1995
DOI: 10.1016/0032-3861(95)90995-e
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Dependence of segmental orientation on polymer conformational characteristics

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Cited by 3 publications
(4 citation statements)
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“…For convenience in comparison with the of this paper, we have replaced the second Legendre polynomial with the appropriate order parameter, formally equivalent for our choice of coordinates. More elaborate treatments have been published; 34 for the purpose of this communication, however, the original model is perfectly adequate.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…For convenience in comparison with the of this paper, we have replaced the second Legendre polynomial with the appropriate order parameter, formally equivalent for our choice of coordinates. More elaborate treatments have been published; 34 for the purpose of this communication, however, the original model is perfectly adequate.…”
Section: Resultsmentioning
confidence: 99%
“…For a uniaxial deformation and a vector attached to a network chain “in the chain direction”, Kuhn and Grün , found that the second Legendre polynomial of the cosine of the angle between this vector and the direction of deformation obeys the relationship where λ = 1 + ε is the extension ratio and N x , is the mean chain length between cross-links, measured in number of Kuhn segments (i.e., equivalent freely-jointed segments). For convenience in comparison with the rest of this paper, we have replaced the second Legendre polynomial with the appropriate order parameter, formally equivalent for our choice of coordinates.More elaborate treatments have been published; for the purpose of this communication, however, the original model is perfectly adequate.…”
Section: Resultsmentioning
confidence: 99%
“…Finally, the physical properties of the extruded fibers under the respective conditions were comparatively analyzed according to the draw ratio. It can be predicted through the major physical property changes that occur due to the difference in the degree of orientation according to changes in fiber draw ratios [ 30 , 31 ]. This study opens new possibilities for developing and applying environmentally friendly TPUs.…”
Section: Introductionmentioning
confidence: 99%
“…represents the angle between u and T . For a given chain structure, the second order moments (r2)o and (r2 cos2 0 ) o appearing in the front factor DO may be calculated by various theoretical schemes, among which is the rotational isomeric state formalism [9,6,15] and by Monte Carlo simulations[10,11]. The configurational factor has been shown to be inversely proportional to chain length, which is conveniently expressed as DO -1/n where n is the number of bonds in the network chain.For a freely jointed chain with N bonds, or for a real chain approximated by a freely jointed chain of N equivalent bonds (N 5 n), the front factor equates to 1/5N, as was originally shown by Kuhn and Griin [12] and later elaborated by Roe and Krigbaum [13] and Jarry and Monnerie [14].…”
mentioning
confidence: 99%