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Tube model in crosslinked systems

Consider a lightly crosslinked rubber which consists of long strands of polymers between crosslinks. A strand in such a rubber is schematically shown in Fig. 6.1. In Fig. 6.16 the strand is placed on a plane and the cross-sections of other strands are shown by dots. Due to the topological constraints, the strand cannot cross the dots, so that the number of conformations allowed for the strand is much less than that in free space. How can we estimate it  [Pg.188]

In real rubters, the situation is more complicated since the other strands are mobile. However, even in such a case, a self-consistent picture wUl be that the range in which each part of the strand can move around will remain finite. The range is perhaps larger than the mean separation between the frozen strands discussed above. What diameter one should assign to the tube is a question which has not been answered with absolute certainty. However, as long as the strand is long enough, the diameter is determined by local conditions, and will be independent [Pg.188]


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