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 40
... substituting equation ( 2.38 ) for s , into equation ( 2.56 ) we obtain : w ' ( x ) = ( x ) ( 1 - w ! ) พ * The weight fraction of x - mer in the network fraction w ( x ) is equal to : w " ( x ) = · ( 1 - s , ) w ( x ) 1 - w1 ( 2.56 ) ...
... substituting equation ( 2.38 ) for s , into equation ( 2.56 ) we obtain : w ' ( x ) = ( x ) ( 1 - w ! ) พ * The weight fraction of x - mer in the network fraction w ( x ) is equal to : w " ( x ) = · ( 1 - s , ) w ( x ) 1 - w1 ( 2.56 ) ...
Page 48
... equation ( 2.54 ) or ( 2.55 ) . The weight fraction of polymer molecules with a degree of polymerisation x in the ... substituting equation ( 2.81 ) into equation ( 2.79 ) , thereby using equation ( 2.77 ) and ( 2.78 ) , the number ...
... equation ( 2.54 ) or ( 2.55 ) . The weight fraction of polymer molecules with a degree of polymerisation x in the ... substituting equation ( 2.81 ) into equation ( 2.79 ) , thereby using equation ( 2.77 ) and ( 2.78 ) , the number ...
Page 49
... equation ( 2.62 ) . Substituting equation ( 2.82 ) for the number average degree of polymerisation in the network fraction gives : [ 2 ] 1 - w ( 2.84 ) Y = Yn 1- Μ.Σ w ( x ) -1 W M 、 exp│ [ −7 . ( 1 − w111 ) M / M ] W where use has ...
... equation ( 2.62 ) . Substituting equation ( 2.82 ) for the number average degree of polymerisation in the network fraction gives : [ 2 ] 1 - w ( 2.84 ) Y = Yn 1- Μ.Σ w ( x ) -1 W M 、 exp│ [ −7 . ( 1 − w111 ) M / M ] W where use has ...
Common terms and phrases
1,1,2-trichloroethane active network chains average crosslinking index average molar mass average molecular weight calculated 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 ended mesogens equilibrium shear modulus figure Flory fraction of dangling fraction of ideal Franse frequency high shear rates increase kg/mol mijn molecular weight distribution monodisperse distribution N/mē network of polymer network parameters Nijenhuis number and weight number average degree number average molecular number of crosslinks physical network poly(vinyl chloride polydispersity index polymeric primary polymer molecules relationship rheological measurements Schulz-Flory distribution Schulz-Zimm distribution shear rates side chain polymer sol fraction solubility parameter solution of discotic solvent storage modulus strain structure substituting equation temperature tetrafunctional crosslinking unit volume values viscoelastic viscosity w/w solution w₁ weight average crosslinking weight average degrees weight average molecular yield stress zijn