The present review comprises five main sections. The first section is
devoted to the synthesis by 'endlinking' processes of homogeneous mode
l networks of well-defined architectures, which can be characterized b
y their structural parameters. In most of the methods developed in our
Institute over the past two decades, linear polymer 'precursor' chain
s, fitted at both chain ends with reactive groups, are first synthesiz
ed. Under selected experimental conditions, the addition of an appropr
iate compound to this alpha, omega-functional polymer, allows the form
ation of model networks, provided no 'syneresis' has occurred. In such
a way, various polymer 'precursors' of known molar mass and narrow po
lymolecularity have been used, such as 'living' poly(styrene), poly(is
oprene), poly(alkyl methacrylates), poly(2-vinylpyridine), as well as
poly(dimethylsiloxane), poly(ethylene oxide) and poly(1,3-dioxolane),
which become the elastic chains of the model networks. Among all these
materials, 'labeled' model networks with deuterated molecules are of
great interest, since they allow one to perform small-angle neutron sc
attering experiments, as is described in the second section of the rev
iew. 'Labeled' poly(styrene) and poly(dimethylsiloxane) have been used
to characterize the spacial distributions of the crosslinks and the c
onformations of elastic chains in the dry, the equilibrium swollen and
uniaxially stretched states. As shown in the third section, uniaxial
deformation and equilibrium swelling data are compared with those aris
ing from rubber elasticity theories and from swelling equations. Alter
nately, interpretation of the experimental data based on 'scaling' con
cepts is developed using the analogy between semidilute solutions and
permanent model networks swollen to equilibrium in a 'good' solvent. I
n the fourth section, it is shown that the use of branching theories a
llows one to evaluate the number of effective crosslinks, as well as t
he extent of the reaction, knowing experimentally the amount of the so
l-fraction in the network. The theories of the equilibrium elastic res
ponse of a collection of nu network chains have been tested using equi
librium swelling and elastic modulus data obtained from poly(ethylene
oxide) model networks. Systematic departures from the predictions of t
he classical theories of rubber elasticity are observed. However, sati
sfactory agreement between theory and experiments is found by the intr
oduction of two additional contributions to the elastic free energy, n
amely the limitation of free fluctuations of the junctions and the ent
anglement effect. In the last section, a new approach based on rheolog
y, kinetics and branching theory is developed. In these studies, poly(
urethane) model networks are used. The rheological behavior of the rea
ction medium is evaluated by measuring the storage and the loss moduli
at various stages of the process, over a wide range of oscillatory sh
ear frequencies. For stoichiometric systems, at a given conversion (de
termined by Fourier transform infra-red spectroscopy), the two moduli
become congruent and proportional to the root square of the frequency
over the entire frequency range. The method used allows one to determi
ne precisely the time at which crosslinking occurs (gel point). This e
xperimental value is in excellent agreement with that arising from bra
nching theory.