LONETTI P. - Dynamic Crack Propagation in Fiber Reinforced Composites (COMSOL 2009)
Composites 2009
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Transcript of Composites 2009
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Definition: Composites are a group of materials from from themixture of metals, ceramics and/or polymers in such a way that
unusual combinations of properties are obtained.
The major classes of composites are:
- fibre reinforced polymer matrix composites (FRP)- fibre reinforced metal matrix composites (MMCs)
- fibre reinforced ceramic matrix composites (CMCs)- hybrid composites
By far, the most commonly used composite is FRP. MMCs areused sparingly and CMCs are used in high-temperature aircraft
applications (eg. brakes, nose cones).
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FRP composites basically consist of fibres embedded in apolymer matrix.The fibres can be in the forms of short particles, whiskers orcontinuous fibres. The fibres are typically 7-15 m in diameter.The fibres provide the composite structures with their importantengineering properties, such as stiffness, strength and fatigue
resistance.
The types of fibres used in aircraft composites are:
- high modulus or high strength carbon (graphite)- Kevlar (Aramid)
- E- and S-glass- Boron
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Continuous Fibres
Short Fibres/Whiskers
Composites consist of a
matrix phase &
reinforcement phase
The matrix phase is the
continuous phase & the
reinforcement phase
contains dispersedparticles.
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The functions are of the resin matrix are to:bind the fibres together into a solid materialact as a load transfer medium between the fibres and resinprotect the fibres from environmental effects such as moisture,
chemical corrosion, oxidation, abrasion and impact, which can
led to embrittlement and failure.
The resin has a strong influence on:
compressive properties transverse properties impact properties service operating temperature.
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Main reasons for using composites: light-weight high specific stiffness & strength good to excellent fatigue resistance good formability into near net shaped complex structures tailored design to maximise structural performance radar absorbing properties (stealth)
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Sound damping Thermal and electricalinsulation
Impact energy absorption Corrosion resistance
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Composites used in leisure & commercial marine craft. Main applications:
- Canoes & kayaks - Jet skis- Lifeboats - Dinghies- Powerboats - Patrol boats- Yachts - Fishing Trawlers- Passenger Ferries - Structures for large ships
Main reasons for using composites are: reduced weight: increased speed & reduced fuel consumption
reduced corrosion improved vibration & noise damping.
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Carbon/graphite fibres:Carbon fibres consist of 93-95% carbon.Graphite fibres consist of more than 95% carbon.Carbon fibres are ~8 m in diameter.Carbon/graphite fibres occur in three forms:
High tensile strength fibres: = 2.41 GPa; E = 207 GPaHigh modulus fibres: = 1.38 GPa; E = 345 GPaUltra high modulus fibres: = 1.03 GPa; E = 483 GPaCarbon fibres are expensive: AUD200-600 per kg.
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2003Brooks/Cole,adivisionofThomsonLearning,Inc.ThomsonLearningisatrademarkusedherein
underlicense.
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Mohr,J.G. & Rowe,W.P. Fiberglass. van Nostrand Reinhold, New York (1978)
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2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning is a trademark used herein under license.
Kevlar is an organic molecular fibre made by DuPont.
It is an extremely tough, bullet proof fibre that is used for personnel
protection on military and armoured structures.The fibers are joined by van der Waals bonding between oxygen and
hydrogen atoms on adjoining chains.
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2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning is a trademark used herein under license.
Sandwich - A composite material constructed of a lightweight,
low-density material surrounded by dense, solid layers. The
sandwich combines overall light weight with excellent stiffness.
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Metallic laminates have a unique combination of- high specific strength,- high specific stiffness,- corrosion resistance,- fatigue resistance,- fracture toughness and- light-weight.
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Two hybrid composites are ARALL and GLARE:ARALL consists of aluminium alloy sheet bonded to a ply ofKevlar(Aramid) reinforcing with an epoxy matrix.GLARE consists of aluminium alloy sheet bonded to a ply ofglassreinforcing with an epoxy matrix.
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Strong/Stiff
Weak/Compliant
Weak/Compliant
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density of fibres density of matrix phase
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Composites are strong in fibre directionComposites are weak in transverse fibredirectionWhat material properties determine the
strength in the two directions?
Strong/Stiff
Weak/Compliant
Weak/Compliant
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Consider a unidirectional composite (with all the fibres alignedin the same direction) loaded in uniaxial tension:
The Youngs modulus in the fibre direction, E1, can be
estimated using a rule-of-mixtures:
Ef>> E
m
Therefore for maximum stiffness you
need high modulus fibres and a large
amount of fibres.
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Effect of volume fraction of fibres on Youngs modulus of
two glass/polyester composites
The two ways to increase
Youngs modulus are:
-Use high stiffness fibres-Maximise fibre volume
content
Where does the curve
cross the Y-axis?
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The Youngs modulus in the transverse direction, E2, can beestimated using rule-of-mixtures:
Weak/Compliant
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:
:
The in-plane tensile strength,
1, can be estimatedusing rule-of-mixtures:
fis the tensile strengths of fibresmis the tensile stress acting on thematrix when the fibres fail.
The equation shows that maximisingthe fibre strength and fibre contentwill increase composite strength
1
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Other mechanical properties of unidirectional composite loaded inuniaxial tension can also be estimated using rule-of-mixtures:
Poissons Ratio:
In-plane Shear Modulus:
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For a fibre volume fraction of 0.6, determine the density,modulus and transverse modulus and tensile strength of the
boron fiber-aluminium composite.
Comment on the difference in values. Why are
normal and transverse modulus so different?
An example like this will guaranteed be in the exam!
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Rule-of-mixtures can not be used to calculate all properties.
It cannot be used to predict such properties as:
- compressive strength- ductility- impact properties- fatigue properties- creep resistance
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2003Brooks/Cole,adivisionofThomsonLearni
ng,Inc.ThomsonLearningisatrademarkusedhereinunderlicense.
Effect of Fibre Orientation
Stress-strain curves
very different
for different fibre orientations.
Draw the stress-strain curve
for 0 and 90 degree plies.
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2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning is a trademark used herein under license.
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Fibres are wound on a frame (unidirectional)
Resin is applied and rolled into fibres to ensure wetting
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Mostly for aerospace
applications, we can buy
carbon/epoxy pre-preg.
The resin is partiallycured, with the final curing
after lay-up undertaken in
the autoclave.
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Fibre breaks accumulate
in composite. Fibres fail at
different times due tovarying strength.
The matrix transfers the
load between neighbouring
fibres and around fibre
breaks.
Figures from Hull, 1981, p.134
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Figures from Hull, 1981, p.157
Kinking of brittle fibres
(Carbon)
Kinking of ductile fibres
(Kevlar)
Onset of
fibre buckling
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Figures from Hull, 1981, p.152
Cracking along fibre matrixinterface (depends on bonding
strength), crack development
stable if other layers support it.
SEM pictures of crack growth in composite
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Delaminationcommonly occurs
when applying
through-thickness
stress or after impactdamage.
Composites should not
be designed to carry
through-thicknessstress.
S. Feih, PhD thesis, Cambridge University,
UK, 2001
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Further Reading
DR Askeland, The Science & Engineering of Materials, Stanley Thomas
(Publishers) Ltd, Chapter 17.
D Hull, Introduction to Composite Materials, Cambridge Solid State
Science Series, 1981
Internet has lots of good web-sites on engineering polymers.