ELSEVIER
PIh S0032-3861(97)10333-0
Polymer Vol. 39 No. 17, pp. 4037-4045, 1998
© 1998 Elsevier Science Ltd
Printed in Great Britain. All rights reserved
0032-3861/98/$19.00+0.00
Effect of intramolecular reaction on the
properties of polybutadiene-silane rubbers
Maria S. Di Nezio, Claudia Sarmoria and Enrique M. Valles*
P/anta Piloto de Ingenier[a Qu[mica, UNS-CONICET, 12 de octubre 1842, (8000) Bah[a
Blanca, Argentina
(Received 24 January 1997;revised 23 June 1997;accepted 25 November 1997)
Model networks were prepared by the reaction of monodisperse polybutadiene, containing 8% of double bonds in
the 1,2 vinyl position, with p-bis(dimethyl silyl) benzene at different stoichiometric imbalances. Small strain
modulus and measurements of the gel fraction indicate important differences with the predictions from ideal
network forming reactions and the molecular theories of rubberlike elasticity. Sol extractions are higher than
expected and small strain moduli are consistently low. Other macroscopic signs of the departure from ideal
behaviour are detected. The onset of the gel point is delayed to a degree that grows with increasing imbalance of the
reactive groups. We consider all the possible explanations for the observed behaviour, and suggest that the most
likely one is the presence of intramolecular reaction. We also propose a simple theoretical model to confirm that our
assumptions are consistent with the experimental results. © 1998 Elsevier Science Ltd. All rights reserved.
(Keywords: intramolecular reaction; polybutadiene-silane robbers; model networks)
INTRODUCTION
Different theories have been proposed to relate the
molecular structure of rubber networks to their elastic
properties. One of the major controversies in this respect is
that concerning the contribution of molecular entangle-
ments. The phantom network model considers a network
composed of a collection of Gaussian random chains whose
conformations are independent of neighbouring chains. In
this idealized behaviour the junctions at which the chain
ends are connected can fluctuate freely, that is, all chains
may adopt any conformation. This 'phantom chain'
formulation gives, for the shear modulus G, the following
resultl,2:
G = (v - tx)RT (1)
where p and # are the concentrations of elastically active
chains and junctions, respectively, R is the universal gas
constant and T is the absolute temperature. In this model
the effect of entanglements resulting from the excluded
volume due to chain-to-chain interactions is not taken into
consideration.
Revisions of the phantom theory to take the effect of
entanglements into account form the basis of various current
molecular theories of rubber elasticity. The so called 'affine
deformation' model 3-7 assumes that the deviation of real
networks from phantom networks results from restrictions
affecting the mobility of the chain junctions. From this point
of view the constraints imposed by the presence of
entanglements alter the independent fluctuation of the
junctions making them move in a fashion that is affine
with the macroscopic deformation of the network. Under
this supposition the following expression is obtained:
G = ~RT (2)
* To whom correspondence should be addressed
Other research groups consider that chains contribute to the
mechanical properties not only through their junction
points, but also through contacts along their contour. This
is based on the experimental observation of a rubbery pla-
teau modulus, G ° , for linear polymers of high molecular
weight, something that indicates that chain-chain interac-
tions must be present in uncrosslinked samples. Some of
those interactions could conceivably become trapped as
crosslinks are introduced into the system, and these trapped
entanglements would contribute to the shear modulus.
Based on these arguments Langley 8 and Graessley9,t° pro-
posed that
G = (~ - h/z)RT + GeTe (3)
where Ge is the 'entanglement modulus', close to ~, T e is
the entanglement trapping factor, and h is a factor that may
vary between 0 and 1. Equation (3) is the most general
because it contains equations (1) and (2) as special cases.
We see from equation (3) that in order to get the phantom
chain formulation GeTe must be zero. It has been shown that
5 "7
this is very unlikely -. The phantom chain formulation,
then, is a lower bound on the admissible values of shear
modulus.
The initial goal of this work was to investigate the
contribution of entanglements with a well-defined experi-
mental system. The crosslinking of polybutadienes (PB) of
narrow molecular weight distributions was chosen because
this polymer has a high plateau modulus. It was expected
that this property would be helpful in evaluating the term
that accounts for trapped entanglements in equation (3). The
pendant vinyl groups from the PB were crosslinked with a
bifunctional silane using the hydrosilation reaction. Differ-
ent networks were obtained using a range of stoichiometric
imbalances. They went from values around unity--which
implies perfect crosslinking of all vinyl groups--to the so
called 'critical imbalance', beyond which gelation is
impossible. The resulting networks exhibited higher soluble
POLYMER Volume 39 Number 17 1998 4037