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Welcome Scientists!
at the University of Applied Sciences Augsburg
at the Faculty of Mechanical and Process Engineering
Lecturer: Prof. Ulrich Thalhofer
www.hs-augsburg.de/~thalhof
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Short Introduction to CFRP and Simulation
1 Carbon Fiber Reinforced Plastic 2 Simulation
Contents of this lecture
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1 Carbon Fiber Reinforced Plastic1.1 What it is
commons.wikimedia.org
www.carbonmods.co.uk
en.wikipedia.org
img27.fansshare.com
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1 Carbon Fiber Reinforced Plastic1.1 What it is
mt-aerospace.com
compositesworld.com
zoltek.com
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1 Carbon Fiber Reinforced Plastic1.1 What can be done with it
reitturniere.de
bicycledesign.net
augsburger-allgemeine.de
commons.wikimedia.org
amazon.de
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1 Carbon Fiber Reinforced Plastic1.1 What can be done with it
zeit.de
flugrevue.de
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1 Carbon Fiber Reinforced Plastic1.3 Why we use it
steel 7,85 g/cm³
CFRP 1,5 g/cm³
tcs-ren.de
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1 Carbon Fiber Reinforced Plastic1.3 Some more Properties
ndt.net
Steel or aluminum:
In all directions the same properties
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1 Carbon Fiber Reinforced Plastic1.4 Examples
0°
90°
0.02 mm
100 x 100 x 0.4
Upper side constrained,load 1000 N
2.1 mm
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1 Carbon Fiber Reinforced Plastic1.4 Examples
45°
1.14 mm
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1 Carbon Fiber Reinforced Plastic1.4 Examples
2 Layers: 0°90°
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2.1 Circle or Quad
2 Numerical Methods
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2.2 Surfaces
Surface area = 20
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Surface area = 8
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How large is the area?
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Is it a litte bit easier now?
area = 6.9
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How can it be done by a computer?
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Smaller surfaces - better results!
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2.3 And now lets look at a 3D-structure
V = 31 415,9 mm³
m = 0,247 kg (steel)
volume of a cylinderradius = 10 mmlength = 100 mm
mass?
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Approximated:
V = 30 901,7 mm³
m = 0,243 kg (steel)
Using small tetrahedons
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a litte bit more complicated ...
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exact: V = 22 047 mm³ m = 0,1731 kg
approximated: V = 22 023 mm³ m = 0,1729 kg
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2.4 Finite Elements for calculating the behaviour of real structures
bridge
Model of the bridge
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pupil
lecturer
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2400 x 300 x 30 mm
Force (weight)
support
support
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2400 x 300 x 60 mm
force (weight)
support
support
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There is a relationship between
force and displacement
force = k ⋅ displacement ( F = k ⋅ u )
k = stiffness factor
is k large than u gets smaller
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k depends on ...
material ?
geometry?
wood, steel, CFRP
Thicker structure , ...