numerical simulation of mid-ir ultrasound testing in cfrp · numerical simulation of mid-ir...
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Numerical simulation of mid-IR ultrasound testing in CFRP
Kanae Oguchi1*, Manabu Enoki1
Hisashi Yamawaki2, Masahiro Kusano2, Makoto Watanabe2
1Department of Materials Engineering, The University of Tokyo, Japan
2Optical & Electronic Materials Unit, National Institute for Materials Science (NIMS), Japan
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Contents
Mid-IR LUT system
• Sample surface effect on ultrasonic wave
• Computer simulation
Computer simulation of non-linear ultrasound method for closed defect
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Carbon-fiber-reinforced plastic(CFRP)
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Laser ultrasound Testing
• Non-contact operation • Non Destructive Testing • Freedom in shape of sample
Feature of LUT
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• Smaller light weight solid state light source which generate a ultrasound efficiently in CFRP is desirable !
Conventional ultrasound laser sources
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Dubois et al. ultrasonics, Vol40-p809 (2002)
Suitable wavelength of a laser for LUT in CFRP
Wavelength of 3.2mm seems the best !
Developed a 3.2 mm laser by wavelength conversion device
CO2 Laser
• 3.2 mm laser is NOT available in the market
Optical depth vs. Laser wavelength
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Wavelength conversion by OPO
-Z
Y 5m
m
+Z
Periodically-poled structure of wide aperture device Optical Resonator
PP-MgSLT crystals
(NIMS-original device)
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Mid-IR LUT system
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Contents
Mid-IR LUT system
• Sample surface effect on ultrasonic wave
• Computer simulation
Computer simulation of non-linear ultrasound method for closed defect
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Sample surface effect
Mid-IR YAG
epoxy thickness[mm] 0-130 0-130
Fluence[J/cm2] 0.051 0.059
Without Coating With Epoxy coating
Wave detection point
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Sample surface effect
YAG Mid-IR
Without coating
40mm-t coating
• Epoxy coating increase the amplitude of ultrasonic
• Mid-IR laser can generate the strong ultrasonic compare to the YAG laser
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• ultrasonic amplitude increased with the epoxy thickness until around 50μm and reached to a constant value
• maximum amplitude of YAG laser was less than half of the mid-IR laser
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C-scan Images with mid-IR laser
C-scan images of the CFRP samples including the PTFE plate
• Coated sample shows the significant SNR improvement !
5mm 1mm
Artificial defect (PTFE)
Without coating 40mm coating
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Contents
Mid-IR LUT system
• Sample surface effect on ultrasonic wave
• Computer simulation
Computer simulation of non-linear ultrasound method for closed defect
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Ultrasound testing for closed defect
• traditional ultrasonic techniques are only sensitive to open defects
defects in laminar composites where the surfaces of the laminates are in close physical contact with each other, but there is little to no bonding strength between the surfaces
Non-Linear ultrasound method
delamination
Open crack
Micro crack
Kissing bonds
Kissing bonds
various type of defect in CFRP
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Non-linear ultrasound method
conventional method
Non-Linear ultrasound method
transmitting Incident wave
Frq.
Amp.
A
Open defect
f
f
A
f
closed defect
closed defect
Defect!
Without Defect
f0
A0
A0
A0
f0
f0 f2 f3
f
A
Defect!
Large amplitude wave
f0
f0
f0 fundamental component
f2 2nd harmonic component f3 3rd harmonic component
Amplitude Change
Frequency Change
A1
Elastic
wave
Non-linear elastic response
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Previous report:
Fatigue damage
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1D solid model with closed defect
Unit cell with
closed defect T, C, r, S V, d
Strain of unit cell with closed defect
Elastic
wave
Compressive stress, Tcomp≦ 0
0/ CTS compc
0cS
0cS
0cS
)0( compTS : strain
T : stress
C : stiffness
Input signal
Governing Equation
Material Properties for Fe
r=7650,C=274GPa
x
T
t
v
r
x
vC
t
T
C=0 T=0
C=C0
Input signal :
Frequency, f: 5MHz
)2cos(2/ ftTamp
Tamp : -1Pa -100Pa
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2D simulation with closed defect
2D solid model with closed defect of 4mm
Incident signal: frequency: 5MHz, wavelength: 1.2mm, amplitude: -3Pa
500×500, Δx=40μm, Δt=2.5ns
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Displacement wave foam
Transmission wave
Incident wave
Time (s)
Dis
pla
ce
me
nt (m
)
2D simulation
Incident signal: frequency: 5MHz, wavelength: 1.2mm, amplitude: -3Pa
500×500, Δx=40μm, Δt=2.5ns
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conclusion
• The epoxy coating on CFRP sample surface dramatically
increase the ultrasound amplitude which lead to the significant
SNR improvement
• Maximum amplitude of ultrasound generated by mid-IR lase is
abut twice the size of that by YAG laser.
• Laser ultrasound propagation model in CFRP laminate with
epoxy coating is developed, and the simulation results is good
agreement with the experimental data.
• 2D solid model with closed defect is developed, and confirmed
the saw-like shaped transmission wave containing the second
and third harmonic component.