Cross linkage problem of polymers III. Dense cross linked system of polymers

1970; IOP Publishing; Volume: 3; Issue: 4 Linguagem: Inglês

10.1088/0022-3719/3/4/003

ISSN

1747-3802

Autores

S. F. Edwards, Karl F. Freed,

Tópico(s)

Control and Stability of Dynamical Systems

Resumo

For pt. II, see ibid., vol. 3, no. 4(1970) 750. A further application of the second quantization formalism is given in a study of syneresis of polymer solutions on cross linking. It is assumed that chains are long enough to neglect end effects, but that the chain segments are still able to move freely and that the only effect of molecular forces is to make them noninterpenetrable. Under these circumstances, the polymers will contract upon cross linking until the pressure, caused by the restriction of a chain by entanglement with its neighbours, balances the negative pressure due to the cross links. Formulae are given for large syneresis, but they simplify for that degree of cross linking at which the contraction begins.

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