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The effect of fillerfiller and fillerelastomerinteraction on rubber reinforcement
J. Frohlich*, W. Niedermeier, H.-D. Luginsland
Advanced Fillers and Pigments Division, Applied Technology Advanced Fillers, Degussa AG, Harry-Kloepfer-strasse 1, Koeln 50997, Germany
Abstract
The role of active fillers like carbon black and silica has been studied in the rubber matrix for a better understanding of the rubber
performance and the mechanism of reinforcement. In particular the influence of basic properties of carbon blacks, such as specific surfacearea, structure and surface activity on the Payne-effect, was investigated with the Rubber-Process-Analyzer (RPA) which allows a testing of
the strength of the filler network and the filler-polymer interaction in the green compound as well as in the vulcanizate in a wide range of
shear amplitudes. A comparison between carbon black and the silica-silane system leads to further scientific findings for the understanding of
the dynamic behavior of filled rubber compounds.
q 2004 Elsevier Ltd. All rights reserved.
Keywords: Carbon Black
1. Introduction
Despite the fact that carbon black is not only the most
widely used but also the oldest active filler in rubbercompounds and that a huge amount of research work[1] has
been carried out to characterize, describe and understand
this kind of filler, the reinforcement effect in filler-loaded
rubber is not satisfactorily explained.
Since carbon black is an essential ingredient of most
rubber formulations and has a considerable influence on the
performance of the final product, it is important to know how
rubber vulcanizates are affected by the nature of carbon
black. The aim ofthisreport is to givea deeper insight intothe
reinforcement mechanism of the carbon black filler system
by analyzing the strain dependence of the complex modulus
G
*
and the loss factor tand
. The Rubber-Process-Analyzer[2,3] (RPA, Alpha Technologies) allows a very reliable and
detailed investigation of the dynamic behavior on a much
easier and faster way than the common dynamic analysis of
vulcanizates. The main focus of this work lies on the
influence of the nature of carbon black (loading, surface area,
structure and surface activity) on the dynamic properties.
2. Background
Although the reinforcement of rubber by active fillers is a
well-recognized phenomenon the term reinforcement isnot well defined. Briefly it can be stated that reinforcement
means the pronounced increase in tensile strength, tear
resistance, abrasion resistance and modulus far beyond the
values expected on the basis of the Einstein-Guth and Gold
theory [4], taking into account the effects caused by
colloidal spherical particles (hydrodynamic effect) and
occlusion of rubber. The reinforcement of elastomers by
fillers has been studied in depth in numerous investigations
[5] and it is generally accepted that this phenomenon is
dependent, to a large extent, on polymer properties, filler
properties and processing.
Generally speaking, the primary filler factors influencing
elastomer reinforcement are:
The primary particle size or specific surface area, which,
together with loading, determines the effective contact
area between the filler and polymer matrix.
The structure or the degree of irregularity of the filler
unit, which plays an essential role in the restrictive
motion of elastomer chains under strain.
The surface activity, which is the predominant factor
with regard to fillerfiller and fillerpolymer interaction.
1359-835X/$ - see front matter q 2004 Elsevier Ltd. All rights reserved.
doi:10.1016/j.compositesa.2004.10.004
Composites: Part A 36 (2005) 449460
www.elsevier.com/locate/compositesa
* Corresponding author.
E-mail address: [email protected] (J. Frohlich).
http://www.elsevier.com/locate/compositesahttp://www.elsevier.com/locate/compositesa7/29/2019 12504337
2/12
Most of the elastomeric components are deformed
dynamically and specified dynamic properties are required.Therefore the effect of strain amplitude on the dynamic
modulus was observed very intensively. The modulus of
filled rubbers decreases with increasing applied dynamic
strain up to intermediate amplitudes. A detailed study of the
low frequency dynamic properties of filled natural rubber
was carried out by Fletcher and Gent [6] and was later
extended by Payne [7,8]. In cyclic strain tests the shear
modulus can be simply expressed as a complex modulus G*:
G*ZG0CiG00 where G 0 is the in-phase modulus and G00 the
out-of-phase modulus. The phase angle d is given by:
tan dZG 00/G 0.
The addition of fillers to rubber compounds has a strongimpact on the static and dynamic behavior of rubber
samples. Fig. 1 shows the typical behavior of the complex
shear modulus of filled rubber samples versus dynamic
shear deformation. Similar to the model of Payne, we see
the strain-independent part of the modulus as a combination
of the polymer network, the contribution from the
hydrodynamic effect and the modulus resulting from the
in-rubber structure.
(a) The polymer network contribution depends on the
crosslink density of the matrix and the nature of the
polymer.
(b) The hydrodynamic effectin this modelis nothingelse than the effect of strain amplification, resulting from
the fact that the filler is the rigid phase, which cannot be
deformed. As a consequence, the intrinsic strain of the
polymer matrix is higher than the external strain yielding
a strain-independent contribution to the modulus.
(c) The effect of the structure is attributed to the in-rubber
structure, which can be understood as a combination of
the structure of the filler in the in-rubber state (in-rubber
DBP) and the extent of fillerpolymer interaction. The
in-rubber structure is the measure for the occluded
rubber, which is shielded from deformation and there-
fore increases the effective filler content leading also to a
strain-independent contribution to the modulus. The
fillerpolymer interaction can be attributed to physical
(van der Waals) as well as to chemical linkages or a
mixture of both. In the case of the silicasilane system
this interaction is formed by chemical linkages.
(d) The stresssoftening at smallamplitudes is attributed to thebreakdown of the inter-aggregate association respectively
to the breakdown of the filler network. This stress
softening at small deformations, called Payne-effect
[9,10], plays an important role in the understanding of
reinforcement mechanism of filled rubber samples [11].
3. Carbon black characterization
3.1. Specific surface area
The primary particle size or specific surface area ischaracterized by different adsorption methods of specified
molecules. The most widely used adsorption methods are
based on [12]:
(a) The iodine number, which reflects a not true surface
area, because it is affected by porosity, surface
impurities and surface oxidation.
(b) The cetyltrimethyl ammonium bromide (CTAB)
method, which analyzes the so-called external surface
area which corresponds to the accessible surface area of
carbon black for an elastomer.
(c) The BET nitrogen adsorption surface area, which
provides the total surface area including porosity.(d) The Statistical Thickness Surface Area (STSA), which
is an alternative technique for the determination of the
external surface area.
All these measures surface areas are affected in different
ways by the nature of the carbon black surface and have
not to correlate exactly with the actual occupied surface by
an elastomer in a mixture. This should be kept in mind
when physical properties are deduced from the surface
area.
3.2. Structure
The primary particles formed during the initial carbon
black formation stage fuse together building up three-
dimensional branched clusters called aggregates. High-
structure blacks exhibit a high number of primary particles
per aggregate, which is called a strong aggregation, low-
structure blacks show only a weak aggregation. These
aggregates again may form loose agglomerates linked by
van der Waals interactions. The empty space (void volume)
between the aggregates and agglomerates, usually
expressed as the volume of dibutylphthalate (DBP)
absorbed by a given amount of carbon black, is described
Fig. 1. Idealized form of a typical elastic modulus curve.
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by the term structure of carbon black. It is assumed that the
DBP absorption reflects the total carbon black structure
which comprises both aggregates and agglomerates,
whereas the crushed DBP absorption test eliminates loose
agglomerates and easily destroyable aggregates. DBP and
CDBP absorption can be measured very precisely, but do
not give any information about the shape of the aggregates.Furthermore the DBP value does not reflect the actual
structure of the carbon black inside a compound since the
agglomerates change their shape during mixing.
It is also not surprising that the CDBP value does not
have to correlate automatically with the static dynamic
behavior because the agglomerates are separated into
aggregates by the shear forces during mixing and are not
firstly compressed and then dispersed as simulated by the
crushed DBP test. However the size as well as the shape of
the aggregates, which are not characterized by DBP or
CDBP absorption, are important primary carbon black
properties and should be analyzed in detail.
3.3. Surface activity
The third reinforcing parameter, surface activity, a poorly
defined term, but widely used in the filler field, can in a
chemical sense be related to different chemical groups on the
surface. Such are carboxyl, quinone, phenol and lactone
groups. In a physical sense, variations in surface energy
determine the capacity and energy of adsorption. The surface
chemistry of carbon blacks has a significant effect only on the
vulcanization behavior of filled compounds. No direct
correlation has been demonstrated between chemical groups
on the carbon black surface and rubber related properties[1315]. In the case of carbon black the fillerpolymer
interaction is mainly of physical nature (physisorption).
The surface activity can be influenced by heat treatment.
It is well-known that heat treatment of carbon blacks at
temperatures ranging between 1500 and 2700 8C [15]
profoundly changes the carbon black influence on rubber
compound properties. The result is a low level of bound
rubber, a drastic reduction in high strain modulus, tensile
strength and abrasion resistance. The explanation for this
behavior is that during heat treatment the size of the nano-
crystallites, building up the primary particles of carbon
blacks, drastically increases and the arrangement of these
crystallites becomes more ordered. As a consequence the
microstructure is totally changed and the number of high-
energy sites, located at the edges of the crystallites,decreases drastically. This confirms the assumption that
the surface activity of carbon blacks, as far as the capacity of
the surface for adsorption is concerned, has its origin in the
disordered arrangement of the crystallographic structure.
Compared to the highly oriented pyrolytic graphite, the
graphitic structure of graphitized carbon blacks still remains
in a certain way imperfect [16].
4. Experimental
All investigations in the present study were performed
with the rubber process analyzer (RPA); the method and thespecific settings are described elsewhere [17].
All investigated rubber compounds are based on an
emulsion SBR 1500 formulation according to Table 1. The
mixing procedure is given in Table 2.
5. Results
5.1. Influence of carbon black loading
The influence of the carbon black loading on the dynamic
modulus of the green compound as well as of the
vulcanizate can be seen in Fig. 2. The black N 115 was
chosen as example, but in principle the behavior is similar
for all grades of carbon black. The unfilled rubber shows no
indication of non-linearity in the green compound as well as
in the vulcanizate. After adding the filler, the low strain
modulus G0 rises more that the high strain modulus GN,
resulting in a non-linear viscoelastic behavior, known as
Payne-effect G0KGN.
In both cases the overproportional increase of the Payne-
effect with filler loading can be seen. This increase is caused
by the formation of fillerfiller interactions, which are
formed with carbon black loading. This is due to the fact
Table 1
Basic formulation
Stage I
E-SBR 100
Carbon black 60
Other chemicals: ZnO 3; stearic acid 2; wax 1
Stage II
Batch stage I
Stage III
Batch stage II
CBS 1.5
Sulfur 1.5
Table 2
Basic mixing procedure
Stage I Intermix GK 1.5 N
010 Polymers
120 1/2 carbon black, ZnO, stearic acid
230 1/2 carbon black, 6PPD, wax
3 0 Sweep
34.50 Mix
4.50 Sweep
4.560 Mix and dump
Stage II
0.20 Batch stage I
250 Remill at 150 8C
Stage III
0.20 Batch stage II, accelerators, sulfur
2 0 Dump and homogenize on an open mill
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that the inter-aggregate distances become smaller with
rising filler content, and therefore the probability for the
formation of a filler network increases. The comparison of
the G*-curves of the vulcanizate and of the green compound
for fixed loading displays an increase of the Payne-effect
G0KGN during vulcanization. The crosslinkage of the
rubber matrix causes a parallel shift along the G*-axis, see
Fig. 1. As a consequence, the carbon black aggregates must
Fig. 2. Strain amplitude dependence of G* of N 115 at different loadings (a) green compound, (b) vulcanizate.
Fig. 3. Strain amplitude dependence of tan d of N 115 at different loadings (a) green compound, (b) vulcanizate.
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reagglomerate respectively flocculate during the vulcaniza-
tion process, which is possible because of the low viscosity
of the polymer matrix at high temperatures. The effect of
flocculation of fillers in green compounds annealing them atintermediate and high temperatures is of the same nature
and is well-known [18].
Fig. 3 gives the corresponding tan d-curves for the green
compounds and the vulcanizates. At small and intermediate
strains the hysteresis decreases with increasing filler content
in the case of the green compound. The unfilled sample
exhibits the highest tan d level, which is due to the viscous
nature of an unfilled raw polymer. With increasing carbon
black loading filler networking develops and stabilizes
the viscous polymer fluid yielding a diminished hysteresis
behavior at small and intermediate strains. At high strains,
when the filler network is broken down, the viscous polymer
is no longer stabilized and the tan d rises drastically.
The contribution of the breakdown of the fillerfiller
interactions to the hysteresis is not significant in the green
compound because of the already high level of tan d
resulting from the raw polymer.
The absolute values of tan d are considerably reduced in
the vulcanizates due to the crosslinkage of the polymer
matrix. The tan d-curve of the unfilled sample indicates that
there is essentially no hysteresis from the pure gum. Now it
can clearly be seen that the hysteresis increases with carbon
black loading. It can be stated that this hysteresis results
from the breakdown of the increased filler network whose
disruption during straining dissipates energy. So the concept
of filler networking yields a good interpretation of the
Payne-effect both for carbon clack filled green compounds
and vulcanizates, comprising the overproportional increaseof the Payne-effect with filler loading and the increase by
annealing.
It should be noted that the existence of filler networking
is not necessarily corresponding to the existence of a filler
network which is percolated through the whole specimen.
Fillerfiller contacts in local subnetworks are also denoted
as filler networking and yield the Payne-effect.
5.2. Influence of carbon black surface area
Fig. 4 shows the RPA-curves of three carbon black
grades with varied CTAB surface area, but similar structure(Table 3).
First of all it can be recognized that the GN
level at high
strain is comparable for all grades. On the other hand the
initial modulus G0 differs drastically from the variation
Fig. 4. Strain amplitude dependence of G* (a) and tan d (b) of three grades with different surface area but similar structure.
Table 3
Analytical characteristics of the blacks N 115, N 220 and N 339
CTAB (m2/g) DBP (ml/100 g) CDBP (ml/100 g)
N 115 128 113 97
N 220 111 113 101
N 339 92 121 99
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in surface area, the higher the surface area the higher
the Payne-effect which corresponds to the extent of filler
networking. The same tendency is displayed by the graph
tan d versus strain. The influence of the CTAB surface area
on the formation of a filler network can be explained as
follows: the primary particle size diameter decreases with
increasing surface area. At fixed levels of structure and
carbon black loading, both the aggregate size and the inter-
aggregate distance decrease with reduced primary particle
diameter respectively increasing surface area [19]. The
smaller the inter-aggregate distance the higher the prob-ability for the formation of a filler network. Consequently,
the extent of filler networking is more pronounced, when the
surface area rises.
5.3. Influence of carbon black structure
In order to investigate the effect of the carbon black
structure on the complex modulus two ASTM grades N 326
and N 330, which show strong deviations in DBP level, but
almost identical surface areas (Table 4), were selected.
In Fig. 5a, a comparison of the modulus curves of the
blacks N 326 and N 330 demonstrates higher modulus
values for the initial as well as for the final strain
deformation for the black with the higher structure.
Strictly speaking the higher structure of the black N 300imparts a parallel shift of the curve of the black N 326 to
higher G* values. Two consequences can be stated: first an
increase in structure leads to an enhancement in high strain
modulus; second, this increase is independent of the
deformation and is also valid for small strain amplitudes.
The parallel shift indicates that the Payne-effect G0KGN is
not significantly affected by structure. The expected
increase of the Payne-effect by a higher structure might be
compensated to some extent by a better microdispersion
behavior. The macrodispersion for all samples is between 8
and 9 in the well-known Phillips dispersion rating. The
influence of structure alone on the modulus curve can beseen by changes of the high strain modulus, because it is not
affected by surface area (see Fig. 4). The influence of the
surface area on the high strain modulus can be analyzed in
more detail by adding the blacks N 347 and N 375 for
comparison to Fig. 5a (Fig. 5b). Despite the fact that the
surface area of N 375 is higher than for N 347 ( Table 4) the
G* level for the final modulus is higher for N 347. The only
explanation for this behavior is the higher structure of N
347. Studying the order of the blacks regarding the final
Table 4
Analytical characteristics of blacks of the N 300 series
CTAB (m2/g) DBP (ml/100 g) CDBP (ml/100 g)
N 326 81 71 68
N 330 82 102 88
N 347 86 124 97
N 375 95 113 96
Fig. 5. (a) Influence of the structure on the dynamic modulus. (b) Influence of four different blacks of the N 300 series on the dynamic modulus.
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modulus it can be recognized that the order is in line with
the DBP numberthe higher the structure the higher the
final modulus. As seen before, above 57% strain the carbon
black network is destroyed to a certain extent, may be not in
individual aggregates but in the form of unconnected
subnetworks of carbon black, hindering the polymer chain
movement upon straining.
5.4. Influence of carbon black surface activity
One of the objectives of this investigation was to
determine the relative contribution of carbon black
surface activity to the complex modulus curve. In order
to judge the effect of surface activity two carbon blacks
of different structure, but having comparable particle sizeand surface area, were selected for surface modification
by high-temperature treatment (2700 8C) in a nitrogen
atmosphere. Heat treatment is known to change surface
properties without altering the particle size and structure
to any important degree [20]. Thus, with the different
structure levels chosen and the varying surface activity
produced by heat treatment, the effects of these variables
could be studied separately. Despite the fact of similar
surface area and structure levels of graphitized and non-
graphitized grades, the stressstrain behavior is distinctly
different. At low strain amplitudes a stronger filler
networking can be observed in the case of the graphitized
blacks, whereas at high strain the complex modulus is
significantly lowered compared to the corresponding
ASTM grade (Fig. 6).
The deviations are so marked that any fluctuation in
DBP or CTAB number cannot cause these differences.
As a consequence, these changes in complex modulus
behavior can only be attributed to the lowering in surface
activity for the graphitized carbon blacks. It can be
argued that low surface activity results in a decreased
interaction with the rubber phase, providing a reduction
of the high strain modulus and therefore a reduction of
the strain-independent part of G*. On the other hand,
fillerfiller and fillerpolymer interaction are competitive
in a certain way. So it can be understood that for
graphitized blacks, which exhibit a lower fillerpolymer
interaction, as seen before, filler networking should be
more pronounced. This is confirmed by the higher Payne-
effect for the compounds containing the graphitized
grades. Up to now only a deactivation of the surface
activity by heat treatment could be achieved and
investigated. The novel nanostructure blacks, produced
by a physical modification of the carbon black pro-
duction process, are characterized by a high surface
roughness and a large number of high-energy patches or
sites equivalent to a high surface activity. The origin of
the roughness found at the carbon black surface is
explained by a reduced lateral extension of the nano-
crystallites linked with a high degree of geometrical
disarrangement. These crystallites build up the primary
particles [2124]. The active sites of carbon black
particles are attributed to the edges of the graphitic
layers respectively crystallites [15]. Both facts, the
reduced size of the crystallites, leading to a larger
number of crystallites to form the same particle diameter,
as well as the high degree of disarrangement, yield a
large number of edges respectively high-energy sites.
This conclusion is valid in both directions. It is well-known that under heat treatment a growth of the
crystallographic dimension (LA and LC) of the carbon
black takes place at constant primary particle sizes. As
consequence in particular the high-energy sites are
reduced. These sites play a very important role in
elastomer reinforcement [25].
The surface activity of the nanostructure blacks therefore
should be higher compared to conventional ASTM grades.
In order to investigate only variations in surface activity the
ASTM black N 234, graphitized and non-graphitized, and
the nanostructure black EB 171, with almost the same
surface area respectively primary particle diameter and
structure (Table 5), were chosen.
In Fig. 7 the modulus curves of these three blacks show
the expected trends regarding the differences in surface
activity. The high surface activity of the nano-structure
black results in high interaction with the rubber phase,
preventing carbon black network formation and reducing
the low strain modulus.
The differences in high strain modulus are not so
considerable for EB 171 compared to N 234. Nevertheless
the trend of high strain modulus enhancement with
increasing surface activity of vulcanizates containing an
nanostructure black can clearly be seen.
Fig. 6. Complex modulus versus strain for graphitized (N 326 g, N 347 g)
and untreated grades.
Table 5
Analytical data of nanostructure (EB 171) and corresponding ASTM black
CTAB (m2/g) DBP (ml/100 g) CDBP (ml/100 g)
N 234 117 125 102
EB 171 118 125 103
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As expected the tan d curve versus strain gives for all
deformation distinctly lower values for the nanostructure
black regarding the lower filler network, as a consequence
of the strong mechanical/physicochemical interaction withthe polymer resulting from the high surface activity.
5.5. Payne-effect of silica and silicasilane system
It is well-known that silica as a filler itself shows a very
strong filler networking due to poor compatibility to
hydrocarbon rubber, its polar character and the ability to
form hydrogen bonds [26]. In order to study this strong
network two silicas with different surface areas (Table 6)
were investigated in a solution SBR/BR formulation
(Table 7) and compared to the carbon black N 234.
The following explanations based on the so far obtained
findings for carbon black can be also applied to silica. As
can be seen in Fig. 8, the fillerfiller interaction of Ultrasil
7000 GR with the high surface area of 160 m2/g (CTAB) is
significantly higher than the one of Ultrasil VN 2 GR
(Table 7). Based on the G*-curve the following can be
observed: The silica network starts to break down at higherstrain amplitudes due to a stronger filler network formed by
hydrogen bonds compared to carbon black.
This breakdown takes place over a much wider range of
amplitudes. The tan d versus strain curves reflect the same
tendency. In the case of the carbon black the maximum
energy dissipation, due to the breakdown of the filler
Table 7
Solution SBR/BR formulation
Stage I
S-SBR Styrene 25% 96Vinyl 50%
Arom.oil 37.5 pbw
BR cis-1,4O96% 30
Filler 80
Silane Only for silica 6.4
Other chemicals: ZnO 3; stearic acid 2; arom. oil 10; 6PPD 1.5; wax 1
Stage II
Batch stage I
Stage III
Batch stage II
DPG 2
CBS 1.5
Sulfur 1.5
Fig. 7. Complex modulus (a) and tan d (b) versus strain as a function of surface activity.
Table 6
Analytical data of the silicas Ultrasil VN 2 GR, Ultrasil 7000 GR and the
carbon black N 234
CTAB (m2/g) DBP (ml/100 g)
Ultrasil VN 2 GR 125 z185
Ultrasil 7000 GR 160 z235
N 234 125 119
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Fig. 8. Comparison of Ultrasil 7000 GR, Ultrasil VN 2 GR and N 234 regarding complex modulus and tan d.
Fig. 9. Shear modulus G* and tan d of vulcanizates in S-SBR/Br formulation of Ultrasil 7000 GR, Ultrasil 7000 GRCPTES and Uitrasil 7000 GRCSi 69.
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network, is reached at 57% strain, whereas even at 42%
strain the maximum is not reached in the case of the silicas.
The breakdown of the inter-aggregate bonding of the
silica over a broad range of strain amplitudes indicates that
the silicasilica interaction differs strongly from the van der
Waals bonding of carbon black aggregates [27].
The hydrophobation of the silica surface by a mono-
functional alkylsilane (PTES) makes the silica more
compatible with the rubber matrix reducing the filler
networking respectively agglomeration. This can be seen
on the drastically reduced low strain modulus (Fig. 9). Byadding a bifunctional silane TESPT (Si 69) instead of PTES
not only an additional hydrophobation but also a chemical
bonding of filler-to-rubber takes place. This is indicated by
the once again lowered G* level at low strain and a higher
G* level at high strain for Si 69 instead of PTES. The higher
G* value at high strain can clearly be attributed to the
bounded rubber (in-rubber structure) given by chemical
linkages between the silica surface and the rubber matrix via
Si 69 and in the silica structure [28]. Thus it can be stated
that an enhanced high strain modulus indicates a better
fillerpolymer interaction, this is also valid for carbon black.
The effect of the lower filler networking can also be seen in
the lowered tan d curve of Fig. 9.
6. Discussion
6.1. In-rubber structure
As mentioned above in-rubber structure was interpreted
as a combination of the effects caused by the real carbon
black structure in the in-rubber state and the fillerpolymer
interaction. Medalia has proposed [29] that in a carbon
blackrubber system the rubber which fills the void space
within each aggregate is occluded and shielded fromdeformation and thus acts as part of the filler rather than
as part of the deformable matrix. Due to this phenomenon,
the effective volume of the filler is increased considerably
and should of course enhance the high strain modulus
significantly. As can be seen for the graphitized black the
modulus level of the vulcanizate at high strain is lowered
compared to the non-graphitized one (Fig. 6). Due to
the fact that the DBP number of the graphitized and
non-graphitized blacks is on the same level, it can be stated
that the structure in the in-rubber state is nearly ineffective,
if the surface activity of the filler is low. On the other hand,
without enough structure in the in-rubber state, the surface
activity is also relatively ineffective (see Fig. 5, comparisonof N 326 and N 330). Hence, it can be concluded, in-rubber
structure is a measure for the occluded rubberrubber,
which is unable to participate fully in the macrodeforma-
tion. The nature of surface activity in this context can be
attributed to different featureschemical-type (silica
silane), physical-type (carbon black) bondings or both.
Fig. 11. Dynamic modulus G* and tan d vs. temperature in E-SBR (0.1% dynamic strain, 10 Hz, Gabo Explexor).
Fig. 10. Proposed model for the fillerfiller contacts, specific surface area
high (1) and low (2), equal loading.
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As a consequence, the term in-rubber structure explains
immediately the term of reinforcement, defined as modulus
300% divided by modulus 100% in a stressstrain
measurement. Reinforcement is a measure for the strength
of a filler to keep its in-rubber structure respectively to
restrain the occluded rubber at increasing deformation.
6.2. Fillerfiller/fillerpolymer interaction
Silica alone is building up a strong filler network and
shows a low interaction with the polymer. But if a
bifunctional silane is used chemical linkages between the
silica surface and the polymer are formed. Through the
hydrophobation the fillerfiller interaction is lowered.
The bondings are of chemical nature, and therefore polymer
segments cannot undergo surface displacements by mol-
ecular slippages. In the case of carbon black linkages
between the surface and polymer chains are formed only by
physical adsorption. In the past as well as in the presentmolecular slippages along the carbon black surface as well
as adsorption and desorption mechanisms are still under
discussion.
Up to now, it appears almost impossible to clarify exactly
the molecular mechanism of the fillerfiller contacts. All
experimental results known, those reported in this paper and
results from investigations of the dynamic modulus as a
function of temperature might be explained both by direct
filler to filler contacts and fillerfiller contacts which are
separated by a very thin polymer layer with a thickness in
the nanometer range. The existence of such an elastomeric
layer between the particles could at least be confirmed bydielectrical investigations done by Goritz and Lanzl [30].
Therefore the authors prefer the idea of a thin polymer
layer between the filler particles where the mobility of the
molecular polymer chains is restricted to some extent due to
fillerpolymer interaction, depending on the type of the
polymer and the filler to filler distance which is mainly
controlled by the specific surface area and the filler loading
(Fig. 10). In this case, the amount of overlapping areas
containing polymer with lower mobility controls the
hardness of the contacts and as a consequence the dynamic
modulus and the hysteresis during breaking off the contacts
under deformation.
From a steady decrease of the chain mobility near the
boundary of the filler surface one might expect a glass
transition, which has an onset at elevated temperatures. This
should especially be valid if the glass transition is measured
under dynamic conditions at very low strains where the filler
networking is fully active.
Fig. 11 shows the dynamic modulus G* and tan d in
dependence of the temperature and compares an unfilled E-
SBR compound and a compound filled with 50 phr N 234
(0.1% dynamic strain, 10 Hz, Gabo Eplexor). As expected,
an earlier onset of the glass transition of the carbon black
filled sample can be observed in G*, whereas the position of
the tan d maximum is not affected. But is has to be
mentioned that the measured effect is rather small.
7. Conclusion
The present study was undertaken to give a more detailedanalysis of the influence of carbon black morphological
parameters (surface area, structure and surface activity) on
viscoelastic properties of filled rubber compounds. Using
the Rubber-Process-Analyzer the phenomenon, reinforce-
reinforcement of active fillers can be studied with high
accuracy and repeatability. Two essential parameters of
filled rubber are investigated with this apparatus. For the
following conclusions two prerequisites have to be fulfilled:
the crosslink density and the filler loading have to be
constant.
7.1. High strain modulus (O30%)
The complex modulus at high strain indicates the real in-
rubber structure of fillers.
The high strain modulus of carbon black filled
compounds is enhanced only if both, the filler structure
in the in-rubber state and the surface activity of the filler
are high, which means that the in-rubber structure is high
as well. Consequently, the in-rubber structure is com-
posed of two parameters, the actual filler structure in
the in-rubber state and the surface activity of the filler.
The strong enhancement of the high strain modulus by
incorporating carbon black into rubber must be attributed
to the in-rubber structure, which is a direct measure forthe occluded rubberrubber, which is shielded from the
deformation of the matrix leading to an increase in
effective filler volume. Surface activity in this context
can be attributed to chemical-type, physical-type bond-
ings or both.
7.2. Low strain modulus (/5%)
The complex modulus at low strain, exactly G0KGN,
indicates the fillerfiller network.
The higher the filler loading the stronger the filler
networking is marked. Increasing surface area respectively
decreasing primary particle size provide also a higher filler
networking. Both findings can be explained by the fact that
the inter-aggregate distance becomes smaller with increas-
ing surface area as well as loading and thus the probability
of forming a network rises. Filler networking respectively
the Payne-effect G0KGN is decisively responsible for the
hysteresis level at amplitudes up to 10% strain. Therefore
filler networking plays a major role in the dynamic
properties of a tire, namely the rolling resistance, as well
as in the electrical resistance. On the other hand, a higher
surface activity leads to a decrease in filler networking due
to a better fillerpolymer interaction. It can be stated, if
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the affinity of the filler surface to the polymer is increased
respectively decreased, a reduced respectively enhanced filler
networking is the consequence. Therefore fillerfiller and
fillerpolymer interaction are two competitive processes.
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