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Primary and secondary magnetic field. Eddy current on the test piece (adapted from [14]).

Primary and secondary magnetic field. Eddy current on the test piece (adapted from [14]).

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Non-destructive techniques are used widely in the metal industry in order to control the quality of materials. Eddy current testing is one of the most extensively used non-destructive techniques for inspecting electrically conductive materials at very high speeds that does not require any contact between the test piece and the sensor. This paper in...

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... an alternating energized coil of impedance approaches an electrically conductive non-ferromagnetic material, the primary alternating magnetic field penetrates the material and generates continuous and circular eddy currents. The induced currents flowing within the test piece generate a secondary magnetic field that tends to oppose the primary magnetic field, as shown in Figure 1. This opposing magnetic field, coming from the conductive material, has a weakening effect on the primary magnetic field. ...
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... hundred or two hundred are typical values of relative permeability. Figure 10 shows two magnetization curves of unannealed and annealed steel and plots the relation between B and H fields [26]. The relationship between H and B is not linear and presents hysteresis in ferromagnetic materials. ...
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... first part of the curve has the greater slope, and the second part has the smaller slope [27]. Saturation state is reached when the increase of H causes very little increase in B, as Figure 10 indicates. ...
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... following subsection explains this phenomenon. Figure 10. B-H curve in high nickel steel (adapted from [26]). ...
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... the normalized impedance plane of Figure 11, the lift-off curves start at the air point , when there is no test piece. In this case, air point is instead of as discussed in the previous section because a different transformation in the Y-axis has been used as shown in Equation (17). ...
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... Figure 11 plots lift-off lines in steps of 0.1 mm. The impedance values are plotted using triangles. ...
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... some cases, when measuring the thickness of non-conductive coatings over metal, lift-off is employed as a useful property. Figure 11 demonstrates that when the test piece is closely adjacent to the coil probe, the triangle separation is larger than when the test piece is further away. This means that the resolution to measure non-conductive coatings is greater for thin coatings [33]. ...
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... means that the resolution to measure non-conductive coatings is greater for thin coatings [33]. Figure 11. Lift-off in steps of 0.1 mm (triangle) and tilt in steps of 10 (round) for a normalized impedance plane (adapted from [33]). ...
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... presented an analytical model of wobble in heat exchanger tube inspection with bobbin coils [34]. Figure 12 illustrates the offset position of the tube inside the bobbin coils. Wobble simulation: a bobbin coil in an offset position to a tube (adapted from [34]). ...
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... technique can be applied to the measurement of metal thickness beneath non- conductive coatings and to the measurement of microstructure and strain/stress, where the output is highly sensitive to the lift-off effect. They proposed an approach using two reference signals calculated in two stages as Figure 13 shows. Figure 13. ...
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... proposed an approach using two reference signals calculated in two stages as Figure 13 shows. Figure 13. Diagram block using normalization to reduce lift-off effect (adapted from [31]). ...
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... is the reciprocal of conductivity . As an example, Figure 14 illustrates the electromagnetic field penetration inside aluminum at two different frequencies (200 Hz and 10 kHz) [38]. Typical values of standard penetration depth for pure aluminum are 5.99 mm at 200 Hz and 0.847 mm at 10 KHz. . ...
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... authors such as Guang et al. presented a system for the inspection of aircraft structures [43]. The system generated pulse excitation that energized a planar multi-line coil of Figure 15(a). The transient field was detected via a giant magnetoresistive GMR field sensor placed on the line of symmetry at the center of the source coil. ...
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... the absence of discontinuities, the normal component of the magnetic field was zero at the center of the source coil. When the uniform distribution of the induced currents was distorted by a rivet and/or crack as sketched qualitatively in Figure 15(b) the zero field on the line of symmetry was destroyed and a nonzero transient signal of the normal component was measured by the GMR sensor. [43]). ...
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... researchers such as Abidin et al. studied the influence of duty cycle in pulses testing rivet joints [53]. Figure 16 [53]). (b) Spectrum distribution under different pulse widths (adapted from [53]). ...
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... most widely-used probes encircle the test piece in eddy current testing. These probes are commonly used to test bars or tubes either externally or internally and are shown in Figures 17(a,c). ...
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... coils are sensitive to parallel discontinuities to the axis of the tube or bar as eddy currents describe radial circumferences in an opposing sense of currents around the energized coil current, as shown in Figure 17(b). Internal encircling coil probes permit internal testing of tubes. ...
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... encircling probes usually test heat exchanger tubing at power plants at a constant rate of speed. Figure 17(c) shows an internal coil probe for ferromagnetic inspection [58]. [58]). ...
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... types of sensors are used in flat surface inspection. The eddy currents on the test piece are circumferences parallel to the surface as Figure 18(a) illustrates. When a penetrating crack occurs on the surface, current flow is strongly altered and the crack can be detected. ...
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... probes can also automatically detect longitudinal cracks in tubes or bars using a rotating system. The eddy current probe rotates at a high speed around the test material, which is moved longitudinally, and scans its surface helically as Figure 18(b) illustrates [60]. ...
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... compensate for this disadvantage, absolute mode probes are incorporated along with differential ones to detect the presence or absence of weld seams and long cracks. Figure 19(a) shows a horseshoe-shaped coil, which is useful in the detection of laminar flaws. The authors Placko et al. used this type of probe to inspect graphite composite materials [12]. ...
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... authors Placko et al. used this type of probe to inspect graphite composite materials [12]. The magnetic flux penetrates parallel to the surface, and the eddy currents encircle the magnetic flux lines in the test piece as Figure 19 (a) shows. Laminar flaws alter eddy current flow significantly, which explains their high sensitivity to them. ...
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... authors have tested spiral coils in eddy current testing. Ditchburn et al., for instance, presented the detection of long cracks in steel using the probe shown in Figure 19(b) [39]. Eddy currents describe circumferences on the test piece surface. ...
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... authors asserted that spiral coils offered attractive features in terms of sensitivity. Arrays of coils create electromagnetic eyes used in eddy current testing as Figure 19(c) illustrates. Coil matrices permit 2D image extraction and the use of image processing techniques. ...
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... simplest absolute probes consist of a single coil that generates eddy currents and senses changes from the eddy current field as Figure 21(a) shows. Absolute probes provide an absolute voltage signal as Figure 21(b) illustrates. ...
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... simplest absolute probes consist of a single coil that generates eddy currents and senses changes from the eddy current field as Figure 21(a) shows. Absolute probes provide an absolute voltage signal as Figure 21(b) illustrates. The disadvantage of these coil probes is their high sensitivity to temperature variations. ...

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... The need to detect defects in aviation components is critical, aiming to preclude catastrophic failures and ensure the optimal performance of aircraft systems. In light of this, the demand for advanced non-destructive testing (NDT) techniques is constantly increasing, and specific materials and objects require their ongoing development [1][2][3]. ...
... , (2) where T ECP , T ECA represent the total inspection time of the test object using a single-element eddy current transducer (ECP) and ECA, respectively. To account for the scanning trajectory of the test object with a single-element ECP and ECA, let's assume that the width of the test object (or the inspected area of the test object) coincides with the width of the array [10]. ...
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... ECT relies on the interaction between a primary magnetic field and the test material, inducing eddy currents within the object. These currents can reveal discontinuities such as cracks, corrosion, and material degradation, which are detected by monitoring changes in coil impedance or measuring the induced magnetic field [1]. ECT offers a high level of sensitivity for identifying materials and assessing microstructural states [2]. ...
... In eddy current testing, the impedance parameterŻ 0 for each coil is a complex number, defined as in Equation (1), which represents the ratio of the voltage to the current (V 0 /I 0 ) under a single-frequency harmonic excitation f [1]: ...
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... Authors such as Peng et al. [12] have used differential coils to detect surface cracks in aluminum plates by measuring the variations in the inductive and resistive components of the coil. However, the sensitivity of coils is much lower than the sensitivity of the current magnetic sensors, so EC-NDE techniques that use these magnetic sensors are more reliable than the classical techniques [13,14]. Giant magnetic resistance (GMR) sensors are the most popular magnetic sensors used to develop EC-NDE systems [13,15,16]. ...
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