(s):  
Finite Size ◽  
Point Of View ◽  
Chain Molecule ◽  
Tension Zone ◽  
Single Chain ◽  
Chain Molecules ◽  
Theoretical Investigations ◽  
Statistical Behavior ◽  
Coefficient Of Elasticity ◽  
Insight Into

Abstract The theoretical investigations of various authors, with the aid of which the physical properties of rubber-like substances have become understood on a basis of intermolecular statistics, have not, at least from a quantitative point of view, kept pace with investigations relating to kinetic theories of gases. However, only the facts of rubber elasticity have become understood, and to point out one case, the coefficient of elasticity cannot be derived, and much less the tension zone, beyond proportionality. The reason for this is that, although statistics of a single chain molecule of finite size can be compiled, the bond of the chain molecule and, as a further instance, the behavior of a molecule of infinite size formed by interlacing have not been clearly understood up to the present time. Consequently, it has been possible to gain an insight into the statistical behavior of individual chain molecules much more easily than into that of a piece of rubber, and therefore to deduce with less difficulty theories of the viscosity of high molecular solutions and similar systems. In the case of rubber, progress has been more difficult in explaining the effects which take place.

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