Segmental orientation in networks crosslinked in solution

1989 ◽  
Vol 22 (1) ◽  
pp. 480-481 ◽  
Author(s):  
B. Erman ◽  
J. E. Mark
Keyword(s):  
Segmental Orientation

Calculations and Simulations

1997 ◽  
Author(s):  
Burak Erman ◽  
James E. Mark
Keyword(s):  
Gaussian Approximation ◽  
Rubber Elasticity ◽  
Chain Model ◽  
Chain Molecules ◽  
Rotational Isomeric State ◽  
End To End ◽  
State Models ◽  
Areas Of Interest ◽  
Segmental Orientation

The classical theories of rubber elasticity are based on the Gaussian chain model. The only molecular parameter that enters these theories is the mean-square end-to-end separation of the chains constituting the network. However, there are various areas of interest that require characterization of molecular quantities beyond the Gaussian description. Examples are segmental orientation, birefringence, rotational isomerization, and finite extensibility, and we will address these properties in the following chapters. One often needs a more realistic distribution function for the end-to-end vector, as well as for averages of the products of several vectorial quantities, as will be evident in these chapters. The foundations for such characterizations, and several examples of their applications, are given in this chapter. Several aspects of rubber elasticity (such as the dependence of the elastic free energy on network topology, number of effective junctions, and contributions from entanglements) are successfully explained by theories based on the freely jointed chain and the Gaussian approximation. Details of the real chemical structure are not required at the length scales describing these phenomena. On the other hand, studies of birefringence, thermoelasticity, rotational isomerization upon stretching, strain dichroism, local segmental orientation and mobility, and characterization of networks with short chains require the use of more realistic network chain models. In this section, properties of rotational isomeric state models for the chains are discussed. The notation is based largely on the Flory book, Statistical Mechanics of Chain Molecules. More recent information is readily found in the literature. Due to the simplicity of its structure, a polyethylene-like chain serves as a convenient model for discussing the statistical properties of real chains. This simplicity can be seen in figure 8.1, which shows the planar form of a small portion of a polyethylene chain. Bond lengths and bond angles may be regarded as fixed in the study of rubber elasticity because their rapid fluctuations are usually in the range of only ±0.05 A and ±5°, respectively. The chain changes its configuration only through torsional rotations about the backbone bonds, shown, for example, by the angle for the ith bond in figure 8.1.

Segmental orientation in plastically deformed glassy PMMA

2006 ◽  
Vol 54 (3) ◽  
pp. 589-610 ◽  
Author(s):  
M WENDLANDT ◽  
T TERVOORT ◽  
J VANBEEK ◽  
U SUTER
Keyword(s):  
Segmental Orientation

scholarly journals Segmental Orientation in Deformed Networks. 2. Molecular Theory for Biaxial Deformation

1995 ◽  
Vol 28 (2) ◽  
pp. 582-588 ◽  
Author(s):  
Zeynep Sarac ◽  
Burak Erman ◽  
Ivet Bahar
Keyword(s):  
Molecular Theory ◽  
Biaxial Deformation ◽  
Segmental Orientation

Thermodynamics of Swollen Networks As Reflected in Segmental Orientation Correlations

2012 ◽  
Vol 45 (13) ◽  
pp. 5513-5523 ◽  
Author(s):  
Walter Chassé ◽  
Kay Saalwächter ◽  
Jens-Uwe Sommer
Keyword(s):  
Segmental Orientation

Effect of excluded volume on segmental orientation correlations in polymer chains

2008 ◽  
Vol 78 (5) ◽  
Author(s):  
Jens-Uwe Sommer ◽  
Walter Chassé ◽  
Juan López Valentín ◽  
Kay Saalwächter
Keyword(s):  
Polymer Chains ◽  
Excluded Volume ◽  
Segmental Orientation

Interpretation of segmental orientation in deformed networks in terms of constrained junction model of rubber elasticity

Polymer ◽  
1993 ◽  
Vol 34 (9) ◽  
pp. 1858-1864 ◽  
Author(s):  
B. Erman ◽  
I. Bahar ◽  
S. Besbes ◽  
L. Bokobza ◽  
L. Monnerie
Keyword(s):  
Rubber Elasticity ◽  
Segmental Orientation
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