Pks Composite Part1

Embed Size (px)

Citation preview

  • 8/9/2019 Pks Composite Part1

    1/206

    COMPOSITE MATERIALS AND

    STRUCTURES

    P. K. Sinha

  • 8/9/2019 Pks Composite Part1

    2/206

    COMPOSITE MATERIALS AND STRUCTURES 

    P. K. Sinha 

    Published by Composite Centre of Excellence, AR & DBDepartment of Aerospace Engineering

    I.I.T. Kharagpur

  • 8/9/2019 Pks Composite Part1

    3/206

     

    DedicatedToMy Family MembersIncluding Students

  • 8/9/2019 Pks Composite Part1

    4/206

    CHAPTER-1

    INTRODUCTION

    1.1 NATURAL AND MAN-MADE COMPOSITES

    A composite is a material that is formed by combining two or more materials to

    achieve some superior properties. Almost all the materials which we see around us are

    composites. Some of them like woods, bones, stones, etc. are natural composites, as they

    are either grown in nature or developed by natural processes. Wood is a fibrous material

    consisting of thread-like hollow elongated organic cellulose that normally constitutes

    about 60-70% of wood of which approximately 30-40% is crystalline, insoluble in water,

    and the rest is amorphous and soluble in water. Cellulose fibres are flexible but possess

    high strength. The more closely packed cellulose provides higher density and higher

    strength. The walls of these hollow elongated cells are the primary load-bearing

    components of trees and plants. When the trees and plants are live, the load acting on a

     particular portion (e.g., a branch) directly influences the growth of cellulose in the cell

    walls located there and thereby reinforces that part of the branch, which experiences more

    forces. This self-strengthening mechanism is something unique that can also be observed

    in the case of live bones. Bones contain short and soft collagen fibres i.e., inorganic

    calcium carbonate fibres dispersed in a mineral matrix called apatite. The fibres usually

    grow and get oriented in the direction of load. Human and animal skeletons are the basic

    structural frameworks that support various types of static and dynamic loads. Tooth is a

    special type of bone consisting of a flexible core and the hard enamel surface. The

    compressive strength of tooth varies through the thickness. The outer enamel is the

    strongest with ultimate compressive strength as high as 700MPa. Tooth seems to have

     piezoelectric properties i.e., reinforcing cells are formed with the application of pressure.

    The most remarkable features of woods and bones are that the low density, strong and

    stiff fibres are embedded in a low density matrix resulting in a strong, stiff and

    lightweight composite (Table 1.1). It is therefore no wonder that early development of

    aero-planes should make use of woods as one of the primary structural materials, and

    about two hundred million years ago, huge flying amphibians, pterendons and pterosaurs,

    with wing spans of 8-15 m , could soar from the mountains like the present–day hang-

      1

  • 8/9/2019 Pks Composite Part1

    5/206

    gliders. Woods and bones in many respect, may be considered to be predecessors to

    modern man-made composites.

    Early men used rocks, woods and bones effectively in their struggle for existence

    against natural and various kinds of other forces. The primitive people utilized these

    materials to make weapons, tools and many utility-articles and also to build shelters. In

    the early stages they mainly utilized these materials in their original form. They gradually

    learnt to use them in a more efficient way by cutting and shaping them to more useful

    forms. Later on they utilized several other materials such as vegetable fibres, shells, clays

    as well as horns, teeth, skins and sinews of animals.

    Table 1.1 Typical mechanical properties of natural fibres and natural composites

    Materials Density Tensile modulus Tensile strength

    Kg/m3

    GPa MPa

    Fibres

    Cotton 1540 1.1 400

    Flax 1550 1 780

    Jute 850 35 600

    Coir 1150 4 200

    Pineapple leaf 1440 65 1200

    Sisal 810 46 700

    Banana 1350 15 650

    Asbestos 3200 186 5860

    Composites

    Bone 1870 28 140

    Ivory 1850 17.5 220

    Balsa 130 3.5 24

    Spruce 470 11 90

    Birch 650 16.5 137

    Oak 690 13 90

    Bamboo 900 20.6 193

    2

  • 8/9/2019 Pks Composite Part1

    6/206

     

    Woods, stones and clays formed the primary structural materials for building

    shelters. Natural fibres like straws from grass plants and fibrous leaves were used as

    roofing materials. Stone axes, daggers, spears with wooden handles, wooden bows,

    fishing nets woven with vegetable fibers, jewelleries and decorative articles made out of

    horns, bones, teeth, semiprecious stones, minerals, etc. were but a few examples that

    illustrate how mankind, in early days, made use of those materials. The limitations

    experienced in using these materials led to search for better materials to obtain a more

    efficient material with better properties. This, in turn, laid the foundation for development

    of man-made composite materials.

    The most striking example of an early man-made composite is the straw-

    reinforced clay which molded the civilization since prehistoric times. Egyptians, several

    hundred years B.C., were known to reinforce the clay like deposits of the Nile Valley

    with grass plant fibres to make sun baked mud bricks that were used in making temple

    walls, tombs and houses. The watchtowers of the far western Great Wall of China were

    supposed to have been built with straw-reinforced bricks during the Han Dynasty (about

    200 years B.C.). The natural fibre reinforced clay, even to-day continues to be one of the

     primary housing materials in the rural sectors of many third world countries.

    The other classic examples are the laminated wood furniture used by early

    Egyptians (1500 B.C.), in which high quality wood veneers are bonded to the surfaces of

    cheaper woods. The origin of paper which made use of plant fibres can be traced back to

    China (108 A.D.). The bows used by the warriors under the Mongolian Chief Djingiz

    Chan (1200 A.D.) were believed to be made with the adhesive bonded laminated

    composite consisting of buffalo or anti-lope horns, wood, silk and ox-neck tendons.

    These laminated composite bows could deliver arrows with an effective shoot in range of

    about 740 m.

    Potteries and hydraulic cement mortars are some of the earliest examples of

    ceramic composites. The cloissone ware of ancient China is also a striking example of

    wire reinforced ceramics. Fine metallic wires were first shaped into attractive designs

    which were then covered with colored clays and baked. In subsequent years, fine metallic

    wires of various types were cast with different metal and ceramic matrices and were

    3

  • 8/9/2019 Pks Composite Part1

    7/206

    utilized in diverse applications. Several other matrix materials such as natural gums and

    resins, rubbers, bitumen, shellac, etc. were also popular. Naturally occurring fibres such

    as those from plants (cotton, flux, hemp, etc.), animals (wool, fur and silk) and minerals

    (asbestos) were in much demand. The high value textiles woven with fine gold and silver

    threads received the patronage from the royalty and the rich all over the world. The

    intricate, artful gold thread embroidery reached its zenith during the Mughal period in the

    Indian subcontinent. The glass fibres were manufactured more than 2000 years ago in

    Rome and Mesopotamia and were abundantly used in decoration of flower vases and

    glass wares in those days.

    The twentieth century has noticed the birth and proliferation of a whole gamut of

    new materials that have further consolidated the foundation of modern composites.

     Numerous synthetic resins, metallic alloys and ceramic matrices with superior physical,

    thermal and mechanical properties have been developed. Fibres of very small diameter

    (

  • 8/9/2019 Pks Composite Part1

    8/206

    adaptability, cost effectiveness, etc. have attracted the attention of many users in several

    engineering and other disciplines. Every industry is now vying with each other to make

    the best use of composites. One can now notice the application of composites in many

    disciplines starting from sports goods to space vehicles. This worldwide interest during

    the last four decades has led to the prolific advancement in the field of composite

    materials and structures. Several high performance polymers have now been developed.

    Substantial progress has been made in the development of stronger and stiffer fibres,

    metal and ceramic matrix composites, manufacturing and machining processes, quality

    control and nondestructive evaluation techniques, test methods as well as design and

    analysis methodology. The modern man-made composites have now firmly established as

    the future material and are destined to dominate the material scenario right through the

    twenty-first century.

    5

  • 8/9/2019 Pks Composite Part1

    9/206

     

    Table 1.2 Comparative mechanical properties of some man-made structural

    composites and metallic alloys

    Materials Specific Tensile Tensile Compressive Specific Specific Specific

    gravity modulus strength strength tensile tensile compressive

    modulus strength strength

    S E Xt  Xc E/S Xt/S Xc/S

    G Pa M Pa M Pa G Pa M Pa M Pa

    Unidirectional Fibre Reinforced Plastics

    GFRP 2.0 40 1650 1400 20.00 825.0 700.0

    CFRP 1.6 140 1450 1050 87.50 906.3 656.3

    KFRP 1.5 90 1650 300 60.00 1100.0 200.0

    Metals

    Steel 7.8 206 400-2500 400-2500 26.40 50-320 50-320

    Ti alloy 4.5 103 360-1400 360-1400 22.90 80-310 80-310

    Al alloy 2.8 69 55-700 55-700 24.60 20-250 20-250

    Mg alloy 1.8 47 150-300 150-300 25.00 83-166 83-166

    Beryllium 1.8 303 400 400 168-33 222 222

    1.2 AEROSPACE APPLICATIONS

    One of the primary requirements of aerospace structural materials is that they

    should have low density and, at the same time, should be very stiff and strong. Early

     biplanes used wood for structural frameworks and fabrics for wing surfaces. The fuselage

    of World War I biplane fighter named Vieux Charles was built with wire braced wood

    framework. The monoplane, Le Monocoque, had an unusually smooth aerodynamic

    design. Its fuselage was made with laminated tulip wood, where one layer was placed

    along the length of the fuselage, the second in a right-hand spiral and the third in a left

    hand spiral around the fuselage. This laminated single shell wood construction provided

    highly polished, smooth surfaces. There was a significant reduction in the drag, and the

     plane could achieve a high speed of 108 mph. It won the Gordon Bennett speed race in

    6

  • 8/9/2019 Pks Composite Part1

    10/206

    Chicago in 1912. Almost all biplanes and monoplanes, with very few exceptions, were

     built of wood during the first quarter of the twentieth century. Lighter woods like balsa,

     poplar, spruce, tulip, etc. were more popular. The five-seater Lockheed Vega (first flight

    in 1927) also had highly polished, smooth, streamlined fuselage made of strips of spruce

    wood bonded together with resin. The Vegas were considered to be the precursor of the

    modern transport airplane and had the distinction of successfully completing many major

    flights such as crossing the American continent non-stop from Los Angels to New York,

    over-flying the Atlantic, encircling the globe and succeeding in several other long distant

    flights and races. Soaring planes, in those days, also had highly polished thin plywood

    fuselages.

    The thirties and forties noticed a gradual shift from wood to aluminium alloy

    construction. With the increase in the size and speed of airplanes, the strength and

    stiffness requirements for a given weight could not be met from wooden construction.

    Several new structural features, e.g., skin-stringer construction, shear webs, etc. were

    introduced. The aerospace grade aluminium alloys were made available. Two important

    airplanes Northrop Alpha and Boeing Monomail, which were forerunners in the

    development of several other aircraft, had aluminium alloy monocoque fuselage and a

    wood wing. These aircraft were introduced in 1930, although they were not the first to

    use metals. The switch over to light aluminium alloys in aircraft construction was no

    doubt, a major step in search for a lightweight design. The trend continued till fifties, by

    which almost all types of airplanes were of all-metal design.

    However, the limitations of aluminium alloys could be assessed as early as fifties

    with the speed of the aircraft increasing sharply (significantly more than the speed of

    sound), the demand for a more weight optimized performance, the fuel-efficient design

    and so on. The aluminium was stretched to its maximum limit. The search for newer and

     better materials was the only alternative. Continuous glass fibres, which were

    commercially available since thirties, are found to be very strong, durable, creaseless,

    non-flamable and insensitive to weathering. The glass fibres coated with resin can be

    easily moulded to any complex curved shape, especially that of a wing root and fuselage

    intersection and can be laid layer wise with fibres aligned in a desired direction as in the

    case of the three-layered wood fuselage of Le Monocoque. Fibreglass fabrics were

    7

  • 8/9/2019 Pks Composite Part1

    11/206

    successfully used in a series of Todai LBS gliders in Japan during the mid-fifties. Todai

    LBS-1 had spoilers made from fiberglass fabrics. Todai LBS-2 had a wood wing and a

    sandwich monocoque fuselage whose wall consisted of a balsa wood core sandwiched

     between two glass fibre reinforced composite face skins. The wing skin of another

    important glider, the Phoenix (first flight in 1957), developed in Germany was a

    sandwich with fiberglass-polyester faces and balsa wood core. The other successful glider

    SB-6, first flown in 1961, had a glass fibre-epoxy shell and a glass fibre composite-balsa

    sandwich box spar. The remarkable feature of all these gliders is that they exhibited

    superior flight performance and thus became the trend-setters in the use of glass fibre

    reinforced plastics.

    Glass fibres are strong, but not stiff enough to use them in high sped aircraft. The

    search for stiffer fibres to make fibre reinforced composite started in the fifties in several

    countries. The laboratory scale production of high-strength carbon fibres by Royal

    Aircraft Establishment, Farnborough, U.K. was reported in 1952. In USA, Union Carbide

    developed high-modulus continuous carbon fibres in 1958. High-strength graphite fibres

    were developed at the Government Industrial Research Institute of Osaka, Japan in 1959.

    Before the end of sixties the commercial production of carbon fibres (PAN based) started

    in full scale. Very high modulus boron fibres were also introduced during this time. High

    strength, low density organic fibres, Kevlar 49, were also marketed by Dupont, USA

    during early seventies. A host of synthetic resins, especially structural grade epoxy resins,

    were also commercially available. All these advanced materials provided the much-

    needed alternatives to less efficient aluminium alloy and fiberglass composites. The

    switch-over from the aluminium and GFRP to advanced composites in airframe

    construction was, however, very slow at the initial stage (Fig. 1.2). It started with the F-

    14 fighter and the F-111 fighter bomber around 1972, but in the period of about two and a

    half decades, there were quite a few airplanes, in which almost all structures are made of

    composites (Table 1.3). Similar trend in material uses can be observed in the

    development of helicopters as well. As early as 1959-60, the Vetrol Company, now

    Boeing Helicopters, developed helicopter rotor blades with glass-epoxy faces and

    aluminium honeycomb core. In course of time several structural parts such as horizontal

    stabilizer, vertical pylon, tail cone, canopies, fuselage, floor board, rotor hub and landing

    8

  • 8/9/2019 Pks Composite Part1

    12/206

    gears were developed with various composites, which later culminated in the

    development of the all composite helicopter, Boeing Model 360 which was flight tested

    in 1987.

    The manufacturers of passenger aircraft soon realized the significance of using

    composites in the airframe structure. CFRP, KFRP and hybrid composites were

    extensively used throughout the wing, fuselage and tailplane sections of Boeing 767.

    Although the application of composites in civilian aircraft is relatively less, this trend is

    likely to change by the turn of the twenty-first century with the introduction of supersonic

    civil transports. Some of the future transport planes may fly at a very high speed (Mach

    2-5). Significant advancement has been made in several high technology areas such as

    supersonic V/STOL flights, lightweight air superiority fighters with thrust vectoring,

    supersonic interceptors and bombers with high Mach number, advanced lightweight

    helicopters with tilt rotors, aerospace planes and hypersonic vehicles with multi-mode

    trans atmospheric cruise capability such as take-off and landing with a turbine engine,

    accelerating to Mach number 10-12 with a Scramjet and achieving an orbital velocity

    with a rocket engine. The composite materials will provide an increased number of

    choices to meet the tight weight budget and the critical performance level for all these

    advanced flight vehicles.

    Table 1.3 Advanced composites in selected aerospace applications

    Vehicles Components Composites

    Sailplanes

    SB-10 Middle portion of the wing CFRP

    SB-11, SB-12

    Ventus, Nimbus,

    AS-W22 All composite CFRP

    Aeroplanes

    F-14 Stabilator BFRP

    9

  • 8/9/2019 Pks Composite Part1

    13/206

    F-15, F-16 Horizontal and Vertical tail skins BFRP 

    Speed brakes CFRP

    A-4 Flap, Stabilator CFRP

    F-5 Leading edge CFRP

    Vulcan Airbrakes CFRP

    Mirage 2000 Rudder Boron/carbon/epoxy

    AV-8B Wing skin, Control surfaces,

    Front fuselage CFRP

    Rafale Wing structure CFRP

    Boeing 757 Control surface, Cowlings, Under

    &767 carriage doors, Fairings CFRP

    A 310-300 Fin box CFRP

    Lear Fan 2100 All composite CFRP

    Voyager All composite CFRP

    Starship All composite CFRP

    Airbus, Concorde,

    Delta 2000, Brake discs Carbon/carbon

    Falcon 900

    DC-10 Aft pylon Boron/aluminium

    C-5A Wing box SiC/aluminium

    F-111 Fuselge segment Boron/aluminium

    Rockets and

    Space Vehicles

    Tactical Nose cone, Inlet Quartz/polyimide

    Missiles fairing, Fins Carbon/polyimide

    Polaris,

    Minuteman, Rocket cases KFRP, GFRP

    Poseidon,

    Trident

    Tomahawk Shaft for turbofan Borosic/titanium

    PSLV Upper stage solid motor case KFRP

    10

  • 8/9/2019 Pks Composite Part1

    14/206

    ARIANE Dual-launch structures, Fairings CFRP

    Hubble Space High-gain antenna boom Graphite/6061 Al

    Telescope

    INTELSAT Antennas, CFRP & KFRP

    Antenna support structure,

    Multiplexers, Solar array wings CFRP

    Viking Parabolic antenna reflector CFRP sandwich

    Boom CFRP

    Voyager Parabolic reflector, Subreflector CFRP

    support structure

    Dichroic subreflector KFRP

    INSAT,

    ARABSAT, ITALSAT Antenne reflectors CFRP

    OLYMPUS

    EUTELSAT Dual-grided reflectors CFRP & KFRP

    TDF-1 Solar array wing CFRP

    EURECA Micro-gravity spacecraft

     platform truss structure CFRP

    Space shuttle Main frame and rib-truss struts,

    Frame stabilizing braces, Nose landing Boron/aluminium

    gear and drag-brace struts

    The materials for the next-generation aeroengines will go a sea-through change in

    view of much hotter running engines to increase the thermal efficiency and enhance the

    thurst-to-weight ratio. It is envisaged that, for the future military aircraft, the thrust-to-

    weight ratio will double, while the fuel consumption will reduce by 50%. Metal-matrix

    composites (MMCs) and ceramic-matrix composites (CMCs), which are thermally stable

    and can withstand loads at high temperatures (Fig.1.3) will be of immense use in such

    applications. Carbon-carbon composites, which are ceramic composites can withstand

    load beyond 20000C. The use of these advanced materials in aeroengines is likely to pick

    up in the first decade of the twentifirst century (Fig.1.4). Fan blades, compressor blades,

    11

  • 8/9/2019 Pks Composite Part1

    15/206

    vanes and shafts of several aeroengines are now either employing or contemplating to use

    in the near future metal matrix composites with boron, borsic, boron carbide, silicon

    carbides or tungsten fibres and aluminium, titanium, nickel and super alloy (e.g. NiCrAly

    or FeCrAly) matrices. S-glass, quartz

    And carbon fibre reinforced polyimides have recently been used on radomes and fins

    operating at high temperatures for short and long duration, because polyimides have high

    temperature strength retention properties compared to epoxies and phenolics. Carbon-

    carbon composites have been successfully employed in the brake discs of aircraft, rocket

    nozzles and several other components operating in extreme thermal environments.

    The material menu for rockets, missiles, satellite launch vehicles, satellites and

    other space vehicles is quite extensive and diverse. The trend is to design some of the

    upper stage structural components like payload structures, satellite frame works and

    central cylindrical shells, solar panel wings, solar booms, antennas, optical structures,

    thermal shields, fairings, motor cases and nozzles, propellant tanks, pressure vessels, etc.

    with composite materials to derive the maximum weight benefit. All space vehicles of

    recent origin have several composite structural systems. CFRP is the obvious choice

     because of its excellent thermo-mechanical properties, i.e., high specific stiffness and

    strength, higher thermal conductivity and lower coefficient of thermal expansion. The

    future large space stations are likely to be built with CFRP. Although BFRP has several

     positive features, it is mainly used for stiffening purposes. Both GFRP and KFRP are

    favoured for design of pressurized systems for their superiority in strength and cost-

    effectiveness. Beryllium, although not a composite, possesses highly favourable

     properties (Table 1.2) but it is sparingly used due to safety hazards, especially during

    fabrication. The examples of space applications of composites are too many. One of the

    early major application is the graphite-epoxy mesh grid off-set parabolic antenna

    reflector developed by Hughes Aircraft Company for the Canadian ANIK satellite which

    was launched in 1972. The European Remote Sensing Satellite ERS-I has several

    composite parts plus a large 10m long metallised graphite-epoxy radar antenna array. The

    Voyager spacecraft contains a large 3.7m diameter CFRP parabolic antenna reflector.

    The fairing of ARIANE 4 is a graphite composite stiffened shell structure of maximum

    4m diameter and 8.6m height. A few other typical examples are listed earlier in Table

    12

  • 8/9/2019 Pks Composite Part1

    16/206

    1.3. The composite application in the aerospace industries is a process of continuous

    development in which newer and more improved material systems are being utilized to

    meet the critical design and flight worthiness requirements.

    1.3 OTHER STRUCTURAL APPLICATIONS

    1.3.1 Civil Engineering

    The interest in the use of glass fibre reinforced polyesters in building structures

    started as early as sixties. The beautiful GFRP dome structure in Benghajj was

    constructed in 1968. The other inspiring example is the GFRP roof structure of Dubai

    Airport. This was built in 1972 and is comprised of clustered umbrella like hyperbolic

     paraboloids. Several GFRP shell structures were erected during seventies. Another

    striking example is the dome complex at Sharajah International Airport, which was

    constructed during early eighties. The primary advantage of using composites in shell

    structure is that any complex shell shape, either synclastic, anticlastic or combination of

     both, which is of architectural significance and aesthetic value, can be easily fabricated.

    The composite folded plate system and skeletal structures also became popular. The roof

    of Covent Garden Flower Market at Nine Elms, London covering an area of 1ha is an

    interesting example which was based on a modular construction. In this, pyramidal

    square modules were connected at their apices and bases to two-way skeletal grids. The

    modular construction technique helps to build a large roof structure which is normally

    encountered in the design of community halls, sports complexes, marketing centres,

    swimming pools, factory sheds, etc. Several other applications, where GFRP has been

    successfully used, include movable prefabricated houses, exterior wall panels, partition

    walls, canopies, stair cases and ladders, water tanks, pipes and drainages and led to its

    wide use in radomes and antenna towers. In one particular construction, the top 100 ft of

    a radar microwave link tower was built with GFRP and the guys were Kevlar fibres (also

    radio transparent) to reduce unwanted disturbances in air traffic control radar signals.

    Considering the future prospects of composites in civil structural application, ASCE

    Structural Plastics Research Council, as early as seventies endeavoured to develop design

    methods for structural plastics, both reinforced and unreinforced. However, the major

    deterrent for the popularity of composites in civil engineering structures is the material

    13

  • 8/9/2019 Pks Composite Part1

    17/206

    cost. But, in many applications, GFRP and KFRP may be cheaper considering the

    cumulative cost. The low structural weight will have direct bearing in lowering the cost

    of supporting skeletal structures and foundation. Moreover, ease of fabrication and

    erection, low handling and transportation cost, less wear and corrosion, simpler

    maintenance and repairing procedures, non-magnetic properties, integrity and durability

    as well as modular construction will cumulatively reduce the cost in the long run. The

    Living Environment house, developed by GE plastics in 1989, is an illustrative example

    of the multipurpose use of composites in a building.

    1.3.2 Automotive Engineering

    Feasibility studies were carried out, since early seventies, to explore the

     possibilities of using composites in the exterior body panels, frameworks/chassis,

     bumpers, drive shafts, suspension systems, wheels, steering wheel columns and

    instrument panels of automotive vehicles. Ford Motor Co. experimented with the design

    and development of a composite rear floor pan for an Escort model using three different

    composites: a vinyl-ester-based SMC and XMC and a glass fibre reinforced

     prolypropylene sheet material. Analytical studies, static and dynamic tests, durability

    tests and noise tests demonstrated the feasibility of design and development of a highly

    curved composite automotive part. A composite GM heavy truck frame, developed by the

    Convair Division of General Dynamics in 1979, using graphite and Kevlar fibres (2:1 by

     parts) and epoxy resin (32% by wt) not only performed satisfactorily but reduce the

    weight by 62% in comparison to steel for the same strength and stiffness. The hybrid

    glass/carbon fibre composite drive shafts, introduced around 1982 in Mazdas, provided

    more weight savings, lower maintenance cost, reduced level of noise and vibration and

    higher efficiency compared to their metal counterparts. The more recent pickup truck

    GMT-400 (1988 model) carries a composite driveshaft that is pultruded around a 0.2cm

    thick and 10cm diameter aluminium tube. The composite driver shaft is 60% lighter than

    the original steel shaft and possesses superior dampening and torsional properties.

    Chevrolet Corvette models carry filament wound composite leaf springs (monoleaf) in

     both rear suspension (1081) and front suspension (1984). These springs were later

    introduced during 1985 on the GM Chevrolet Astro van and Safari van. Fibre glass

    reinforced polypropylene bumper beams were introduced on Chevrolet Corvette Ford and

    14

  • 8/9/2019 Pks Composite Part1

    18/206

    GM passenger cars (1987 models). Other important applications of composites were the

    rear axle for Volkswagen Auto-2000, Filament wound steering wheels for Audi models

    and composite wheels of Pontiac sports cars. Composites are recognized as the most

    appropriate materials for the corrosion resistant, lightweight, fast and fuel efficient

    modern automobiles, for which aerodynamics constitute the primary design

    considerations. All major automotive components like space frames, exterior and interior

     body panels, instrument panel assemblies, power plants, power trains, drive trains, brake

    and steering systems, etc. are now being fabricated with a wide variety of composites that

    include polymer, metal and ceramic matrix composites. The latter two composites will be

    of significance in heated engine components and brake pads. The pistons and connecting

    rods of modern diesel and IC engines are invariably made of composites with alumina

    fibres and aluminium or magnesium alloy matrices. The Ford`s probe V concept car is a

    classical example of multiple applications of composites in an automobile car. The

     present trend is to use composites even in the design of large size tankers, trailers,

    delivery vans and passenger vehicles.

    1.4 OTHER APPLICATIONS

    Strong, stiff and light composites are also very attractive materials for marine

    applications. GFRPs are being used for the last 3-4 decades to build canoes, yatchs, speed

     boats and other workboats. The hull of a modern racing yatch, New Zealand, is of

    sandwich construction with CFRP faces. There is currently a growing interest to use

    composites, in a much larger scale, in ship industries. A new cabin construction material

    that is being tried in the Statendam-class ship building is a metallic honeycomb sandwich

    with resin-coated facing, that may lead to substantial weight saving. The Ulstein water jet

    has a long moulded inlet tract for better control of dimensional accuracy. The

    carbon/aluminium composite has been used for struts and foils of hydrofoils, and the

    silicon carbide/aluminium composite has been employed in pressure hulls and torpedo

    structures. The composites are also being increasingly used in the railway transportation

    systems to build lighter bogeys and compartments. The other important area of

    application of composites is concerned with fabrication of energy related devices such as

    wind-mill rotor blades and flywheels.

    15

  • 8/9/2019 Pks Composite Part1

    19/206

      The light artificial limbs and external bracing systems made of CFRP provide the

    required strength, stiffness and stability in addition to lightness. Carbon fibres are

    medically biocompatible. Composites made with carbon fibres and biocompatible metals

    and polymers have been found to be suitable for a number of applications in

    orthopaedics. A carbon–carbon composite hip joint with an aluminium oxide head has

     performed satisfactorily. Matrices such as polyethylene, polysulfone and

     polyaryletherketone reinforced with carbon fibres are also being used to produce

    orthopaedic implants.

    Composites also have extensive uses in electrical and electronic systems. The

     performance characteristics of CFRP antennas are excellent due to very low surface

    distortion. Composite antenna dishes are much lighter compared to metallic dishes.

    Leadless ceramic chip carriers are reinforced with Kevlar or Kevlar-glass coweave

     polyimides to reduce the incidence of solder joint microcracking due to stresses induced

     by thermal cycling. The stress level is reduced by matching the low coefficient of

    thermal expansion of ceramic chip carriers with that of tailored composites.

    Composites are, now-a-days, preferred to other materials in fabrication of several

    important sports accessories. A light CFRP golf shaft gives the optimum flexural and

    torsional strength and stiffness properties in terms of accuracy and the distance travelled

     by the ball. All graphite and graphite hybrid composite archery bows and arrows enhance

    arrow speed with a flattened trajectory and increased efficiency. The reduction in weight

    of a CFRP bobsleigh permits ballast to be added in the nose of the sleigh and thereby

    improves the aerodynamic characteristics due to the change in the position of the centre

    of gravity with respect to the centre of aerodynamic pressure. There are several other

    interesting composite leisure time items such as skis, tennis and badminton rackets,

    fishing rods, vaulting poles, hockey sticks, surf boards, and the list is likely to be endless

    in the twenty-first century. The day is not far when common utility goods will be made

    with composites. A few such examples are illustrated in Figs.1.5.

    16

  • 8/9/2019 Pks Composite Part1

    20/206

     

    1.5 BIBLIGRAPHY

    1. N.J.Hoff, Innovation in Aircraft Structures-Fifty years Ago and Today, AIAA

    Paper No. 84-0840,1984.

    2. R.J. Schliekelmann, A Soft and Hard Future - A Look into Past and Future

    Developments of Structural Materials, AIAA International Annual Meeting on Global

    Technology 2000, Baltimore, 1980.

    3. S.M. Lee (Ed.), International Encyclopedia of Composites, Vols.1-6, VCH

    Publishers, New York 1990-1991.

    4. J.W. Weeton, D.M. Peters and K.L. Thomas (Eds.) Engineer`s Guide to

    Composite Materials, American Soceity of Metals, Metals Park, Ohio,1987.

    1.6 EXERCISE

    1. What are the special features of a structural composite? Compare between

    natural and man-made structural composites.

    2. Why composites are favoured in engineering applications? Write a brief note

    on their uses in various engineering disciplines.

    17

  • 8/9/2019 Pks Composite Part1

    21/206

    18

  • 8/9/2019 Pks Composite Part1

    22/206

     

    19

  • 8/9/2019 Pks Composite Part1

    23/206

      20

  • 8/9/2019 Pks Composite Part1

    24/206

     

    21

  • 8/9/2019 Pks Composite Part1

    25/206

      22

  • 8/9/2019 Pks Composite Part1

    26/206

     

    23

  • 8/9/2019 Pks Composite Part1

    27/206

    CHAPTER-2

    COMPOSITE MATERIALS

    2.1 INTRODUCTION 

    From this chapter onwards we restrict our attention primarily to man-made

    modern composites that are used in structural applications. The main constituents of

    structural composites are the reinforcements and the matrix. The reinforcements, which

    are stronger and stiffer, are dispersed in a comparatively less strong and stiff matrix

    material. The reinforcements share the major load and in some cases, especially when a

    composite consists of fibre reinforcements dispersed in a weak matrix (e.g., carbon/epoxy

    composite), the fibres carry almost all the load. The strength and stiffness of such

    composites are, therefore, controlled by the strength and stiffness of constituent fibres.

    The matrix also shares the load when there is not much difference between the strength

    and stiffness properties of reinforcements and matrices (e.g., SiC/Titanium composite).

    However, the primary task of a matrix is to act as a medium of load transfer between one

    reinforcement to the other. It also holds the reinforcements together. In that regard, the

    matrix plays a very vital role. Besides, the matrix may considerably influence the hygral,

    thermal, electrical, magnetic and several other properties of a composite. For example, to

    obtain a good conducting composite with SiC fibres one may choose an aluminium

    matrix rather than a titanium matrix. It may be noted that both the SiC fibres and the

    titanium matrix possess very poor thermal conductivities.

    The classifications of composites are commonly based on either the forms of

    reinforcements or the matrices used. There are two major forms of reinforcements: fibres

    (including whiskers) and particles (having various shapes and sizes). Accordingly, there

    are two broad classes of composites – fibre reinforced composites and particle reinforced

    composites (or simply particulate composites). On the other hand, there are three

    important groups of matrices, namely, polymers, metals (and their alloys) and ceramics.

    The composites made using these matrices are classifies as polymer matrix composites

    (or polymer composites), metal matrix composites and ceramic matrix composites.

    24

  • 8/9/2019 Pks Composite Part1

    28/206

    Composites are also grouped in several other ways. One important class of composites is

    termed as laminar composites. They are also called laminated composites or laminates. A

    laminate usually consists of two or more layers of planar composites in which each layer

    (also called lamina or ply) may be of the same or different materials. Similarly, a

    sandwich laminate is a composite construction in which a metallic or composite core

    layer is sandwiched between two metallic or composite face layers. The composite face

    layers may also be in the form of laminates. Laminated and sandwich composite

    structures are very strong and stiff, and are commonly recommended for lightweight

    structural applications.

    2.2 REINFORCEMENTS

    2.2.1 Fibres 

    Fibres constitute the main bulk of reinforcements that are used in making

    structural composites. A fibre is defined as a material that has the minimum 1/d ratio

    equal to 10:1, where 1 is the length of the fibre and d is its minimum lateral dimension.

    The lateral dimension d (which is the diameter in the case of a circular fibre) is assumed

    to be less than 254 µm. The diameter of fibres used in structural composites normally

    varies from 5µm to 140µm. A filament is a continuous fibre with the l/d ratio equal toinfinity. A whisker is a single crystal, but has the form of a fibre.

    Common low density fibres are manufactured from lighter materials especially

    those based on elements with low atomic number (e.g., H, Be, B, C, N, O, Al, Si, etc.).

    The cross-section of a fibre may be circular, for example as in the cases of glass, boron

    and Kevlar fibres, but some fibres may have regular prismatic cross-sections (e.g.,

    whiskers) or arbitrary cross-sections (e.g., PAN, rayon and special pitch based carbon

    fibres). The irregularity in the cross-section may introduce anisotropy in the fibre. Thetypical microstructural morphology of common fibres are shown in Fig.2.1.

    From the micro-structure point of view, fibres can be either amorphous (glass),

     polycrystalline (carbon, boron, alumina, etc.) or single crystals (silicon carbide, alumina,

     beryllium and other whiskers). The strength and stiffness properties of a fibre are

    25

  • 8/9/2019 Pks Composite Part1

    29/206

    significantly higher compared to those of the bulk material from which the fibre is

    formed. Most of the common fibres are brittle in nature. The tensile strength of bulk

     brittle material is considerably lower than the theoretical strength, as it is controlled by

    the shape and size of a flaw that the bulk material may contain. As the diameter of a fibre

    is very small, a flaw, it may contain, must be smaller than the fibre diameter. The smaller

    flaw size, in turn, reduces the criticality of the flaw and thereby the tensile strength is

    enhanced. For example, the tensile strength of an ordinary glass (bulk) may be as low as

    100-200 MPa, but that of a S-glass fibre may be as high as 5000 MPa. However, the

    tensile strength of a perfect glass fibre, based on intermolecular forces, is 10350 MPa.

    Further, the orientation of crystallites along the fibre direction also helps considerably in

    improving the strength properties. A whisker, being a single crystal, is not prone to

    crystal defects unlike polycrystalline fibres and provides very high strength and stiffness

     properties. The tensile strength and tensile modulus of a graphite whisker are as high as

    25000 MPa and 1050 GPa, respectively. These values are quite significant compared to

    those of commercial fibres. The typical longitudinal tensile properties of a commercially

    available PAN based T300 fibre are 2415 MPa (strength) and 220 GPa (modulus).

    Typical thermomechanical and thermal properties of common fibres are listed in Tables

    2.1 and 2.2, respectively.

    Both inorganic and organic fibres are used in making structural composites.

    Inorganic fibres (including ceramic fibres) such as glass, boron, carbon, silicon carbide,

    silica, alumina, etc. are most commonly used. The structural grade organic fibres are

    comparatively very few in number. Aramid fibres are the most popular organic fibres.

    Another recent addition is a high strength polyethylene fibre (Spectra 900) which has a

    very low density and excellent impact resistant properties. The carbon fibres may also be

    grouped with organic fibres, although they are more often considered as ceramic

    (inorganic) fibres. Inorganic fibres in general are strong, stiff, thermally stable and

    insensitive to moisture. They exhibit good fatigue resistant properties, but low energy

    absorption characteristics. Organic fibres, on the other hand, are cheaper, lighter and

    more flexible. They possess high strength and better impact resistant properties.

    26

  • 8/9/2019 Pks Composite Part1

    30/206

    Table 2.1 Typical mechanical properties of selected fibres 

    Fibre Material Density kg/m3

    Tensile

    strength MPa

    Tensile

    modulus GPa

    Diameter

    µm

    Glass 2550 3450-5000 69-84 7-14

    Boron 2200-2700 2750-3600 400 50-200

    Carbon 1500-2000 2000-5600 180-500 6-8

    Kevlar 1390 2750-3000 80-130 10-12

    Polyethelyne 970 2590 117 38

    Silica (SiO2) 2200 5800 72 35

    Boron carbide

    (B4C)

    2350 2690 425 102

    Boron nitride 1910 1380 90 6.9

    Silicon carbide

    (SiC)

    2800 4500 480 10-12

    TiB2 4480 105 510 -

    TiC 4900 1540 450 -

    Zirconium oxide 4840 2070 345 -

    Borsic(SiC/B/W) 2770 2930 470 107-145

    Alumina(Al2O3) 3150 2070 210 17

    Alumina FP 3710 1380 345 15-25

    Steel 7800 4140 210 127

    Tungsten 19300 3170 390 361

    Beryllium 1830 1300 240 127

    Molybdenum 1020 660 320 127

    Quartz whisker 2200 4135 76 9

    Fe whisker 7800 13,800 310 127

    SiC whisker 3200 21,000 840 0.5-10

    Al2O3 whisker 4000 20,700 427 0.5-10

    BeO whisker 2851 13,100 345 10-30

    27

  • 8/9/2019 Pks Composite Part1

    31/206

    Fibre Material Density kg/m3

    Tensile

    strength MPa

    Tensile

    modulus GPa

    Diameter

    µm

    B4C whisker 2519 13,790 483 -

    Si3 N4 whisker 3183 13,790 379 1-10

    Graphite whisker 2100 20,800 1000 -

    Table 2.2: Typical thermal properties of selected fibres

    Fibre Melting point0C

    Heat

    Capacity

    kJ/(kg.K)

    Thermal

    conductivity

    W/(mK)

    Coefficient of thermal

    expansion 10-6

     m/mK

    Glass 840 0.71 13 5

    Boron 2000 1.30 38 5

    Carbon 3650 0.92 1003 -1.0

    Kelvar 49 250 1.05 2.94 -4.0

    SiC 2690 1.2 16 4.3

    Steel 1575 0.5 29 13.3

    Tungsten 3400 0.1 168 4.5

    Beryllium 1280 1.9 150 11.5

    Molybdenum 2620 0.3 145 4.9

    Fe whisker 1540 0.5 29 13.3

    Al2O3 whisker 2040 0.6 24 7.7

    Quartz Whisker 1650 0.963 10 0.54

    Organic fibres as well as glass, silica, quartz and carbon fibres are commercially

    available in the form of strands, tows or yarns. A strand (or end) is a collection of

    filaments. A tow (or roving) consists of several ends or strands. A yarn is a twisted

    strand. Some twist is preferred for compactness and for making a composite with higher

    fibre content. However, an excessive twist should be avoided, as that may not permit the

    matrix to penetrate and wet all the fibres. These fibres are also used to make woven

    rovings and woven fabrics (clothes). The weave styles in the fabrics may be

    unidirectional (uniaxial), bidirectional (biaxial 2D and biaxial 3D) and multidirectional

    28

  • 8/9/2019 Pks Composite Part1

    32/206

    (multiaxial). In a uniaxial fabric wrap fibres are yarns that are laid along the roll. Fill/pick

    fibres, which constitute only a small percentage of the wrap fibres, are placed in the weft

    direction which is transverse to the roll direction. The weaving design methodology and

    weaving techniques, in most cases, adapt similar procedures that are followed in textile

    technology. A few typical weave styles are illustrated in Figs. 2.2 and 2.3. Commercial

    woven rovings are made with a simple plain weave style, whereas fabrics for carbon-

    carbon composites may adopt complex multidirectional weaving patterns. Hybrid fabrics

    may also be produced by mixing of various fibres in the warp and weft directions. Woven

    rovings and fabrics are quite often preimpregnated with resin to make prepregs that are

    convenient to use in the fabrication of composite parts.

    Glass Fibres 

    Glass was first made by man in 3000 BC in Asia Minor. Continuous glass fibres

    were known to be used for decorative purposes in ancient times in Syria and Venice. The

    industrial manufacturing of glass fibres started in 1930`s for use in filters and insulations.

    Glass fibres currently comprise more than 90% of fibres used in polymer composites.

    There are five major types of glass used to make glass fibres. These are A glass (high

    alkali), C glass (chemical), D glass (low dielectric constant), E glass (electrical) and Sglass (high strength), out of which the last two types, due to their superior mechanical

     properties, are most widely used in composite roofings, pressure vessels, containers,

    tanks, pipes, etc.

    E glass is a low alkali, aluminium borosilicate glass and is based on a mixture of

    alumina, boric acid, calcium carbonate and magnesia. S-glass is based on a mixture of

    silica, alumina and magnesia. For the manufacture of glass fibres, glass is premixed and

    formed into glass marbles or beads. The glass marbles or beads are then melt, and themolten glass is gravity fed, under a controlled temperature, through a platinum bushing

    containing a large number of very small orifices. The melt vitrifies within the bushing,

    and the filaments are simultaneously cooled and drawn rapidly to a small diameter.

    Figure 2.4 presents a schematic view of a fibre drawing process. The surfaces of drawn

    glass fibres are normally treated with appropriate sizing materials to promote adhesion

    29

  • 8/9/2019 Pks Composite Part1

    33/206

    with the resin matrix used, to facilitate weaving without causing mechanical damage to

    the fibre or to improve certain properties like, toughness and impact resistance. The

    cross-section of glass fibre is circular in nature and the diameter is usually in the range of

    7-14 µm. A glass fibre exhibits isotropic properties. Glass fibres are cheap, nonmagnetic,

    x-ray transparent, chemically inert, biocompatible, insensitive to moisture and

    temperature as well as possess high specific strength (strength to density ratio). However,

    a long duration loading under certain environmental conditions, may reduce the load

    carrying capacity of fibres by about 25%. This behaviour is known as static fatigue.

    Silica Fibres

    The silica (Si02) content of silica fibres ranges from 95 to 99.4% and is usually

    much higher compared to that of glass fibres. The glass fibres contain only 55 to 75%

    silica. The silica fibres are produced by treating glass fibres with acids so as to remove all

    impurities. A quartz fibre is a ultra-pure silica fibre. Quartz fibres are made from natural

    quartz crystals, in which the silica content is as high as 99.95%. There are a few other

    methods for producing high silica or quartz fibres. In one method, a polymer of silicon

    alkoxide is spun using a sol-gel process and subsequent heating of the fibre to 10000c

    yields a 99.999% pure quartz fibre. Silica and quartz fibres have superior thermal

     properties compared to glass fibres. They have extremely low thermal conductivities and

    thermal expansion coefficients. They can withstand extreme changes in thermal

    environments. They can be heated to a very high temperature without causing any

    damage. These properties make them ideal materials for application in highly heated

    structures such as thermal shields, nose cones, rocket nozzles, exit cones, etc.

    Boron Fibres

    Boron fibres with consistent and good mechanical properties were first

    manufactured in the 1960`s. Boron is a multiphase fibre. A boron fibre is produced by

    depositing boron on a thin substrate by a chemical vapour deposition process. Substrates,

    which are thin filaments, usually made of tungsten or carbon. The substrate (of dia.8-

      30

  • 8/9/2019 Pks Composite Part1

    34/206

    12µm) is fed in a plating chamber containing a mixture of hydrogen and boron trichloride

    and is electrically heated (Fig. 2.5). The boron is deposited in an amorphous form on the

    surface of the substrate filament due to the chemical reaction as given by

    2BCl3 + 2H2→

      2B + 6HCl

    The thickness of the deposited boron depends on the rate at which the substrate is passed

    through the plating chamber. The boron coated fibre is normally fed to successive plating

    chambers to increase the diameter of the fibre. The boron fibres are often treated

    chemically to remove surface defects, thermally to reduce residual stresses or by

     providing thin coatings (SiC, B4C or BN) to increase oxidization resistance and to make

    compatible with metal matrices.

    The boron fibre is marketed as a single filament. The boron filaments are now

    available in diameters 50µm, 100µm, 125µm,140µm and 200µm. The boron fibre with a

    tungsten substrate is costlier than that with a carbon substrate. A carbon substrate also

    reduces the density of the fibre. Boron fibres are usually impregnated with a resin to form

    tapes, as they are too stiff to weave. Boron fibres exhibit excellent stiffness properties,

     because of which they are used for stiffening of structural parts in aerospace applications.

    Their tensile strength is also quite good. The thermal properties are, however, in the

    intermediate range, although the melting point temperature is on the higher side.

    Silicon Carbide and Boron Carbide Fibres

    Like boron, there are several other multiphase fibres such as silicon carbide and

     boron carbide. Silicon carbides are also vapour deposited on tungsten or carbon

    filaments. The silicon carbide vapours are deposited when various chlorosilanes or their

    mixtures are used as reactants. A typical reaction is given as

    CH3SiCl3 →  SiC + 3HCl

    The fibres are currently made in diameters of 100µm and 140µm. Silicon carbide fibres

    in general exhibit good high temperature characteristics. They are compatible with

    several lightweight alloys e.g., aluminium, nickel and titanium alloys. Silicon carbide on

    a carbon substrate has several other merits over its counterpart (silicon carbide on a

    31

  • 8/9/2019 Pks Composite Part1

    35/206

    tungsten substrate). It is cheaper and lighter. No reaction takes place between the

    deposited silicon carbide and the carbon substrate at a high temperature. The tensile

    strength is also on the higher side. The tensile strength and tensile modulus of a SiC

    whisker is 21000 MPa and 840GPa, respectively. SiC whiskers are grown by combining

    silicon and carbon at 1200-15000C under special conditions.

    A boron carbide vapour deposited mantle on a tungsten filament substrate can be

    formed using mixture of boron trichloride and methane or carboranes. A boron carbide

    fibre can also be produced by heating carbon fibres in a chamber containing boron halide

    vapour. The melting point of a boron carbide fibre is 24500C, and the fibre retains proper

    ties at a temperature higher than 10000C.

    Alumina Fibres

    The commercial grade alumina fibre developed by Du Pont is known as alumina

    FP (polycrystalline alumina) fibre. Alumina FP fibres are compatible with both metal and

    resin matrices. These fibres possess a high melting point temperature of 20400C. They

    also withstand temperatures up to 10000C without loss of strength and stiffness

     properties. They exhibit high compressive strengths, when they are set in a matrix.

    Typical longitudinal compressive strengths of alumina FP/epoxy composites vary from2275 to 2413 MPa. Alumina whiskers exhibit the tensile strength of 20700 MPa and the

    tensile modulus of 427 GPa.

    Carbon Fibres

    Carbon fibres are also commonly known as graphite fibres, although there are

    some basic differences between the two types. Graphitization takes place at a much

    higher temperature compared to the temperature at which carbonization takes place. The

    carbon content in the graphite fibre is also higher and is usually more than 99%. The

    manufacture of carbon fibres in the laboratory scale started in the early fifties. However,

    carbon fibres were made commercially available only during mid-sixties. They are made

    after oxidizing and carbonizing the organic textile fibre precursors at high temperatures.

    32

  • 8/9/2019 Pks Composite Part1

    36/206

    There are three common types of precursors: polyacrylonitrile (PAN), rayon and

     petroleum pitch. A typical fibre fabrication process based on a precursor is shown in Fig.

    2.6. The molecular orientation already present in a precursor is formed along the fibre

    axis. Carbonization takes place at lower temperature (at about 10000C). The carbonized

    fibre is then treated at higher temperature to facilitate the graphitization process. The

    degree of graphitization can be enhanced by raising the temperature further. High-

    modulus PAN and Rayon based graphite fibres need as high as 25000C for proper

    graphitization. High strength PAN-based carbon fibres are treated at about 15000C for

    required carbonization. The carbon fibre microstructural morphology changes

    considerably with the precursor used (Fig.2.1). This also affects the fibre-matrix interface

    characteristics. The fibres in general exhibit anisotropic behaviour. The average

    diameters of commercial fibres range from 6-8µm.

    Carbon fibres are produced in a variety of tensile strengths and tensile moduli.

    They are accordingly designated as ultrahigh, very high, high or intermediate modulus

    and high strength. The tensile strength and tensile modulus of carbon fibres may be as

    high as 5600 MPa and 500 GPa, respectively. Typical properties of some high modulus

    and high strength fibres are presented in Table 2.3. Carbon fibres have many other

     positive attributes, for which they are most popular in aerospace applications. They can

    withstand extremely high temperatures without loss of much strength and stiffness. The

    thermal conductivity is high and at the same time the coefficient of thermal expansion is

    almost negligible. These thermal characteristics make them outstanding candidate

    materials for high temperature applications. Further, carbon fibres are non-magnetic, x-

    ray transparent, chemically inert, bio-compatible and insensitive to moisture to a great

    extent.

    Carbon fibres are much costlier compared to glass and other organic fibres. Their

    application is, therefore, limited to strategic structural components, expensive sport goodsand biological implants.

    33

  • 8/9/2019 Pks Composite Part1

    37/206

    Table 2.3: Typical properties of high performance carbon fibres

    Type Density

    Kg/m3

    Tensile strength

    MPa

    Tensile modulus

    GPa

    M40 1800 2740 390

    M46 1900 2350 450

    M50 1900 2450 490

    T40 1800 5650 280

    T75 1830 2620 545

    T300 1770 3240 231

    T400 1800 4500 250

    T500 1800 5600 241

    T800 1800 5600 290

    Ultra high Modulus 1800 2240-2410 690-827

    Aramid Fibres

    These are aromatic polyamide fibres. These are based on polymers formed by

    condensation of aromatic diacid derivatives with aromatic diamines. Kevlar is the trade

    mark for the commercially available aramid fibres marketed by Du Pont first in the early

    seventies. There are three types of Kevlar fibres: Kevlar, Kevlar 49 and Kevlar 29.

    Kevlar 49 and Kevlar 29 fibres posses the same strength, but Kevlar 29 has the two-third

    of the tensile modulus of Kevlar 49. Kevlar 29 is used for reinforcing rubber cordage and

     belting. Kevlar is similar to Kevlar 49, but is designed for tyre reinforcement. Kevlar 49

    fibres are commonly termed as Kevlar fibres and find extensive uses in pressure vessels,

    motor cases and other structures where strength is the major design criterion. The

    diameter of Kevlar fibres range from 8-12µm.

    Kevlar fibres, being organic in composition, are susceptible to hygral and thermal

    environments. They are easily attacked by alkalis and acids. Each fibre is fibrillar in

    nature and consists of several long, stiff fibrils (aligned along the fibre axis) embedded in

    34

  • 8/9/2019 Pks Composite Part1

    38/206

    a softer matrix. Because of this microstructural morphology (Fig.2.1), Kevlar fibres are

    very weak in compression (due to buckling of fibrils), but exhibit good impact resistance.

    They are cheaper, non-magnetic, x-ray transparent and bio-compatible and resistant to

    flame, organic solvents, fuels and lubricants.

    2.2.2 Particulates

    Particulates of various shapes and sizes are used as reinforcing particles. The

    shapes vary from a simple sphere (e.g., glass beads) to a complex polyhedron (e.g.,

    crystals). The size ranges from a few microns to several hundred microns. Particles of

    various inorganic and organic materials are employed to make particulate composites.

    However, they should be compatible with the matrix system used. Materials like talc,

    clay, mica, calcium carbonate, calcium sulphate, calcium silicate, titanium oxide, wood

    dust, sand, silica, alumina, asbestos, glass beads, metal flakes, metal powder, carbon

     powder, ceramic grains and several polymeric particles are normally used. Besides

    strengthening the composite, particles also serve other purposes. They act as additives to

    modify the creep, impact, hygral, thermal, electrical, chemical and magnetic properties as

    well as wear resistance, flammability and such other properties of the composite. They

    may as well be utilized as fillers to change the matrix content and density of the

    composite. The strength, stiffness and other properties of the composite are dependent on

    the shape, size, distribution and blends of various particles in a given matrix and also on

    the particle-matrix interface condition. Depending on the composite`s end use, the

    volume content of the reinforcement may go up to 40-50%, or more.

    Short fibres are discontinuous fibres and may also be treated as particles with

    cylindrical shapes. Flakes/platelets are also commonly used. They are less expensive than

    short fibres, and can be aligned to obtain improved in plane directional properties

    compared to those of short fibres. Metal flakes (say, aluminium) can be used to improve

    the thermal and electrical conductivity of the composite, whereas mica flakes can be

    added to the matrix to increase the resistivity.

    Solid glass microspheres, silicate-base hollow microspheres and ceramic

    aluminosilicate macrospheres are used in reinforcing polymer matrices. The particle

    diameter for solid glass microspheres ranges from 5 to 50µm, whereas for hollow

    35

  • 8/9/2019 Pks Composite Part1

    39/206

  • 8/9/2019 Pks Composite Part1

    40/206

     properties. Both thermoplastics and thermosets are employed in making reinforced

     plastics. Polyethelene, polystyrene, polyamides, nylon, polycarbonates, polysulfaones,

    etc. are common thermoplastics whereas thermosets are epoxy, phenolic, polyester,

    silicone, bismaleimide, polyimide, polybenzimidazole, etc.

    2.3.1 Thermoplastics

    Although thermosets are commonly used in structural composites due to their

    higher strength and stiffness properties, there is a growing interest in recent years to use

    thermoplastics as well. The development of several high performance thermoplastics has

     been primarily responsible for this new trend. The main advantage with thermoplastic

     polymers is that they can be repeatedly formed by heat and pressure. A thermoplast is a

    collection of high molecular weight linear or branched molecules. It softens upon heating

    at temperature above the glass transition temperature, but regains its strength upon

    cooling. The increase in temperature activates the random motion of the atoms about their

    equilibrium positions and results in breakage of secondary bonds. The thermoplast

    softens and results in breakage of secondary bonds. The thermoplast softens and flows

    when pressure is also applied. When the temperature is lowered, new secondary bonds

    are formed and the polymer reverts to its original structure. The process of softening at

    higher temperature and regaining rigidity upon cooling is thus reversible in the case of a

    thermoplastic polymer. This characteristic behaviour helps it to be recast and reused

    several times. The repair of a damaged part also becomes simpler. The scrapage rate is

    also reduced. All these make thermoplasts very much cost effective. A thermoplastic

     polymer softens, but does not decompose unless the temperature is high enough to break

    the primary covalent bonds.

    Table 2.4 provides the typical thermo-mechanical properties of a couple of

    structural grade thermoplastic resins. These high performance resins are thermally stable

    at higher temperatures. They normally achieve high glass transition temperature Tg due

    37

  • 8/9/2019 Pks Composite Part1

    41/206

    Table 2.4 Typical properties of some high performance thermoplastics 

    Properties Polyether

    ether

    ketones

    (PEEK)

    Polyamide-

    imide

    Polyether-

    imide

    Polysulfone Polypheny

    lene

    sulfide

    Density, kg/m3

    1300 1400 1270 1240 1340

    Tensile strength,

    MPa

    104 138 115 70 76

    Tensile modulus,

    GPa

    4.21 4.48 3.38 2.48 3.31

    Poisson’s ratio 0.35 0.35 0.35 0.35 0.35

    Coefficient ofthermal expansion,

    10-6

    m/m K

    - 56 50 86.40 88

    Maximum service

    temperature, K

    630 - 490 490 565

    to their relatively stiff, linear chains and high molecular weight. They are also strong and

    stiff and exhibit good creep resistant properties. They are relatively tougher and less

    sensitve to moisture. The structures of these resins are illustrated in Fig. 2.7. All resins

    are found to contain a high proportion of aromatic rings that are linked by a stable

    heteroatom or group (-CO-, SO2-, -O-, etc.). This provides a high degree of chain rigidity

    and thereby results in a higher Tg. In addition, the low aliphatic hydrogen (C-H) content

    enhances the thermal stability of all these resins at high temperatures. PEEK and

     polyphenylene sulfide are essentially crystalline polymers, and other resins shown in

    Table 2.4 are amorphous. PEEK has received considerable attention since its inception.

    The rigid rings, connected by fairly chemically inert groups (-o- and –c-) make PEEK

    highly crystalline. The melting point and chemical resistance of PEEK are also

    considerably enhanced. PEEK has a Tg of 1430C and a melting point of 332

    0C. It is

    soluble only in concentrated sulphuric acid. The processing temperature ranges 300-400

    0C. The moisture absorption limit is very low. The fracture toughness is

    comparatively higher. All these features of PEEK make it a highly attractive

    thermoplastic resin for application in reinforced composites. Graphite/PEEK composite

     prepregs are commercially available. Polysulfones reinforced with glass, aramid and

    carbon fibres have also found several applications.

    38

  • 8/9/2019 Pks Composite Part1

    42/206

    2.3.2 Thermosets

    Thermoset polymers are formed from relatively low molecular weight precursor

    molecules. The polymerization process in a thermoset resin is irreversible. Once cured,

    they do not soften upon heating. They, however, decompose before softening uponfurther heating. Cross-linked and interlinked reactions lead to formation of chain

    molecules in two and three-dimension arrays. Because of three dimensional network of

    covalent bonds and cross links, thermosetting resins are listed in Table 2.5. At high

    temperature, the covalent bonds may break leading to destruction of the network structure

    and the polymer decomposes. Thermosetting resins vary widely with Tg values varying

    from 45-3000C and elongations ranging from 1% to more than 100%.

    Table 2.5 Typical properties of some thermosetting resins

    Properties Epoxies Polyesters Phenolics Polyimides

    Density, kg/m3

    1100-1400 1200 1200-1300 1400

    Tensile strength, MPa 35-100 50-60 50-60 100-130

    Tensile modulus, GPa 1.5-3.5 2-3 5-11 3-4

    Poisson’s ratio 0.35 0.35 0.35 0.35

    Coefficient of thermalexpansion, 10

    -6m/mK 50-70 40-60 40-80 30-40

    Service temperature, K 300-370 330-350 440-470 550-750

    The most commonly used thermosets are epoxy, polyester and phenolic resins, among

    which polyster resins are most widely used in various common engineering goods and

    composite applications. However, epoxy resins constitute the major group of thermoset

    resins used in composite structures and adhesives, as they are stronger and stiffer.

    Phenolic resins are rich in carbon and possess good thermal properties and are normally

    used in high temperature applications especially as an ablative material in thermal

     protection systems. Silicone, bismaleimide, polyimide, polybenzimidazol, etc. are in fact,

    high temperature polymers that can perform at higher temperature ranging from 200-

    4500C. The structures of some thermosetting resins are illustrated in Fig. 2.8.

    39

  • 8/9/2019 Pks Composite Part1

    43/206

      Epoxy resins in general possess good thermomechanical, electrical and chemical

    resistant properties. They are so called, because they contain two or more epoxide groups

    in the polymer before cross-linking. This epoxide group is a three membered cyclic ether

    O

    C C which reacts with several reagents. It is commonly found in glycidyl

    ethers and amines which are the major sources for epoxies in composite applications.

    The common epoxy is synthesized by condensing epichlorohydrin with bisphenol A in

    the presence of sodium hydroxide. Several other hydroxyl-containing compounds can

    replace bisphenol A. A wide variety or special purpose resins can thus be prepared.

    Some aerospace grade epoxy systems are based on an aromatic amine (glycidyl

    amines) instead of a phenol to increase the epoxy functionality leading to high cross-

    link density in the cured resin. Epoxy resins are cured using suitable curing agents or

    appropriate catalysts. The major curing agents are aliphatic amines, aromatic

     polyamines and polyanhydrides. Curing is the processs of reaction (ionic reaction,

    usually polyadditions) between the epoxide and the curing agent in which many

    epoxide groups are formed. Aliphatic amines are relatively strong bases and therefore

    react with aromatic amines to achieve cure at room temperature. The reaction is highly

    exothermic, and the pot life is shorter. This epoxy resin is useful for contact moulding,

     but not for prepregging and filament winding. Aromatic polyamines are normally

    solids and require high temperature (100-1500C) for mixing and curing. Anhydrides

    need higher thermal exposure (150-2000C) for a longer duration (8-16 hours) for

     proper curing. The reaction is low exothermic, but the pot life is longer. Both

     polyamines and anhydrides are suitable for prepreg manufacturing and filament

    winding. These epoxy resins are characterized by comparatively high thermal stability

    and chemical resistance. Catalysts can also be used along with curing agents to

    accelerate the curing process. Catalytic agents that are often used as curing agents to promote homopolymerisation of epoxide groups may be Lewis acids or bases. The

    commonly used catalytic curing agent is boron trifluoride blocked with ethyl amine (a

    typical Lewis acid). It is also used as a catalyst with aromatic amines to accelerate

    curing at a temperature of 150-2000C. Lewis bases are normally used as accelerators

    with anahydrides. Both Lewis acids and bases provide long pot lives.

    40

  • 8/9/2019 Pks Composite Part1

    44/206

      A polyester resin is comprised of an unsaturated backbone polymer dissolved in a

    reactive monomer. The polyester backbone polymer is formed by condensation of a

    mixture of diabasic acids (saturated and unsaturated) and one or more glycols. The

    components of the most commonly used polyester resin is phthalic anhydride (saturated

    acid), maleic anhydride (unsaturated acid) and propylene glycol. The backbone polymer

    is then diluted in styrene monomer (about 35% by weight). The solution is then blended

    with an inhibitor such as hydroquinone to prevent premature polymeisation. The process

    of curing is initiated by adding a source of free radicals (e.g., benzoyl peroxide or

    hydroperoxide and catalysts (e.g., organic peroxides such as cobalt naphthenate or alkyl

    mercaptans). Curing takes place in two stages: a soft gel is first formed and this is

    followed by a rapid polymerization with generation of heat. A higher proportion of

    unsaturated acid in the backbone polymer yields a more reactive resin, while with a

    higher quantity of saturated acid the reaction becomes less exothermic. During curing, the

    styrene monomer reacts with the unsaturated sites of the backbone polymer to form a

    three-dimensional cross-linked network. A small amount of wax is often added to the

    solution before curing to facilitate proper curing of the surface of a laminate. Wax, during

    curing, exudes to the surface to form a thin protective layer that reduces loss of styrene

    from the surface and prevents oxygen which inhibits reaction to come in contact with the

    radicals. Several types of polyester resins are commercially available. Vinyl-ester resins

    are high performance polyester resins, which are acrylic esters of epoxy resins dissolved

    in styrene monomer. Polyester resins can be reinforced with almost all types of

    reinforcements to make polyester composites. Polyester resins are cheaper and more

    versatile, but inferior to epoxy resins in some respects. Their use in advanced structural

    composites is therefore limited. However, they have been widely used in boat hulls, civil

    engineering structures, automobile industries and various engineering products and

    appliances.

    The commonly used phenolic (phenol-formaldehyde) resins are divided into two

    groups: resoles and novolacs. Resoles are one-stage resins which are synthesized with

    formaldehyde/phenol ratio greater than one (1.25:1) in presence of an alkaline catalyst.

    The polymerization process is not fully completed. It is stopped by cooling to obtain a

    reactive and soluble polymer which is stored at low temperature. The final

    41

  • 8/9/2019 Pks Composite Part1

    45/206

  • 8/9/2019 Pks Composite Part1

    46/206

  • 8/9/2019 Pks Composite Part1

    47/206

    2.4 METALS AND METAL MATRIX COMPOSITES

    Polymer composites are used normally up to 1800C, but rarely beyond 350

    0C. The

    high temperature capabilities of inorganic reinforcements cannot be realized, when

     polymers are employed as matrix materials. Metal matrices, on the other hand, can widenthe scope of using composites over a wide range of temperatures. Besides, metal matrix

    composites allow tailoring of several useful properties that are not achievable in

    conventional metallic alloys. High specific strength and stiffness, low thermal expansion,

    good thermal stability and improved wear resistance are some of the positive features of

    metal matrix composites. The metal composites also provide better transverse properties

    and higher toughness compared to polymer composites.

    Table 2.7 provides the list of some metal matrices and associated reinforcing

    materials. The reinforcements can be in the form of either particulates, or short fibres or

    continuous fibres. Cermets constitute an important group of metal matrix composites in

    which ceramic grains of sizes greater than 1 µm are dispersed in the refractory metal

    matrix. A typical example is the titanium carbide cermet which comprises of 70% TiC

     particles and 30% nickel matrix and exhibits high specific strength and stiffness at very

    high temperatures. The thermo-mechanical properties of some common matrices are

     presented in Table 2.8. The aluminium matrices include several alloys such as AA 1100,

    AA 2014, AA6061, AA 7075, AA5052, etc. The composites with aluminium matrices are

    relatively lightweight, but their applications are limited to the lower temperature range

    Table 2.7: Metal matrices and reinforcements

    Matrix Reinforcements

    Aluminium and alloys C, Be, SiO2, B, SiC, Al2O3, Steel,

    B4C, Al3 Ni, Mo, W, Zr O2

    Titanium and alloys B, SiC, Mo, SiO2, Be,ZrO2

     Nickel and alloys C, Be, Al2O3,SiC, Si3 N4, steel, W,Mo, B

    Magnesium alloys C, B, glass, Al2O3 

    Molebdenum and alloys B, ZrO2

    Iron and Steel Fe, Steel, B, Al2O3, W, SiO2,ZrO2

    Copper and alloys C,B, Al2O3, E-glass

    44

  • 8/9/2019 Pks Composite Part1

    48/206

     

    Table 2.8: Typical thermomechanical properties of some metal matrices

    Matrices Density

    kg/m

    3Tensile

    strengthMPa

    Tensile

    modulusGPa

    Coefficient

    thermalexpansion

    10-6

    m/mk

    Thermal

    conduct--vity

    W/(mk)

    Heat

    capa--city

    KJ/

    (kg.k)

    Melting

     point0C

    AA6061 2800 310 70 23.4 171 0.96 590

     Nickel 8900 760 210 13.3 62 0.46 1440

    Ti-6AL-4V 4400 1170 110 9.5 7 0.59 1650

    Magnesium 1700 280 40 26 100 1.00 570

    Steel 7800 2070 206 13.3 29 0.46 1460

    Copper 8900 340 120 17.6 391 0.38 1080

     because of its low melting point. Titanium and nickel can be used at a service

    temperature of up to 1000-11000C. There are several systems such as engine components

    which are exposed to high level of temperature. Titanium and nickel composites are ideal

    for such situations, as they retain useful properties at 1000-11000C. Ti-6AL-4V is the

    commonly used titanium matrix material. The other alloys of titanium include A-40Ti, A-

    70Ti, etc. Nickel matrices are comprised of a series of Ni-Cr-W-Al-Ti alloys. Super

    alloys, NiCrAlY and FeCrAlY, are also used as matrices because of their high oxidation

    resistance properties. Molybdenum is a high temperature matrix and fibre material. Iron

    and steel matrices are cheaper and can be used at high temperatures, if the weight is not

    the major concern. Figure 2.9 exhibits a fractograph of the Al2O3  fibre reinforced Mg

    alloy ZM21 composite. A scanning electron micrograph of the Al2O3 fibre reinforced AA

    2014 composite is shown in Fig. 2.10.

    The high temperature applications of metal matrix composites are listed in Table

    2.9. The material cost is the major problem that currently limits their uses, otherwise

    45

  • 8/9/2019 Pks Composite Part1

    49/206

    most of the metallic structural parts can be replaced with metal matrix composite parts to

    gain advantages.

    Fig.2.9

    Fig.2.10

    Table 2.9: High temperature application of composites

    Composites Applications

    MMCs Aeroengine Blades, Combustion Chamber, Thrust

    Chamber, Nozzle Throat, Exit Nozzle, Engine

    Valves, Fins.

    CMCs Re-entry Thermal Shields and Tiles, Nozzle Throat,

     Nozzle Linings, Pump Seal Rings, Break Linings,

    Extrusion Dies, Valves, Turbochargers, Turbine

    Blades, Cutting Tools

    Carbon-Carbon Nose Cones of Re-entry Vehicles, Combustion and

    Thrust Chambers, Nozzle Throats, Exit Nozzles,

    Leading Edges of Re-entry Structures, Brake Discs.

    2.5 CERAMIC MATRIX COMPOSITES

    Ceramic provide strength at high temperature well above 15000C and have

    considerable oxidation resistance. They possess several desirable attributes like high

    elastic modulus, high Peierl`s yield stress, low thermal expansion, low thermal

    conductivity, high melting point, good chemical and weather resistance as well as

    excellent electromagnetic transparency. However, the major drawback of ceramics is that

    they exhibit limited plasticity. This low strain capability of ceramics is of major concern,

    46

  • 8/9/2019 Pks Composite Part1

    50/206

    as it, quite often, leads to catastrophic failure. For this reason ceramics are not considered

    as dependable structural materials. But such limitations may not exist with ceramic

    matrix composites, as suitable reinforcements may help them to achieve desirable

    mechanical properties including toughness. The ceramic matrices are usually glass, glass

    ceramics (lithium aluminosilicates), carbides (SiC), nitrides (SiN4, BN), oxides (Al2O3,

    Zr 2O3, Cr 2O3, Y2O3, CaO, ThO2) and borides (ZrB2, TiB2). The reinforcements which are

    normally high temperature inorganic materials including ceramics, may be in the form of

     particles, flakes, whiskers and fibres. The commonly used fibres are carbon, silicon

    carbide, silica and alumina. The current resurgence in the research and development of

    ceramic matrix composites is due to their resistance to wear, creep, low and high cycle

    fatigue, corrosion and impact combined with high specific strength at high temperatures.

    The cutting rate of an alumina-SiC whisker cutting tool is ten times higher than that of

    conventional tools. The use of ceramic composites in aero-engine and automotive engine

    components can reduce the weight and thereby enhance the engine performance with

    higher thrust to weight ratios due to high specific strength at high temperatures.

    Automotive engines exhibit greater efficiency because of their low weight, better

     performance at high operating temperatures and longer life time due to excellent

    resistance to heat and wear. Several high temperature applications of ceramic matrix

    composites are presented in Table 2.9.

    Carbon-carbon composites are the most important class of ceramic matrix

    composites that can withstand temperatures as high as 30000C. They consist of carbon

    fibres distributed in a carbon matrix. They are prepared by pyrolysis of polymer

    impregnated carbon fibre fabrics and preforms under pressure or by chemical vapour

    deposition of carbon or graphite. The polymers used are of three types: thermosets

    (furfurals, phenolics), thermoplastic pitches (coal tar based and petroleum based) and

    carbon-rich vapours (hydrocarbons such as methane, propane, acetylene, benzene).

    Phenolic resins are more commonly used in the manufacturing process of carbon-carbon

    composites. The phenolic resin impregnated carbon fibre preforms, on pyrolysis, converts

    the phenolic resin to a high proportion of amorphous carbon char. The composite material

    is found to be porous after the first pyrolysis. It is further impregnated with the phenolic

    resin and pyrolised, usually under vacuum and pressure, and the process is repeated

    47

  • 8/9/2019 Pks Composite Part1

    51/206

    several times to reduce the void content and realize the optimum density of the material.

    The major advantage of carbon-carbon composite is that various fabrics and shapes of

     preforms with multidirectional fibre alignments can be impregnated with resins and

     pyrolised to yield a wide class of one directional (1D), two directional (2D), three

    directional (3D) and multidirectional composite blocks of various shapes and sizes, which

    can be machined to produce the desired dimensions. Excellent wear resistance, higher

    coefficient of friction with the rise of temperature, high thermal conductivity, low thermal

    expansivity and high temperature resistance make them useful materials in high

    temperature applications. In absence of oxygen, carbon-carbon composites can withstand

    very high temperatures (30000C or more) for prolonged periods. They are also used in

     prosthetics due to excellent biocompatibility.

    2.6 LAMINATE DESIGNATION

    The structural applications of composites are mostly in the form of laminates.

    Laminates provide the inherent flexibility that a designer exploits to choose the right

    combination of materials and directional properties for an optimum design. A lamina is

    the basic building block in a laminate. A lamina may be made from a single material

    (metal, polymer or ceramic) or from a composite material. A composite lamina, in which

    all filaments are aligned along one direction parallel to each other, is called a

    unidirectional lamina. Some unidirectional laminae are illustrated in Fig. 2.11. Here the

    fibres (continuous) are oriented along a direction parallel to the x1 axis. Note that the x1',

    x2' axes are the material axes, and the x1, x2 axes are the reference axes. The orientation of

    the fibre with respect to the reference axis (i.e., x1 axis) is known as the fibre angle and is

    denoted by Ø (in degrees). A unidirectional lamina is designated with respect to the fibre

    angle Ø. For example, a 00  lamina corresponds to Ø=0

    0, a 90

    0  lamina corresponds to

    Ø=900 and so on.

    Fig. 2.11

    A laminate is designated by the manner laminae are stacked to form the laminate.

    For example, a (00/±45

    0/90

    0) laminate (Fig. 2.12) is one in which one 0

    0 lamina is placed

    at the top, one 900  lamina is placed at the bottom and one +45

    0  lamina and one -45

    0

    48

  • 8/9/2019 Pks Composite Part1

    52/206

    lamina are kept at the middle. Unless it is specified, it is normally assumed that all the

    laminae in a laminate possess the same thickness. A cross-ply laminate consists of only

    00 and 90

    0 laminae. An angle-ply laminate, on the other hand, contains only ±Ø laminae.

    A laminate may be considered symmetric, antisymmetric or unsymmetric, in case there

    exists, with respect to the middle surface, any symmetry, antisymmetry or unsymmetry,

    respectively. Figures 2.13 and 2.14 illustrate several cross-ply and angle-ply laminates. It

    should be further noted that a [ (00/90

    0)n ] laminate is an antisymmetric cross-ply laminate

    consisting of n numbers of repeating two-layered (00/90

    0) cross-ply laminates. The total

    number of laminae in a [ (00/90

    0)n ] laminate is 2n. However, a [ (0

    0/90

    0)ns ] laminate is a

    symmetric cross-ply laminate. It has symmetry about the midsurface of the laminate. The

    top half of the laminate contains n number of repeating of repeating two-layered (00/90

    0)

    cross-ply laminates. The bottom half consists of n number of two-layered (900/00) cross-

     ply laminates so that the symmetry about the mid-surface is maintained. Note that the

    subscript `s` stands for symmetry and the number of laminae in a [ (00/90

    0)ns] laminate is

    4n. The laminates containing repeating (±Ø) angle-plies can also be identified in a similar

    way.

    A general unsymmetric laminate may contain 00  laminae, 90

    0  laminae and/or Ø

    laminae stacked in an arbitrary manner. For example, [ (00)4 / (90

    0)2], [(90

    0)2/ (30

    0)2] and

    [00

    /900

    /300

    /600

    ] are all general unsymmetric laminates. An unsymmetry may also be

    introduced by stacking laminae made of different composites. A [00c/90

    0g /0

    0k] laminate

    consists of a top layer of 00

    carbon fibre reinforced composite, a middle layer of 900

    glass

    fibre reinforced composite and bottom layer of 00

    Kevlar fibre reinforced composite and

    is an unsymmetric cross-ply hybrid laminate. Various such hybrid laminates can be

     prepared for practical applications choosing various combinations of layers of metallic

    materials, polymer composites, metal-matrix composites and ceramic composites. The

    “ARALL” is a hybrid laminate consisting of alternate layers of aramid/epoxy co