## 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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Figure 2.2 Schematic representation of an ideal (left) and non-ideal

), arrows indicating the continuation of the

in case of an ideal

Figure 2.2 Schematic representation of an ideal (left) and non-ideal

**network**(right), arrows indicating the continuation of the

**network**. From figure 2.2 it is clear thatin case of an ideal

**network**the**polymer**chain parts descending from point A ...Page 29

+1 (1-w.) (2.31) If for a tetrafunctionally crosslinked

with a monodisperse distribution of the molecular weights the equilibrium shear

modulus is known then the sol fraction can be calculated with equation (2.3 1).

+1 (1-w.) (2.31) If for a tetrafunctionally crosslinked

**network of polymer**moleculeswith a monodisperse distribution of the molecular weights the equilibrium shear

modulus is known then the sol fraction can be calculated with equation (2.3 1).

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2.3.2 Primary

weights.* In going from a

monodisperse distribution of the molecular weights to a more general disperse ...

2.3.2 Primary

**polymer**molecules with a discrete distribution of the molecularweights.* In going from a

**polymer network**system containing molecules with amonodisperse distribution of the molecular weights to a more general disperse ...

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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