文档介绍：Recent Advances in the Theory of working
in Elastomers
Gert Heinrich1, Manfred Klüppel2
1Continental AG, Strategic Technology, . Box 169, 30001 Hannover, Germany
E-mail: gert.******@
2Deutsches Institut für Kautschuktechnologie e. V., Eupener Strasse 33, 30519 Hannover,
Germany
E-mail: manfred.******@
Abstract. The viscoelastic properties of (mostly carbon black) filled elastomers are re-
viewed with emphasis on the strain-dependence of plex dynamic modulus (Payne
effect). Considerable progress has been made in the past in relating the typical dynamical
behavior at low strain amplitudes to a cyclic breakdown and reagglomeration of physical
filler-filler bonds in typical clusters of varying size, including the infinite work.
Common features between the phenomenological agglomeration/deagglomeration Kraus
approach and very recent semi-working approaches (two aggregate VTG
model, links-nodes-blobs model, ical cluster-cluster aggregation) are discussed. All
semi-microscopical models contain the assumption of geometrical arrangements of sub-
units (aggregates) in particular work structures, resulting for example from perco-
lation or ical cluster-cluster aggregation. These concepts predict some features of the
Payne effect that are independent of the specific types of filler. These features are in good
agreement with experimental studies. For example, the shape exponent m of the storage
modulus, G¢, drop with increasing deformation is determined by the structure of the cluster
network. Another example is a scaling relation predicting a specific power law behavior of
the elastic modulus as a function of the filler volume fraction. The exponent reflects the
characteristic structure of the fractal filler clusters and of the corresponding work.
The existing concepts of the work breakdown and reformation appear to be ade-
quate in describing the deformation-dependence of dynamic mechanical properties of
filled rubbers. The differe