EPDM-metallocene plastomer blends for W&C.The market for EPDM EPDM Ethylene-Propylene-Diene-Monomer EPDM Enterprise Product Data Management EPDM Ethylene Propylene Dimonomer (industrial/commercial piping/plumbing components) EPDM Engineering Product Data Management based distribution cable in the U.S. has grown roughly from 10% in 1983 to over 30% today (ref. 1). This increase has resulted from both overall market growth for distribution cable and replacement of cross-linked polyethylene For the BitTorrent peer-to-peer protocol feature, see . Cross-linked polyethylene, commonly abbreviated PEX or XLPE, is a form of polyethylene with cross-links. (XLPE XLPE Cross Linked Polyethylene ) with EPDM based cable. EPDM cable users cite long service life (30+ years), better thermal stability at higher operating temperatures (105[degrees]C continuous use temperature rating) and flexibility that permits ease of installation as some of the factors for its selection (ref. 1). These superior qualities combined with inherent water tree resistance and low crystallinity make EPDM based insulations more attractive than XLPE (refs. 2 and 3). For these reasons, the market for EPDM based cable is expected to grow significantly in the foreseeable future. Recently, a new advanced EPDM synthesized syn·the·sized adj. 1. Relating to or being an instrument whose sound is modified or augmented by a synthesizer. 2. Relating to or being compositions or a composition performed on synthesizers or synthesized instruments. with conventional catalysts, designated as Vistalon 1703P, has been introduced for wire and cable applications (refs. 4 and 5). The polymer, which contains vinyl norbornene (VNB VNB Verrazano-Narrows Bridge VNB Violent New Breed (gaming clan) VNB Very Naughty Boy VNB Veritas Netbackup ) as the termonomer, has a unique combination of polymer attributes such as low metal residues, a high degree of long chain branching and low diene Dienes are hydrocarbons which contain two double bonds. Dienes are intermediate between alkenes and polyenes. Classes Dienes can be divided into three classes:
[FIGURE 1 OMITTED] In addition to conventional EP(D)M, metallocene plastomers such as ethylene-butene (EB) and ethylene-octene (EO) copolymers also have attributes suitable for wire and cable applications (refs. 6-10). By the term plastomers, we refer to a new family of ethylene ethylene (ĕth`əlēn') or ethene (ĕth`ēn), H2C=CH2, a gaseous unsaturated hydrocarbon. It is the simplest alkene. higher [alpha]-olefin copolymers in the density range of 0.865-0.905 g/cc. These products, made with a single-site metallocene catalyst Metallocene catalyst A transition-metal atom sandwiched between ring structures having a well-defined single catalytic site and well-understood molecular structure used to produce uniform polyolefins with unique structures and physical properties. , have a uniform compositional distribution, where every polymer chain has about the same composition, and a narrow molecular weight distribution ([M.sub.w]/[M.sub.n] [approximately equal] 2.0) compared to products synthesized from conventional multi-site catalysts. Plastomers have found wide acceptance in automotive applications as impact modifiers for polypropylene polypropylene (pŏl'ēprō`pəlēn), plastic noted for its light weight, being less dense than water; it is a polymer of propylene. It resists moisture, oils, and solvents. resins in thermoplastic olefin ThermoPlastic Olefin (TPO) is a trade name that refers to polymer/filler blends usually consisting of some fraction of PP (polypropylene), PE (polyethylene), BCPP (block copolymer polypropylene), rubber, and a reinforcing filler. compounds, and are now being applied in other market segments such as construction and consumer goods consumer goods Any tangible commodity purchased by households to satisfy their wants and needs. Consumer goods may be durable or nondurable. Durable goods (e.g., autos, furniture, and appliances) have a significant life span, often defined as three years or more, and . In this article, we explore blends of conventional EPDM elastomers and metallocene plastomers in a filled compound designed for medium voltage wire and cable insulation. Using a Mixture Design of Experiments approach, the influence of varying the levels of EPDM, plastomer and filler on compound performance attributes are investigated. Optimal compounds that have the most favorable combination of cure properties, mechanical properties, beat aging properties and processability are identified and validated by experimentation Adv. 1. by experimentation - in an experimental fashion; "this can be experimentally determined" experimentally, through an experiment . The results of this study will be of significant interest to wire and cable compounders pursuing the development of novel compounds with enhanced properties and potentially lower cost. Experimental Materials The characteristics of the EPDM and plastomer grades used in this study are shown in tables 2a and 2b, respectively. Three commercial grades of EPDM were used in this study, Vistalon 1703P, Nordel 2722 and Vistalon 8731. Each grade is synthesized with a different diene termonomer; vinyl norbornene, 1,4-hexadiene and ethylidene norbornene, and are referred to here as EPDM-VNB, EPDM-HEX and EPDM-ENB, respectively. All EPDM grades were made with conventional Ziegler-Natta catalysts A Ziegler-Natta catalyst is a reagent or a mixture of reagents used in the production of polymers of 1-alkenes (α-olefins). Ziegler-Natta catalysts are typically based on titanium compounds and organometallic aluminium compounds, for example triethylaluminium, (C2 , and have been applied in commercial wire and cable applications. Two commercial plastomer copolymers having similar melt index (MI) and density were used; Exact 4033 containing butene bu·tene n. Any of several forms of butylene. butene See butylene. Noun 1. butene - any of three isomeric hydrocarbons C4H8; all used in making synthetic rubbers as comonomer co·mon·o·mer n. One of the compounds that constitute a copolymer. (EB) and Exact 8201 containing octene as comonomer (EO). These polymers are closer to the polymer characteristics of the EPDM grades typically used in medium voltage insulation. Plastomer polymer attributes, such as low density and low MI, translate into good flexibility required for cable installation and sufficient melt strength to limit sagging sag v. sagged, sag·ging, sags v.intr. 1. To sink, droop, or settle from pressure or weight. 2. during cable manufacture. Both grades were made with a single-site metallocene catalyst and therefore have narrow molecular weight distribution and compositional distribution. Polymer characterization Polymer molecular weights are measured from both conventional GPC (1) A PC that uses the Linux-based gOS operating system. See gOS. (2) (GPC Group) Originally the Graphics Performance Characterization committee of the NCGA, the GPC Group is now part of Standard Performance Evaluation Corporation (SPEC) and oversees the following using differential refractive index A property of a material that changes the speed of light, computed as the ratio of the speed of light in a vacuum to the speed of light through the material. When light travels at an angle between two different materials, their refractive indices determine the angle of transmission detector (DRI See Digital Research. ) and low angle laser light scattering (LALLS LALLS Low-Angle Laser Light Scattering LALLS Low Angle Laser Light Scanning ) detectors. Lower moments of the molecular weight distribution, such as number average molecular weight (Mn), are obtained using DRI. Higher moments, weight average molecular weight The weight average molecular weight is a way of describing the molecular weight of a polymer. Polymer molecules, even if of the same type, come in different sizes (chain lengths, for linear polymers), so we have to take an average of some kind. (Mw) and Z average molecular weights (Mz), are obtained from light scattering. The relative degree of branching of the EPDM terpolymers is quantified using the branching index (BI). This index is calculated from (i) [M.sub.w], LALLS; (ii) [M.sub.w], DRI; (iii) viscosity average molecular weight [M.sub.v], DRI; and (iv) inherent viscosity (IV) measured in decalin at 135[degrees]C. The branching index is defined by: BI = ([M.sub.v, br] * [M.sub.w], DRI)/([M.sub.w], LALLS * [M.sub.v], DRI) where [M.sub.v, br] = k [(IV).sup.1/a] and `a' is the Mark-Houwink constant (= 0.759 for EPDM in decalin at 135[degrees]C). The branching index for a linear polymer is 1.0, and decreases with increasing levels of branching. For plastomers, the melt index ratio (MIR) is commonly used to assess the extent of processability. It is defined as the ratio of the melt index measured with a 21 kg weight to a 2.16 kg weight. A polymer with a higher MIR is prone to more shear thinning A pseudoplastic material is one in which viscosity decreases with increasing rate of shear (also termed shear thinning). This property is found in certain complex solutions, such as ketchup, whipped cream, blood, paint, and nail polish. , indicative of enhanced processability. Polymer viscoelastic Adj. 1. viscoelastic - having viscous as well as elastic properties natural philosophy, physics - the science of matter and energy and their interactions; "his favorite subject was physics" properties were obtained using the Rubber Process Analyzer 2000 instrument from Alpha Technologies. The experiments were performed in an oscillatory oscillatory characterized by oscillation. oscillatory nystagmus see pendular nystagmus. mode at temperatures ranging from 80[degrees]C to 125[degrees]C, constant strain of 14% (1[degrees]arc) and oscillating os·cil·late intr.v. os·cil·lat·ed, os·cil·lat·ing, os·cil·lates 1. To swing back and forth with a steady, uninterrupted rhythm. 2. frequency ranging from 0.21 to 209 rad/sec. The 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. (G'), the loss modulus See modulo. (G") and the complex viscosity ([eta] *) were measured at varying frequencies. Compounding and testing Table 3 shows a typical medium voltage cable insulation compound, known in the wire and cable industry as 3728. The additive ingredients used in our formulations are identical to the ingredients listed in table 3. The blends of plastomer, EPDM and silane silane or silicon hydride Any of a series of inorganic compounds of silicon and hydrogen with covalent bonds and the general chemical formula SinH(2n + 2). treated calcined clay were mixed in a 1,600 cc internal mixer using a volumetric volumetric /vol·u·met·ric/ (vol?u-met´rik) pertaining to or accompanied by measurement in volumes. vol·u·met·ric adj. Of or relating to measurement by volume. fill factor of 75%. The density of the compounds ranged from 1.04 to 1.23 gm/cc, depending on the proportion of EPDM, plastomer and filler in the formulation. A conventional mixing procedure (polymer first followed by clay and additive ingredients) was used. The total mixing time was seven minutes. The clay was added in three stages at different time intervals for effective incorporation. The dump or discharge temperature of the compounds was typically 120[degrees]C. The compounds discharged from the mixer were sheeted out on a two roll mill. The peroxide peroxide (pərŏk`sīd), chemical compound containing two oxygen atoms, each of which is bonded to the other and to a radical or some element other than oxygen; e.g. curatives were added on the mill and ingested in·gest tr.v. in·gest·ed, in·gest·ing, in·gests 1. To take into the body by the mouth for digestion or absorption. See Synonyms at eat. 2. into the compound. The computer program Design Expert was used for formulating the mixture experiments and performing optimization. The compounds were press cured for 20 minutes at 165[degrees]C. Compound cure, mechanical, heat aging and electrical properties were determined 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. ASTM ASTM abbr. American Society for Testing and Materials procedures shown in table 4. Compound processability measurements were conducted on a single screw extruder. The length to diameter (L/D L/D Labor and Delivery L/D Lethal Dose L/D Lift/Drag (ratio) L/D Low Dynamic L/D Limiter/Discriminator L/D Loading / Discharging Rate (shipping) ) of the extruder screw is 20/1, the compression ratio compression ratio Degree to which the fuel mixture in an internal-combustion engine is compressed before ignition. It is defined as the volume of the combustion chamber with the piston farthest out divided by the volume with the piston in the full-compression position ( is 2/1. A constricted con·strict v. con·strict·ed, con·strict·ing, con·stricts v.tr. 1. To make smaller or narrower by binding or squeezing. 2. To squeeze or compress. 3. die with a land length of 0.132 cm and diameter of 0.170 cm was selected for producing cylindrical cyl·in·dri·cal adj. Of, relating to, or having the shape of a cylinder, especially of a circular cylinder. extrudates. Extrusion was performed over a range of screw speeds, varying from 25 to 100 rpm. The smoothness of the extrudates was analyzed using a surface roughness tester. The instrument is equipped with a diamond stylus stylus: see pen. (1) A pen-shaped instrument that is used to "draw" images or select from menus. Styli (the plural of stylus, pronounced "sty-lye") come with handheld devices that have touch screens, such as PDAs and video games. that moves over the surface of the extrudate under examination and records the surface irregularities. The imperfections appear as ridges or "shark skin" on the extruded strands. The peak to valley depth of these irregularities is an indication of the roughness of the extrudate. This vertical distance measured by the stylus is designated as [R.sub.t] (mm). A high value of [R.sub.t] indicates that the surface is rough and prone to inch fracture. The inverse of [R.sub.t], 1/[R.sub.t], is used as a measure of the surface smoothness of the extrudates. Results and discussion Polymer properties The structure characteristics and molecular weights of the EPDM terpolymers and plastomer copolymers used in this study are listed in tables 2a and 2b, respectively. The EPDM polymers differ widely in their degree of branching. EPDM-HEX and EPDM-ENB have moderate levels of branching (BI [approximately equals] 0.5), while EPDM-VNB is highly branched (BI = 0.1). The high degree of branching in EPDM-VNB is realized through the incorporation of the VNB termonomer. The mechanism of branching in VNB is through Ziegler polymerization polymerization Any process in which monomers combine chemically to produce a polymer. The monomer molecules—which in the polymer usually number from at least 100 to many thousands—may or may not all be the same. of the pendant pendant or pendent In architecture, a sculpted ornament suspended from a vault or ceiling, especially an elongated boss (carved keystone) at the junction of the intersecting ribs of the fan vaulting associated with the English Perpendicular style. double bond, which facilitates extensive branching at low diene levels in the polymer. In contrast, branching in EPDM-ENB and EPDM-HEX is predominantly through cationic cationic having qualities dependent on having free cations available. cationic detergents are wetting agents that disrupt or damage cell membranes, denature proteins and inactivate enzymes. coupling of the termonomer, which restricts the extent of branching at low levels of unsaturation un·sat·u·rat·ed adj. 1. Of or relating to an organic compound, especially a fatty acid, containing one or more double or triple bonds between the carbon atoms. 2. Capable of dissolving more of a solute at a given temperature. . The EPDM-VNB was used as the EPDM component in the mixture DOE. Two metallocene plastomers, EB and EO, with similar melt index ([approximately equals] 1.0 dg/10 min.) and density ([approximately equals] 0.88 g/cc) were selected for this study. The plastomer resins have low melt index (i.e., high molecular weight), which provides melt strength in the compound, and low density that makes the cable flexible over a wide range of operating temperatures. The plastomers are polymerized with [alpha]-olefins of varying side chain length and amount. The EO polymer, which has a longer [alpha]-olefin side chain length than EB, requires fewer comonomer units to disrupt the ethylene crystallinity. Therefore, for the same density, the EO plastomer will have a lower mole fraction mole fraction n. The ratio of the moles of one component of a system to the total moles of all components present. octene compared to mole fraction butene in EB. The plastomers also vary in MIR, MIR of EO > EB. These differences enable us to study the impact of (1) size and concentration of [alpha]-olefin and (2) differences in MIR of the polymers on compound properties and processing. The size and concentration of [alpha]-olefin in the polymers significantly affects the degree to which polymer chains entangle en·tan·gle tr.v. en·tan·gled, en·tan·gling, en·tan·gles 1. To twist together or entwine into a confusing mass; snarl. 2. To complicate; confuse. 3. To involve in or as if in a tangle. . The number of entanglements (i.e., entanglement density) in the polymer has a profound effect on compound properties such as filler acceptability, maximum curemeter torque [M.sub.H], adhesion (i.e., tack), blend compatibility and physical properties (ref. 11). The plateau modulus, [G.sub.N.sup.0], is a fundamental viscoelastic property that represents the degree of chain entanglement in the polymer. The plateau modulus is defined according to the theory of rubber elasticity Rubber elasticity, also known as hyperelasticity, describes the mechanical behavior of many polymers, especially those with crosslinking. Invoking the theory of rubber elasticity, one considers a polymer chain in a crosslinked network as an entropic spring. as: [G.sub.N.sup.0] = [rho]RT/[M.sub.e] where [rho] stands for the density, R is the universal gas constant universal gas constant: see gas laws. , T the absolute temperature and [M.sub.e] is the entanglement molecular weight (i.e., the chain molecular weight between two entanglement junctions). [G.sub.N.sup.0] is independent of molecular weight ([M.sub.n]) and molecular weight distribution (mwd). The plateau modulus of EPDM, EB and EO polymers was calculated using two different techniques (ref. 12) based on viscoelastic data of G'(storage modulus), G" (loss modulus), [G.sup.*] (complex modulus), tan [delta] (damping factor
In audio system terminology the damping factor gives the ratio of the rated impedance of the loudspeaker to the source impedance. = G"/G') versus frequency at varying temperatures and a constant strain of 14%. The transition from terminal zone to the plateau zone is distinct for polymers that have a high molecular weight and narrow mwd (ref. 13). With increasing mwd, the width of rubbery plateau decreases, making experimental determination of [G.sub.N.sup.0] more difficult. For highly branched polymers such as EPDM-VNB, the viscoelastic response of the polymer is already in the plateau region. The experimental methods do not work in this case. Since [G.sub.N.sup.0] is primarily dependent on the composition (ethylene content), a less branched EPM EPM equine protozoal myeloencephalitis. copolymer copolymer: see polymer. with similar composition as the EPDM-VNB was used in the analysis. Table 5 shows the calculated plateau modulus results for the different polymers. There are some subtle differences in the calculated values using the methods, but the comparisons between the polymers are consistent. From the data in table 5, the plateau modulus for the EO polymer is significantly lower in comparison to EPM and EB. This reflects a lower density of entanglements relative to EPM and EB. The longer side branches of the octene comonomer make the EO polymer chains more "bulky" (i.e., has greater steric steric /ste·ric/ (ster´ik) pertaining to the arrangement of atoms in space; pertaining to stereochemistry. ster·ic or ster·i·cal n. hindrance hin·drance n. 1. a. The act of hindering. b. The condition of being hindered. 2. One that hinders; an impediment. See Synonyms at obstacle. ) in comparison to the more "slender" EPM and EB chains (ref. 14). Consequently, the EO polymer chains arc more stiff (i.e., more restricted chain conformation con·for·ma·tion n. One of the spatial arrangements of atoms in a molecule that can come about through free rotation of the atoms about a single chemical bond. ) and, in turn, entangle to a less degree. This difference in the degree of entanglements of the polymers, as will be discussed in more detail later, has a profound effect on compound properties. Studies have shown that the presence of LCB LCB Liquor Control Board LCB Legislative Counsel Bureau (Nevada) LCB Le Cordon Bleu (College of Culinary Arts) LCB Linnaeus Centre for Bioinformatics (Sweden) can have a significant impact on the processing of polyolefins (ref. 15). Long chain branches, in contrast to the shorter [alpha]-olefin side branches, are long enough to entangle with surrounding chains (i.e., > [M.sub.e]) and thus impact the rheological rhe·ol·o·gy n. The study of the deformation and flow of matter. rhe o·log behavior of the polymer. Previously, we have
shown that EPDM-VNB has better processability, demonstrated by extrusion
at fast rates with smooth surface, than EPDM-HEX and EPDM-ENB.
Viscosity-shear rate data on the three EPDM polymers at 125[degrees]C is
shown in figure 2a. EPDM-VNB exhibits a greater degree of shear thinning
than EPDM-HEX and EPDM-ENB, resulting in improved processability at
higher shear rates Shear rate is a measure of the rate of shear deformation:![]() For the simple shear case, it is just a gradient of velocity in a flowing material. . The large decrease in viscosity is consistent with the concept that branched chains Noun 1. branched chain - an open chain of atoms with one or more side chains attached to it open chain - a chain of atoms in a molecule whose ends are not joined to form a ring are restricted in their ability to reptate (i.e., snake-like motion of stress relaxation Stress relaxation describes how polymers relieve stress under constant strain. Because they are viscoelastic, polymers behave in a nonlinear, non-Hookean fashion.[1] and diffusion) as compared to more linear chains. The level of long chain branching in the polymers is consistent with the surface smoothness hierarchy demonstrated by the polymers in compound, EPDM-VNB > EPDM-HEX > EPDM-ENB. [FIGURE 2 OMITTED] Figure 2b shows the viscosity-shear rate behavior for EB and EO at 125[degrees]C. The EO sample shear thins, lower viscosity at higher shear rates, to a greater extent than EB, which is more Newtonian in its flow properties. The melt index ratio (MIR) is used as a general measure of the sensitivity of a polymer to shear. The EO polymer has a higher MIR, as shown in table 2b, than the EB polymer, signifying that it has a higher level of long chain branching. The EO polymer, which is more non-Newtonian in its flow characteristics, is anticipated to have better processability than EB. The effect of short chain branches (comonomer effect) is not taken into account in this discussion, but may also be important (ref. 16). Mixture experimental design Design of Experiments (DOE) is an efficient process for exploring the functional relationship between the measured response (e.g., compound properties) and the controllable factor (e.g., polymer, filler). These mathematical relationships, which are based on statistical regression Noun 1. statistical regression - the relation between selected values of x and observed values of y (from which the most probable value of y can be predicted for any value of x) regression toward the mean, simple regression, regression models, provide the basis for optimizing formulations to meet the compounder's objectives. DOEs generally fall into two broad categories (refs. 17 and 18): * Factorial factorial For any whole number, the product of all the counting numbers up to and including itself. It is indicated with an exclamation point: 4! (read “four factorial”) is 1 × 2 × 3 × 4 = 24. designs (including response surface designs); * mixture designs. Factorial designs are commonly used for screening multiple factors that are likely to influence the response, and isolating the vital few from the trivial many. Full factorial designs consist of all combinations of factors set to high and low levels. When a large number of factors is present, only a small fraction of the experiments needs to be completed in order to identify the main factors and the interaction effects between factors. When the response depends on the relative proportions of the factors, and not on the amount of the factors per se, factorial designs are not very meaningful (ref. 19). For these situations, mixture designs are more appropriate. In a mixture experiment, the sum of all the factors in the mixture must add up to a set total (e.g., 100%). In this article, mixture designs arc used to (1) explore the impact of plastomer level (0 - 100 phr) and plastomer type (EB vs. EO) on compound properties and (2) determine the optimal combination of ingredients (EPDM, plastomer and filler) that yields a compound with the most favorable balance of properties. Blends of EPDM-VNB and plastomer were formulated using a three component mixture design. The design basis is shown in table 6. Table 7 shows the list of design variables and the ranges over which they were varied. The EPDM-VNB and plastomer were allowed to vary over the range of 0-100 parts per hundred rubber (phr), while the clay was allowed to vary between 30-70 phr. Formulations with low levels of clay were included in this study to explore the possibility of developing a low filler compound with improved electrical properties (e.g., low dielectric loss). The rest of the ingredients in the formulation (antioxidant antioxidant, substance that prevents or slows the breakdown of another substance by oxygen. Synthetic and natural antioxidants are used to slow the deterioration of gasoline and rubber, and such antioxidants as vitamin C (ascorbic acid), butylated hydroxytoluene , vinyl silane, 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. , red lead, paraffin wax paraffin wax Mixture of organic compounds traditionally derived from petroleum but also obtained synthetically. It usually consists of alkane hydrocarbons (also called paraffins) and is used for coating and sealing, for candles, and in floor waxes, lubricants, waterproofing , low density polyethylene Low-density polyethylene (LDPE) is a thermoplastic made from oil. It was the first grade of polyethylene, produced in 1933 by Imperial Chemical Industries (ICI) using a high pressure process via free radical polymerisation [1]. and peroxide) were all held constant at the levels shown in table 3. Design points were selected using a mathematical procedure called d-optimal algorithm that evenly distributes the experimental points in the design space. The d-optimal protocol generates 14 design points for each EPDM/plastomer blend, corresponding to a quadratic quadratic, mathematical expression of the second degree in one or more unknowns (see polynomial). The general quadratic in one unknown has the form ax2+bx+c, where a, b, and c are constants and x is the variable. model that was selected to fit the response. The quadratic model is of the form: [Y.sub.i] = [SIGMA] [A.sub.i] [X.sub.i] + [SIGMA][SIGMA], [B.sub.ij] [X.sub.i] * [X.sub.j (i [not equal to] j]) where Y is the response variable and X represents the factors. This model captures both main effect terms (A coefficients) and the two factor interaction terms (B coefficients), Only terms deemed statistically significant at the 95% level were included in the regression models. Four experimental points are used for determining lack of fit and pure error. The triangular design space, with EPDM, plastomer and clay as the vertices The plural of vertex. See vertex. of the triangle, is shown in figure 3. The unshaded region inside the triangle illustrates the boundaries of the design space. All 14 design points were selected from either the perimeter or interior of the design space. Compounding and testing of each design point was performed as described in the experimental section. [FIGURE 3 OMITTED] Tables 8 and 9 show the regression models relating the compound properties to the design variables, along with the appropriate [R.sup.2] statistic for the EB and EO compounds, respectively. The adjusted [R.sup.2] statistic factors in the number of terms in the model relative to the number of design points. This statistic provides an estimate of the fraction of the overall variation accounted for by the model. An adjusted [R.sup.2] of 0.95 implies that the mod-el can explain 95% of the variation. The predicted [R.sup.2] statistic is a measure of how the regression model fits each experimental data point in the design. This statistic is calculated by removing one of the design points from the design space, and calculating the model without the design point. The new model is then used to estimate the removed data and measure the residual. A difference of less than 0.2 between adjusted [R.sup.2] and predicted [R.sup.2] is considered acceptable. For most properties, both adjusted [R.sup.2] and predicted [R.sup.2] values are greater than 0.9, and the difference between them less than 0.2, implying that the models have good predictive properties. Model design simulations: Impact of plastomer level and type on compound properties To assess the impact of plastomer level and type on compound properties, design simulations were performed using the regression models listed in tables 8 and 9, for both EB and EO based blends, respectively. This was accomplished by varying the plastomer level in increments of 10 phr from zero (all EPDM) to 100 (all plastomer) at a constant filler level. In the simulations, the level of silane treated calcined clay was fixed at 60 phr and the total polymer blend A polymer blend, polymer alloy, or polymer mixture is a member of a class of materials analogous to metal alloys, in which two or more polymers are blended together to create a new material with different physical properties. phr level (EPDM + plastomer) was held constant at 100 phr. All other compound ingredients are held constant at the levels listed in table 3. In some figures, experimental results are overlaid o·ver·laid v. Past tense and past participle of overlay1. on top of the model simulations. These experimental results were not included in the development of the regression models and are shown for model validation purposes only. Extrusion results EPDM-VNB has exceptional processability in compound as demonstrated by fast extrusion rates without melt fracture. The superior processability of EPDM-VNB, relative to EPDM-HEX and EPDM-ENB, can be attributed to the highly branched architecture of the polymer. Figure 4 shows a model simulation demonstrating the effect of blending plastomers with EPDM-VNB on extrudate roughness ([R.sub.t]) in a 60 phr filled compound (i.e., 3728). Experimental results are superimposed su·per·im·pose tr.v. su·per·im·posed, su·per·im·pos·ing, su·per·im·pos·es 1. To lay or place (something) on or over something else. 2. on top of the model predictions. Compounds containing up to roughly 20 phr EB in the blend extrude extrude /ex·trude/ (ek-strldbomacd´) 1. to force out, or to occupy a position distal to that normally occupied. 2. in dentistry, to occupy a position occlusal to that normally occupied. with smooth surface. In contrast, for the EO based compounds, blends containing as much as 60 phr EO extruded free of melt fracture. Blends containing 60 to 80 phr EO extruded with surface roughness similar to EPDM-HEX, and blends containing > 80 phr EO extruded with surface roughness more similar to EPDM-ENB. Magnified images (14x) of the extrudate surfaces of the EPDM-VNB, EPDM-HEX and (50:50) EPDM-VNB/EO based compounds are shown in figure 5. The improvement in processability of the EO based compounds versus the EB formulations is attributed to differing molecular architectures. As discussed previously, the higher MIR of EO polymer furnishes enhanced processability. [FIGURES 4-5 OMITTED] Cure properties EPDM-VNB demonstrates very efficient crosslinking, fast cure rate and high cure state in the 3728 compound. The impact of blending plastomers with EPDM-VNB on compound cure properties is shown in figure 6. Blending plastomer with EPDM-VNB results in a reduction in cure rate. This is not entirely unexpected since a key step during the peroxide curing is the generation of radicals along the polymer backbone followed by subsequent coupling of these to form crosslinks. With EPDM-VNB, the principal mechanisms for polymer chain radical generation are free-radical addition of a peroxy radical across the VNB double bond and hydrogen abstraction by a peroxy radical (refs. 20 and 21). The ease of hydrogen abstraction generally follows the order expected from hydrogen lability lability /la·bil·i·ty/ (lah-bil´i-te) 1. the quality of being labile. 2. in psychiatry, emotional instability. lability the quality of being labile. ; allylic al·lyl n. The univalent, unsaturated organic radical C3H5. [Latin allium, garlic + -yl (so called because it was first obtained from garlic). > tertiary > secondary > primary. Increasing the amount of plastomer in the blend dilutes the concentration of VNB double bonds and VNB allylic hydrogens in the compound, resulting in reduced cure rate. [FIGURE 6 OMITTED] The reduction in cure rate of EB based compounds in comparison to EO based compounds is due to the lower tertiary hydrogen content in EO (lower [alpha]-olefin content) versus EB. Figure 6b shows that the cure state (MH-ML) of the EO based formulations is lower relative to corresponding EB based compounds. We speculate that the lower plateau modulus (lower entanglement density) of EO relative to EB results in reduced cure state (ref. 11). Although the cure properties of the blends have decreased relative to EPDM-VNB, the cure rate and cure state are comparable to EPDM-ENB and EPDM-HEX across the majority of blend compositions. Physical and mechanical properties Figure 7 illustrates the variation of compound mechanical properties as a function of plastomer content in the blend. The increase in hardness, 100% modulus and 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 with increasing plastomer content, is consistent with the higher crystalline plastomer replacing the less crystalline EPDM-VNB polymer. Furthermore, the plastomers contain fewer [alpha]-olefin comonomer units in the polymer chains, resulting in longer ethylene sequences. Under stress conditions, crystallinity may be induced through the alignment and ordering of these sequences referred to as strain induced crystallization Crystallization The formation of a solid from a solution, melt, vapor, or a different solid phase. Crystallization from solution is an important industrial operation because of the large number of materials marketed as crystalline particles. , resulting in enhanced modulus and tensile tensile, adj having a degree of elasticity; having the ability to be extended or stretched. properties in comparison to EPDM (ref. 11). The increase in 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. to break with increasing plastomer content is consistent with the reduction in the cure state or crosslink density (figure 6b. This difference also applies while comparing the EO compounds with the corresponding EB formulations. [FIGURE 7 OMITTED] Heat aging results EPDM-VNB has exceptional long-term heat aging properties. The superior heat aging performance of EPDM-VNB is the result of lower unsaturation (0.9 wt. % diene) present in the polymer in comparison to EPDM-HEX (4.0 wt. % diene) and EPDM-ENB (3.3 wt. % diene). Plas-tomers, with no diene unsaturation and lower tertiary hydrogen content (lower [alpha]-olefin content), are also anticipated to have exceptional heat aging properties. The blends, as expected, display exceptional heat aging properties. The EO based compounds exhibit a slight improvement in aged properties relative to EB compounds. This improvement is attributed to a lower tertiary hydrogen content (lower [alpha]-olefin content). Design optimization See automatic design optimization. and validation The objective of design optimization is to search for specific formulations within the confines con·fine v. con·fined, con·fin·ing, con·fines v.tr. 1. To keep within bounds; restrict: Please confine your remarks to the issues at hand. See Synonyms at limit. of the design space that satisfy multiple performance criteria. Using a graphical optimization technique, a region is created within the design space where all property specifications are satisfied. This range of operability Operability is the ability to keep a system in a functioning and operating condition. In a computing systems environment with multiple systems this includes the ability of products, systems and business processes to work together to accomplish a common task such as finding and , often described as a "sweet spot." is achieved by overlaying the contour contour or contour line, line on a topographic map connecting points of equal elevation above or below mean sea level. It is thus a kind of isopleth, or line of equal quantity. plots of each response and shading See Phong shading, Gouraud shading, flat shading and programmable shading. out the areas that do not meet one or more of the property specifications. The property specifications for the wire and cable insulation compound are shown in table 10. These specifications are based on minimum requirements cited in industry standards and on historical laboratory results. Comparing the overlay (1) A preprinted, precut form placed over a screen, key or tablet for identification purposes. See keyboard template. (2) A program segment called into memory when required. contour plots of the EB and EO based blends in figure 8, it is readily apparent that EO blends have a much larger design window that satisfy all specifications. The larger sweet spot for the EO based blends is mainly attributed to the enhanced processability of EO versus EB. [FIGURE 8 OMITTED] The next step is to find the optimum compound within the sweet spot region that best meets the desired product specifications. This call be achieved by utilizing a numerical optimization technique revolving an objective function called "desirability" (refs. 22 and 23). Each response is assigned a desirability function (d) that ranges from zero (does not meet target) to 1 (completely meets target). The key to multiple optimization is to maximize or minimize a single objective function (D), which denotes the overall desirability. The function D is expressed as a geometric mean (mathematics) geometric mean - The Nth root of the product of N numbers. If each number in a list of numbers was replaced with their geometric mean, then multiplying them all together would still give the same result. of the desirability functions of each of the response variables as shown below: D = [([d.sub.1] x [d.sub.2] x [d.sub.3] x ......[d.sub.n]).sup. 1/n] = [([Pi][d.sub.i]).sup.1/n] where n is the total number of responses. From the above expression, if any of the individual responses ([d.sub.i]) = 0, then the overall D value would be set to 0. An importance rating can also be assigned to the individual responses ([d.sub.i]); where a response such as aged elongation (rating = 4) is considered to be more important than hardness (rating = 2). Table 10 shows the optimization goals, lower and upper limits, set forth for each of the responses, along with the importance rating specified for each response. Optimization using desirability is by and large a trade off that searches for the best formulations that satisfy a ma-jority of the performance objectives. When multiple performance requirements are specified, it is virtually impossible to obtain a value of one for all the individual respon-ses. Thus, the objective function D is never a one: values between 0.3 and 0.7 are typical. The formulation with the highest overall desirability value, based on simultaneous numerical optimization of the multiple performance requirements, is listed in table 11, and is shown on the overlay contour plot in figure 8. Property predictions were experimentally verified by compounding the optimum formulation in the laboratory (average of three individual mixes) and comparing the predicted properties with the average experimental values. This comparison is shown in figure 9. The experimental properties match well with the predicted properties and therefore validate the regression models. The optimal compound has a lower filler content ([approximately equals] 40 phr clay) than the 3728 medium voltage insulation formulation (60 phr clay), and yet is expected to have a good balance of cure properties, mechanical properties, heat aged properties and processability. These results demonstrate the potential to design compounds at lower clay levels, based on blends of EPDM and plastomers, for improved electrical properties (e.g., dielectric loss and dielectric constant dielectric constant n. See permittivity. ). The electrical properties for the optimal compound are shown in table 12 and are lower than maximum industry specifications cited in table 1. [FIGURE 9 OMITTED] Conclusions Blends of conventional EPDM and metallocene plastomers in a typical medium voltage insulation compound (60 phr clay) offer the following advantages relative to corresponding EPDM: * Significant mechanical property enhancements (i.e., tensile strength and elongation to break): * comparable or enhanced processability at high plastomer loadings (up to 70 phr); * option to formulate to lower clay levels without compromise in processability or mechanical properties; * excellent heat aging properties. Plastomers exhibiting more shear thinning (EO) exhibited better processability in compound as manifested by extrusion at fast rates without surface melt fracture. Results from mixture design of experiments demonstrate that lower filled compounds (< 60 phr clay), based on blends of EPDM and plastomers, can satisfy many performance targets for medium voltage cable insulation.
Table 1 - EPDM polymer requirements for medium voltage wire and cable
Requirement ICEA specification for filled EPDM
compound (ref. 24)
Good electrical properties Dielectric constant < 4.0
Dissipation factor < 1.5%
Good processability Surface roughness ([R.sub.t])<75
[micro]m *
Good physical properties Tensile strength > 8.2 Mpa
Elongation to break > 250%
Superior heat aging Aging after 14 days @ 121[degrees]C:
> 80% tensile retention
> 80% elongation retention
No gels No gels > 0.254 mm
Requirement Polymer attribute
Good electrical properties Low metal residues
Good processability Long chain branching
Good physical properties High ethylene content
Superior heat aging Low unsaturates in polymer backbone
No gels Gel free synthesis
* Minimum requirement determined in laboratory, not an ICEA
specification
Table 2a - EPDM characteristics
EPDM Diene Diene Mooney Ethylene
structure viscosity (wt. %)
(1+4)@125[degrees]C
V1703P VNB C=C[H.sub.2] 25 77
V8731 ENB C=C[H.sub.3] 26 76
N2722 HEX C=C-C-C=C-C 26 76
EPDM Diene Mn x Mw/Mn Branching
(wt. %) 1,000 index
V1703P 0.9 36 29.9 0.1
V8731 3.3 35 6.0 0.35
N2722 4.0 39 3.6 0.62
Table 2b - plastomer characteristics
Plastomer Co- Mooney Melt Co- Density
monomer viscosity index monomer (g/cc)
(1+4) (dg/10 (mole %)
@125[degrees]C min.)
Exact Butene 28 0.8 12.4 0.880
4033
Exact Octene 17 1.1 8.9 0.882
8201
Plastomer % crys- Mn x Mw/Mn Melt
tallinity 1,000 index
ratio
([I.sub.21]/[I.sub.2])
Exact 19 54 2.2 17
4033
Exact 19 45 2.4 35
8201
Table 3 - medium voltage cable compound
Ingredient Formulation (phr)
Polymer 100
Surface-treated calcined clay 60
Vinyl silane 1.0
Red lead 5.0
Antioxidant 1.5
Low density polyethylene 5.0
Wax 5.0
Zinc oxide 5.0
Dicumyl peroxide (40% active) 6.5
Table 4 - test producers
Test Test method Units
Mooney viscosity ASTM D 1646-99 Mooney units
Cure characteristics: ASTM D 2084-95
[M.sub.L] dN-m
[M.sub.H] dN-m
ts2 Min.
tc90 Min.
Cure state,([M.sub.H]- dN-m/min.
[M.sub.L])
Cure rate dN-m
Hardness ASTM D 2240-91 Durometer A
100% modulus ASTM D 412-92 MPa
Tensile strength ASTM D 412-92 MPa
Elongation ASTM D 412-92
Heat aged ExxonMobil method % retention
elongation (14 days aging @
150[degrees]C)
Surface rough- ExxonMobil method Microns
ness ([R.sub.t]) (Mitutoyo Surftest
SV-500)
Electrical properties: ASTM D 150-98
Dissipation factor (Samples aged in 90[degrees]C
Dielectric constant water, 600 V AC None
source @ 60 Hz)
Table 5 - plateau modulus, [G.sub.N.sup.0] (Mpa)
Polymer Marvin Oser method Cross over modulus method
EPM 1.30 1.50
EB 1.37 1.49
EO 1.03 1.09
Table 6 - design description
D optimal mixture design
Three mixture variables
14 total design experiments
- Replicates for lack of fit and pure error = 4
Optimization using desirability function
Table 7 - design basis
Variables (phr)
Ingredients Min. Max.
EPDM-VNB 0 100
Plastomer 0 100
Translink 37 clay 30 70
EPDM-VNB + plastomer + Translink 37 clay = 160 phr
Constants (phr)
Agerite MA =1.5, Drimix A-172 silane =1.0, Zinc oxide =
5.0. ERD 90 (red lead) = 5.0, paraffin wax 1236 = 5.0,
Escorene LD 400 = 5.0, DiCup 40 KE = 6.5
Table 8 - responses and predicted R-squared values (EPDM-VNB/EB blends)
Response Correlation
Cure rate 0.18[V] + 0.59[P] + 1.59[C] -
0.014[P][C]
Cure state ([M.sub.H]-[M.sub.L]) 0.18[V] + 0.36[P] + 0.67[C]-
3.84[V][C]
Hardness (durometer A) 0.49[V] + 0.53[P] + 0.65[C] +
5.13[V][P]
100% modulus 5.22[V] + 6.45[P] + 48.16[C] -
0.40[V][C]-0.39[P][C]
200% modulus -0.83[V] + 1.91[P] + 29.83[C]
300% modulus 2.28[V] + 4.55[P] + 31.77[C]
Tensile strength 6.25[V] + 13.84[P] + 19.42[C]
Elongation at break 3.24[V] + 4.78[P] - 1.58[C] -
0.015[V][P]
Aged elongation 2.02[V] + 3.38[P]- 0.54[C]
14 days @ 150[degrees]C
Surface roughness ([R.sub.t]) -0.22[V]+1.27[P]-0.80[C]-
5.33[V][P]+0.01 [V][C]
Response [R.sup.2] Adj. [R.sup.2]
Cure rate 0.97 0.96
Cure state ([M.sub.H]-[M.sub.L]) 0.93 0.92
Hardness (durometer A) 0.93 0.91
100% modulus 0.98 0.98
200% modulus 0.98 0.97
300% modulus 0.98 0.97
Tensile strength 0.98 0.97
Elongation at break 0.97 0.96
Aged elongation 0.94 0.92
14 days @ 150[degrees]C
Surface roughness ([R.sub.t]) 0.99 0.98
Response Pred. [R.sup.2]
Cure rate 0.95
Cure state ([M.sub.H]-[M.sub.L]) 0.89
Hardness (durometer A) 0.89
100% modulus 0.96
200% modulus 0.96
300% modulus 0.94
Tensile strength 0.96
Elongation at break 0.94
Aged elongation 0.89
14 days @ 150[degrees]C
Surface roughness ([R.sub.t]) 0.97
[V] = EPDM-VNB; [P] = EO; [C] =surface treated calcined clay
Table 9 - responses and predicted R-squared values (EPDM-VNB/EO blends)
Response Correlation
Cure rate 0.28[V] + 0.29[P] + 1.35[C] -
1.60[V][P] - 9.58[P][C]
Cure state ([M.sub.H]-[M.sub.L]) 0.31[V] + 0.31[P] + 1.34[C] -
5.20[V][C] - 8.95[P][C]
Hardness (durometer A) 0.48[V] + 0.51[P] + 0.48[C] +
3219E-04[V][P] + 1.862E-03[V][C] +
2.004E - 03[P][C]
100% modulus 4.70[V] + 6.44[P] + 43.69[C] -
0.35[V][C] - 0.33[P][C]
200% modulus 0.075[V] + 2.95[P] + 27.46[C]
300% modulus 3.40[V] + 5.46[P] + 28.33[C]
Tensile strength 5.22[V] + 20.42[P] + 21.05[C] -
0.14[P][C]
Elongation at break 2.92[V] + 4.78[P] - 1.23[C]
Aged elongation 2.02[V] + 3.38[P] - 0.54[C]
14 days @ 150[degrees]C
Surface roughness ([R.sub.t]) 0.090[V] + 0.22[P] + 0.017[C] -
5.33[V][P]
Response [R.sup.2] Adj. [R.sup.2]
Cure rate 0.99 0.99
Cure state ([M.sub.H]-[M.sub.L]) 0.99 0.99
Hardness (durometer A) 0.97 0.95
100% modulus 0.99 0.98
200% modulus 0.99 0.99
300% modulus 0.99 0.99
Tensile strength 0.93 0.90
Elongation at break 0.98 0.98
Aged elongation 0.97 0.96
14 days @ 150[degrees]C
Surface roughness ([R.sub.t]) 0.94 0.92
Response Pred. [R.sup.2]
Cure rate 0.98
Cure state ([M.sub.H]-[M.sub.L]) 0.98
Hardness (durometer A) 0.90
100% modulus 0.97
200% modulus 0.98
300% modulus 0.98
Tensile strength 0.81
Elongation at break 0.97
Aged elongation 0.95
14 days @ 150[degrees]C
Surface roughness ([R.sub.t]) 0.87
[V] = EPDM-VNB; [P] = EO; [C] = surface treated calcined clay
Table 10 - optimization criteria for medium voltage
compound
Property Units
Cure rate dN-m/min.
Cure state, ([M.sub.H]-[M.sub.L]) dN-m
Hardness Durom. A
Tensile strength MPa
Elongation %
Aged elongation % retained
(14 days @ 150[degrees]C)
Surface roughness ([R.sub.t]) [micro]m
Property Goal
Cure rate [greater than or equal to] 70
Cure state, ([M.sub.H]-[M.sub.L]) [greater than or equal to] 70
Hardness 86-92
Tensile strength [greater than or equal to] 8.2
Elongation [greater than or equal to] 250
Aged elongation [greater than or equal to] 80
(14 days @ 150[degrees]C)
Surface roughness ([R.sub.t]) <75
Property Lower Upper Impor-
limit limit tance
Cure rate 70 max. 2
Cure state, ([M.sub.H]-[M.sub.L]) 70 max. 2
Hardness 86 92 2
Tensile strength 8.2 max. 2
Elongation 250 500 2
Aged elongation 80 100 4
(14 days @ 150[degrees]C)
Surface roughness ([R.sub.t]) 0 75 4
Table 11 - optimal compound
formulation
Optimal formulation Weight % Phr
EPDM-VNB 28 60
EO 18 40
Translink 37 clay 54 39
Total 100 139
Table 12 - optimal formulation electrical properties
Dielectric constant
Original 2.57
1 day 2.30
7 days 2.36
28 days 2.32
Dissipation factor (%)
Original 0.32
1 day 0.62
7 days 0.59
28 days 0.61
References (1.) J.H. Dudas and W.C. Cochran, IEEE (Institute of Electrical and Electronics Engineers, New York, www.ieee.org) A membership organization that includes engineers, scientists and students in electronics and allied fields. Electrical Insulation Electrical insulation A nonconducting material that provides electric isolation of two parts at different voltages. To accomplish this, an insulator must meet two primary requirements: it must have an electrical resistivity and a dielectric strength Magazine, 15, 29, (1999). (2.) S. Boggs and J. Xu, IEEE Electrical Insulation Magazine, 17, 1, (2001). (3.) Niwa, T., Takahashi, T. Isaka, M. and Takehana, H., Conf. Rec. IEEE Int. Syrup. Electr. Insul. (1988). (4.) P.S. Ravishankar and N.R. Dharmarajan, Rubber World, 219, 23 (1998). (5.) N.R. Dharmarajan and P.S. Ravishankar, Electrical devices including ethylene, [alpha]-olefin, vinyl norbornene elastomeric polymers, U.S. Patent 5,674,613, Oct. 7, 1997. (6.) M. Hendewerk and L. Spenadel, Proc. 1991 IEEE Power Eng. Soc., May 1992. (7.) L. Spenadel, M.L. Hendewerk and A.K. Mehta, Electrical devices comprising polymeric polymeric /poly·mer·ic/ (pol?i-mer´ik) exhibiting the characteristics of a polymer. pol·y·mer·ic adj. 1. Having the properties of a polymer. 2. insulating or semiconducting members, U.S. Patent 5,246, 783, Sept. 21, 1993. (8.) N.R. Dharmarajan, P.S. Ravishankar and C.D. Burrage, Electrical devices including ethylene, [alpha]-olefin, vinyl norbornene elastomers and ethylene [alpha]-olefin polymers, U.S. Patent 5,763,533, June. 9, 1998. (9.) N.R. Dharmarajan, P.S. Ravishankar and C.D. Burrage, Electrical devices including ethylene, [alpha]-olefin, vinyl norbornene elastomers and ethylene [alpha]-olefin polymers, U.S. Patent 5,952,427, Sept. 14, 1999. (10). N.R. Dharmarajan, P.S. Ravishankar and C.D. Burrage, Electrical devices including ethylene, [alpha]-olefin, vinyl norbornene elastomers and ethylene [alpha]-olefin polymers, U.S. Patent 6,150,467, Nov. 21, 2000. (11.) G. Ver Strate and D.J. Lohse, Science and Technology of Rubber, Second Edition, 95, 1994. (12.) S. Wu, J. Poly. Sci., Polymer Physics Polymer physics is the field of physics associated to the study of polymers, their fluctuations, mechanical properties, as well as the kinetics of reactions involving degradation and polymerisation of polymers and monomers respectively. Edition, 27,723 (1989). (13.) W.W. Graessley, Advances in Polymer Science Polymer science or macromolecular science is the subfield of materials science concerned with polymers, primarily synthetic polymers such as plastics. The field of polymer science includes researchers in multiple disciplines including chemistry, physics, and engineering. , 47, 67 (1982). (14.) L.J. Fetters fet·ter n. 1. A chain or shackle for the ankles or feet. 2. Something that serves to restrict; a restraint. tr.v. fet·tered, fet·ter·ing, fet·ters 1. To put fetters on; shackle. , et al., Macromolecules Macromolecules A large molecule composed of thousands of atoms. Mentioned in: Gene Therapy macromolecules , 27, 17, (1994). (15.) R.G. Larson, The structure and rheology of complex fluids, Oxford University Press, New York New York, state, United States New York, Middle Atlantic state of the United States. It is bordered by Vermont, Massachusetts, Connecticut, and the Atlantic Ocean (E), New Jersey and Pennsylvania (S), Lakes Erie and Ontario and the Canadian province of , 1999. (16.) D.M. Kaylon, D.W. Yu and F.H. May, Polymer Engineering and Science, 28, 23 (1988). (17.) M.J. Anderson and P.J. Whitcomb, Chemical Engineering Progress. 4, 63 (1998). (18.) W.F. Smith, Today's Chemist at Work, 5, 2 (1995). (19.) J.A. Cornell, Experiments with Mixtures, Second Edition, John Wiley John Wiley may refer to:
(20.) R. C. Keller, Rubber Chem., Tech., 61, 238 (1988). (21.) F.P. Baldwin, et al., Rubber Chem. and Tech., 43, 2 (1970). (22.) G. Derringer and R. Such, Journal of Quality Technology, 12, 4 (1980). (23.) M.J. Anderson and P.J. Whitcomb, Quebec Metallurgical met·al·lur·gy n. 1. The science that deals with procedures used in extracting metals from their ores, purifying and alloying metals, and creating useful objects from metals. 2. Conference, Canadian Institute of Metallurgy metallurgy (mĕt`əlûr'jē), science and technology of metals and their alloys. Modern metallurgical research is concerned with the preparation of radioactive metals, with obtaining metals economically from low-grade ores, with , 1993. (24.) Standard for Concentric Coming from the center, or circles within circles. For example, tracks on a hard disk are concentric. Tracks on optical media are concentric or spiral shaped (in a coil) depending on the type. Neutral Cables Rated 5,000 - 46,000 Volts, ANSI/ICEA S-94-649-1997. |
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