Non-Destructive Testing of Aircraft Structures Using Microwire-Based Tensile Stress Sensor

Featured Application: The developed microwire-based tensile stress sensor represents an original solution which can be used for the tensile stress measurement of various types of materials, including aircraft structures. The main advantage of the designed sensor is that the measurement can be contactless and the sensitive part of the sensor (microwire) can be embedded directly into the composite material. Abstract: The development of non-destructive methods for material testing and diagnostics has been, in the last few decades, focused mainly on optical, infrared, thermography, ultrasonic, acoustic or X-ray principles. This article deals with the possibility of adaptation of magnetic sensors for the diagnostics of aircraft structures. The developed sensors are based on the enhanced induction method, allowing contactless diagnostics of the material structure. In the role of the sensing element, amorphous magnetic microwires were used. Thanks to their dimensions, microwires can either be placed on the material surface or be embedded directly into the composite material without structural violations. In the article, the measurement principles of the developed microwire-based tensile stress sensors, together with the experimental measurements with the sensors originally tested in the aircraft wing, are presented.


Introduction
Periodic monitoring and testing of materials and structures is very important for many industrial applications. Considering the aviation industry, namely regarding the fatigue of aircraft structures, prevention is particularly important, because cracks and damage can lead to dangerous situations, even to aircraft accidents. This is particularly true for the composite materials that are nowadays commonly used in aviation, where, due to the structure of composite materials consisting of two or more layers, produced from different materials with dissimilar chemical and physical properties, which are merged together, dangerous detachments of the layers can occur suddenly. The increased use of advanced composite materials in primary aircraft structures has initiated a discussion of how such structures perform under repeated loading, since there are many clear differences between composite and metal materials. This is the reason that multiple methodologies associating a specific design and loading scenario with an accurately predicted number of cycles to failure with an associated reliability level and considering the particularities of degradation of structural properties in composite materials, together with enhanced methods, have been developed. Research in the area of NDT (Non-Destructive Testing) has been mainly focused on the need to monitor their state in order to prevent critical damage.
for utilization also in sensorics, where microwires can be used as a sensing element in a microwirebased sensor. Their advantages are fabrication rate, manufacturing price and the fact that, during the fabrication process, various chemical compositions and dimensions, which strongly influence the resulting physical properties (for example, coercivity, magnetic anisotropy field or magnetic permeability), can be prepared. For the purposes of the tensile stress sensor design, amorphous glass-coated microwires with a high and positive magnetostriction constant were used. The domain structure in this case consists of one axial magnetic domain in the middle of the wire, whereas the cover is formed by the radial domains and closure domains, which are at the end of the wire. This structure means that the magnetization can switch between the states of positive and negative saturation through the single Barkhausen jump at the value of the magnetic field, called the switching field. This field is a carrier of information not only about the value of the external magnetic field, but it can be used also for the tensile stress calculation. These microwires are characterized by a rectangular bistable or orthogonal hysteresis loop. The mathematical model involving the mechanical properties is described in detail in [46]. In our case, in the role of the sensing element, a microwire with the chemical composition Fe77.5Si7.5B15 (Figure 1b) was used. Sensitivity as determined from the sensor transfer characteristics obtained from the measurements performed in laboratory conditions was 0.20037 A·m -1 ·MPa -1 .

Theory
The magnetic properties of the microwires are determined mainly by the magnetoelastic interaction of the magnetic moments with the mechanical stresses, which results in the fact that the microwires are sensitive to the tensile stress. Due to the different thermal expansion coefficients of the microwire core and of the glass coating, additional mechanical stresses are created. Therefore, the temperature dependence of the switching field must be considered. In addition to these properties, the structural relaxation and its temperature dependence, together with its sensitivity to the applied excitation frequency of the magnetic field, must also be considered. Thanks to the knowledge of these dependencies, it is possible to measure the selected physical quantities.
Considering the tensile stress sensor and constant frequency, the magnetoelastic interaction characterizing the dependence of the switching field Hsw of the microwire can be described as: , (1) where A is the exchange constant, MS is the saturation magnetization, λS is the saturation magnetostriction, µ0 is the magnetoelastic permeability of the vacuum and σ is the total mechanical tensile stress. The total mechanical tensile stress is given by the mechanical tensile stress resulting from the manufacturing process σi, mechanical tensile stress caused by the different thermal expansion coefficients of the microwire core and of its coating σΔ and finally by the external mechanical tensile stress σa: For the purposes of the tensile stress sensor design, amorphous glass-coated microwires with a high and positive magnetostriction constant were used. The domain structure in this case consists of one axial magnetic domain in the middle of the wire, whereas the cover is formed by the radial domains and closure domains, which are at the end of the wire. This structure means that the magnetization can switch between the states of positive and negative saturation through the single Barkhausen jump at the value of the magnetic field, called the switching field. This field is a carrier of information not only about the value of the external magnetic field, but it can be used also for the tensile stress calculation. These microwires are characterized by a rectangular bistable or orthogonal hysteresis loop. The mathematical model involving the mechanical properties is described in detail in [46]. In our case, in the role of the sensing element, a microwire with the chemical composition Fe 77.5 Si 7.5 B 15 (Figure 1b) was used. Sensitivity as determined from the sensor transfer characteristics obtained from the measurements performed in laboratory conditions was 0.20037 A·m −1 ·MPa −1 .

Theory
The magnetic properties of the microwires are determined mainly by the magnetoelastic interaction of the magnetic moments with the mechanical stresses, which results in the fact that the microwires are sensitive to the tensile stress. Due to the different thermal expansion coefficients of the microwire core and of the glass coating, additional mechanical stresses are created. Therefore, the temperature dependence of the switching field must be considered. In addition to these properties, the structural relaxation and its temperature dependence, together with its sensitivity to the applied excitation frequency of the magnetic field, must also be considered. Thanks to the knowledge of these dependencies, it is possible to measure the selected physical quantities.
Considering the tensile stress sensor and constant frequency, the magnetoelastic interaction characterizing the dependence of the switching field H sw of the microwire can be described as: where A is the exchange constant, M S is the saturation magnetization, λ S is the saturation magnetostriction, µ 0 is the magnetoelastic permeability of the vacuum and σ is the total mechanical tensile stress. The total mechanical tensile stress is given by the mechanical tensile stress resulting from the manufacturing process σ i , mechanical tensile stress caused by the different thermal expansion coefficients of the microwire core and of its coating σ ∆ and finally by the external mechanical tensile stress σ a :

Measurement Method
The measurement is based on the enhanced induction methodology, where, for the excitation, the triangular-shaped magnetic field generated by the excitation coil is used. The sensing part is represented by the sensing coil used for the detection of the induced voltage peak caused by the domain wall motion. The microwire is alternately excited to the positive and negative values of the excitation magnetic field, which must be large enough to overcome the switching field of the microwire in the local field, e.g., the minimum is twice the local stationary Earth's magnetic field magnitude generally. In the moment when the local magnetic field achieves the switching field value, the domain wall is propagated, and it travels from one end of the microwire to the other through the whole volume of the microwire. This domain wall motion causes the creation of a voltage peak in the sensing coil and the process is repeated with the opposite polarity-see Figure 2.

Measurement Method
The measurement is based on the enhanced induction methodology, where, for the excitation, the triangular-shaped magnetic field generated by the excitation coil is used. The sensing part is represented by the sensing coil used for the detection of the induced voltage peak caused by the domain wall motion. The microwire is alternately excited to the positive and negative values of the excitation magnetic field, which must be large enough to overcome the switching field of the microwire in the local field, e.g., the minimum is twice the local stationary Earth's magnetic field magnitude generally. In the moment when the local magnetic field achieves the switching field value, the domain wall is propagated, and it travels from one end of the microwire to the other through the whole volume of the microwire. This domain wall motion causes the creation of a voltage peak in the sensing coil and the process is repeated with the opposite polarity-see Figure 2. The main enhancement of this method is in the measurement of the time intervals T + and T − as the carriers of information about the measured tensile stress, when the voltage peaks occur (during the positive and negative magnetization process, respectively). Although the time can be measured with high accuracy, in this way, it is possible to obtain much more precise measurement results.
For the value of the switching field, the following relationship can be written: where HM is the maximum value of the intensity of the switching field and T is the half period of the excitation field. The intensity of the external magnetic field H0 can be determined according to the following relationship: From these relationships and from Figure 2, it is obvious that measurement of the time intervals T + and T − can be used for the determination of the microwire switching field Hsw and also for the intensity of the external magnetic field H0. Therefore, the described principle can be applied for the measurement of multiple physical quantities. Considering the mechanical tensile stress measurement, the measurement of the Hsw is crucial.
For the tensile stress measurement, the electronics based on the VEMA 040 magnetometer was used. This is a four-channel vector relaxation magnetometer with simultaneous sampling using the time interval measurement for the determination of the measured physical quantity manufactured The main enhancement of this method is in the measurement of the time intervals T + and T − as the carriers of information about the measured tensile stress, when the voltage peaks occur (during the positive and negative magnetization process, respectively). Although the time can be measured with high accuracy, in this way, it is possible to obtain much more precise measurement results.
For the value of the switching field, the following relationship can be written: where H M is the maximum value of the intensity of the switching field and T is the half period of the excitation field. The intensity of the external magnetic field H 0 can be determined according to the following relationship: From these relationships and from Figure 2, it is obvious that measurement of the time intervals T + and T − can be used for the determination of the microwire switching field H sw and also for the intensity of the external magnetic field H 0 . Therefore, the described principle can be applied Appl. Sci. 2020, 10, 8218 5 of 14 for the measurement of multiple physical quantities. Considering the mechanical tensile stress measurement, the measurement of the H sw is crucial.
For the tensile stress measurement, the electronics based on the VEMA 040 magnetometer was used. This is a four-channel vector relaxation magnetometer with simultaneous sampling using the time interval measurement for the determination of the measured physical quantity manufactured by the EDIS vvd company, through which the applied research performed at the Department of Aviation Technical Studies has been launched in the industry. The control electronics is based on a CPLD (Complex Programmable Logical Device) with a resolution of 10 ns. For the microwire excitation and for the microwire response sensing, the coil system involving the excitation and sensing coils was used. Thanks to the special design of these coils, it is possible to place them in the proximity of the sensing element and to sense the microwire response contactlessly. There is no necessity to place the inspected component into the cylindrical coil system, as is usually the case [42][43][44][45]. The measurement block diagram can be seen in Figure 3.
Appl. Sci. 2020, 10, x FOR PEER REVIEW 5 of 14 by the EDIS vvd company, through which the applied research performed at the Department of Aviation Technical Studies has been launched in the industry. The control electronics is based on a CPLD (Complex Programmable Logical Device) with a resolution of 10 ns. For the microwire excitation and for the microwire response sensing, the coil system involving the excitation and sensing coils was used. Thanks to the special design of these coils, it is possible to place them in the proximity of the sensing element and to sense the microwire response contactlessly. There is no necessity to place the inspected component into the cylindrical coil system, as is usually the case [42][43][44][45]. The measurement block diagram can be seen in Figure 3.

Results and Discussion
Tensile stress measurements using magnetic microwires were, for the first time, used outside of laboratory conditions directly in the composite construction. The goal of the measurements was to verify the proposed methodology in real practice. Therefore, a tensile stress sensor based on a magnetic microwire was, for the first time, used in an aircraft, with the primary structural components made from composite materials.
The microwire samples were prepared using the Taylor-Ulitovsky method at the University of P. J. Safarik in Kosice ( Figure 4a); the chemical composition of the microwire was Fe77.5Si7.5B15. These samples, with a length of 2 cm, were placed on the top layer at the upper side of the main beam of the aircraft wing and covered by one layer of the glass fiber fabric, as can be seen in Figure 4b.

Results and Discussion
Tensile stress measurements using magnetic microwires were, for the first time, used outside of laboratory conditions directly in the composite construction. The goal of the measurements was to verify the proposed methodology in real practice. Therefore, a tensile stress sensor based on a magnetic microwire was, for the first time, used in an aircraft, with the primary structural components made from composite materials.
The microwire samples were prepared using the Taylor-Ulitovsky method at the University of P. J. Safarik in Kosice ( Figure 4a); the chemical composition of the microwire was Fe 77.5 Si 7.5 B 15 . These samples, with a length of 2 cm, were placed on the top layer at the upper side of the main beam of the aircraft wing and covered by one layer of the glass fiber fabric, as can be seen in Figure 4b.
The longitudinal axis of the microwire had the same direction as the main beam. For the attachment, epoxi resin L285 with the hardener H285 was used. Since as the tensile stress sensor was implemented in the aircraft structure additionally and was not a construction part of the aircraft, the sensing part was hardened only in the hangar environment. These experiments were performed in co-operation with the Incoff Aerospace company, which provided for the experiments its Shark UL aircraft, which is an ultralight aircraft owned by this company. The placement of the sensing element with the disproportionate width marked by the green line can be seen in Figure 5b.
Thanks to this unique measurement technology, it is possible to connect the sensing device and to perform contactless defectoscopy during the standard aircraft ground inspection. The real-time measurements can be visualized through the built-in IPC (Industrial Personal Computer) at the oscilloscope screen. The experimental measurement workstation is shown in Figure 6. magnetic microwire was, for the first time, used in an aircraft, with the primary structural components made from composite materials.
The microwire samples were prepared using the Taylor-Ulitovsky method at the University of P. J. Safarik in Kosice (Figure 4a); the chemical composition of the microwire was Fe77.5Si7.5B15. These samples, with a length of 2 cm, were placed on the top layer at the upper side of the main beam of the aircraft wing and covered by one layer of the glass fiber fabric, as can be seen in Figure 4b. The longitudinal axis of the microwire had the same direction as the main beam. For the attachment, epoxi resin L285 with the hardener H285 was used. Since as the tensile stress sensor was implemented in the aircraft structure additionally and was not a construction part of the aircraft, the Thanks to this unique measurement technology, it is possible to connect the sensing device and to perform contactless defectoscopy during the standard aircraft ground inspection. The real-time measurements can be visualized through the built-in IPC (Industrial Personal Computer) at the oscilloscope screen. The experimental measurement workstation is shown in Figure 6.  Thanks to this unique measurement technology, it is possible to connect the sensing device and to perform contactless defectoscopy during the standard aircraft ground inspection. The real-time measurements can be visualized through the built-in IPC (Industrial Personal Computer) at the oscilloscope screen. The experimental measurement workstation is shown in Figure 6. The series of measurements was performed on the ground. One of the experimental measurements can be seen in the Figure 7. In this case, the aircraft was swung manually around the longitudinal axis by a single worker. This movement induced the maximum tensile stress in the main wing beam. During the measurements, a sampling frequency of 500 Hz was used. The ambient temperature was 30 °C and, from the measurement output, the ambient magnetic field was The series of measurements was performed on the ground. One of the experimental measurements can be seen in the Figure 7. In this case, the aircraft was swung manually around the longitudinal axis by a single worker. This movement induced the maximum tensile stress in the main wing beam. During the measurements, a sampling frequency of 500 Hz was used. The ambient temperature was 30 • C and, from the measurement output, the ambient magnetic field was subtracted, as shown in Equation (2). Therefore, the deviation from the Earth's magnetic field did not affect the measurement and only the deviation from the initial state representing no applied tensile stress is shown in Figure 7. From the results of the spectral analysis, it can be clearly seen that the dominant frequency is around 1 Hz. It corresponds to the expected natural frequency of the aircraft. For a better visualization, only the detail of the FFT (Fast Fourier Transform) analysis in the frequency range from 0 Hz to 5 Hz is shown in Figure 8. Due to the fact that the scope of the study was to perform dynamic tests in which the deviation from the steady state is determining, the recorded data were centered and filtered by applying a lowpass FIR (Finite Impulse Response) filter with a cut-off frequency of 15 Hz. We suppose that not only the natural frequency but also all of the performed mechanical movements are below this cut-off frequency. From the results of the spectral analysis, it can be clearly seen that the dominant frequency is around 1 Hz. It corresponds to the expected natural frequency of the aircraft. For a better visualization, only the detail of the FFT (Fast Fourier Transform) analysis in the frequency range from 0 Hz to 5 Hz is shown in Figure 8. From the results of the spectral analysis, it can be clearly seen that the dominant frequency is around 1 Hz. It corresponds to the expected natural frequency of the aircraft. For a better visualization, only the detail of the FFT (Fast Fourier Transform) analysis in the frequency range from 0 Hz to 5 Hz is shown in Figure 8. Due to the fact that the scope of the study was to perform dynamic tests in which the deviation from the steady state is determining, the recorded data were centered and filtered by applying a lowpass FIR (Finite Impulse Response) filter with a cut-off frequency of 15 Hz. We suppose that not only the natural frequency but also all of the performed mechanical movements are below this cut-off frequency. Due to the fact that the scope of the study was to perform dynamic tests in which the deviation from the steady state is determining, the recorded data were centered and filtered by applying a low-pass FIR (Finite Impulse Response) filter with a cut-off frequency of 15 Hz. We suppose that not only the natural frequency but also all of the performed mechanical movements are below this cut-off frequency.
The dominant frequency of the swing movement is surrounded by the frequencies caused by the amplitude modulation of the movement deviation. From Figure 8, it can be seen that the signal generated during the swing movement achieved a frequency ranging from 0.8 to 1.3 Hz.
For the verification and confirmation of the results obtained from the spectral analysis, another experiment using the ELMA DT178A 3-axis acceleration and vibration datalogger was conducted. In this case, the experiment was performed so that the end of the aircraft wing was pushed down and released. The initial impulse was created by the 20 cm deviation at the end of the wing. The dynamic response of the system until the steady state was achieved was recorded and analyzed.
The main purpose of this experiment was to simulate the step change of the input signal in the mechanical system represented by the aircraft. From the theory of cybernetics, it is known that to obtain the frequency response of the system, it is necessary to apply the step change as the input signal of the system. In this way, it is possible to obtain the natural frequency, which is the frequency at which the system tends to oscillate in the absence of any driving or damping force. It is the frequency at which the structure will tend to vibrate when subjected to certain external forces. These frequencies are dependent on the way in which the mass and stiffness are distributed within the material structure. The flight envelope of any aircraft is determined by the resonant frequencies of the wings and airframe structure; this was the main reason that the tests specified above were used for the verification of the tensile stress measurement. If the aircraft moves too fast, the aerodynamic forces can excite the natural frequencies, causing a resonance, which, in an aircraft, is called flutter. Resonance is a phenomenon in which a dynamic force drives a structure to vibrate at its natural frequency. When a structure is in resonance, a small force can produce a large vibration response with the high amplitude. These oscillations can cause damage to the aircraft structure. This analysis helps to explain the reasons for vibrations, which can cause structural damage during the aircraft construction, and to propose solutions regarding how to reduce them-for example, by the mass or stiffness modification or damping changes.
In Figure 9, the FFT analysis of the accelerometer signal can be seen. For comparison, in this case, the same detail of the FFT analysis in the frequency range from 0 to 5 Hz is shown. It is obvious that the bandwidth of the aircraft response was not changed. In this case, it was from 1 to 1.5 Hz. The frequency shift of the response will be the subject of further research. Since these measurements were performed in October with the ambient temperature of 5 • C, we supposed that the shift was mainly caused by the temperature dependence of the Young modulus.
Appl. Sci. 2020, 10, x FOR PEER REVIEW 8 of 14 For the verification and confirmation of the results obtained from the spectral analysis, another experiment using the ELMA DT178A 3-axis acceleration and vibration datalogger was conducted. In this case, the experiment was performed so that the end of the aircraft wing was pushed down and released. The initial impulse was created by the 20 cm deviation at the end of the wing. The dynamic response of the system until the steady state was achieved was recorded and analyzed.
The main purpose of this experiment was to simulate the step change of the input signal in the mechanical system represented by the aircraft. From the theory of cybernetics, it is known that to obtain the frequency response of the system, it is necessary to apply the step change as the input signal of the system. In this way, it is possible to obtain the natural frequency, which is the frequency at which the system tends to oscillate in the absence of any driving or damping force. It is the frequency at which the structure will tend to vibrate when subjected to certain external forces. These frequencies are dependent on the way in which the mass and stiffness are distributed within the material structure. The flight envelope of any aircraft is determined by the resonant frequencies of the wings and airframe structure; this was the main reason that the tests specified above were used for the verification of the tensile stress measurement. If the aircraft moves too fast, the aerodynamic forces can excite the natural frequencies, causing a resonance, which, in an aircraft, is called flutter. Resonance is a phenomenon in which a dynamic force drives a structure to vibrate at its natural frequency. When a structure is in resonance, a small force can produce a large vibration response with the high amplitude. These oscillations can cause damage to the aircraft structure. This analysis helps to explain the reasons for vibrations, which can cause structural damage during the aircraft construction, and to propose solutions regarding how to reduce them-for example, by the mass or stiffness modification or damping changes.
In Figure 9, the FFT analysis of the accelerometer signal can be seen. For comparison, in this case, the same detail of the FFT analysis in the frequency range from 0 to 5 Hz is shown. It is obvious that the bandwidth of the aircraft response was not changed. In this case, it was from 1 to 1.5 Hz. The frequency shift of the response will be the subject of further research. Since these measurements were performed in October with the ambient temperature of 5 °C, we supposed that the shift was mainly caused by the temperature dependence of the Young modulus.  This assumption was also analytically confirmed by the performed simulations based on the idealized simplified CAD/CAE (Computer Aided Design/Computer Aided Engineering) model of the aircraft wing connected to the fuselage. The CAD model of the whole aircraft was created in the Creo Parametric software and the consequent simulations, calculations and analyses were performed in the Creo Simulate software. In Figure 10, the simulation model and the results of the modal analysis can be seen. For the first mode of deformation, which is visualized in Figure 10, the calculated natural frequency of the aircraft construction was 1.289 Hz. After the initial modal simulation, the static simulation involving the temperature change from 5 to 30 • C was performed, which created a basis for the following prestress modal analysis. The resulting natural frequency simulating the increased temperature was 1.057 Hz. The measurement point for the analyses was defined according to the placement of the sensing element, thus simulating the real position of the sensor.
Appl. Sci. 2020, 10, x FOR PEER REVIEW 9 of 14 basis for the following prestress modal analysis. The resulting natural frequency simulating the increased temperature was 1.057 Hz. The measurement point for the analyses was defined according to the placement of the sensing element, thus simulating the real position of the sensor. The following dynamic frequency analysis evaluated the system's periodic response to cyclical loads of frequency-dependent amplitude. The load input corresponded to the measurements performed with the accelerometer and took the form of a driving frequency with the corresponding amplitudes. In our case, the dynamic frequency analysis was performed to calculate the amplitude of accelerations as the response to a load oscillating at different frequencies.
From Figure 11, it is obvious that the simulation results correspond to the previously performed simulations and also to the measurement results. This means that it was confirmed that with the increasing ambient temperature, the natural frequency of the aircraft construction decreases. This is caused by the temperature dependence of the various material characteristics, which results in the change in the stresses due to the thermal expansion of the materials. Since the simulation results confirmed the correctness of the calculation model, this model can be used for further calculations. Thanks to the model, it is possible to simulate and calculate dynamic characteristics for any measurement point of the construction. Furthermore, the obtained model will serve as a basis for further sensor development, including the calibration of the sensor output. For this purpose, the calibration results can be compared to the results of the CAE analysis.
This article presents the latest results of the long-term ongoing research in the area of contactless tensile stress measurement based on the microwire sensors embedded into the composite materials. For the first time, we performed the measurements outside the laboratory facility. For this purpose, The following dynamic frequency analysis evaluated the system's periodic response to cyclical loads of frequency-dependent amplitude. The load input corresponded to the measurements performed with the accelerometer and took the form of a driving frequency with the corresponding amplitudes. In our case, the dynamic frequency analysis was performed to calculate the amplitude of accelerations as the response to a load oscillating at different frequencies.
From Figure 11, it is obvious that the simulation results correspond to the previously performed simulations and also to the measurement results. This means that it was confirmed that with the increasing ambient temperature, the natural frequency of the aircraft construction decreases. This is caused by the temperature dependence of the various material characteristics, which results in the change in the stresses due to the thermal expansion of the materials.  The following dynamic frequency analysis evaluated the system's periodic response to cyclical loads of frequency-dependent amplitude. The load input corresponded to the measurements performed with the accelerometer and took the form of a driving frequency with the corresponding amplitudes. In our case, the dynamic frequency analysis was performed to calculate the amplitude of accelerations as the response to a load oscillating at different frequencies.
From Figure 11, it is obvious that the simulation results correspond to the previously performed simulations and also to the measurement results. This means that it was confirmed that with the increasing ambient temperature, the natural frequency of the aircraft construction decreases. This is caused by the temperature dependence of the various material characteristics, which results in the change in the stresses due to the thermal expansion of the materials. Since the simulation results confirmed the correctness of the calculation model, this model can be used for further calculations. Thanks to the model, it is possible to simulate and calculate dynamic characteristics for any measurement point of the construction. Furthermore, the obtained model will serve as a basis for further sensor development, including the calibration of the sensor output. For this purpose, the calibration results can be compared to the results of the CAE analysis.
This article presents the latest results of the long-term ongoing research in the area of contactless tensile stress measurement based on the microwire sensors embedded into the composite materials. Since the simulation results confirmed the correctness of the calculation model, this model can be used for further calculations. Thanks to the model, it is possible to simulate and calculate dynamic characteristics for any measurement point of the construction. Furthermore, the obtained model will serve as a basis for further sensor development, including the calibration of the sensor output. For this purpose, the calibration results can be compared to the results of the CAE analysis.
This article presents the latest results of the long-term ongoing research in the area of contactless tensile stress measurement based on the microwire sensors embedded into the composite materials. For the first time, we performed the measurements outside the laboratory facility. For this purpose, we had to re-build the laboratory prototype [47] into the battery-powered [48] defectoscopy prototype. As our goal was to perform flight tests, this prototype was modified. We tried to achieve this goal after the ground tests performed in the hangar during the same day. However, during the flight test, the prototype electronics was affected by the vibrations generated by the aircraft engine and the propeller. During these in-flight measurements, blackouts of the system occurred. Our further research will be therefore focused on the solution to this problem. One of the main advantages of the developed solution is that the microwire-based tensile stress sensors can be used not only for the pre-flight and post-flight diagnostics, but they can be used also for the in-flight monitoring and diagnostics of the system. As we have the CAD model of the aircraft, it is possible to determine the most convenient positions that are characterized by the highest values of the stresses for the microwire placement. The sensing element can be embedded directly into the composite structure of the aircraft during the production process, but it can be added also additionally. Thanks to the dimensions of the microwire and to the manufacturing costs and speed (from 1 kg of alloy, it is possible to manufacture 40,000 km of microwire, with the production speed of 400 m/min), it is possible to choose many points for the measurement. Those points which will not be used for the continuous in-flight monitoring can be used during the aircraft inspection. Moreover, information from the microwires with no response will be useful because it can point to the overloading of the construction.
The proposed sensor solution of the aircraft construction monitoring can improve the diagnostic procedures because, in addition to the in-flight monitoring, it also allows the quick check of the aircraft construction, which can lead to the reduction of the maintenance costs, because the intervals for the aircraft maintenance can be extended. In this way, it is possible to extend also the lifetime of the aircraft. The comparison of the proposed methodology based on the magnetic microwires with the conventional resonant, acoustic, eddy current, ultrasonic and radiograph principles summarized by The Modal Shop, Inc., dealing with the structural vibration and acoustic sensing systems and services for various applications in design and test laboratories as well as manufacturing plants, is presented in Table 1.
From the comparison, it is obvious that the most important advantage of the methodology based on the tensile stress sensing using magnetic microwires is in the possibility of in-flight monitoring and diagnostics, which is not possible using conventional NDT methods. Thanks to these measurements, it is possible to measure tensile stress distribution during the flight to prevent critical loading of particular components or parts of the aircraft construction, the results of which can lead to the loss of stability and potentially to damage in the construction. The methodology can be also used for the defectoscopy of the material structure. During the periodic material monitoring and diagnostics, it is possible to compare the obtained results and so to create a more precise prediction model that can be used for the precise maintenance planning. A significant change in the microwire response can be caused by the overloading of the structure or by the change in the distribution of the tensile stresses in the aircraft construction caused by the structural changes in other aircraft parts or components. In this case, immediate maintenance is required. Furthermore, data from the in-flight monitoring can be used also for the optimization of the aircraft models, leading to more precise results of the simulation.
As the research group is interdisciplinary and consists of electrotechnical and mechanical engineers, our further research will be split into several main tasks involving solution of the electronic vibration effects, temperature dependence analysis and calibration of the sensors. The prepared CAD model of the aircraft can be used for further research, whereas it will serve as a basis for further static and dynamic CAE analyses.

Conclusions
Early detection of changes in the material structures which are not visible during the visual inspection or with the conventional inspection methods is, for many applications, very important. For aircraft structures, the monitoring and diagnostics is especially important because structural damage can lead to aircraft accidents. Therefore, many diagnostic methods with a focus on non-destructive testing have been developed. Research at the Faculty of Aeronautics of the Technical University of Kosice and of the cooperating institutions dealing with academic research, together with the innovative SME EDIS vvd company in the area of NDT, is focused on the non-destructive material testing method using the developed microwire-based tensile stress sensors. The sensing element of these sensors is an amorphous magnetic microwire which is sensitive not only to the magnetic field but also to the applied tensile stress. Measurement of the tensile stress can be performed either on the material surface or inside of the material because microwires, thanks to their small dimensions, can be easily integrated into the tested construction without structural violations and changes in material characteristics. For this purpose, the original induction method with the excitation and sensing coils placed outside the sensing microwire has also been developed. Using this method, the material diagnostics can be absolutely contactless.
Microwire-based tensile stress sensors can be used, for example, for construction, structural health and operational load monitoring, fatigue testing or crack detection. In the article, the original research results from the initial tests performed directly in an aircraft are presented. Thanks to the performed measurements with the microwire-based sensors and verification measurements with the accelerometer with different external temperatures, the temperature dependence of the natural frequency of the aircraft was also analyzed. It was also analytically confirmed that with the increasing temperature, the natural frequency decreases. The prepared simulation CAD/CAE model will serve as a basis for further sensor development, optimization and calibration.