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REINFORCEMENT
REINFORCEMENT
REINFORCEMENT
REINFORCEMENT
MATRIX
REINFORCEMENT
HIGH PERFORMANCE REINFORCEMENT
OTHER REINFORCEMENTS
• Glass Beads – Does not increase viscosity
• Asbestos – Health hazard
• Confined to Brake lining & Clutch facing
• Carbon Fibers – Higher Strength
Reduced Coefficient of Friction
Higher Thermal & Electrical Conductivity
Inert Surface
• Aramid – High Temperature Resistance, Tough
Bonding difficult
• UHMWPE – Low Melting Point
Unreactive Surface
• Short Stainless Steel Fibers –Less build up in Viscosity
Conductive Applications
(RFI & EMI Shield)
REINFORCEMENT
FIBRES:
REINFORCEMENT
REINFORCEMENT
REINFORCEMENT
REINFORCEMENT
REINFORCEMENT
HIGH PERFORMANCE REINFORCEMENT
ADVANTAGES
• High Strength & Stiffness
• Light Weight
• Design Flexibility
• Dimensional Stability
• Higher Heat Deflection Temperature
• High Dielectric Strength
• Corrosion Resistance
• Less Finishing
• Moderate Tooling Cost
HIGH PERFORMANCE REINFORCEMENT
LIMITATIONS
• Higher Processing Temperatures & Pressures
• Machine Wear
• Lower Impact Strength
• Anisotropic Properties
• Loss of Transparency
• Finish
• Cost
• Higher Specific Gravity
REINFORCEMENT
TARGET
PROCEDURE
REINFORCEMENT
•High Performance Reinforcement
Continuous Fibers
Volume Loading
•Low Performance Reinforcement
Short Fibers
Particulate Reinforcing Fillers
Volume Loading
HIGH PERFORMANCE REINFORCEMENT
MECHANICAL STRENGTH
Depends on amount, type & arrangement of fibers
CHEMICAL,ELECTRICAL & THERMAL PROPERTY
Depends on choice of matrix, formulation & other additives
HIGH PERFORMANCE REINFORCEMENT
ARRANGEMENT OF FIBERS
• Unidirectional - 80% loading by weight possible
Continuous Pultrusion
• Bidirectional - 75% loading by weight possible
Hand Lay up
• Multidirectional – 10 to 50% loading by weight possible
Compression & Injection Molding
Spray, Preform, Pressure Bag
HIGH PERFORMANCE REINFORCEMENT
HIGH PERFORMANCE REINFORCEMENT
HIGH PERFORMANCE REINFORCEMENT
Unidirectional Reinforcement
Longitudinal Response
Assumptions:
• Isostrain conditions (ε of composite = ε of fiber = ε of matrix)
• Matrix & Fibers are elastic
• Poisson ratio of matrix = Poisson Ratio of Fiber
F Composite =ⁿ∑F Fiber + F Matrix
Force = Stress (σ) x Area (A)
Ασ(Composite) =n Ασ(fiber) + Ασ(Matrix)
Volume (Vc) Composite = n Volume (Vf) Fiber + Volume (Vm) Matrix
Volume Fraction of Matrix Φm =Vm ∕ Vc
Volume fraction of Fiber Φf = nVf ∕ Vc
Φm = 1 - Φf
HIGH PERFORMANCE REINFORCEMENT
Volume = Length x Area
Length of composite = fiber = matrix
σc = Φfσf + (1 - Φf )σm
Under isostrain conditions
ε of composite = ε of fiber = ε of matrix
σc∕ εc = Φf σf ∕ εf+ (1 - Φf )σm ∕ εm
Ec = Φf Ef + (1 - Φf )Em
Limitation of Assumptions
Micro cracks, Voids
Perfect adhesion between fiber & matrix
Practical: k Fiber utilization efficiency
K Critical Volumetric Fraction
σc =K{Φf}σf + (1 - Φf )σm
HIGH PERFORMANCE REINFORCEMENT
Transverse Direction
Assumption:
• Isostress Conditions
• Fiber & Matrix are elastic
• Poisson Ratio of Fiber & Matrix are equal
Strain terms are additive
Vcεc = nVf εf + Vmεm
εc = Φfεf + (1 - Φf )εm
Under isostress conditions
σc = σf =σm
Jc = ΦfJf + (1 - Φf )Jm
1/Ec = Φf/Ef + (1 - Φf )/Em
Ec = Ef Em/Φf/Em + (1 - Φf )/Ef
HIGH PERFORMANCE REINFORCEMENT
Angular Orientation of the Fibers
Three possible modes of failure
1.Fracture at right angles to the fiber axis
[σc]θ= [σc]n
Cos2 θ
2.Failure in the Shear plane ║ to Fiber due to debonding or matrix failure
[σc]θ = τm ∕sin θ cos θ
3.Tension failure of matrix ║ to fiber
[σc]θ = [σc]90 ∕ sin2 θ
HIGH PERFORMANCE REINFORCEMENT
Randomly Oriented Fibers
[Eθ]c = ∫[Eθ]c dθ ∕ ∫ dθ
Integrate 0 to π ∕ 2
By simple law of mixture
Eθ = FΦf Ef + (1 - Φf )Em
F = Fiber efficiency factor – function of fiber volumetric fraction & ratio
of modulus of fibers to that of matrix
F is in the range of 0.15 – 0.60

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Reinforcement

  • 6. HIGH PERFORMANCE REINFORCEMENT OTHER REINFORCEMENTS • Glass Beads – Does not increase viscosity • Asbestos – Health hazard • Confined to Brake lining & Clutch facing • Carbon Fibers – Higher Strength Reduced Coefficient of Friction Higher Thermal & Electrical Conductivity Inert Surface • Aramid – High Temperature Resistance, Tough Bonding difficult • UHMWPE – Low Melting Point Unreactive Surface • Short Stainless Steel Fibers –Less build up in Viscosity Conductive Applications (RFI & EMI Shield)
  • 13. HIGH PERFORMANCE REINFORCEMENT ADVANTAGES • High Strength & Stiffness • Light Weight • Design Flexibility • Dimensional Stability • Higher Heat Deflection Temperature • High Dielectric Strength • Corrosion Resistance • Less Finishing • Moderate Tooling Cost
  • 14. HIGH PERFORMANCE REINFORCEMENT LIMITATIONS • Higher Processing Temperatures & Pressures • Machine Wear • Lower Impact Strength • Anisotropic Properties • Loss of Transparency • Finish • Cost • Higher Specific Gravity
  • 16. REINFORCEMENT •High Performance Reinforcement Continuous Fibers Volume Loading •Low Performance Reinforcement Short Fibers Particulate Reinforcing Fillers Volume Loading
  • 17. HIGH PERFORMANCE REINFORCEMENT MECHANICAL STRENGTH Depends on amount, type & arrangement of fibers CHEMICAL,ELECTRICAL & THERMAL PROPERTY Depends on choice of matrix, formulation & other additives
  • 18. HIGH PERFORMANCE REINFORCEMENT ARRANGEMENT OF FIBERS • Unidirectional - 80% loading by weight possible Continuous Pultrusion • Bidirectional - 75% loading by weight possible Hand Lay up • Multidirectional – 10 to 50% loading by weight possible Compression & Injection Molding Spray, Preform, Pressure Bag
  • 21. HIGH PERFORMANCE REINFORCEMENT Unidirectional Reinforcement Longitudinal Response Assumptions: • Isostrain conditions (ε of composite = ε of fiber = ε of matrix) • Matrix & Fibers are elastic • Poisson ratio of matrix = Poisson Ratio of Fiber F Composite =ⁿ∑F Fiber + F Matrix Force = Stress (σ) x Area (A) Ασ(Composite) =n Ασ(fiber) + Ασ(Matrix) Volume (Vc) Composite = n Volume (Vf) Fiber + Volume (Vm) Matrix Volume Fraction of Matrix Φm =Vm ∕ Vc Volume fraction of Fiber Φf = nVf ∕ Vc Φm = 1 - Φf
  • 22. HIGH PERFORMANCE REINFORCEMENT Volume = Length x Area Length of composite = fiber = matrix σc = Φfσf + (1 - Φf )σm Under isostrain conditions ε of composite = ε of fiber = ε of matrix σc∕ εc = Φf σf ∕ εf+ (1 - Φf )σm ∕ εm Ec = Φf Ef + (1 - Φf )Em Limitation of Assumptions Micro cracks, Voids Perfect adhesion between fiber & matrix Practical: k Fiber utilization efficiency K Critical Volumetric Fraction σc =K{Φf}σf + (1 - Φf )σm
  • 23. HIGH PERFORMANCE REINFORCEMENT Transverse Direction Assumption: • Isostress Conditions • Fiber & Matrix are elastic • Poisson Ratio of Fiber & Matrix are equal Strain terms are additive Vcεc = nVf εf + Vmεm εc = Φfεf + (1 - Φf )εm Under isostress conditions σc = σf =σm Jc = ΦfJf + (1 - Φf )Jm 1/Ec = Φf/Ef + (1 - Φf )/Em Ec = Ef Em/Φf/Em + (1 - Φf )/Ef
  • 24. HIGH PERFORMANCE REINFORCEMENT Angular Orientation of the Fibers Three possible modes of failure 1.Fracture at right angles to the fiber axis [σc]θ= [σc]n Cos2 θ 2.Failure in the Shear plane ║ to Fiber due to debonding or matrix failure [σc]θ = τm ∕sin θ cos θ 3.Tension failure of matrix ║ to fiber [σc]θ = [σc]90 ∕ sin2 θ
  • 25. HIGH PERFORMANCE REINFORCEMENT Randomly Oriented Fibers [Eθ]c = ∫[Eθ]c dθ ∕ ∫ dθ Integrate 0 to π ∕ 2 By simple law of mixture Eθ = FΦf Ef + (1 - Φf )Em F = Fiber efficiency factor – function of fiber volumetric fraction & ratio of modulus of fibers to that of matrix F is in the range of 0.15 – 0.60