## 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

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

), arrows indicating the continuation of the

in case of an ideal

contribute to the final

this is not the case. Flory took the influence of these so-called dangling ends

upon the stress-strain relationship of a polymeric

the ...

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 Acontribute to the final

**network**structure, whereas for a non-ideal**network**structurethis is not the case. Flory took the influence of these so-called dangling ends

upon the stress-strain relationship of a polymeric

**network**into account by usingthe ...

Page 29

(2.31) If for a tetrafunctionally crosslinked

monodisperse distribution of the molecular weights the equilibrium shear

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

2.2.2 Crosslinks of any functionality. Equation (2.16) describes the equilibrium

shear modulus of a polymer network produced through tetrafunctional

crosslinking of primary polymer molecules with a monodisperse distribution of

their molecular weights.

(2.31) If for a tetrafunctionally crosslinked

**network of polymer**molecules with amonodisperse distribution of the molecular weights the equilibrium shear

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

2.2.2 Crosslinks of any functionality. Equation (2.16) describes the equilibrium

shear modulus of a polymer network produced through tetrafunctional

crosslinking of primary polymer molecules with a monodisperse distribution of

their molecular weights.

Page 46

Marcel Willem Cornelis Petrus Franse. § 2.3.2 Primary

discrete distribution of the molecular weights.* In going from a

system containing molecules with a monodisperse distribution of the molecular

weights to a more general disperse distribution, the next logical step would be to

incorporate a mixture of several monodisperse distributions. Upon this way no

complicated relationship for the mass distribution of the

needed ...

Marcel Willem Cornelis Petrus Franse. § 2.3.2 Primary

**polymer**molecules with adiscrete distribution of the molecular weights.* In going from a

**polymer network**system containing molecules with a monodisperse distribution of the molecular

weights to a more general disperse distribution, the next logical step would be to

incorporate a mixture of several monodisperse distributions. Upon this way no

complicated relationship for the mass distribution of the

**polymer**molecules isneeded ...

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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