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7 Electromagnetic Acoustic Transducers (EMATs)
7.1 EMAT Principles 7.2 EMAT Instrumentation 7.3 EMAT Applications
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Quartz (silicon dioxide, SiO2)
Piezoelectricity Quartz (silicon dioxide, SiO2)
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Electromagnetic Acoustic Transducers
(EMATs) Key Features: non-contact/no couplant multiple wave modes (including SH) Disadvantages: low sensitivity requires special electronics material dependent Advantages: easy automation high speed scanning high reproducibility high-temperature inspection minimal wear less surface preparation required easy to customize
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7.1 EMAT Principles
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Principle #1: Lorentz Force
Ampère's law: Faraday's law: Ohm’s law: Lorentz force: Je conducting medium Hp He Ip Transmission (I F) Reception (v V): F B0 I v V
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Principle #2: Magnetization
Fm magnetic force µ0 permeability of free space V volume M magnetization H magnetic field y height χ magnetic susceptibility electromagnet Fm specimen y no bias some bias strong bias Time Signal Time Signal Time Signal excitation current magnetization force
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Principle #3: Magnetostriction
Spontaneous magnetostriction: H = 0 2 4 6 Magnetic Field [104 A/m] low-carbon steel Magnetostriction [10-6] -20 -10 -30 -40 10 Fe Co Ni Induced magnetostriction: H
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7.2 EMAT Instrumentation
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tangential polarization
EMAT Polarization high coupling: “surface” traction: magnetic force: tangential polarization normal polarization Je B0 n I t
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Normal-Beam EMATs spiral coil radially polarized shear wave
rectangular coil linearly polarized shear wave symmetric coil longitudinal wave B0 S N S N B0 N S B0
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Angle-Beam Shear EMATs
periodic permanent magnet horizontally polarized shear wave S N L q B0 meander coil vertically polarized shear wave
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EMAT Electronics EMATs with permanent or electromagnets driver amplifier oscillator + _ Vs matching network specimen 7-turn, 10-mm-diameter spiral coil on ferritic steel 0.5 1 1.5 2 2.5 3 Frequency [MHz] 4 6 8 10 12 14 16 18 20 Impedance [Ω] resistance reactance
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Impedance Matching transformer (κ ≈ 1) I N V F
2 V F 11 22 12 21 , ideal transformer (κ = 1)
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7.3 EMAT Applications
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Texture Assessment by EMATs
cold-pressed 2024 aluminum, 1.4 MHz, EMAT transmitter receiver Rayleigh wave Textured Specimen cavg = 2,850 m/s, 0.2% per division, η = (cmax – cmin)/cavg η 0% (annealed) η = 0.45 % η = 0.8 % η = 1.6 %
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High-Temperature Monitoring
SiC/Ti-6Al-4V composite (Ogi et al., 2001) 60 55 50 45 40 35 30 25 20 200 400 600 800 1000 Temperature [K] Stiffness [GPa] C44 C66 230 210 190 170 150 130 C11 C33
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Electromagnetic Acoustic Resonance
(Hirao and Ogi et al., 2003) SCM 440 steel pure titanium Stress [MPa] 0.05 -0.05 -0.10 Birefringence [%] as-received quenched & tempered annealed -120 -80 -40 Stress [MPa] -1.0 -1.1 -1.2 Birefringence [%] load unload 50 100 150 couplant PZT specimen EMAT
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