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Influence of carbon black morphology and surface activity on vulcanizate properties.


In two recent papers (refs. 1 and 2) Herd and coworkers have applied transmission electron microscope/automated image analysis (TEM/AIA) techniques to compare the aggregate morphological mor·phol·o·gy  
n. pl. mor·phol·o·gies
1.
a. The branch of biology that deals with the form and structure of organisms without consideration of function.

b.
 properties of commercial carbon blacks. TEM/AIA offers distinct advantages over colloidal colloidal

of the nature of a colloid.


colloidal bath
a bath containing gelatin, bran, starch or similar substances, to relieve skin irritation and pruritus.
 methods such as dibutyl phthalate Dibutyl phthalate (DBP) is a commonly used plasticizer. It is also used as an additive to adhesives or printing inks. It is soulble in various organic solvents, e.g. in alcohol, ether and benzene.  absorption (DBPA DbpA Decorin-Binding Protein A
DBPA DEAD-box protein A
DBPA Decentralized Blanket Purchase Agreement
DBPA Dual-Band Printed Antenna
) and nitrogen surface area ([N.sub.2]SA) because of its ability to provide distributional information and measurements that pertain to pertain to
verb relate to, concern, refer to, regard, be part of, belong to, apply to, bear on, befit, be relevant to, be appropriate to, appertain to
 specific vehicle systems such as rubber. New image skeletonization techniques (ref. 2) now make it possible to measure the branching in carbon black aggregates and enable better shape classification based on pattern recognition techniques.

The surface activity of carbon blacks has been characterized by Ayala and coworkers (refs. 3-6) using a variety of different methods. These include bound rubber, hydrogen content, oxygen pickup, moisture adsorption adsorption, adhesion of the molecules of liquids, gases, and dissolved substances to the surfaces of solids, as opposed to absorption, in which the molecules actually enter the absorbing medium (see adhesion and cohesion). , SIMS SIMS Secondary Ion Mass Spectrometry
SIMS School of Information Management and Systems
SIMS Sun Internet Mail Server
SIMS Student Information Management System
SIMS Steacie Institute for Molecular Sciences (National Research Council, Canada) 
 analyses, inverse gas chromatography gas chromatography (GC)

Type of chromatography with a gas mixture as the mobile phase. In a packed column, the packing or solid support (held in a tube) serves as the stationary phase (vapour-phase chromatography, or VPC) or is coated with a liquid stationary phase
 (IGC (Integrated Graphics Controller) The inclusion of the video display circuitry on the motherboard. An IGC is typically contained in the chipset, such as the Northbridge. See integrated graphics and IGP.

IGC - Institute for Global Communications
) and calorimetry calorimetry (kăl'ərĭm`ətrē), measurement of heat and the determination of heat capacity . Based on the supporting data from these techniques, a carbon black-elastomer interaction parameter (I) has been developed from stress-strain and dynamic modulus Dynamic modulus is the ratio of stress to strain under vibratory conditions (calculated from data obtained from either free or forced vibration tests, in shear, compression, or elongation). It is a property of viscoelasticity materials.  measurements:

I = [sigma]/[eta] (1)

where [sigma] is the slope of the stress-strain curve in a reasonably linear region (e.g. 100-300% elongation elongation, in astronomy, the angular distance between two points in the sky as measured from a third point. The elongation of a planet is usually measured as the angular distance from the sun to the planet as measured from the earth.  range) and [eta] is a carbon black networking factor based on dynamic elastic modulus elastic modulus
 or elastic constant

In materials science and physical metallurgy, any of various numbers that quantify the response of a material to elastic or springy deflection.
:

[eta] = E' (1% DSA (1) (Directory Server Agent) An X.500 program that looks up the address of a recipient in a Directory Information Base (DIB), also known as white pages. It accepts requests from the Directory User Agent (DUA) counterpart in the workstation. )/E' (25% DSA). (2)

The concept of networking was established by Payne (refs. 7-8) to explain the augmentation AUGMENTATION, old English law. The name of a court erected by Henry VIII., which was invested with the power of determining suits and controversies relating to monasteries and abbey lands.  of dynamic modulus from high to low strain amplitudes. Networking increases with higher carbon black surface area]structure and reduced surface activity, in conjunction with increased loading (ref. 6). The use of the [eta] term in the interaction parameter produces values which are more independent of surface area and structure.

In this article, TEM/AIA measurements of carbon black morphological properties have been correlated with rubber property variations at different levels of the interaction parameter. The primary objectives of this work were:

* To assess the potential of in-rubber aggregate shape measurements for predicting performance variations and;

* To observe the relative influence of different carbon black variables on rubber properties.

Experimental

Carbon black sampling

The sampling of carbon blacks was selected to provide a designed experiment based on systematic variations in particle size Particle size, also called grain size, refers to the diameter of individual grains of sediment, or the lithified particles in clastic rocks. The term may also be applied to other granular materials. , structure and surface activity. These samples represent the same data base employed by Ayala et al (ref. 6). The colloidal and TEM/AIA properties for these carbon blacks are listed in table 1. Surface activity was varied (lowered) by heat treating the carbon blacks in an inert inert /in·ert/ (in-ert´) inactive.

in·ert
adj.
1. Sluggish in action or motion; lethargic.

2.
 atmosphere (nitrogen) at temperatures of 1,100 and 1,500 degrees C.

[N.sub.2]SA and DBPA were measured for all 15 samples. The changes with partial graphitization were relatively insignificant for both of these properties. The compressed DBPA and TEM/AIA measurements (EMSA EMSA Electrophoretic Mobility Shift Assay (molecular biology)
EMSA European Maritime Safety Agency
EMSA Emergency Medical Services Authority (California)
EMSA European Medical Students' Association
, V'/V) were carried out for the untreated carbon blacks only. EMSA is a specific surface area derived from the particle size distribution The particle size distribution[1] ("PSD") of a powder, or granular material, or particles dispersed in fluid, is a list of values or a mathematical function that defines the relative amounts of particles present, sorted according to size. . Dispersions are achieved by high shear mixing (two-roll mill) in cellulose acetate cellulose acetate
n.
Any of several compounds obtained by treating cellulose with acetic anhydride, used in lacquers, photographic film, transparent sheeting, and cigarette filters.
 butyrate butyrate /bu·ty·rate/ (bu´ti-rat) a salt, ester, or anionic form of butyric acid.

bu·ty·rate
n.
A salt or ester of butyric acid.



butyrate

a salt of butyric acid.
 (ASTM ASTM
abbr.
American Society for Testing and Materials
 D 3849 Method D) which minimizes differences in aggregation. For the most part, the EMSA values were similar to the [N.sub.2]SA results, the exception being N231 which gave higher EMSA.

V'/V is a measure of aggregate absorptivity (occlusion occlusion /oc·clu·sion/ (o-kloo´zhun)
1. obstruction.

2. the trapping of a liquid or gas within cavities in a solid or on its surface.

3.
), employing the equivalent sphere model of Medalia (ref. 9). This parameter is a dimensionless number dimensionless number  

A number representing a property of a physical system, but not measured on a scale of physical units (as of time, mass, or distance). Drag coefficients and stress, for example, are measured as dimensionless numbers.
 which measures the within-aggregate void volume relative to the volume of carbon in the aggregate. The V'/V measurements were based on ASTM D 3849, Method C (50 phr carbon black loading in SBR-1500).

The interaction parameter measurements are based on a 45 phr loading in SBR-1500 using the results of Ayala, et al (ref. 6). Measurements were also carried out at 30, 60, 75 and 90 phr. At the higher loadings, however, the wetting of the carbon black aggregates by the polymer becomes more of a problem with the smaller particle size grades. Therefore, the networking factor tends to have too great an influence on I. The best measurements were obtained at low to intermediate carbon black loadings where adequate wetting by the polymer was achieved for all samples. The values for the 45 phr loading ([I.sub.45]) indicated the best overall results based on their relationship to other measures of surface activity, as well as their sensitivity to changes in rubber properties.

Rubber compounding

Carbon black loadings were varied at 30, 45, 75 and 90 phr in the SBR-1500 formulation (100 phr SBR-1500; carbon black at 30, 45, 60, 75 and 90 phr; zinc oxide zinc oxide, chemical compound, ZnO, that is nearly insoluble in water but soluble in acids or alkalies. It occurs as white hexagonal crystals or a white powder commonly known as zinc white.  5 phr; stearic acid stearic acid /ste·a·ric ac·id/ (ste-ar´ik) a saturated 18-carbon fatty acid occurring in most fats and oils, particularly of tropical plants and land animals; used pharmaceutically as a tablet and capsule lubricant and as an emulsifying  2 phr; sulfur 2 phr; and 2 phr benzothiazyl disulfide di·sul·fide
n.
A chemical compound containing two sulfur atoms combined with other elements or radicals. Also called bisulfide.
, not oil extended). Mixing was carried out in a BR internal mixer. Total mixing times were based on the amount of energy required to obtain a dispersion index of 95 or higher (ref. 10). Across each carbon black grade/loading combination (including the partially graphitized samples), mixing energies were kept constant. All compounds were cured at optimum times (based on [t.sub.90]) according to according to
prep.
1. As stated or indicated by; on the authority of: according to historians.

2. In keeping with: according to instructions.

3.
 rheometer rhe·om·e·ter
n.
An instrument for measuring the flow of viscous liquids, such as blood.
 curves.

Rubber testing

Stress-strain data were obtained using ASTM D 412-83 (Method A) employing an automated United Testing System EVI Evi (ē`vī), in the Bible, Midianite king. . Shore hardness was measured by ASTM D 2240-86. Dynamic properties were measured in compression (ref. 11 ) using an Instron Model 1332 dynamic tester. The specimens are Goodrich Flexometer Cylinders (ASTM D 623-78, Method A) which were tested at 24 degrees C, 14.5% mean strain and a frequency of 10 Hz. All compounds were tested in duplicate over a double strain amplitude (DSA) range of 1 to 25%.

Property correlations

The full data base contains 75 rubber compounds which contained the following carbon black variables: Loading - five levels (30, 45, 60, 75 and 90 phr); particle size - three levels; structure - three levels; surface activity - three levels.

All data were analyzed by stepwise stepwise

incremental; additional information is added at each step.


stepwise multiple regression
used when a large number of possible explanatory variables are available and there is difficulty interpreting the partial regression
 multiple linear regression Linear regression

A statistical technique for fitting a straight line to a set of data points.
. The terms in the equations included first and second order, along with two-way first order interactions.

Results and discussion

CB properties which influence elastomer elastomer (ĭlăs`təmər), substance having to some extent the elastic properties of natural rubber. The term is sometimes used technically to distinguish synthetic rubbers and rubberlike plastics from natural rubber.  reinforcement Dannenberg (ref. 12) reviewed the effects of filler-elastomer interaction on reinforcement. He listed a total of 13 molecular processes which have been employed to explain filler fill·er 1  
n.
One that fills, as:
a. Something added to augment weight or size or fill space.

b. A composition, especially a semisolid that hardens on drying, used to fill pores, cracks, or holes in wood, plaster,
 reinforcement of elastomers, but concluded that there is still no satisfactory general theory. Nevertheless, it is well known that carbon black properties such as particle size (surface area), structure and surface reactivity all have a major influence on specific aspects of reinforcement.

Structure - Medalia (ref. 9) and Kraus (ref. 13) have related the influence of structure (DBPA) on rubber stiffness properties (e.g. modulus See modulo. , viscosity) to the occlusion of polymer within the internal voids Internal Void is a doom metal band from Maryland. Biography
Internal Void came together in 1987 and put out 2 demo recordings in the late 80s/early 90s.[1]
 of the carbon black aggregates. Part of this occluded polymer is shielded from stress and acts as an additional loading of carbon black.

The effective volume fraction, [phi]', of a carbon black in a rubber compound can be estimated from DBPA using the following equation developed by Medalia (ref. 9):

[phi]'= [phi] [(1 + 0.02139 DBP DBP Diastolic Blood Pressure
DBP Development Bank of the Philippines
DBP Database Project (Visual Studio File Extension)
DBP DNA Binding Protein
DBP Disinfection Byproduct
DBP Deutsche Bundespost
)]/1.46 (3)

where [phi] is the actual carbon black volume fraction and DBP is the dibutylphthalate absorption in [cm.sup.3]/100g. The [phi]' value expressed in this manner includes both the actual volume fraction and the total amount of polymer occluded within the aggregate void volume. Medalia (ref. 14) has also determined that only about 50% of this occluded polymer is effectively shielded from stress. Based on this hypothesis, the effective volume fraction of carbon black ([V.sub.eff]) may be expressed as:

[V.sub.eff] = 0.5 ([phi]'- [phi]) + [phi] (4)

[V.sub.eff] is associated with the hydrodynamic hy·dro·dy·nam·ic   also hy·dro·dy·nam·i·cal
adj.
1. Of or relating to hydrodynamics.

2. Of, relating to, or operated by the force of liquid in motion.
 and strain amplification elastomer reinforcement mechanisms relating to relating to relate prepconcernant

relating to relate prepbezüglich +gen, mit Bezug auf +acc 
 viscosity and modulus, and has shown a good correlation with these properties across a wide range of carbon black types and loadings (refs. 15-16).

Particle size (surface area) - Boonstra (ref. 17) has expressed the particle size/surface area contribution to elastomer reinforcement in terms of the total interfacial surface area, [S.sub.T], between the carbon black and the polymer. This function may be calculated as:

[S.sub.T], [m.sup.2]/[cm.sup.3] =[phi] * p * (SA) (5)

where [phi] is the carbon black volume fraction, p is the carbon black density in g/[cm.sup.3] and SA is the specific surface area in [m.sup.2]/g. The interfacial surface area governs the stress distribution across the carbon black-polymer interface and is highly related to hysteresis hysteresis (hĭs'tərē`sĭs), phenomenon in which the response of a physical system to an external influence depends not only on the present magnitude of that influence but also on the previous history of the system.  (ref. 18) and strength properties. [S.sub.T] is the primary determinant determinant, a polynomial expression that is inherent in the entries of a square matrix. The size n of the square matrix, as determined from the number of entries in any row or column, is called the order of the determinant.  for tensile strength tensile strength

Ratio of the maximum load a material can support without fracture when being stretched to the original area of a cross section of the material. When stresses less than the tensile strength are removed, a material completely or partially returns to its
 across different carbon black grades but the within-grade maximum value is governed by [V.sub.eff] (refs. 15-16).

Surface activity - The degree of polymer interaction with the carbon black surface represents a third primary property which strongly influences elastomer reinforcement. Reasonably strong carbon black-polymer adhesion is required to restrict molecular mobility in the interfacial region. Without this type of restriction the polymer is free to slip away from the surface, which greatly reduces the influence of carbon black structure on modulus development. Variations in carbon black-polymer adhesion also affect [S.sub.T]. At a given surface area level, weak adhesion increases the level of hysteresis properties such as tan 6 and loss compliance. Failure properties are also affected, but the changes are not as great as the reduction in high strain modulus (e.g. 100 to 300% elongation).

General reinforcement model

The use of [V.sub.eff] and [S.sub.T], nonconjunction with [I.sub.45] to measure surface activity, provides a relatively simple model for studying carbon black reinforcement variations across the different grades. [V.sub.eff] can be determined from either DBPA or compressed DBPA using equations 3 and 4. [S.sub.T] can be calculated from equation 5 using nitrogen surface area, or any of the commonly used surface area measurements such as CTAB CTAB Clear to auscultation bilaterally, see there  or iodine iodine (ī`ədīn, –dĭn) [Gr.,=violet], nonmetallic chemical element; symbol I; at. no. 53; at. wt. 126.9045; m.p. 113.5°C;; b.p. 184.35°C;; sp. gr. 4.93 at 20°C;; valence −1, +1, +3, +5, or +7.  number. The values for the interaction parameters, I, can be determined from the ASTM SBR SBR - Spectral Band Replication  formulation (D 3191). However, optimum cures using a rheometer are required.

In this article, we have employed the [I.sub.45] values of Ayala et al (ref. 6, table 1) which are applicable to the 15 different carbon black samples in this data base. The 45 phr carbon black loading in SBR-1500 is quite similar to the ASTM formulation (50 phr), which would be expected to give a similar overall pattern of results.

The [V.sub.eff] and [S.sub.T] values have been based on the TEM/AIA measurements for V'/V and EMSA which are listed in table 1. The TEM/AIA data have been utilized because they account for the relative aggregate breakdown in rubber, as well as the contribution of particle size distribution to the surface area. In a broad based study such as this, the colloidal measurements ([N.sub.2]SA, DBPA) give comparable results. In the long term, however, it will be desirable to study the individual carbon black properties in more detail using within-grade comparison or across-grade comparisons at fixed loadings. The TEM/AIA measurements offer greater sensitivity in these more comprehensive studies and are more technically correct because they measure aggregate breakdown. This is particularly important in separating the relative influence on aggregate morphology morphology

In biology, the study of the size, shape, and structure of organisms in relation to some principle or generalization. Whereas anatomy describes the structure of organisms, morphology explains the shapes and arrangement of parts of organisms in terms of such
 and surface activity to specific rubber properties.

Aggregate breakdown in rubber - The recent TEM/AIA measurements of Herd, et al (ref. 2) have indicated that aggregate breakdown in rubber increases with increasing DBPA and diminishing NSA NSA
abbr.
National Security Agency

Noun 1. NSA - the United States cryptologic organization that coordinates and directs highly specialized activities to protect United States information systems and to produce foreign
 as shown by the following expression:

Breakdown = 30.5 (DBPA)/(NSA) - 0.605

(NSA) - 0.0011 [(DBPA).sup.2] - 59.8 r = 0.995, [S.sub.E] =0.022 (6)

Here, breakdown is expressed as the fractional change in V'/V from the dry state to rubber, divided by the dry state values. This equation applies to the five untreated carbon blacks listed in table 1. There greater breakdown indicated for the coarser carbon black grades confirms the earlier findings of Gessler (ref. 19).

The V'/V values in table 1 were converted to [V.sub.eff] employing the relationships established by Medalia (refs. 9 and 14).

Heat treat carbon blacks - Previous studies (ref. 20) have shown that carbon blacks drop to a minimum level of elastomer reactivity when heat treated to 1,400-1,500 degrees C in a thermal induction furnace An induction furnace is an electrical furnace in which the heat is applied by induction heating of a conductive medium (usually a metal) in a crucible around which water-cooled magnetic coils are wound. . Once this level has been reached, further treatments at higher temperatures do not significantly influence rubber properties. Four of the carbon blacks in the present study have reached this condition. These are the 1,500 degrees C treated samples for N121, N330, N650 ad N630 which are compared in table 2 (ref. 6) by means of four different parameters relating to surface activity. These measurements are hydrogen content, oxygen content, equilibrium moisture adsorption and [I.sub.45], all of which are at extremely low levels relative to the untreated controls. Note that the N231 sample is not listed in table 2. This is because it was not graphitized on the same level as the other four samples, i.e., its minimum hydrogen content was about 1,000 ppm and the [I.sub.45] value only dropped to 1.26.

If one assumes that there are no significant surface activity variations among the four heat-treated carbon blacks in table 2, then the modulus levels for the vulcanizates containing these samples should be dependent on [V.sub.eff] alone. Figure 1 plots 200% modulus versus [V.sub.eff] for the compounds containing the untreated samples at the five loadings. Considerable scatter scat·ter
v.
1. To cause to separate and go in different directions.

2. To separate and go in different directions; disperse.

3. To deflect radiation or particles.

n.
 is apparent at the higher loadings because of differences in surface activity. In particular, the surface of coarser carbon blacks is more easily accessible to the polymer at the higher loadings. Therefore they develop higher 200% modulus for a given level of [V.sub.eff].

The compounds containing the 1,500 degrees C treated samples are compared in figure 2. Here, the scatter in the modulus values due to the surface activity differences have been eliminated and there is an excellent correlation with [V.sub.eff]. Similar correlations were indicated for static modulus at 100% elongation, and for dynamic elastic modulus at high strain amplitudes. The latter relationship is shown in figure 3 for E' at 25% DSA. The data in figures 2 and 3 strongly support the fact that the modulus differences among these heat-treated carbon blacks are related only to [V.sub.eff], as measured in rubber. It can be argued that the measurements in rubber were only carried out for the standard carbon blacks at one loading. Actual breakdown may vary with both heat treatment and loading. Experiments to determine these factors are planned for future studies. In the meantime Adv. 1. in the meantime - during the intervening time; "meanwhile I will not think about the problem"; "meantime he was attentive to his other interests"; "in the meantime the police were notified"
meantime, meanwhile
, however, the V'/V data appear to give a more accurate representation for the relative levels of carbon black structure in these rubber compounds than either DBPA or compressed DBPA. The compressed DBPA values do, however, support the fact that a higher structure, large particle size carbon black breaks down much more than a small particle size grade at the same DBPA level (e.g. N121 versus N650 in table 1).

Tan [delta] is significantly affected by carbon black loading surface area and surface activity. Again, the surface activity contribution is eliminated for the 1,500 degrees C heat treated carbon blacks. At a constant carbon black loading, the level of tan [delta] increases with higher [S.sub.T] and diminishing surface activity. This property correlation will be illustrated for the full data base in the final section.

Rubber property responses

Property response equations were established for five stressstrain measurements (including Shore hardness) and five dynamic measurements based on the variations in [V.sub.eff], [S.sub.T] and [I.sub.45]. These equations are listed in table 3, along with their respective correlation coefficient Correlation Coefficient

A measure that determines the degree to which two variable's movements are associated.

The correlation coefficient is calculated as:
, standard error and observed property range. The listed variables were all significant at a 95% confidence level.

All of the correlations were reasonably high except for tensile tensile,
adj having a degree of elasticity; having the ability to be extended or stretched.
 which exhibited more complex variations than most of the other properties. Note that the surface activity term (X3) is always present in the equations as an interaction with either [V.sub.eff] or [S.sub.T] . The first and second order [I.sub.45] terms also appear in some of the equations to improve the fit. However, these terms are never entered alone, which is not the case for [V.sub.eff] and [S.sub.T] . Carbon black surface activity primarily governs the magnitude of the polymer response to variations in the effective loading or interfacial surface area, but can also influence microdispersion and rate of cure.

The response equations are useful in determining property relationships but are difficult to interpret visually.

Static modulus and hardness - The variations in modulus (100 to 300% elongation) were predominantly attributable to [V.sub.eff] and [I.sub.45]. As elongation is increased, however, there is also a surface area contribution. The present studies were limited to comparisons of 100 and 200% modulus because many of the breaking elongations were below 300%.

A three-dimensional graphic representation of the 100% modulus equation is illustrated in figure 4. At low levels of [I.sub.45] there is only a small increase in modulus with increasing [V.sub.eff]. The modulus response becomes markedly steeper as both variables are increased. The plot for 200% modulus (figure 5) is similar but the response is much steeper as the two variables increase. With partial graphitization at 1,500 degrees C (far fight), 200% modulus increases with higher [V.sub.eff] up to a level which is about half of that achieved with high carbon black-elastomer interaction (left side of figure). It would be noted that the equation for 200% modulus (table 3) contains [S.sub.T]. Figure 5 represents the response equation prior to the addition of [S.sub.T] , which exerted a relatively small influence. The r value -- 0.951 without the [S.sub.T] terms.

The response equation for Shore hardness was quite simple and indicates that hardness increases with increasing effective loading ([V.sub.eff]) in conjunction with the interaction of [I.sub.45] and [S.sub.T] . A high loading was chosen to include a broad range of [S.sub.T] . The interfacial surface area can be varied independently of [V.sub.eff] by changing the type of carbon black, but was limited to a maximum of about 75 [m.sup.2]/[cm.sup.3] (N121) in the present experimental design. For each 0.05 unit drop in [V.sub.eff], Shore hardness was lowered by about three units across the observed response surface. However, the total area of the response surface becomes smaller at lower [V.sub.eff] because of the reduction in the [S.sub.T] range.

At low values of either [S.sub.T] of [I.sub.45], changes in the other parameter did not significantly affect hardness. At high values for both variables, however, there was about a 15 unit increase in hardness. This is equivalent to a change in [V.sub.eff] of about 0.25.

Tensile and elongation - Rubber properties that involve catastrophic failure A catastrophic failure is a sudden and total failure of some system from which recovery is impossible. The affected system not only experiences destruction beyond any reasonable possibility of repair, but also frequently causes injury, death, or significant damage to other, often  processes are typically more difficult to predict on the basis of carbon black properties. Nevertheless, the graphic representation of the tensile strength equation (figure 6) is quite descriptive. This plot shows tensile as a function of [S.sub.T] and [I.sub.45] at a [V.sub.eff] level of 0.50. Note the dome shape of the response surface. The highest level of tensile is dependent on a combination of relatively high [S.sub.T] and high interaction levels. However, at the highest levels of [I.sub.45] and

there is actually a drop in tensile strength. At very high loadings the inactive samples (partially graphitized) for the finer high DBPA grades gave higher tensile than untreated samples. This was not true for the coarser grades. For example, the 1,500 degrees C sample of N121 gave a tensile strength of 22 MPa at 90 phr which was 4 MPa higher than the untreated control. In contrast, N650 gave about 30% lower tensile for its 1,500 degrees C sample at 90 phr relative to the control. Maximum tensile strength occurred with a [V.sub.eff] level of about 0.30 for all carbon blacks, which is consistent with previous findings (ref. 16). The small particle size grades exhibited well defined tensile maxima while those for the coarser types were quite broad.

The level of carbon black-elastomer interaction exerts a much greater influence on % elongation than [S.sub.T] . Elongation reaches a minimum at the highest levels of [I.sub.45] and [S.sub.T] . The effect is considerably less with decreasing carbon black loading. Again, it should be remembered that the [S.sub.T] range is lower (about half) for [V.sub.eff] = 0.25.

Dynamic modulus - At high strain amplitudes, the response for dynamic elastomer modulus, E', was quite similar to that for 100% static modulus. The overall range for the variations in E' is similar to that for 200% modulus.

At low strain amplitudes, dynamic modulus increases with carbon black surface area because of the networking phenomena (refs. 7 and 8). Carbon black-elastomer interaction continues to exert a significant influence, but not nearly the magnitude observed at high amplitudes. At lower loadings a much flatter response is indicated because of the reduction in networking.

Hysteresis properties - The response for hysteresis at constant strain is shown for the loss modulus E" at 25% DSA in figure 7. The dominant variable is [V.sub.eff], but increasing [S.sub.T] also produces an increase in E". Of interest is the fact that there is no surface activity term in the response equation. Across most of the data base, partial graphitization did not produce any significant change in E". This is probably attributable to the cancelling effects of increased polymer mobility (reduced hysteresis) and the simultaneous increase in carbon black networking and polymer slippage Slippage

The difference between estimated transaction costs and the amount actually paid.

Notes:
Slippage is usually attributed to a change in the spread.
See also: Spread, Transaction Costs



Slippage
 at the surface (higher hysteresis). At the highest carbon black loading (90 phr) there was a slight drop in E" for most of the compounds containing the 1,500 degrees C heat-treated carbon blacks. The exception was N630, which had the lowest levels of [V.sub.eff] and [S.sub.T].

For hysteresis at constant energy input (tan [delta]) all three carbon black variables exerted a significant influence. The response surface for tan [delta] is illustrated in figure 8 with [S.sub.T] and [I.sub.45] being plotted at [V.sub.eff] = 0.50. The values for tan [delta] represent their maximum level, which typically occurs in compression at a DSA in the range of 4 to 5%. The response surface gave a similar pattern at different levels of [V.sub.eff]. A 10% change downward in [V.sub.eff] produced a 15 unit drop in tan [delta] x [10.sup.3]. At low surface activity there is a steep increase in tan [delta] with increasing [S.sub.T] . The surface area influence diminishes greatly at high surface activity, which has been attributed to the reduction in networking (refs. 8, 21 and 22). Payne and Whittaker observed a marked reduction in the tan [delta] peak of carbon black filled HR compounds which were heat treated in the presence of a promoter to improve their microdispersion. Hess and Chirico (refs. 21-22) indicated a similar trend for improved tread grade carbon blacks with higher surface activity. These carbon blacks gave higher treadwear resistance in conjunction with reduced hysteresis.

For hysteresis at constant stress, carbon black-elastomer interaction plays a major role. At [V.sub.eff] = 0.50 there is a very sharp drop in D" with increasing carbon black surface activity. Surface area increases D" up to a limiting value of [S.sub.T] above which the increases in hardness produces a negative effect. At a [V.sub.eff] of 0.25, the response to surface activity is less and the increase in D" with higher [S.sub.T] is greater.

Summary and conclusions

TEM/AIA measurements on carbon black morphology were employed in conjunction with surface activity variations to assess rubber property changes within a designed experiment containing 75 SBR vulcanizates. Rubber property response equations were obtained from stepwise multiple regression Multiple regression

The estimated relationship between a dependent variable and more than one explanatory variable.
 analyses using a reinforcement model based on three primary carbon black properties: The effective volume fraction ([V.sub.eff]); the total interfacial surface are with the polymer ([S.sub.T]); and surface activity. In-rubber TEM/AIA measurements were used to determine the polymer occlusion component of [V.sub.eff]. These measurements were found to be superior to colloidal measurement such as DBPA because they account more precisely for aggregate breakdown and distributional variations in the rubber. The use of three-dimensional graphics provided an excellent means of visualizing the relative contribution for the different carbon black properties. [V.sub.eff] and surface activity were the dominant factors associated with increases in static modulus and high strain dynamic elastic modulus. All other properties were also influenced significantly by [S.sub.T] , the magnitude of these effects generally being dependent on the respective [V.sub.eff] and surface activity levels.

References

1. C.R. Herd, G.C. McDonald and W.M. Hess, Rubber Chem. & Technol. 65, 107 (1992).

2. CR. Herd, G.C. McDonald, R.E. Smith and W.M. Hess, Paper presented at a meeting of the ACS (Asynchronous Communications Server) See network access server.  Rubber Division in Nashville, TN (November, 1992).

3. J.A. Ayala, W.M. Hess, F.D. Kistler and G.A. Joyce, Rubber Chem. & Technol. 64, 19 (1991).

4. J.A. Ayala, W.M. Hess, A.O. Dotson and G.A. Joyce, Rubber Chem. & Technol. 63, 747 (1990).

5. J.A. Ayala, W.M. Hess and G.A. Joyce, Kautsch. Gummi Kunstst., 44 (5), 424 (1992).

6.. J.A. Ayala, W.M. Hess, G.A. Joyce and K.D. Kistler, Paper presented at a meeting of the A CS Rubber Division in Nashville, TN (November, 1992).

7. A.R. Payne, Rubber Chem. & Technol. 37, 1190 (1964).

8. A.R. Payne and R.E. Whittaker, Rubber Chem. & Technol. 44, 440 (1971).

9. A.I. Medalia, J. Colloid colloid (kŏl`oid) [Gr.,=gluelike], a mixture in which one substance is divided into minute particles (called colloidal particles) and dispersed throughout a second substance. . Interface Sci. 32, 115 (1970).

10. W.M. Hess, R.A. Swor and E.J. Micek, Rubber Chem. & Technol. 57, 959 (1984).

11. J.D. Ulmer, V.E. Chinco, and CE. Scott, Rubber Chem. & Technol. 46, 895 (1973).

12. E.M. Dannenberg, Rubber Chem. & Technol. 895 (1973).

13. G. Krause, Rubber Chem. & Technol. 44, 199 (1971).

14. A.I. Medalia, Rubber Chem. & Technol. 45, 1171 (1972).

15. A.M. Gessler, W.M. Hess and A.I. Medalia, Plast. Rubber Process 3, 4 (1979).

16. G.C. McDonald and W.M. Hess, Rubber Chem. & Technol. 50, 842 (1977).

17. B.B. Boonsira in "Rubber Technology, "M. Morton, Ed., Litton Educational Publishing, Inc. (1973).

18. J.M. Caruthers, R.E. Cohen cohen
 or kohen

(Hebrew: “priest”) Jewish priest descended from Zadok (a descendant of Aaron), priest at the First Temple of Jerusalem. The biblical priesthood was hereditary and male.
 and A.I. Medalia, Rubber Chem. & Technol. 49, 1076 (1976).

19 A.M. Gessler, Rubber Chem. & Technol. 43, 943 (1970).

20 W.M. Hess, L.C. Ban, F.J. Eckert and V.E. Chirico, Rubber Chem. & Technol. 41, 356 (1968).

21. W.M. Hess, V.E. Chirico, L.L. Ban and J.D. Ulmer, paper presented .at International Rubber Conference, Munich, Germany (1974).

22. W.M. Hess and V.E. Chirico, Proc. Inst. Rubber Ind., 1st European Conf, Brussels, Belgium (1975).

[Tabular tab·u·lar
adj.
1. Having a plane surface; flat.

2. Organized as a table or list.

3. Calculated by means of a table.



tabular

resembling a table.
 Data Omitted]
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Author:McDonald, G.C.
Publication:Rubber World
Date:Jun 1, 1993
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