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    Dual Degree Thes

    Department of Mechanical Engineering

    is

    Title:Composite Testing

    Name:Purushottam Meena

    Roll Number:07D10028

    Guide:Prof. Anirban Guha

    Co-Guide: Prof. Ramesh Singh

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    Declaration Form

    I Purushottam Meena Roll No. 07d10028 understand that plagiarism is defined as any one or

    the combination of the following:

    1. Uncredited verbatim copying of individual sentences, paragraphs or illustrations (such as

    graphs, diagrams, etc.) from any source, published or unpublished, including the internet.

    2. Uncredited improper paraphrasing of pages or paragraphs (changing a few words or

    phrases, or rearranging the original sentence order)

    3. Credited verbatim copying of a major portion of a paper (or thesis chapter) without clear

    delineation of who did or wrote what. (Source: IEEE, The Institute, Dec. 2004)

    I have made sure that all the ideas, expressions, graphs, diagrams, etc., that are not a

    result of my work, are properly credited. Long phrases or sentences that had to be used

    verbatim from published literature have been clearly identified using quotation marks. I

    affirm that no portion of my work can be considered as plagiarism and I take full

    responsibility if such a complaint occurs. I understand fully well that the guide of the project

    report may not be in a position to check for the possibility of such incidences of plagiarism in

    this body of work.

    Signature:

    Name: Purushottam Meena

    Roll No.: 07D10028

    Date:

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    Acknowledgements

    I would like to express my sincere gratitude towards my project guide Prof. Anirban Guha

    and Co-guide Prof. Ramesh Singh for invaluable support and guidance throughout my stage 1

    of Dual Degree Project.

    I would like to thank Mr. Ganesh Soni(PhD Student-IITB-Monash) for his support and

    valuable suggestions.

    Purushottam Meena

    (Roll no. 07d10028)

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    Abstract

    Fiber-reinforced composite structures have seen an increased application in aeronautics and

    in other industries such as automotive, marine transportation, civil engineering, sporting

    goods, medical equipment and prosthetic devices. With the increased use of composite

    materials, there is a need to develop methods to predict the material properties and behavior

    of composite materials and structures made of these materials under a variety of loading and

    environmental conditions.

    In this report chapter 1 incorporates introductory part of composite which includes properties

    of composites, classification and application. Detailed study of CFRP is done. In chapter 2,

    types of mechanical tests for composite are studied. Later literature review of tensile,compression, buckling and in-plane shear test has been carried out. In last chapter work done

    and future proposed specimen manufacturing and experimental work is described.

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    Content

    Chapter 1. Introduction: composites.8

    1.1 classifications of composites..8

    1.1.1. Particle reinforced composites..8

    1.1.2. Fiber reinforced composites..9

    1.1.3. Structural composites9

    1.2. Properties of composites..10

    1.3. Application of composites...11

    1.4. Fibre-reinforced plastic (FRP) ....13

    1.4.1. CFRP (Carbon fiber reinforced polymer)14

    1.5. Testing requirements in composites

    1.6. Problem statement/specific objectives

    1.7. Outline of report

    Chapter 2: Mechanical testing of Composites and literature review..16

    2.1. Mechanical testing of composites...16

    2.1.1. Properties to be evaluated in testing16

    2.2. Testing and literature review...17

    2.2.1. Tensile testing..17

    2.2.2. Literature review on tensile test..18

    2.3. Compressive test..23

    2.3.1. Types of Compression tests for Composites23

    2.3.2. Literature review on compression test.26

    2.3.3. Literature review on Buckling.33

    2.4. In plane shear ..35

    2.4.1. Shear Tests...35

    2.4.2. Literature review for in-plane shear test.38

    Chapter 3: Work done and Future work...42

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    3.1. Work done...42

    3.2.Future work..44

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    List of figures

    Figure:1.1 Classification of Composites 8

    Figure:1.2 Types of composites 9

    Figure:1.3 properties a) isotropic b)orthotropic c)anisotropic 11

    Figure:1.4 Use of composite in military aircraft 12

    Figure:1.5 Engine component made of composites 14

    Figure:1.6 Use of Composites in sports 14

    Figure:1.7 a) Basic structure Laminae b) Unbounded view of laminate construction 15

    Figure:2.1 CFRP Specimen Shape 18

    Figure:2.2 Schematic illustrations of laminates with various lay-up sequences 19

    Figure:2.3 Configurations of (a) unnotched tensile, (b) notched tensile 19

    Figure:2.4 a) Unnotched tensile fracture stress. b) Notched tensile fracture stress for

    laminates

    20

    Figure:2.5 Coupons for testing the properties of CFRP 20

    Figure:2.6 a) Stress-strain curves of CFRP b) The effect of strain rate on the tensile stress of

    CFRP

    21

    Figure:2.7 a) Effect of strain rate on the modulus of elasticity of CFRP b) Effect of strain

    rate on the strain to failure of CFRP

    22

    Figure:2.8 a) Experimental and predicted load-displacement curves b) Damage initiation

    time of damaged laminae and interfaces

    23

    Figure:2.9 Progression of damage initiation in L1 23

    Figure:2.10 Interface damage initiation and propagation in I1 24

    Figure:2.11 a)Celanese test fixture b)Modified grips for IITRI

    c)Northrop compression test specimen and fixture)

    d)NBS compression test specimen and Fixture

    26

    Figure:2.12 a) SWRI compression test fixture b) Lockheed compression test fixture 26

    Figure:2.13 a) Sandwich beam edgewise test configuration b) Four-point bend sandwich 27Figure:2.14 a) Longitudinal compression sandwich beam test specimen b) Stress distribution

    in the thickness-wise direction

    28

    Figure:2.15 a) Four-point flexural test apparatus of sandwich specimen b) stressstrain curves

    of compression test

    29

    Figure:2.16 (a) ICSTM compression test fixture and (b) clamping blocks specimen. 32

    Figure:2.17 (a)Post-failure mode of unidirectional specimens b) loaddisplacement curve 33

    Figure:2.18 Typical stressstrain curves of the unidirectional specimens 33

    Figure:2.19 a) Sub laminate-level([45/90/-45/0]ns) b) Ply-level scaled ([45n/90n/-45n/0n]s) 34

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    Figure:2.20 a) Plate geometry with parametric dimensions b) Top and bottom supports 35

    Figure:2.21 a) Comparison critical buckling loads of unperforated composite plates.

    b) Comparison of critical buckling ratio for various U-shaped cutouts

    35

    Figure:2.22 a) Two-rail shear apparatus and specimen.

    b) Three-rail shear apparatus and specimen

    c)Specimen geometry for two- and three-rail shear

    36

    Figure:2.23 a) Off-axis test specimen

    b) Effects of end constraints on off-axis tensile specimens

    37

    Figure:2.24 a)Schematic of Iosipescu test fixture and specimen

    b)Specimen configurations for determination of shear properties from the

    Iosipescu test procedure

    38

    Figure:2.25 a) Specimen configuration of the off-axis tensile test.

    b) Specimen configuration of the off-axis flexure test

    40

    Figure:2.26 Points of maximum normal and shear stresses in off-axis tensile specimen 40

    Figure:2.27 off-axis tensile stresses as a function of the fiber orientation angle at failure load 41

    Figure:2.28 Geometric loci of maximum normal and shear stresses 42

    Figure:2.29 Experimental values of off-axis flexure stresses 42

    Figure:3.1 machine design for testing 44

    Figure:3.2 Specimen with different -2 cutouts 46

    Figure:3.3 Specimen with varying angle of fibers 46

    Figure:3.4 Specimen combining with different-2 angle of prepregs 47

    Figure:3.5 Specimen with load axial and tranverse direction 47

    Figure:3.6 Flow chart for implementation of the proposed proje 51

    Figure 3.7 Timelines for proposed project 51

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    CHAPTER 1

    Introduction:

    1. Composites Composites are combinations of two materials in which one of the

    materials, called the reinforcing phase, is in the form of fibers, sheets, or particles, and is

    embedded in the other materials called the matrix phase. The reinforcing material and the

    matrix material can be metal, ceramic, or polymer. Typically, reinforcing materials are strong

    with low densities while the matrix is usually a ductile, or tough, material. Examples of some

    current application of composites include the diesel piston, brake-shoes, pads aircraft etc.

    1.1 Classification of Composites On the basis of reinforced we can divided

    composites in three parts which is shown in Figure 1.1.

    Fig.1.1: Classification of Composites

    1.1.1. Particle Reinforced Composites- These are the cheapest and most widely used. They

    can be divided in two categories depending on the size of the particles: large-particle

    composites, which act by restraining the movement of the matrix, if well bonded.

    Dispersion-strengthened composites contain 10-100 nm particles. The matrix bears the

    major portion of the applied load and the small particles hinder dislocation motion, limiting

    plastic deformation. Particulate phase is harder and stiffer than the matrix. Examples:

    Concrete (Matrix : Cement, Particulates : sand and gravel) Cermets- Hard Carbide Ceramic

    embedded in Metal Matrix, used as cutting tools for hardened steel (Matrix : Cobalt,

    Composites

    Particle-reinforced

    Large particleDispersion-

    strengthened

    Fiber-reinforced

    Continuous

    (aligned)

    Discontinuous

    (short)

    AlignedRandomlyoriented

    Structural

    Laminatedsandwich

    panels

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    Particulates : Tungsten Carbide), TDNi (Thoria dispersed Nickel), SAP (Sintered Al.

    powder)

    Fig1.2:Types of composites a) Particle Reinforced Composite b ) Fiber Reinforced composites c) Structural

    Composites [13]

    1.1.2. Fiber Reinforced Composites: A fiber-reinforced composite (FRC) consists of three

    components: (i) the fibers as the discontinuous or dispersed phase, (ii) the matrix as the

    continuous phase, and (iii) the fine inter phase region, also known as the interface.

    Reinforcing fibers can be made of metals, ceramics, glasses, or polymers that have been

    turned into graphite and known as carbon fibers. Fibers increase the modulus of the matrix

    material.

    1.1.3. Structural Composites: Common structural composite types are two types:

    1.1.3.1 Laminar: It Is composed of two-dimensional sheets or panels that have a

    preferred high strength direction such as is found in wood and continuous and aligned fiber-

    (a) (b)

    (c)

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    reinforced plastics. The layers are stacked and cemented together such that the orientation of

    the high-strength direction varies with each successive layer. Example: Ski and plywood.

    1.1.3.2. Sandwich Panels: They consist of two strong outer sheets which are called face

    sheets and may be made of aluminum alloys, fiber reinforced plastics, titanium alloys, steel.

    Face sheets carry most of the loading and stresses. Core may be a honeycomb structure which

    has less density than the face sheets and resists perpendicular stresses and provides shear

    rigidity. Sandwich panels can be used in variety of applications which include roofs, floors,

    walls of buildings and in aircraft, for wings, fuselage and tail plane skins.

    1.2. Properties of composites

    Composite materials have many mechanical behavior characteristics that are different from

    normal engineering materials. Some characteristics are merely modifications of conventional

    behavior; others are totally new and require new analytical and experimental procedure

    procedures. Composite material is often both inhomogeneous (or non homogeneous or

    heterogeneous and nonisotropic (orthotropic or anisotropic):

    Aninhomogeneousbody has nonuniform properties over the body, i.e., the properties

    depend on position in the body. The orthotropic body has material properties that are

    different in three mutually perpendicular planes of material property symmetry. Thus, the

    properties depend on orientation of a point in the body. An anisotropicbody has material

    properties that are different in all direction at a point in the body. No depends on material

    property symmetry exist. Again, the properties depends on orientation at a point of body .

    Fig 1.3: a)isotropic b)orthotropic c)anisotropic[29]

    Because of the different properties from normal materials of composites materials,

    they are conveniently studied from two points of view: micromechanics and macromechanics:

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    Micromechanics is the study of composite material behavior wherein interaction of

    the constituent materials is examined on a microscopic scale to determine their effects on the

    properties of the composite material.

    Macro mechanicsis the study of composite material behavior wherein the material is

    presumed homogeneous and the effects of the constituent materials are detected only as

    averaged apparent macroscopic properties of the composites material.

    1.3. Application of composites: There are many reasons for the growth in

    composite applications, but the primary impetus is that the products fabricated by composites

    are stronger and lighter. Today, it is difficult to find any industry that does not utilize the

    benefits of composite materials. The largest user of composite materials today is the

    transportation industry. The composites application can be divided into the following industry

    categories: aerospace, automotive, construction, marine, corrosion resistant equipment,

    consumer products, appliance/business equipment, and others.

    1.3.1. Aerospace Industry- The aerospace industry was among the first to use the benefits of

    composite materials. Airplanes, rockets, and missiles all fly higher, faster, and farther with

    the help of composites. Glass, carbon, and Kevlar fiber composites have been routinely

    designed and manufactured for aerospace parts. The aerospace industry primarily uses carbon

    fiber composites because of their high-performance characteristics. The composite

    components used in fighter planes are horizontal and vertical stabilizers, wing skins, fin

    boxes, flaps, and various other structural components. The use of composite materials are

    used in spacecraft applications to include weight savings as well as dimensional stability.

    1.3.2. Automotive Industry - Composite materials are used in some applications of theautomotive industry to deliver high-quality surface finish, styling details, and processing

    options. Composite body panels have a successful track record in all categories from

    exotic sports cars to passenger cars to small, medium, and heavy truck. Because the

    automotive market is very cost-sensitive, carbon fiber composites are not yet accepted due to

    their higher material costs. Automotive composites utilize glass fibers as main

    reinforcements.

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    Fig.1.4:Use of composite in military aircraft[18]

    Fig: 1.5: Engine component made of composites [18]

    1.3.3. Sporting Goods Industry -Sports and recreation equipment suppliers are becoming

    major users of composite materials. The growth in structural composite usage has been

    greatest in high-performance sporting goods and racing boats. We can see products such as

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    golf shafts, tennis rackets, snow skis, fishing rods, etc. made of composite materials. These

    products are light in weight and provide higher performance, which helps the user in easy

    handling and increased comfort.

    Fig.1.6: Use of Composites in sports [15]

    1.3.4. Marine Applications - Composite materials are used in a variety of marine

    applications such as passenger ferries, power boats, buoys, etc. because of their corrosion

    resistance and light weight, which gets translated into fuel efficiency, higher cruising speed,

    and portability. The majority of components are made of glass-reinforced plastics (GRP) with

    foam and honeycomb as core materials.

    1.3.5. Construction and Civil Structures- The construction and civil structure industries are

    the second major users of composite materials. The driving force for the use of glass- and

    carbon-reinforced plastics for bridge applications is reduced installation, handling, repair, and

    life-cycle costs as well as improved corrosion and durability. It also saves a significant

    amount of time for repair and installation and thus minimizes the blockage of traffic.

    1.3.6. Industrial Applications - The use of composite materials in various industrial

    applications is growing. Composites are being used in making industrial rollers and shafts for

    the printing industry and industrial drive shafts for cooling-tower applications. Filamentwinding shows good potential for the above applications. Injection molded, short fiber

    composites are used in bushings, pump and roller bearings, and pistons. Composites are also

    used for making robot arms and provide improved stiffness, damping, and response time.

    1.4. Fibre-reinforced plastic (FRP)

    It is a composite material made of a polymer matrix reinforced with fibers. The fibers

    are usually fiberglass, carbon, or aramid, while the polymer is usually an epoxy, vinylester or

    polyester thermosetting plastic. FRPs are commonly used in the aerospace, automotive,

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    marine, and construction industries. A polymer is generally manufactured by

    polycondensation, polymerization or polyaddition. Fibre reinforced plastics are a category of

    composite plastics that specifically use fibrous materials to mechanically enhance the

    strength and elasticity of plastics. The original plastic material without fibre reinforcement is

    known as the matrix. The matrix is a tough but relatively weak plastic that is reinforced by

    stronger stiffer reinforcing filaments or fibers. The extent that strength and elasticity are

    enhanced in a fibre reinforced plastic depends on the mechanical properties of the fibre and

    matrix, their volume relative to one another, and the fibre length and orientation within the

    matrix.

    1.4.1. CFRP (Carbon fiber reinforced polymer)

    It is a very strong and light fiber-reinforced polymer which contains carbon fibers.

    The polymer is most often epoxy, but other polymers, such as polyester, vinyl ester or nylon,

    are sometimes used. Although it can be relatively expensive, it has many applications in

    aerospace and automotive fields, as well as in sailboats, and notably finds use in modern

    bicycles and motorcycles, where its high strength-to-weight ratio and good rigidity is of

    importance. Improved manufacturing techniques are reducing the costs and time to

    manufacture, making it increasingly common in small consumer goods as well, such as

    laptops, tripods, fishing rods, paintball equipment, archery equipment, racquet frames,

    stringed instrument bodies, drum shells, golf clubs, and pool/billiards/snooker cues.

    The physical properties of CFRP are anisotropic (different depending on the

    direction of the applied force or load). The properties depends on of a CFRP panel will often

    depend upon the orientation of the applied forces and/or moments and orientation of CFRP

    Laminates.

    To study mechanical behavior of CFRP we need to basic terminology of CFRP.

    Laminae and laminates: Laminae is the basic building block of laminate which is a flat

    (sometime curved as in a shell) arrangement of unidirectional fibers or woven fibers in a

    matrix.

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    (a) (b)

    Fig:1.7 a) Basic structure Laminae b) Unbounded view of laminate construction[29]

    A laminate is a bonded stack of laminae with various orientations of principal

    material directions in laminae as shown in figure. The layers of a laminates are usually

    bonded together by the same matrix material that is used in the individual laminae.

    1.6. Requirement of composites testing

    The use of composites in commercial aircraft, transportation, machinery, marine, and the

    public works industries is increased too much. To use composite material in these fields, it is

    necessary to determine quality or acceptability of specific components and to determine

    intrinsic material properties such as modulus and strength for use in design and analysis. So

    there is a need to develop methods to predict the material properties and behavior of

    composite materials and structures made of these materials under a variety of loading and

    environmental conditions.

    1.5. Problem statement

    As we know that use of composite material is increasing in automotive, marine

    transportation, civil engineering, sporting goods, medical equipment and prosthetic devices,

    so there is a need to develop methods to predict the material properties and behavior of

    composite materials and structures made of these materials under a variety of loading and

    environmental conditions.

    In this research project, Experimental testing of will be carried out on CFRP composite

    material varying specimen parameters like thickness of specimen, placing laminate in

    different-2 angle, with cutout at different-2 place and varying depth and radius of cutout and

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    varying strain rate. Then the results will be compared with numerical data which will be

    obtained in ABAQUSsoftware to verify experimental results.

    1.6. Outline of the report

    The report has been divided into 3 chapters. Chapter 1 includes introductory part of

    composite which includes properties of composites, classification, applications, CFRP

    introduction, problem statement and the outline of the report. In chapter 2, types of

    mechanical tests for composite are studied in detail. Later literature review of tensile,

    compression, buckling and in-plane shear test has been carried out. Next chapter describe the

    work done and future proposed work which includes methodology and flowchart of work.

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    Chapter 2 : Mechanical Testing of Composites and Literature

    Review

    2.1. Mechanical testing of composites The use of composites in commercial

    aircraft, transportation, machinery, marine, and the public works industries is increased too

    much. So to use composite material in these fields, it is necessary to determine quality or

    acceptability of specific components and to determine intrinsic material properties such as

    modulus and strength for use in design and analysis.

    2.1.1. Properties to be evaluated in Testing

    We do experiments to find out to find out the strength and elastic propertiesof a

    material. But as we know that by experiment tests we can only measure loads and

    displacements. To find out the desired properties of composites from these parameters we use

    the theory of elasticity for an anisotropic body. Fibrous composites with unidirectional,

    laminated or spatial fiber lay-ups are inhomogeneous, are anisotropic materials. So to specify

    the direction of load and its relationship with axes of elastic symmetry of the material, two

    systems of coordinatesare introduced: the axes of elastic symmetry in the material (1, 2, 3)

    and axes of loadingx, y,z . It is preferable to use methods in which the x, y,z axes coincidewith the 1,2,3 axes.

    The majority of laminated and fibrous composites exhibit low interlaminar shear and

    transverse tension strengths. Shear strength is characterized by the relations between

    /x xz

    E G (shear stiffness) and /u ux xz ; (shear strength). Transverse tension and compression

    strengths perpendicular to the fibers are determined by the relations E x / Ez , /tu tu

    x z ,

    /tu cu

    x z ; where Ex and Ez are the moduli of elasticity in the x and z directions; Gxz is

    interlaminar shear modulus ux

    and uz

    are strengths in the x and z directions; uxz

    is shear

    strength in xz plane. Thex and y axes are located in the fiber lay-up (reinforcement) plane,

    the z-axis is perpendicular to this plane; the (t) and (c) designate tension and compression,

    respectively.

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    2.2. Testing and Literature review

    2.2.1. Tensile testing: A uniaxial tension test specimen has several functionally parts:

    two loading sections, a gage section, and two transition sections. The loading sections

    provide a means of fastening the specimen in the testing machine. They receive and transmit

    the external loads to the gage section of the specimen. In the gage section, deformations are

    measured and stresses are calculated according to the geometrical dimensions and external

    load. The transition sections serve to attenuate stress-strain perturbations in the loading

    section to isolate them from the gage section.

    The greatest technical challenge in tension testing of composites, especially

    unidirectional composites, is the reliabletransmission of tensile forces from the grips to the

    specimen. This is generally performed through the use of friction forces. Tabsbonded to the

    specimen improve the efficiency of load transmission considerably. For better grip we choose

    the tabs made of a material that has a much lower modulus of elasticity and a higher total

    elongation than the respective characteristics of the specimen material. Tabs have been made

    of fiberglass reinforced composites, aluminum and wood veneers. The thickness of tabs

    should be between 1.5t and 4t, where t is the specimen thickness. The tabs must have a large

    enough area that the ultimate shear load capacity of the bond between the tabs and thespecimen is greater than the breaking load of the specimen gage section.

    The mode of failure in tension depends on the relationship between the external load

    and the reinforcing fibers and on the type of reinforcement lay-up. When unidirectional

    composites are loaded in the reinforcement direction, they fail by breakage of the reinforcing

    fibers. This is accompanied by transverse cracks, longitudinal shear cracks and

    delamination of the polymer matrix. Increasing the angle between the load and the

    reinforcing fibers causes the mode of failure to change gradually from shear and splitting of

    the polymer matrix parallel to the fiber direction to pure transverse tensile crackingof the

    polymer matrix. The failure mode of composites with balanced angle-ply reinforcement

    depends on the angle of the fiber lay-up.

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    Fig.2.1:CFRP Specimen Shape [?]

    2.2.2. Literature review on tensile test

    1) The effect of the lay-up sequences on the mechanical properties and fracture

    behavior of the advanced carbon fiber-reinforced plastics (CFRP) composite was determined

    in [1]. Specimens with angles of 0, 45 and 90between the fibers of the 0 layers and the

    longitudinal direction of the specimen ((0), (45) and (90) specimens) were used. The

    mechanical properties were evaluated by tensile test. he found that the tensile fracture stress

    of the 0/90 ply-(0) and (90) specimens were about one-half that of the 0/0 ply-(0)

    specimen.

    Specimen used

    Used specimen was 3.5-mm-thick carbon/epoxy laminates whose schematic illustrations are

    shown in Fig 2.2(b) ; unidirectional (designated as 0/0 plies) orthotropic (designated as

    0/90 plies) and quasi- isotropic (designated as 0/90/. 45 plies) laminates (20 plies) of

    0.205 mm prepregs consisted of long carbon fibers (6 7 m in diameter)

    Types of specimen used 1) unidirectional (designated as 0/0 plies)

    2) orthotropic (designated as 0/90 plies)

    3) quasi-isotropic (designated as 0/90/ 45 plies)

    Fig2.2: Schematic illustrations of laminates with various lay-up sequences. Fig 2.3: Configurations of (a)

    unnotched tensile, (b) notched tensile,[1]

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    Configuration of specimens

    1) unnotched- width 7 mm thickness- 3.5mm Tab length- 60 mm gage length- 20

    2) notched -width 11 mm thickness- 3.5mm Tab length- 60 mm gage length- 20

    notch 2mm with 45 angle

    Result

    So he found out as he increase angle from 00 to 900Tensile fracture stress decreased. As it

    was above 1000MPa for 00and at 900it decreased to less than 100mpa.Tensile fracture stress

    of the 0/0 ply-(0) specimen at and above 1000 MPa was independent of specimen type, but

    that of the 0/0 plies-(45) and (90) specimens was less than 100MPa.The anisotropy of the

    properties for the 0/90 plies was improved compared to that of the 0/0 plies. However,

    the tensile fracture stress of the 0/90 ply- (0) and (90) specimens was only about one-half

    that of the 0/0 ply-(0) specimen. The tensile fracture stress of the 0/90 ply-(45)

    specimen was less than 200 MPa. The 0/90/ 45 ply specimen exhibited an isotropy of the

    properties, but its fracture stress was about 40% of that of the 0/0 ply-(0) specimen.

    Fig 2.4: a) Unnotched tensile fracture stress for laminates with various lay-up sequences. b) Notched tensile

    fracture stress for laminates with various lay-up sequences[1]

    2) The mechanical properties of unidirectional normal modulus carbon fibrereinforced polymer (CFRP) sheet under quasi-static and medium impact tensile loads with

    different strain rates was experimentally investigated in [2]. He found that mechanical

    properties are strain rate dependent. The tensile stress, modulus of elasticity and strain at

    failure obtained at 3 strain rates (54.2, 67.2 and 87.4 s-1) were compared with those obtained

    from quasi-static tests to demonstrate the influence of strain rate on mechanical properties

    Test specimenMaterial- fibre reinforced polymer sheet (CF130).

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    Process and shape size- wet-lay-up process was used to manufacture a test panel (thin

    laminate carbon/epoxy) which was later cut into several coupons. Steel tabswere bonded on

    both sides at the ends of specimens to avoid damage on gripping CFRP sheets. Length for test

    specimen is 138 mm.

    Fig.2.5: Coupons for testing the properties of CFRP [ 2 ]

    Equipments and test procedure

    The drop mass rig which was modified to carry out the impact tensile tests was utilized for

    testing CF130. The strain rate for the quasi-static tests was 2.42 x 10-4 s-1. The strain rates

    for the impact tests were 54.2, 67.2 and 87.4 s-1. The different strain rates were generated by

    dropping a mass of 156kg from various heights (0.375m, 0.575m and 0.975m).

    10 static tests were conducted in an Instron testing machine to serve as reference tests. The

    measured properties include tensile stress, modulus of elasticity and strain at failure.

    The influence of axial strain rate on the stress-strain curve of carbon/epoxy specimens isillustrated in Fig.2.6 (a). The effect of strain rate on tensile stress,the tensile stress against the

    strain rate is presented in Fig.2.6 (b) for all the aforementioned strain rates. It is clear that

    there is a general trend of increase in tensile stress as the strain rate increases. The increase in

    tensile stress varies from 20% to 43% when compared with that under quasi-static load.

    Increase in modulus of elasticity was about 20% when the strain rate was above 52.4 s-1.

    Fig 2.7(b) illustrates the influence of strain rate on the strain at failure for CF130.

    Again there is a general trend of increasing strain at failure as the strain rate increases. For

    strain rate of 54.2 and 67.2 s-1 the increase is about 9%. A greater increase (24%) was found

    when the strain rate reached 87.4 s-1.

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    Fig 2.6: a) Stress-strain curves of CFRP for various strain rates b) The effect of strain rate on the tensile stress

    of CFRP [2]

    Fig 2.7: a) The effect of strain rate on the modulus of elasticity of CFRP b) The effect of strain rate on the strain

    to failure of CFRP[2]

    3) Tensile behavior of the 17-ply anti-symmetric carbon/epoxy composite which

    were arranged in the ply sequence of [-602/0/605/0/-605/0/602] subjected to tensile load was

    examined, subjected to uniaxial tensile loading both experimentally and numerically in [4].

    The author described the damage behavior of the plies, whereas damage initiation and

    progression of the interfaces. Force displacement curves obtained numerically and

    experimentally. His Results shows that all laminae and interfaces experienced the damage

    except laminae with 0o fibre. In addition, damage was concentrated at the tab and central

    regions of the tensile specimen. Edge delamination was observed in all interfaces. He

    observed that damage was first initiated at the tab region, which slowly-2 propagated and

    accompanied by damage at the central region. He observed for interfaces delamination also

    occurs along the edges.

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    Results: Load-displacement curves: The measured and predicted load-displacement

    responses of the composite specimen under tensile loading was compared which is shown in

    Fig.2.8 (a). Gauge length of 3 mm specimen was used. The linear plot suggests that no

    apparent damage is observed during loading until the final catastrophic fracture occurs. Thepeak load at fracture was compared well to predicted load magnitude. The difference could

    be due to inability of the numerical computation to account for the load carrying ability of the

    fibre after complete failure of the matrix.

    Fig 2.8: a) Experimental and predicted load-displacement curves b) Damage initiation time of damaged laminae

    and interfaces[4]

    Damage behavior of laminae and interfaces: Evolution of internal states and

    damage in the laminae and interfaces throughout the loading was predicted by the finite

    element model. Fig.2.8(b) describes the corresponding time at damage initiation of each

    lamina and interface. Damage is initiated in all laminae and interfaces except laminae with 0 o

    fibre. It is predicted that only tensile matrix failure occurs in the lamina during the tension

    test.

    Next, the progression of damage in L1is described. Fig.2.9 illustrates the sequence

    of matrix damage propagation with continuously increasing tensile loading of the specimen.

    Results show damage is initiated at near tab region (Fig.2.9 (a)). Then, the stresses and thus

    matrix damage variable are increased uniformly across the whole lamina (Fig.2.9 (b)). This is

    followed by matrix damage initiation at isolated region nearby (Fig. 5. (c)) that propagated to

    the edges (Fig.2.9 (d). Fig.2.9.(e) illustrates the damage contour at peak load, where matrix

    cracking at the central region is observed. Besides, anti-symmetric feature of the lamina is

    obvious as reflected in anti-symmetric distribution of matrix cracking damage.

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    Fig.2.9: Progression of damage initiation in L1[4]

    Fig.2.10: Interface damage initiation and propagation in I1 [ 4 ]

    Fig.2.10 describes the initiation and progression of delamination damage in I1. Since damage

    is initiated at the edges near the tabs (circled in red in Fig.2.10.(a)), delamination propagates

    across the width and connects after that (Fig.2.10. (b)). It is accompanied by edge

    delamination along the edges. Then, delamination is predicted to propagate slightly further

    from the tabs (Fig.2.10. (c)). When peak load is attained, delamination is found at the central

    edges of the specimen (Fig.2.10. (d)).

    He observed that damage is first initiated at the tab region, which slowly-2 propagated and

    accompanied by damage at the central region. He observed for interfaces delamination also

    occurs along the edges.

    2.3. Compressive test

    2.3.1. Types of Compression tests for CompositesIn compression testing of unidirectional composites in the fiber direction, three basic modes

    of failure are observed: buckling of the reinforcing fibers, transverse cracking of the matrix,

    and shearing of reinforcing fibers at a 450angle without local buckling of the reinforcement.

    Transverse cracking is caused by differences in the Poisson's ratios of the material

    components and by a non-uniform transverse strain distribution along the specimen length.

    Materials reinforced at an angle to the specimen's longitudinal axis fail in shear without

    crumpling at the end faces because the entire shear load is taken up by the matrix. Theaforementioned basic modes of failure can be accompanied by a series of other phenomena:

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    inelastic and non-linear deformation of the reinforcing fibers and matrix, delamination,

    surface peeling, overall buckling and crushing of the end faces. Failures with different

    combinations of these phenomena can make the determination of the failure mode very

    difficult. In compression testing, great care must be taken to ensure stability of the specimen,

    especially in the gage section. Buckling of the specimen side face is not always detectable

    and will cause erroneous strain measurements. Special test fixtures are used to prevent overall

    buckling of the specimen. There arethree accepted test methods. Each is briefly outlined and

    schematic diagrams of grip arrangements are presented. Strain gages are generally used for

    each of these test methods.

    Type 1

    This method is characterized by having a completely unsupported specimen with a relatively

    short test section length. Several types of fixtures exist for this method. The Celanese (ASTM

    D-3410-75) test fixture and associated specimen geometry are shown in Figure 2.11(a). The

    Illinois Institute of Technology Research Institute (IITRI) test fixture uses a test specimen

    identical to the Celanese fixture and is shown in Figure 4.11(b).

    Fig.2.11: a)Celanese test fixture and specimen (ASTM D 3410-75) b)Modified grips for IITRI compression test

    c)Northrop compression test specimen and fixtured) d)NBS compression test specimen and

    Fixture[19][20][21][22]

    (a) (b)

    (c) (d)

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    Strain gages are mounted on the specimen, which is loaded through serrated wedges

    constrained by solid steel bases. The Northrop test fixture is simpler than the Celanese or

    IITRI fixtures and is shown in Figure 2.11(c) The final example of typeI compression testing

    is the NBS (National Bureau of Standards) test fixture.This fixture combines aspects of the

    Celanese and IITRI fixtures and adds features that allow for tensile tests. The NBS fixture is

    shown in Figure 2.11(d). All four of the Type I test methods yield acceptable results, but are

    difficult to conduct because of load line eccentricity.

    Type 2

    In this class of tests the specimens are characterized as having a relatively long test

    section that is fully supported. The SWRT (Southwest Research Institute) and the Lockheed

    type fixtures are schematically shown in Figures2.12 (a) and (b), respectively. Results from

    experiments using these grips are comparable to data from Type I tests. The SWRI grip has a

    cut in one support to allow for a transverse gage to measure Poissons ratio in compression.

    Longitudinal strain is measured by an extensometer or strain gage placed on the edge of the

    specimen. The specimen is a modified tensile specimen in which the overall length is reduced

    while the end tab lengths are increased. The entire specimen length is supported by the

    fixture. The Lockheed fixture uses side supports only over the gage section of the specimen,

    which is the primary difference between it and the SWRI fixture.

    Fig 2.12: a) SWRI compression test fixture b) Lockheed compression test fixture [22][23]

    Type 3

    The final class of compression test methods involves two sandwich beam specimen

    configurations. In each case straight-sided coupons are bonded to a honeycomb core, which

    supplies lateral support. The elastic moduli and Poissons ratio are determined from

    (a) (b)

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    relationships between applied loads and strain gage readings taken from the specimen

    .Results of failure strengths from this method are usually higher than those from the other

    methods. The sandwich beam method can also be used to determine tensile properties. The

    two specimen configurations are shown schematically in Figure 2.13. The specimen in

    Figure2.13.(a) is referred to as the edgewise compression test specimen and is used to

    determiney

    E , and yx from the initial linear portion of the load-displacement curves

    generated during testing.

    Fig.2.13: a) Sandwich beam edgewise compression test configuration b) Four-point bend sandwich beam

    compression test[26]

    The applied load is assumed to be distributed equally between the top and bottom specimens.

    The core is assumed to carry no in-plane load and is intended to supply lateral stability so that

    the potential for buckling is reduced. The elastic modulus and Poissons ratio are determined

    from strain gage readings to be

    x

    yx

    y

    = .2.1

    2 2

    y

    y

    y y y

    P PE

    A bh

    = = =

    .2.2

    The specimen in Figure 2.13(b) is somewhat different because it is loaded in four

    point bending. The specimen is the top sheet, which experiences compression. The bottom

    face sheet is in tension and is metal. Since the sandwich beam is subjected to flexure, various

    parameters (metal face sheet strength, core cell size, etc.) can be changed to achieve the

    desired compression failure of the specimen.Poissons ratio for this specimen is determined

    from direct strain gage readings to be /xy y x = . The elastic modulus Ex, is somewhat

    harder to establish since it requires an assumption of uniform deformation in each face sheet

    while bending stresses in the core are neglected.

    (a) (b)

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    2.3.2. Literature review

    1) Nonlinear mechanical behaviors of unidirectional composites under

    compressive loading using a sandwich beam specimen with the emphasis on the elastic

    material nonlinearity in the fiber direction was studied in [6]. Measured compressive

    behaviors were compared with those from coupon-type compression tests of unidirectional

    and quasi-isotropic laminates. The compressive strength of unidirectional laminates

    evaluated, using the present sandwich method, was much higher than that of coupon

    specimens, whereas the failure strain of the former was almost identical to that of coupon

    type quasi-isotropic laminates.

    Test specimen

    A sandwich beam flexure specimen consisting of unidirectional CFRP and honeycomb core

    was utilized to measure compressive response and strength of 00 laminates. In order to

    prevent unwanted failure modes (e.g., core failure, skin/core debonding) Sandwich

    construction was applied only to the gauge section of the specimen used here. In addition,

    sandwich specimen with a relatively thin core wad used in his[6] study to make the ratio of

    span length to specimen thickness large so that applied load in four-point bending is small

    enough not to induce failure near load pins (even when flexible cushion is placed between

    load pins and specimens).

    Fig2.14: a) longitudinal compression sandwich beam test specimen b) Assumed stress distribution in the

    thickness-wise direction.[6]

    In figure parameters are hf(mm)- 1.1 hc(mm) = 5.0 ho(mm)= 2.2 lc(mm)= 20 lp(mm) =

    25 lm(mm)= 105.

    This study used a T800H/3633 carbon/epoxy. An aluminum honeycomb (1/8-5052-002,

    Showa Aircraft Industry Co. Ltd.) is used as the core of the sandwich beam in the gaugesection. Sandwich beams were manufactured in the manner that the longitudinal direction of

    (a) (b)

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    the honeycomb core coincides with the [0]8 direction of CFRP. In order to prevent failure in

    the tension side, [0]8 laminates and [0]16 laminates were used in the compression side and

    tension side, respectively. The rest of the core consists of [0]32 laminates. The fiber volume

    fractions are almost identical between the three unidirectional laminates (Vf=57%). CFRP

    laminates and aluminum core were bonded using structural epoxy film adhesives (AF163-2K,

    3M) in order to prepare sandwich specimens with 280mm length, 20mm wide, and 8mm

    thickness.

    Experimental Procedure - The manufactured specimen and test apparatus is shown in

    Figure 2.15(a). Flexible rubber sheets were placed between the load pins and specimens in

    order to avoid unwanted failures near contact regions. Strain gauges were attached onto both

    surfaces in the central gauge section. The four-point flexure tests of the sandwich specimens

    were performed using a mechanically driven machine (4482, Instron) until failure. The

    crosshead speed was set to be 2 mm.

    Fig.2.15: a) Four-point flexural test apparatus of sandwich specimen b)Experimental stressstrain curves of

    compression test.[6]

    Test result - The measured compressive stressstrain relations of the three specimens are

    shown in Figure2.15 (b). Clear nonlinear response can be observed in high strain ranges.

    Compressive failure occurred in the gauge section. No damage was observed in the

    honeycomb core until skin compressive failure. The tensile strain in the opposite skin was

    less than 1% at specimen failure, which was low enough compared to the tensile failure strain

    to be considered as no tensile damage in the opposite skin. By this results he concluded that

    this is the fairly adequate compressive testing of unidirectional laminates could be performed.

    The average compressive strength and failure strain were 1860MPa and 1.67%, respectively.

    The coefficient of variation estimated from three specimens is relatively small (5.4%).

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    The results obtained from this experiment were compared with coupon type test

    methods. Which has same volume fraction with unidirectional [0]20laminates. The stress

    strain relation of coupon specimen coincides well with that of sandwich specimen, which

    shows the validity of the present test method.

    However, compressive strength of the sandwich specimen was found much higher

    than that of the coupon specimen, at 1860MPa for the sandwich and 1420MPa for the

    coupon.

    The effect of specimen size on the axial compressive strength of IM7/8552 carbon

    fibre/epoxy unidirectional laminates (UD) was experimentally studied evaluated in [5].

    Laminate gauge length, width and thickness were increased by a scaling factor of 2 and 4

    from the baseline specimen size of 10 mm * 10 mm * 2 mm. In all cases, strength decreased

    as specimen size increased, with a maximum reduction of 45%; no significant changes were

    observed for the axial modulus. Optical micrographs show that the failure mechanism is fibre

    micro buckling accompanied by matrix cracking and splitting. The location of failure in most

    specimens, and especially the thicker ones, was where the tabs terminate and the gauge

    section begins suggesting that the high local stresses developed due to geometric

    discontinuity contribute to premature failure and, hence, reduced compressive strength. Two

    generic quasi-isotropic multi-directional (MD) lay-ups were also tested in compression,

    one with blocked plies [45n/90n/-45n/0n]s and the other with distributed plies [45/90/ /45/0]ns

    with n = 2, 4 and 8.Strength results showed no evidence of a size effect when the specimens

    are scaled up using distributed plies and compared to the 2 mm thick specimens. All blocked

    specimens had similar compressive strengths to the sub laminate ones apart of the 8 mm

    specimens that showed a 30% reduction due to extensive matrix cracking introduced during

    the specimens cutting process. The calculated unidirectional failure stress (of the 00 ply

    within the multidirectional laminate) of about 1710 MPa was slightly higher than the average

    measured value of 1570 MPa of the 2 mm thick baseline unidirectional specimen, suggesting

    that the reduced unidirectional strength observed for the thicker specimens was a testing

    artefact. It appears that the unidirectional compressive strength in thicker specimens (>2 mm)

    is found to be limited by the stress concentration developed at the end-tabs and

    manufacturing induced defects such as fibre misalignment, ply waviness and voids.

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    Experimental procedure

    Specimen:

    Material: The specimens were fabricated from carbon/epoxy pre impregnated tapes 0.125

    mm thick. The tapes were made of continuous intermediate modulus IM7 carbon fibers pre-

    impregnated with Hexcel 8552 epoxy resin (34 vol% resin content).

    Specimen type: 1.Unidirectional plates [04]nswith n = 2, 3, 4, and 8.(thickness)

    2. Quasi-isotropic

    1. Blocked plies [45n/90n/-45n/0n]s

    2. Distributed plies [45/90/-45/0]nswith n = 2, 4 and 8

    Specimen geometry-

    Design of a compressive test specimen certain constraints considered: (i) end-tabs were

    required both to effectively transfer load from the test machine grips to the specimen and to

    provide an adequate restraint against specimen buckling; (ii) the overall specimen stability

    needs to be sufficient to ensure that compressive failure occurs significantly before potential

    buckling, implying correct combination of specimen length and flexural stiffness.

    The maximum allowable specimen gauge section length was determined on the

    basis of an Euler column buckling analysis assuming a pinned end strut with a rectangular

    cross-section and corrected to account for the influence of shear deflection due to transverse

    shear forces developed in anisotropic materials.

    Critical gauge lengths for plain specimens

    Thickness (mm) 2 4 6 8 10

    Lmax(mm) 13.9 27.6 45.9 55.9 69.9

    Minimum gauge length for waisted specimens

    t0(mm) 1.34 2.67 4 5.34 6.67

    Lmin (mm) 8.2 16.6 24.9 33.1 41.5

    In order to avoid failure occurring at the junction of end-tab and the gauge section

    or within the tabs, then a specimen with waisted gauge section could be considered. Waisting

    the specimen through its thickness, which is in fact an optimized form of tabbing, has to be

    carried out carefully in order to maintain a symmetric specimen, otherwise one would be

    likely to introduce bending and cause premature failure.

    Test fixture and mechanical tests

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    Generating a uniform one-dimensional stress state was the main objective of a compression

    test fixture. Stress concentrations due to load introduction present the most serious problems

    for unidirectional lay-ups and may cause premature failure of the specimen. Currently, there

    are no universally accepted test standards for testing specimens thicker than 2 mm. In[5]

    compression tests on the unidirectional specimens were performed using the Imperial College

    ICSTM test jig at a constant compression rate of 1 mm/min on a servo-hydraulic machine

    with a load capacity of 1000 kN, which is shown in Figure 2.16.

    By this fixtures specimen was loaded purely on the ends. However, a small amount

    (in the region of 10%) is applied by shear loading via the end-tabs, thus lowering the average

    stresses at the end of the test piece. The fixture consists of two grip blocks, Fig. 2.16 that

    accommodates the specimen and prevent debonding of the tabs from the specimen end, shear

    failure of the end or compression failure under the tab. The clamping blocks rest on hardened

    and ground steel plates, a measure that was necessary to avoid indentations of the loading

    surfaces. The high precision die set shown in Fig. 2.16(a) was designed to eliminate specimen

    misalignments. The lower grip was not attached to the lower plate of the die set in order to

    minimize additional constraints during testing, like bending of the specimen due to

    misalignment between the upper and lower grips. The bolt torque applied in the clamping

    blocks for the 2 mm thick specimen was in the region of 810 N m and increased slightly for

    the thicker specimens. An advantage of the fixture was that by adjusting the size of the

    clamping blocks a variety of specimen sizes can be accommodated; it was also used to test

    multidirectional laminates.

    Fig.2.16: (a) ICSTM compression test fixture and (b) clamping blocks for a 40 mm 40 mm 8 mm

    specimen.[5]

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    Foil strain gaugeswere used on both faces to tested degree of Euler bending and measure

    axial strain and, hence, axial modulus. The location and nature of damage in the UD

    laminates was obtained by optical and scanning electron microscopy (SEM).

    Compressive test results: The experimental results consist of stressstrain plots,fracture stresses and strains for the unidirectional and multidirectional laminates, scanning

    electron micrographs of some of the fracture surfaces, and photographs showing the overall

    failure mode of selected specimens.

    Unidirectional laminates: Initial compression tests on unidirectional specimens with

    relatively thin end-tabs showed that failure occurred within the tabbed region, Fig. 2.17(a),

    resulting in relatively lower compressive strengths (2030% lower than expected). It appears

    that damage initiated on the end of the specimen (top corner) at the load introduction point

    and propagated down the length and across the width of the specimen. Due to the clamping

    constraining effect failure was progressive in nature, resulting in a more ductile load

    displacement curve, Fig. 2.17(b), rather than the relatively brittle catastrophic failure that is

    usually observed when the specimen breaks within the gauge section or near the end-tab.

    Fig 2.17:(a)Post-failure mode of unidirectional specimens b) loaddisplacement curve of a 4 mm thick

    specimen that failed within the tabbed region[5]

    Representative stressstrain curves of 2 mm (plot A), 4 mm (plot B) and 8 mm (plot C) thick

    unidirectional specimens obtained at the centre of each specimen from back-to-back strain

    gauges are shown in Fig.2.18.

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    Fig.2.18:Typical stressstrain curves of the unidirectional specimens obtained from back-to-back strain gauges

    (A: 10 mm *10 mm * 2 mm, B: 20 mm *20 mm * 4 mm and C: 40 mm *40 mm* 8 mm.).[5]

    Multidirectional laminates -stressstrain curves of the 2 mm, 4 mm and 8 mm thick

    multidirectional specimens laminated with distributed plies [45/ 90/45/0]ns (sub laminate-

    level scaling)and blocked plies [45n/90n/45n/0n]s (ply-level scaling)stacking sequences are

    shown in Fig. 2.19:a and b, respectively. Plots B for the 4 mm thick specimen and C for the 8

    mm thick specimen are offset by 0.5% and 1.0% strain, respectively.

    Fig.2.19: a) Sub laminate-level([45/90/-45/0]ns) laminate b) Ply-level scaled ([45n/90n/-45n/0n]s) laminate[5]

    2.3.3. Buckling

    The influence of cutout shape upon the buckling stability of multilayered

    rectangular epoxy plates reinforced by glass fiber, with different orientation angles was

    studied in [17].U-shaped cutouts were made on the long sides symmetrically. The

    investigated plates were simply supported on the loaded edges (i.e. short sides) and free on

    the unloaded edges. The plates without cutouts were examined theoretically to confirmexperimental and Finite Element (FE) results. The FE and experimental results were found

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    out for different U-shaped cutouts sizes. U-notch shape effects are examined depending on

    notch depth and notch root radius. It was found that the effect of notch depth was stronger

    than that of the notch root radius on buckling loads of plates. But, in some cases, although

    plates containing U-notch, no reduction was obtained in buckling loads.

    Fig 2.20: a) Plate geometry with parametric dimensions b)Top and bottom supports[17]

    Specimen-

    Material- LY5082 epoxy resin matrix (Ciba Geigy) and E-Glass fiber.

    glass fiber volume fractions- 30%.

    Process used lay- up

    Specimen size- 200mm long*100mm wide *2.25 mm thickness

    unperforated (r=0, a=0), and three type notched panels with r=1 a=0, r=1 a=1, and r=1 a=2

    cm .The panels consists three plies which have 0, 30, 45, 60 and 900fiber orientation angles.

    Test fixture and testing speed- INSTRON 4301 universal uniaxial tensioncompression

    testing machine was used. Fixtures were designed to apply compression load with simply

    supported edges. The unloaded edges of the panel were free. The panels were loaded slowly

    at 1 mm/min rate and critical buckling load were obtained. To determine the initial buckling

    load two methods were used, firstly the point of inflection in the plot of load against in-plane

    displacement and secondly the point of reversal in the membrane strain.

    Results-

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    Fig. 2.21: a) Comparison of FE, experimental, and theoretical critical buckling loads of unperforated composite

    plates. b) Comparison of critical buckling ratio for various U-shaped cutouts, based on fiber orientation angle

    of ply.[17]

    2.4.In Plane Shear

    2.4.1. Shear Tests The material properties in the plane of lamination (1 -2) are

    commonly termed in plane, while those in the 1-3 and 2-3 planes are known as inter laminar

    properties. There are some commonly accepted methods for in-plane shear testing and out

    plane testing which are presented here.

    1) Shear Rail Test-

    There are two acceptable configurations for the shear rail test: two-rail and three-rail. A

    schematic of the load fixture for each is shown in Figures 2.22(a) and (b), respectively. For

    both tests the shear stress in the strain gaged region of each specimen is defined in terms of

    the applied load P and the specimen thickness (h), as well as the distance between each

    vertical rail (b). The shear stress for each configuration is approximated by

    xy

    p

    bh = (Two rail ) ..2.3

    2xy

    p

    bh = (Three rail).2.4

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    Fig.2.22: a) Two-rail shear apparatus and specimen.(ASTM D-30) b) Three-rail shear apparatus and specimen

    c)Specimen geometry for two- and three-rail shear tests[24][25]

    Free surfaces at the top and bottom of each specimen experience large normal stresses

    concentrated at the corners.A length-to-width ratio of 10:l has been shown to approximate a

    state of pure shear stress, provided the edges are perfectly clamped. The requirement of

    perfect clamping can be met if the bolts in the rails each apply the same clamping pressure to

    the edges. Since a state of pure shear is only approximated with the two- and three-rail

    configurations, a single element strain gage oriented at 450 to the load axis may not

    adequately define the true state of strain.

    2) 100Off-Axis Test: An off-axis test is generally performed in order to establish stress-

    strain responses in directions other than the principal material directions. The off-axis test is

    a tension test and no special fixtures or specimen preparation is required. Consider the

    unidirectional test coupon loaded as shown in Figure 2.23(a). The rectangular rosette in this

    figure is not required for establishing G12. Its presence is solely for the purpose of indicating

    that an off-axis test can be used for defining more than one parameter. The strains indicated

    by each gage in the rosette are related to Cartesian (x-y) strains by the strain transformation.

    The relations between gage strain and the Cartesian strains are A = x , y = C , and

    2xy B A C = , where A , B , and C are the strains indicated by gages A, B, and C,

    respectively. The normal stressx

    , and strainx

    , (from strain gage measurements) are related

    by /x x xE = .

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    variety of material properties than other procedures. Analysis of the procedure has led to the

    evolution of several specimen and fixture geometries.

    Fig:2.24: a) Schematic of Iosipescu test fixture and specimen b) Specimen configurations for determination of

    shear properties from the Iosipescu test procedure.[26]

    4) [ 4 5 ]2s Coupon Test: This procedure involves a uniaxial tension test of a [ 45]2s

    laminate, with strain gages. Although a biaxial rosette is sufficient, a three-element rosette

    provides additional information that can be used to verify the state of stress in the specimen.

    Specimen preparation and testing are identical to a conventional tension test. Results from the

    [

    45]2stest are in good agreement with those from other procedures, and it is considered tobe a reliable test configuration

    2.4.2. Literature review for in-plane shear test

    In-plane Shear Strength of Unidirectional Composite Materials Using the Off-axis Three-

    point Flexure and Off-axis Tensile Tests was determined and compared in [9]. In the case of

    the off-axis three-point flexure test, the condition of small displacements and the condition of

    lift-off between the specimen and the fixture supports were taken into account. Some

    considerations regarding stress and displacement fields were presented. The in-plane shear

    characterization were performed on a carbon fiber reinforced unidirectional laminate with

    several fiber orientation angles: 100, 200, 300, and 450.Test conditions for both off-axis

    experimental methods, in order to ensure their applicability, are presented. By investigation

    results the author found out Off-axis flexure test more suitable than off-axis tensile test for

    the determination of in-plane shear strength.

    Material and Apparatus

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    Material - Toughened epoxy matrix-based carbon fiber reinforced. All specimens had the

    same Cross section- width b =12.5mm and thickness h=1 mm. with off-axis fiber orientation

    angles: 100, 200, 300, and 450, with different length-to-width ratios. A universal testing

    machine Instron- 4206 with two load cell of 100 and 1 kN, and standard test fixtures, were

    used.

    Geometric parameters in off-axis tests:

    Off-axis tensile test Off-axis flexure test

    h L (mm) L (mm) c L0(mm) L (mm) c cLO

    100 275 175 14 90 80 6.5 6.34

    200 275 175 14 70 60 4.6 3.19

    300 250 150 12 60 50 3.8 2.25

    450 200 100 8 50 40 3.1 2.20

    Off-axis Tensile Test

    A cross-head speed of 1 mm/min was considered for tensile tests. Both the nominal gage

    length L and the nominal overall-length L of the tensile specimens are consigned in Table

    (Figure 2.25) as well as the nominal length-to-width ratio c. All authors suggest a high

    length-to-width ratio, in order to reduce the end-constraint effect: cmax 9. cmax=10 , cmax

    16, cmax=18 and cmax=28. The gripping system consisted of sandpaper placed between the grip

    and the specimen along the gripping length H presented in Figure 2.25(a). For all off-axis

    tensile tests H=50 mm.

    Fig.2.25: a) Specimen configuration of the off-axis tensile test. b) Specimen configuration of the off-axis flexure

    test.[9]

    Off-axis Flexure Test

    The flexure tests were performed at a nominal strain rate of 1%/min. The nominal span L, the

    nominal overall-length L, and span-to-width ratio c of the flexure specimens showed in fig.

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    In order to increase the shear stresses at the failure critical point the span-to width ratio must

    be as high as possible, bearing in mind the small displacement condition, ensuring that the

    maximum deflection during the test do not exceed the 10% of the span.

    Result

    Off-axis Tensile Test

    there are three critical points in the off-axis tensile test: point F near the gripping zone, point

    M located along the longitudinal middle line of the specimen, and point F located along the

    longitudinal edge of the specimen where it is assumed that failure starts.

    Fig.2.26:Points of maximum normal and shear stresses in off-axis tensile specimen[9]

    The longitudinal normal stress, transverse normal stress, and the in-plane shear stress

    as function of the fiber orientation angle, at points F, M, and F, are presented in Figure 2.26.

    Results show that all stress components are higher at F than at F and at M. In spite of the fact

    that all in-plane stress components are a little greater at point F than at point F, the failure

    starts at point F due to the greater probability of containing machining defects through the

    longitudinal edge of the specimen.

    Fig:2.27: Experimental values of off-axis tensile stresses as a function of the fiber orientation angle at failure

    load: (a) longitudinal normal stresses, (b) transverse normal stresses, (c) in-plane shear stresses.[9]

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    Figure 2.27(c)According to [9] results it was revealed that in-plane shear stress

    decreases as the fiber orientation angle increases, due to increasing influence of Tas seen in

    Figure 2.27(b), and that determination of (in plane shear strength)XLTby means of the off-

    axis tensile test provides a conservative value. It is recommended to consider low fiber

    orientation angles (e.g., =100). Comparing in-plane shear stress at critical points with the

    nominal interfacial shear stress it can be affirmed that, on the one hand, 0 is quite similar to

    ( LT)Mspecially for high off-axis angles. On the other hand, ( LT)Fand ( LT)Fare higher

    than 0in all cases. Regarding the in-plane shear strength experimentally obtained by the off-

    axis tensile test, it can be inferred from the results that the present approach, considering

    XLT=( LT)F, gives values up to 24% higher than values obtained with the conventional

    approach, based on 0 .

    Off-axis Flexure Test

    In-plane shear strength by the off-axis flexure test was determined at critical point K and K.

    Figure 2.28 shows the longitudinal normal stress, the transverse normal stress, and the in-

    plane shear stress as a function of the fiber orientation angle at both K and K points.

    Fig.2.28: Geometric loci of maximum normal and shear stresses in the off-axis flexure specimen[9]

    Figure 2.29(a) shows that longitudinal normal stress decreases as the fiber orientation angleincreases, and Figure 2.29(b) indicates that transverse normal stress has the opposite trend; it

    increases as increases. These results lead to conclude that for fiber orientation angles

    between 100and 450, for the span-to-width ratios considered, failure is mainly due to shear

    stresses. In-plane shear stresses at points K and K for all analyzed orientations are depicted

    in Figure 2.29(c), and compared to the reference value 114 MPa.

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    Fig.2.29: Experimental values of off-axis flexure stresses as a function of the fiber orientation angle at failure

    load: (a) longitudinal normal stresses, (b) transverse normal stresses, (c) in-plane shear stresses.[9]

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    Store the parameter ,non-loss electric, simple operating process Lead mechanism of

    translation .radium of rotation and motion parameter is set up , can memory, avoid the

    reset parameter when open and close PC, avoiding the error from artificial.

    According to the needs we can choose pulses, mm, microns for motion unit. pluses: The basic unit of controller.

    Mm/microns: Show the Linear displacement.

    Any position can be set to be the user working origin position. The convenience of setting to

    zero position is to simplify the experiment and reduce time.

    Real-time read the control system logical position, real position, drive speed and the

    acceleration during the movement, which will help us to find out the instantaneous speed

    and position of fixtures.

    Parameters can be stored and with memory function in case of power-down.

    Fig 3.1: Set-up for testing

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    3.2. Future work: It is divided in four parts

    1) Specimen

    2) Fixture

    3) Testing parameters

    4) Experiment

    1) Specimen

    1) Material:Raw Materials for type of CFRP prepregs has to be choose according to

    availability of material and our process.

    2) Process: Prepreg lay-up process will be chosen as it is Simple to manufacture

    complex parts easily using this process.It has the advantage of low tooling

    cost. Very strong and stiff parts can be fabricated using this process.

    3) Cutting process: The test coupons will be cutout from stacked composite sheets

    using required precision machining process.

    2) Fixtures: Fixtureswill be chosen according to our experiments. We have three option

    for compressive test:1) Celanese (ASTM D-3410-75) test fixture, Illinois Institute of

    Technology Research Institute (IITRI) , Northrop compression test fixture and NBS

    compression test specimen so on the basis of our requirement and for better result best

    fixture will be chosen. For type 2. Experiment we have option of a) SWRI compression test

    fixture b) Lockheed compression test fixture . For In-plane we will have to decide the fixture.

    3) Testing parameters:

    We will do experiment on the specimen by varying following parameters of the CFRP

    specimen.

    1) Specimen with cutout at different-2 place, with varying shape of cutout and depth of

    cutout.

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    Figure3.2: Specimen with different -2 cutouts

    2) Specimen with varying thickness and placing the laminas in different -2 angles

    witdifferent-2 number of lamina stakes.

    Radius

    L

    b

    Depth of cut

    Thickness ofLaminate(t)

    t

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    Figure.3.3.:Specimen with varying angle of fibers

    Figure:3.4. Specimen combining with different-2 angle of prepregs

    900

    600

    300

    Prepreg

    with angle

    900

    Prepreg

    with angle

    00

    Prepreg

    with angle45

    0

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    3) Angle between load and fiber direction.

    Figure:3.5. Specimen with load axial and transverse direction

    4) Experiment- Experiment will be done at various parameters which is decided above to

    determine the influence of fiber orientation on the CFRP mechanical properties. Each of the

    specimens will be tested in a random order and the stress and strain will be calculated from

    the load and displacement results.

    The results will be compared with numerical data which will be obtained in abaqussoftware to verify experimental results.

    Flow chartfor implementation of the proposed project in shown in figure: 3.6.

    F

    F

    FF

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    Fig.3.6: Flow chart for implementation of the proposed project

    Figure 3.7 shows the start and completion of various tasks mentioned in Figure.3.6 The

    entire project duration is 8 months which is divided into 8 quarters.

    Task/Month Oct Nov Dec Jan Feb Mar Apr Jun

    Task1 Done

    Task2

    Task3

    Task4

    Task5

    Task6

    Fig.3.7: Timelines for proposed project

    Expected outcome from the project

    After successful completion of the project in mechanical testing of CFRP in varying fiber

    orientation and varying thickness.Following specific objectives are identified with the above

    mentioned study:

    Detailed understanding about mode of failures during testing of specimen.

    Detailed understanding of mechanical properties of CFRP laminates with varying

    parameters(thickness, fiber orientation, strain rate) in specimen

    Validation of experimental data with modeling data .

    Task1:

    Literature survey

    Task2:

    Selection of materialand manufacturing of

    specimen

    Task3:

    Design,Fabrication andinstrumentation ofexperimental setup

    Task4:design anddevelpoment of

    specimen

    Task5:

    Experiments onspecimen

    Task6:

    Experimantal dataproceesing and

    analysis

    Task7:

    Publishing results

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    References

    1) Kojiro morioka,Yoshiyuki tomita, Effect of lay-up sequences on mechanical properties

    and fracture behavior of CFRP laminate composites,, journal of Materials Characterization

    45 (2000) 125-136, 29 February 2000.

    2) Haider AL-Zubaidy et al, Mechanical Behavior of Normal Modulus Carbon Fibre

    Reinforced Polymer (CFRP) and Epoxy under Impact Tensile Loads, Procedia Engineering

    10 (2011) 24532458,

    3) T. Okabea, N. Takedab Size effect on tensile strength of unidirectional CFRP

    composites-experiment and simulation, journal of Composites Science and Technology 62(2002) 20532064

    4) K. J. Wong et al , Tensile behaviour of anti-symmetric CFRP composite ,Procedia

    Engineering 10 (2011) 18651870

    5) J. Lee, C. Soutis , A study on the compressive strength of thick carbon fibreepoxy

    laminates , Composites Science and Technology 67 (2007) 20152026

    6) Tomohiro Yokozeki et al. Evaluation of Compressive Nonlinear Response of

    Unidirectional Carbon Fiber Reinforced Composites using a Modified Sandwich Beam

    Specimen in Flexure ,Journal of Reinforced Plastics and Composites 2008 27: 5

    7) A.C. Manalo et al In-plane shear behaviour of fibre composite sandwich beams using

    asymmetrical beam shear test ,journal of Construction and Building Materials 24 (2010)

    19521960

    8) D.E. Walrath, The Iosipescu Shear Test as Applied to Composite Materials

    Experimental Mechanics, page 150, March 1983

    9) G. Vargas and F. Mujika , Determination of In-plane Shear Strength of Unidirectional

    Composite Materials Using the Off-axis Three-point Flexure and Off-axis Tensile Tests

    Journal of Composite material 2010 44: 2487

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    10) George H. Staab , Mechanical test methods for lamina Page 120, Laminar

    composites 1999

    11) Yu.M. Tarnopol'skii and V.L. Kulakov, Mechanical tests page 778,HANDBOOK OF

    COMPOSITES ,SECOND EDITION, Edited by S. T. Peters.

    12) K. Schneider et al, Compression Shear Test (CST) A Convenient Apparatus for the

    Estimation of Apparent Shear Strength of Composite Materials journal of Applied

    Composite Materials 8: 4362, 2001.

    13)http://info.lu.farmingdale.edu/depts/met/met205/composites.html

    14)http://www.virginia.edu/bohr/mse209/chapter17.htm

    15)http://en.wikipedia.org/wiki/Composite_material#Properties

    16)http://core.materials.ac.uk/search/detail.php?id=2677

    17) Murat Yazici et al, Buckling of Composite Plates With U-shaped Cutouts Journal of

    Composite Materials, Vol. 37, No. 24/2003.

    18) Sanjay K. Mazumdar, Composites manufacturing Materials, Product, and Process

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    19) Hofer, K. E., Jr., N. Rao, and D. Larsen. Development of Engineering Data on

    Mechanical Properties of Advanced Composite Materials, AFML-TR- 72-205, Part I, Sept.

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    20) Verette, R. M., and J. D. Labor. Structural Criteria for Advanced Composites, AFFDL-

    TR-76-142, Vol. 1. Summary, March 1977.

    21) Kasen, M. B., R. E. Schramm, and D. T. Read. Fatigue of Composites at Cryogenic

    Temperatures, Fatigue of Filamentary Composites, ASTM STP 636, pp. 141-151, 1977.

    22) Grimes, G. C., P. H. Frances, G. E. Commerford, and G. K. Wolfe. An Experimental

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    23) Ryder, J. T., and E. D. Black. Compression Testing of Large Gage Length Composite

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    24) Whitney et al, Experimental Mechanics of Fiber Reinforced Composite Materials.

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    25) Lee, S., and M. Munro. Evaluation of In-Plane Shear Test Method for Advanced

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