## A rheological and structural study of polymer networksContents of this doctoral dissertation include: primary polymer molecules with a mondisperse distribution of the molecular weights, crosslinks of any functionality, primary polymer molecules with a disperse distribution of the molecular weights, the sol fraction, number and weight average degrees of polymerization, Schulz-Zimm distribution, fractions of ideal networks and dangling ends, molar masses between the crosslinks |

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Page 22

Flory took the influence of these so-called dangling ends upon the stress-strain

relationship of a polymeric network into account by using the so-called

^.'9' This

Flory took the influence of these so-called dangling ends upon the stress-strain

relationship of a polymeric network into account by using the so-called

**cycle rank**^.'9' This

**cycle rank**represents the number of closed paths in the network.Page 30

7' Instead of describing the equilibirum shear modulus in terms of the number of

elastically active network chains, te Nijenhuis did it in terms of the already

mentioned

path ...

7' Instead of describing the equilibirum shear modulus in terms of the number of

elastically active network chains, te Nijenhuis did it in terms of the already

mentioned

**cycle rank**of a polymer network, illustrated in figure 2.3. Every closedpath ...

Page 31

Structures at one row in figure 2.4 have the same

shows that for the same number of polymer molecules N no change in the

...

Structures at one row in figure 2.4 have the same

**cycle rank**. Figure 2.4 clearlyshows that for the same number of polymer molecules N no change in the

**cycle****rank**during the transition of a tetrafunctional crosslinking system to a /-functional...

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### Contents

_t A Rheological and Structural Study of Polymer Networks | 1 |

Modelling of Polymer Networks | 18 |

Simulations of Polymer Networks | 74 |

Copyright | |

3 other sections not shown

### Common terms and phrases

active network chains average crosslinking index average molar mass average molecular weight calculated complex formation enthalpies constant crosslink functionality crosslinked system crosslinks per unit curves cycle rank dangling ends decrease deformation degree of polymerisation discotic side chain discotic side-chain polymers disperse distribution dynamic elastically active network equilibrium shear modulus figure Flory fraction of dangling fraction of ideal frequency high shear rates hypothetical crosslinking process increase kg/mol mijn molecular weight distribution monodisperse distribution network fraction network of polymer network parameters Nijenhuis number and weight number average degree number average molecular number of crosslinks physical network polydispersity index polymer in 1,1,2-trichloroethane polymeric polyvinyl chloride primary polymer molecules relationship rheological measurements Schulz-Flory distribution Schulz-Zimm distribution side chain polymer sol fraction solubility parameter solution of discotic solvent storage modulus strain structure substituting equation temperature tetrafunctional crosslinking total number unit volume values viscoelastic viscosity w/w solution weight average crosslinking weight average molecular yield stress zijn