## Molecular Basis of Polymer Networks: Proceedings of the 5th IFF-ILL Workshop, Jülich, Fed. Rep. of Germany, October 5–7, 1988The workshop on the "Molecular Basis of Polymer Networks", held October 5- 7, 1988 in 1iilich, FRG, continued a series of workshops jointly organized by the Institute Laue Langevin (ILL) in Grenoble, and the Institute of Solid State Physics of the KFA, 1iilich. The aim of this workshop was to provide a platform for discussions between theoreticians and experimentalists interested in the physics of polymer networks, in the hope that the two types of discussion would be synergistic. As revealed by the title of this workshop, the main focus of the lectures was on molecular aspects of the problem. The individual parts of these proceedings cover various approaches. Following quite general comments from a physicist examining the situation from "outside", various new theoretical concepts are developed. During the last decade the advent of Small Angle Neutron Scattering (SANS) has allowed the molecular structure of polymer networks to be studied and thus the reliability of the theories to be tested directly at the molecular level. Recent advances in this field are presented. The use of new techniques such as 2H NMR or QELS and the refinements of more classical, mechanical experimental measure ments have provided new information about the relation between the macroscopic behavior and the microscopic structure of polymer networks. Some recent results in this area are discussed for both chemically cross-linked networks and gels built by specific interchain interactions. |

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Page 4

The Mooney - Rivlin

empirical Mooney - Rivlin

a gel or a rubber in terms of the extension ratios lg , lg , dz or more precisely from

...

The Mooney - Rivlin

**Equation**One aim of the theoretician is to reproduce theempirical Mooney - Rivlin

**equation**which gives the strain free - energy density ina gel or a rubber in terms of the extension ratios lg , lg , dz or more precisely from

...

Page 129

If

conclude that the elastic free energy of the rubber is unchanged by the presence

of the solvent . Obviously , lack of agreement would lead to the opposite ...

If

**equation**5 correctly describes the response of the swollen rubber , one wouldconclude that the elastic free energy of the rubber is unchanged by the presence

of the solvent . Obviously , lack of agreement would lead to the opposite ...

Page 175

lution for the case of crosslinked rods and one enters the usual difficulties for non

- linear integral

= ( ^ .

lution for the case of crosslinked rods and one enters the usual difficulties for non

- linear integral

**equations**. We have ... One can then transform the integral**equation**into a differential**equation**♡ - ( F2 / 3 ) 024 = € ( 0 , ulym( 23 ) where y= ( ^ .

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### Contents

Remarks | 2 |

The BaumgärtnerMuthukumar Effect in Networks | 11 |

By S F Edwards With 1 Figure | 17 |

Copyright | |

18 other sections not shown

### Other editions - View all

Molecular Basis of Polymer Networks: Proceedings of the 5th IFF-ILL Workshop ... Artur Baumgärtner,Claude E. Picot No preview available - 2011 |

### Common terms and phrases

appear approximation arms assumed average behaviour bonds calculated Chem chemical compared components concentration conformation connected considered constant constraints containing contribution correlations corresponding crosslinking curves deformation density dependence described deuterated dimension direction discussed distance distribution dynamics Editors Edwards effect elastic equation equilibrium expected experimental experiments exponent expression factor Figure Flory fluctuations force fractal fraction free energy function given gives increases interaction labelled larger leads length linear Macromolecules mean measurements mechanical melt method modulus molecular weight molecules motion neutron Note observed obtained orientation parameter paths PDMS Phys Physics Picot Polymer Networks predictions present probability properties range ratio reduced reference relaxation respect rods rubber sample scaling scattering segment shown shows simple solution solvent Springer star statistical stress structure studied surface swelling swollen temperature theory transition values volume