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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/compositesa
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    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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