2 Carbon Fibers and Nanofillers 2.1 Carbons Not included in the five categories mentioned in Sect.1.1 is carbon,which can be found in the form of graphite (its most common form),diamond and fullerenes (a recently discovered form).Note that these are not ceramics,because they are not compounds. Graphite (a semimetal)consists of carbon atom layers stacked in the AB se- quence such that the bonding is covalent(due to sp-hybridization)and metallic (two-dimensionally delocalized 2pz electrons)within a layer,and van der Waals between the layers.This bonding makes graphite very anisotropic,so it is a good lubricant (due to the ease with which the layers can slide past one another). Graphite is also used in pencils because of this property.Moreover,graphite is an electrical and thermal conductor within the layers but an insulator in the di- rection perpendicular to the layers.The electrical conductivity is valuable when using graphite for electrochemical electrodes.Graphite is chemically quite inert. However,due to its anisotropic structure,graphite can undergo a reaction(known as intercalation)in which foreign species(called the intercalate)are inserted be- tween the carbon layers.Disordered carbon (called turbostratic carbon)also has a layered structure,but,unlike graphite,it does not have the AB stacking order and the layers are bent.Upon heating,disordered carbon becomes more ordered, as the ordered form(graphite)has the lowest energy.Graphitization refers to the ordering process that leads to graphite.Conventional carbon fibers are mostly dis- ordered carbon such that the carbon layers lie preferentially along the fiber axis. A form of graphite called flexible graphite is formed by compressing a collection of intercalated graphite flakes that have been exfoliated (i.e.,allowed to expand by over 100 times along the direction perpendicular to the layers,typically through heating after intercalation).The exfoliated flakes are held together by mechanical interlocking,as there is no binder.Flexible graphite is typically generated in the form of sheets that are resilient in the direction perpendicular to the sheet.This resilience allows flexible graphite to be used as a gasket for fluid sealing. Diamond is a covalent network solid that exhibits the diamond crystal structure due to sp'hybridization(akin to silicon).It is used as an abrasive and as a thermal conductor.It has the highest thermal conductivity of any material.However,it is an electrical insulator.Due to its high material cost,diamond is typically used in 35
2 Carbon Fibers and Nanofillers 2.1 Carbons Not included in the five categories mentioned in Sect. 1.1 is carbon, which can be found in the form of graphite (its most common form), diamond and fullerenes (a recently discovered form). Note that these are not ceramics, because they are not compounds. Graphite (a semimetal) consists of carbon atom layers stacked in the AB sequence such that the bonding is covalent (due to sp2 hybridization) and metallic (two-dimensionally delocalized 2pz electrons) within a layer, and van der Waals between the layers. This bonding makes graphite very anisotropic, so it is a good lubricant (due to the ease with which the layers can slide past one another). Graphite is also used in pencils because of this property. Moreover, graphite is an electrical and thermal conductor within the layers but an insulator in the direction perpendicular to the layers. The electrical conductivity is valuable when using graphite for electrochemical electrodes. Graphite is chemically quite inert. However, due to its anisotropic structure, graphite can undergo a reaction (known as intercalation) in which foreign species (called the intercalate) are inserted between the carbon layers. Disordered carbon (called turbostratic carbon) also has a layered structure, but, unlike graphite, it does not have the AB stacking order and the layers are bent. Upon heating, disordered carbon becomes more ordered, as the ordered form (graphite) has the lowest energy. Graphitization refers to the ordering process that leads to graphite. Conventional carbon fibers are mostly disordered carbon such that the carbon layers lie preferentially along the fiber axis. A form of graphite called flexible graphite is formed by compressing a collection of intercalated graphite flakes that have been exfoliated (i.e., allowed to expand by over 100 times along the direction perpendicular to the layers, typically through heating after intercalation). The exfoliated flakes are held together by mechanical interlocking, as there is no binder. Flexible graphite is typically generated in the form of sheets that are resilient in the direction perpendicular to the sheet. This resilience allows flexible graphite to be used as a gasket for fluid sealing. Diamond is a covalent network solid that exhibits the diamond crystal structure due to sp3 hybridization (akin to silicon). It is used as an abrasive and as a thermal conductor. It has the highest thermal conductivity of any material. However, it is an electrical insulator. Due to its high material cost, diamond is typically used in 35
36 2 Carbon Fibers and Nanofillers the form of powder or thin-film coating.Diamond should be distinguished from diamond-like carbon (DLC),which is amorphous carbon with carbon that is sp'- hybridized.Diamond-like carbon is mechanically weaker than diamond but also less expensive than it. Fullerenes are molecules (C6o)with covalent bonding within each molecule. Adjacent molecules are held by van der Waals'forces.However,fullerenes are not polymers.Carbon nanotubes are a derivative of the fullerenes,as they are essentially fullerenes with extra carbon atoms at the equator.The extra atoms cause the fullerene to lengthen.For example,ten extra atoms(i.e.,one equatorial band of atoms)exist in the molecule C7o.Carbon nanotubes can be singlewalled or multiwalled nanotubes,depending on the number of carbon layers in the wall of the nanotube. 2.2 Carbon Fibers Since carbon fiber composites are important for both structural and functional applications,as covered in this book,this section provides an introduction to carbon fibers.The structural importance of carbon fibers stems from their high strength,high modulus and low density.The functional importance of carbon fibers stems from their high electrical conductivity. There are three forms of carbon,namely graphite,diamond and fullerene. Carbon fibers belong to the graphite family,although they may not be crystalline. Graphite has a layered crystal structure,with the carbon layers stacked in the AB sequence(Fig.2.1).Within a layer,the chemical bonding is a mixture of covalent bonding and metallic bonding.The covalent bonding,which results from the sp2 hybridization of each carbon atom,is responsible for the high modulus and strength in the plane of the carbon layers.The metallic bonding,which is due to the delocalized p electrons,is responsible for the high electrical conductivity and high thermal conductivity in the plane of the carbon layers.Perpendicular to the carbon layers,the bonding involves van der Waals forces (secondary bonding). Due to the weak interlayer bonding,the carbon layers can easily slide with respect to one another,thus making graphite a good solid lubricant.Due to the difference between the in-plane and out-of-plane bonding,graphite is mechanically much stronger and stiffer and is electrically and thermally much more conductive in the plane of the carbon layers than in the direction perpendicular to them. A carbon fiber is made from a polymer fiber by converting the polymer into carbon,using a process similar to that used for the fabrication of carbon-matrix composites,as described in Sect.1.3.3.The diameter of a continuous carbon fiber is commonly around 7 um.A carbon fiber can have various degrees of crystallinity, as controlled by the process of fabrication.For a given carbon precursor,e.g, pitch and polyacrylonitrile(PAN),the higher the heat treatment temperature,the greater the degree of crystallinity (also known as the degree of graphitization). After carbonization,a carbon fiber is noncrystalline(amorphous)and is said to be turbostratic.In the turbostratic form,there are still carbon layers,but the layers are not very extensive,not very flat and not very parallel,and they do not exhibit
36 2 Carbon Fibers and Nanofillers the form of powder or thin-film coating. Diamond should be distinguished from diamond-like carbon (DLC), which is amorphous carbon with carbon that is sp3- hybridized. Diamond-like carbon is mechanically weaker than diamond but also less expensive than it. Fullerenes are molecules (C60) with covalent bonding within each molecule. Adjacent molecules are held by van der Waals’ forces. However, fullerenes are not polymers. Carbon nanotubes are a derivative of the fullerenes, as they are essentially fullerenes with extra carbon atoms at the equator. The extra atoms cause the fullerene to lengthen. For example, ten extra atoms (i.e., one equatorial band of atoms) exist in the molecule C70. Carbon nanotubes can be singlewalled or multiwalled nanotubes, depending on the number of carbon layers in the wall of the nanotube. 2.2 Carbon Fibers Since carbon fiber composites are important for both structural and functional applications, as covered in this book, this section provides an introduction to carbon fibers. The structural importance of carbon fibers stems from their high strength, high modulus and low density. The functional importance of carbon fibers stems from their high electrical conductivity. There are three forms of carbon, namely graphite, diamond and fullerene. Carbon fibers belong to the graphite family, although they may not be crystalline. Graphite has a layered crystal structure, with the carbon layers stacked in the AB sequence (Fig. 2.1). Within a layer, the chemical bonding is a mixture of covalent bonding and metallic bonding. The covalent bonding, which results from the sp2 hybridization of each carbon atom, is responsible for the high modulus and strength in the plane of the carbon layers. The metallic bonding, which is due to the delocalized pz electrons, is responsible for the high electrical conductivity and high thermal conductivity in the plane of the carbon layers. Perpendicular to the carbon layers, the bonding involves van der Waals forces (secondary bonding). Due to the weak interlayer bonding, the carbon layers can easily slide with respect to one another, thus making graphite a good solid lubricant. Due to the difference between the in-plane and out-of-plane bonding, graphite is mechanically much stronger and stiffer and is electrically and thermally much more conductive in the plane of the carbon layers than in the direction perpendicular to them. A carbon fiber is made from a polymer fiber by converting the polymer into carbon, using a process similar to that used for the fabrication of carbon-matrix composites, as described in Sect. 1.3.3. The diameter of a continuous carbon fiber is commonly around 7μm. A carbon fiber can have various degrees of crystallinity, as controlled by the process of fabrication. For a given carbon precursor, e.g., pitch and polyacrylonitrile (PAN), the higher the heat treatment temperature, the greater the degree of crystallinity (also known as the degree of graphitization). After carbonization, a carbon fiber is noncrystalline (amorphous) and is said to be turbostratic. In the turbostratic form, there are still carbon layers, but the layers are not very extensive, not very flat and not very parallel, and they do not exhibit
2.2 Carbon Fibers 37 Figure 2.1.Crystal structure of graphite.a Three-dimensional view.b Two-dimensional view of a single carbon layer. cTwo-dimensional view of two superimposed adjacent carbon layers.The A atoms(solid circles)constitute one carbon layer, whereas the Batoms(open circles)constitute the adjacent carbon layer the AB stacking sequence.This means that turbostratic carbon has short-range order but no long-range order,as in the case of noncrystalline materials in general. In order for the carbon fiber to achieve a degree of crystallinity,the carboniza- tion process needs to be followed by graphitization,which is heat treatment at a higher temperature,such as 2,300-3,000C.Because the crystalline state is the thermodynamically stable state(i.e.,the state of lowest energy),the carbon atoms would automatically move to approach the crystalline state if there was enough thermal energy for them to move.In other words,the crystallization process is spontaneous. A carbon fiber has the carbon layers preferentially aligned with the fiber axis, even though the layers may not be flat (Fig.2.2).In other words,the layers are not randomly oriented;there is a distribution oforientations such that there is a degree of preference for the orientation parallel to the fiber axis.In general,the preferred orientation is known as the texture (or crystallographic texture).In the case of fibers,the preferred orientation is that in which the direction perpendicular to the carbon layers is preferentially in the cross-sectional plane of the fiber,such that
2.2 Carbon Fibers 37 Figure 2.1. Crystal structure of graphite. a Three-dimensional view. b Two-dimensional view of a single carbon layer. c Two-dimensionalviewoftwosuperimposedadjacentcarbonlayers.The A atoms(solidcircles)constituteonecarbonlayer, whereas the B atoms (open circles) constitute the adjacent carbon layer the AB stacking sequence. This means that turbostratic carbon has short-range order but no long-range order, as in the case of noncrystalline materials in general. In order for the carbon fiber to achieve a degree of crystallinity, the carbonization process needs to be followed by graphitization, which is heat treatment at a higher temperature, such as 2,300–3,000°C. Because the crystalline state is the thermodynamically stable state (i.e., the state of lowest energy), the carbon atoms would automatically move to approach the crystalline state if there was enough thermal energy for them to move. In other words, the crystallization process is spontaneous. A carbon fiber has the carbon layers preferentially aligned with the fiber axis, even though the layers may not be flat (Fig.2.2). In other words, the layers are not randomly oriented; there is a distribution of orientations such that there is a degree of preference for the orientation parallel to the fiber axis. In general, the preferred orientation is known as the texture (or crystallographic texture). In the case of fibers, the preferred orientation is that in which the direction perpendicular to the carbon layers is preferentially in the cross-sectional plane of the fiber, such that
38 2 Carbon Fibers and Nanofillers Fiber axis Figure 2.2.Preferential orientation of a carbon layer along the axis of a carbon fiber this direction is two-dimensionally random in this plane.This is a type of texture known as the fiber texture,which in general refers to a texture involving preferential orientation ofa certain crystallographic direction in a particular physical direction such that there is two-dimensional randomness of the crystallographic direction perpendicular to this direction.The fiber texture is a natural consequence of the fiber fabrication,which typically involves flow of the carbon precursor during the formation of the precursor fiber.This texture causes the modulus,strength, electrical conductivity and thermal conductivity of carbon fibers along the fiber axis to be high,in spite of the crystallographic anisotropy.This also means that the properties of a fiber in the transverse direction are inferior to those in the axial direction.Since a composite is typically designed to exploit the axial properties of the fiber (e.g.,a composite is designed with the fibers aligned along the direction of the composite that needs to be strong),the inferior transverse properties are usually not an issue. Carbon fibers are electrically and thermally conductive,in contrast to the non- conducting nature of polymer and ceramic matrices.Therefore,carbon fibers can serve not only as a reinforcement but also as an additive for enhancing the electrical or thermal conductivity.Furthermore,carbon fibers have a near-zero coefficient of thermal expansion,so they can also serve as an additive to lower the thermal expansion.This combination of high thermal conductivity and low thermal ex- pansion makes carbon fiber composites useful for heat sinks in electronics and for space structures that require dimensional stability.As the thermal conductivity of carbon fibers increases with the degree of graphitization,applications requiring a high thermal conductivity should use graphitic fibers such as high-modulus pitch-based fibers and vapor-grown carbon fibers. Carbon fibers are more cathodic than practically any metal,so in a metal matrix, a galvanic couple is formed with the metal as the anode.This causes corrosion ofthe metal.The corrosion product tends to be unstable in moisture and causes pitting, which aggravates corrosion.To alleviate this problem,carbon fiber metal-matrix composites are often coated. The carbon fibers in a carbon-matrix composite(called a carbon-carbon com- posite)serve to strengthen the composite,as the carbon fibers are much stronger
38 2 Carbon Fibers and Nanofillers Figure 2.2. Preferential orientation of a carbon layer along the axis of a carbon fiber this direction is two-dimensionally random in this plane. This is a type of texture knownasthefibertexture,whichingeneralreferstoatextureinvolvingpreferential orientation of a certain crystallographic direction in a particular physical direction such that there is two-dimensional randomness of the crystallographic direction perpendicular to this direction. The fiber texture is a natural consequence of the fiber fabrication, which typically involves flow of the carbon precursor during the formation of the precursor fiber. This texture causes the modulus, strength, electrical conductivity and thermal conductivity of carbon fibers along the fiber axis to be high, in spite of the crystallographic anisotropy. This also means that the properties of a fiber in the transverse direction are inferior to those in the axial direction. Since a composite is typically designed to exploit the axial properties of the fiber (e.g., a composite is designed with the fibers aligned along the direction of the composite that needs to be strong), the inferior transverse properties are usually not an issue. Carbon fibers are electrically and thermally conductive, in contrast to the nonconducting nature of polymer and ceramic matrices. Therefore, carbon fibers can serve not only as a reinforcement but also as an additive for enhancing the electrical or thermal conductivity. Furthermore, carbon fibers have a near-zero coefficient of thermal expansion, so they can also serve as an additive to lower the thermal expansion. This combination of high thermal conductivity and low thermal expansion makes carbon fiber composites useful for heat sinks in electronics and for space structures that require dimensional stability. As the thermal conductivity of carbon fibers increases with the degree of graphitization, applications requiring a high thermal conductivity should use graphitic fibers such as high-modulus pitch-based fibers and vapor-grown carbon fibers. Carbon fibers are more cathodic than practically any metal, so in a metal matrix, agalvanic coupleisformedwith themetalastheanode.Thiscausescorrosionofthe metal. The corrosion product tends to be unstable in moisture and causes pitting, which aggravates corrosion. To alleviate this problem, carbon fiber metal-matrix composites are often coated. The carbon fibers in a carbon-matrix composite (called a carbon–carbon composite) serve to strengthen the composite, as the carbon fibers are much stronger
2.2 Carbon Fibers 39 than the carbon matrix due to the crystallographic texture (preferred crystallo- graphic orientation)in each fiber.Moreover,the carbon fibers serve to toughen the composite,as the debonding between the fibers and the matrix provides a mecha- nism for energy absorption during mechanical deformation.In addition to having attractive mechanical properties,carbon-carbon composites are more thermally conductive than carbon fiber polymer-matrix composites.However,at elevated temperatures(above 320C),carbon-carbon composites degrade due to the oxi- dation of carbon(especially the carbon matrix),which forms CO2 gas.To alleviate this problem,carbon-carbon composites are coated. Carbon fiber ceramic-matrix composites are more oxidation resistant than carbon-carbon composites.The most common form of such a composite is car- bon fiber reinforced concrete.Although the oxidation of carbon is catalyzed by an alkaline environment and concrete is alkaline,the chemical stability of carbon fibers in concrete is superior to that of competitive fibers,such as polypropylene, glass,and steel.Composites containing carbon fibers in more advanced ceramic matrices (such as SiC)are rapidly being developed. The conductivity of carbon fiber and the nonconductivity of the polymer ma- trix enable carbon fiber polymer-matrix composites to be tailored for functional properties.For example,the electrical resistivity of a carbon fiber polymer-matrix composite is sensitive to the damage in the composite,thereby allowing the com- posite to be a sensor of its own damage.Damage in the form of fiber breakage increases the resistivity in the fiber direction of the composite.Damage in the form of delamination increases the resistivity in the through-thickness direction of the composite,since delamination diminishes the extent of fiber-fiber contact across the interlaminar interface.In other words,the fibers of one lamina cannot contact those of an adjacent lamina in the area where the two laminae are separated by a delamination crack.Damage monitoring,also known as structural health moni- toring,is practically important,due to the aging and deterioration of aircraft made of composites. A high degree of graphitization is attractive due to the resulting high values of modulus,electrical conductivity and thermal conductivity along the fiber axis. Although a high degree of crystallization enhances the modulus,it is detrimental to the strength of the fiber.This is because high crystallinity facilitates the sliding of a carbon layer relative to another layer,thus resulting in easy shear of the layers and hence low strength in the fiber.Therefore,there are two main grades ofcarbon fiber, namely high-modulus fiber(with a relatively high degree ofgraphitization,as in the case of a fiber that involves both carbonization and graphitization in its fabrication process)and high-strength fiber(with a relatively low degree of graphitization, as in the case of a fiber that involves carbonization but no graphitization in its fabrication process). A high degree of graphitization enhances the oxidation resistance of the fiber. The oxidation of carbon refers to the reaction of carbon with oxygen to form carbon monoxide or carbon dioxide gas,which vanishes.This reaction occurs only at an elevated temperature.As a result,carbon fiber cannot withstand a high temperature in the presence of oxygen,although it can withstand extremely high temperatures in the absence of oxygen.This oxidation problem also applies to the
2.2 Carbon Fibers 39 than the carbon matrix due to the crystallographic texture (preferred crystallographic orientation) in each fiber. Moreover, the carbon fibers serve to toughen the composite, as the debonding between the fibers and the matrix provides a mechanism for energy absorption during mechanical deformation. In addition to having attractive mechanical properties, carbon–carbon composites are more thermally conductive than carbon fiber polymer-matrix composites. However, at elevated temperatures (above 320°C), carbon–carbon composites degrade due to the oxidation of carbon (especially the carbon matrix), which forms CO2 gas. To alleviate this problem, carbon–carbon composites are coated. Carbon fiber ceramic-matrix composites are more oxidation resistant than carbon–carbon composites. The most common form of such a composite is carbon fiber reinforced concrete. Although the oxidation of carbon is catalyzed by an alkaline environment and concrete is alkaline, the chemical stability of carbon fibers in concrete is superior to that of competitive fibers, such as polypropylene, glass, and steel. Composites containing carbon fibers in more advanced ceramic matrices (such as SiC) are rapidly being developed. The conductivity of carbon fiber and the nonconductivity of the polymer matrix enable carbon fiber polymer-matrix composites to be tailored for functional properties. For example, the electrical resistivity of a carbon fiber polymer-matrix composite is sensitive to the damage in the composite, thereby allowing the composite to be a sensor of its own damage. Damage in the form of fiber breakage increases the resistivity in the fiber direction of the composite. Damage in the form of delamination increases the resistivity in the through-thickness direction of the composite, since delamination diminishes the extent of fiber–fiber contact across the interlaminar interface. In other words, the fibers of one lamina cannot contact those of an adjacent lamina in the area where the two laminae are separated by a delamination crack. Damage monitoring, also known as structural health monitoring, is practically important, due to the aging and deterioration of aircraft made of composites. A high degree of graphitization is attractive due to the resulting high values of modulus, electrical conductivity and thermal conductivity along the fiber axis. Although a high degree of crystallization enhances the modulus, it is detrimental to the strength of the fiber. This is because high crystallinity facilitates the sliding of a carbon layer relative to another layer, thus resulting in easy shear of the layers and hencelowstrengthinthefiber.Therefore,therearetwomaingradesofcarbonfiber, namelyhigh-modulusfiber(witharelativelyhighdegreeofgraphitization,asinthe case of a fiber that involves both carbonization and graphitization in its fabrication process) and high-strength fiber (with a relatively low degree of graphitization, as in the case of a fiber that involves carbonization but no graphitization in its fabrication process). A high degree of graphitization enhances the oxidation resistance of the fiber. The oxidation of carbon refers to the reaction of carbon with oxygen to form carbon monoxide or carbon dioxide gas, which vanishes. This reaction occurs only at an elevated temperature. As a result, carbon fiber cannot withstand a high temperature in the presence of oxygen, although it can withstand extremely high temperatures in the absence of oxygen. This oxidation problem also applies to the