## Molecular basis of polymer networks: proceedings of the 5th IFF-Ill Workshop, Jülich, Fed. Rep. of Germany, October 5-7, 1988The contributors to this volume appraise our knowledge of the molecular physics of polymer networks and pinpoint areas of research where significant advances can be made using new theories and techniques. They describe both theoretical approaches, based on new theoretical concepts and original network models, and recent experimental investigations using SANS, 2H NMR or QELS. These new techniques provide precise information about network behaviour at the molecular level. Reported results of the application of these and more traditional techniques include the microscopic conformation and properties of permanent networks or gels formed by specific interchain interactions, the behaviour of elastomer liquid crystals, and the static and dynamic properties of star-branched polymers. |

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Page 112

The first three terms represent the classical contributions: the translational

low deformation limit, X<2), andthe contribution from the Flory interaction

parameter x ...

The first three terms represent the classical contributions: the translational

**entropy**of the solvent, the nominal stress f induced in the network by the strain X (low deformation limit, X<2), andthe contribution from the Flory interaction

parameter x ...

Page 171

tional rubbers the Wall-Flory type theories [9] (i.e. the crosslinks are assumed to

be fixed, and do not fluctuate) calculate the

in the crosslinks. This underestimates the

tional rubbers the Wall-Flory type theories [9] (i.e. the crosslinks are assumed to

be fixed, and do not fluctuate) calculate the

**entropy**residing in the chains and notin the crosslinks. This underestimates the

**entropy**of the network by a factor of 2.Page 172

The system is then assumed to be deformed R'=XR and the matrix X is of the form

(Mjj^i^jj1 the principal strains are Xj— 1 , and we have to calculate the new

...

The system is then assumed to be deformed R'=XR and the matrix X is of the form

(Mjj^i^jj1 the principal strains are Xj— 1 , and we have to calculate the new

**entropy**in this deformed state, but with the same crosslink positions. The**entropy**...

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### Contents

Remarks | 2 |

The BaumgartnerMuthukumar Effect in Networks | 11 |

Statistical Mechanics of dDimensional Polymer Networks and Exact | 17 |

Copyright | |

13 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

42 Molecular Basis anisotropy Basis of Polymer Bastide behaviour blends calculated carrageenan chain segments Chem chemical chemical potential configuration conformation constant constraints corresponding crosslinking curves deformation density dependence deswelling deuterated deviatoric distribution dynamics effect elastic free energy elementary strand elongation entanglements entropy equation equilibrium excluded volume experimental experiments exponent Flory Flory-Huggins Flory-Huggins theory fluctuations fractal dimension free chains free energy Gaussian gelation Gennes helix increases interaction parameter isotropic labelled paths layer length linear Macromolecules macroscopic measurements melt micronetworks modulus molecular weight monomers network chains neutron scattering observed obtained PDMS chains phantom network Phys polybutadiene polyelectrolyte Polymer Networks polymeric fractals polystyrene Proceedings in Physics properties radius of gyration ratio rod network Rouse model rubber elasticity S.F. Edwards sample scaling solution solvent Springer Proceedings star molecules star polymers swelling swollen temperature theory topological uniaxial values vector viscoelastic viscosity volume fraction