Size Effect on the Acoustic Emission Behavior of Textile-Reinforced Cement Composites

: Acoustic emission (AE) is applied for the structural health evaluation of materials. It com-monly uses piezoelectric sensors to detect elastic waves coming from energy releases within the material. Concerning cementitious composites as well as polymers, AE parameters have proven their potential to not only detect the existence of a defect, its location and the fracture mode, but also the developing strain ﬁeld even before visible damage evolves. However, the wave propagation distance, wave dispersion due to plate geometry, heterogeneity and reﬂections result in attenuation and distortion of the AE waveforms. These factors render the interpretation more complex, especially for large samples. In this study, the effect of wave propagation on plain glass textile-reinforced cement (TRC) plates is investigated. Then, curved plates with different widths are mechanically loaded for bending with concurrent AE monitoring. The aim is to evaluate to what extent the plate dimensions and propagation distance inﬂuence the original AE characteristics corresponding to a certain fracture mechanism.


Introduction
Acoustic emission (AE) has successfully been used to monitor the failure process of composite media for a long time. It utilizes piezoelectric sensors to monitor the elastic waves emitted by irreversible processes like cracking and the general failure process in materials. Advancements in electronics and its affordable and non-hazardous nature, combined with its sensitivity, make it a very encouraging type of technology for damage assessment. The detection of active cracking and information on the fracture mode, something very essential for composites, as well as source localization have been extensively utilized [1][2][3][4][5]. It has been recently demonstrated that acoustic emission is sensitive to the applied stress field long before damage is inflicted to the polymer and cementitious composites [6][7][8]. The relative motion of the cracked sides depends on the fracture mode introducing different elastic waves, depending on the stress field, causing the displacement. In general, displacements due to shear stresses show lower frequencies and longer waveforms than tensile events [2,9,10] (see Figure 1). Among other parameters, the frequency content is evaluated by the "average frequency" (AF), which is the number of threshold crossings of the waveform over its duration. In addition, another important shape parameter connected to the propagating wave modes and the type of excitation is the time delay between the first threshold crossing and the maximum peak of the waveform, called the "rise time" (RT).

Figure 1.
Average frequency-rise time plot from bending tests on TRC beams, taken from [7].
While the effectiveness of the technique has been demonstrated at a laboratory scale, and AE is extremely useful in material-oriented studies, the full potential has not been realized at a larger service scale. The reasons for this include larger propagation distances and thus higher attenuation, more possible sources of external noise and more severe signal distortion due reflections, scattering and dispersion. Therefore, away from the laboratory, the AE is mainly limited to crack detection and localization [11][12][13][14], while the sensitivity to the fracture mode and stress field are in their infancy.
The aforementioned issue of the large propagation distance has been demonstrated in bulk [15] as well as plate structures [16][17][18][19]. Studies occupying different propagation distances in thin plates have shown that due to plate wave dispersion, the elastic signals continuously undergo a waveform shape change. This is mainly because different frequency components propagate with different velocities, something that is also demonstrated herein for the specific material of interest (cementitious composite for construction). In addition, the main focus comes from an issue not sufficiently investigated in the literature. This is the lateral dimension of the plate. Practically speaking, this is the difference in the acquired AE, when varying the width of the plate without altering the nominal propagation distance between the damage source and sensor and the fracture mechanism (see Figure 2). As the width of the plate is small, the geometry is closer to a beam, and the wave propagation is essentially one-dimensional, leading to strong waveguide behavior ( Figure 2a). For larger widths though, the propagation opens in a circular wavefront, the energy is spread to larger area, and the wave travels a longer distance until it is possibly reflected by the edges (see Figure 2c), while Figure 2b shows an intermediate situation.
The influence of the width on wave propagation has been studied in straight metal plates [20,21] and only recently in structural composites [22]. In general, it was found that the recorded waveforms in beams showed higher frequency contents and amplitudes than in the plates. The reason was attributed to edge reflections, which are dominant for small specimens and distort the frequency content but weaken in large dimensions. An equivalent interpretation from another point of view was given through the essentially one-dimensional propagation in the beam, which resembled the propagation in a waveguide, avoiding the spreading of the wavefront. This is the first time that the effect of the plate width is studied in curved composite elements. The specific material is TRC, a cementitious matrix reinforced by chopped, randomly oriented glass fibers. Details on the material and experimental procedure follow in the next section. While the effectiveness of the technique has been demonstrated at a laboratory scale, and AE is extremely useful in material-oriented studies, the full potential has not been realized at a larger service scale. The reasons for this include larger propagation distances and thus higher attenuation, more possible sources of external noise and more severe signal distortion due reflections, scattering and dispersion. Therefore, away from the laboratory, the AE is mainly limited to crack detection and localization [11][12][13][14], while the sensitivity to the fracture mode and stress field are in their infancy.
The aforementioned issue of the large propagation distance has been demonstrated in bulk [15] as well as plate structures [16][17][18][19]. Studies occupying different propagation distances in thin plates have shown that due to plate wave dispersion, the elastic signals continuously undergo a waveform shape change. This is mainly because different frequency components propagate with different velocities, something that is also demonstrated herein for the specific material of interest (cementitious composite for construction). In addition, the main focus comes from an issue not sufficiently investigated in the literature. This is the lateral dimension of the plate. Practically speaking, this is the difference in the acquired AE, when varying the width of the plate without altering the nominal propagation distance between the damage source and sensor and the fracture mechanism (see Figure 2). As the width of the plate is small, the geometry is closer to a beam, and the wave propagation is essentially one-dimensional, leading to strong waveguide behavior ( Figure 2a). For larger widths though, the propagation opens in a circular wavefront, the energy is spread to larger area, and the wave travels a longer distance until it is possibly reflected by the edges (see Figure 2c), while Figure 2b shows an intermediate situation.
The influence of the width on wave propagation has been studied in straight metal plates [20,21] and only recently in structural composites [22]. In general, it was found that the recorded waveforms in beams showed higher frequency contents and amplitudes than in the plates. The reason was attributed to edge reflections, which are dominant for small specimens and distort the frequency content but weaken in large dimensions. An equivalent interpretation from another point of view was given through the essentially onedimensional propagation in the beam, which resembled the propagation in a waveguide, avoiding the spreading of the wavefront. This is the first time that the effect of the plate width is studied in curved composite elements. The specific material is TRC, a cementitious matrix reinforced by chopped, randomly oriented glass fibers. Details on the material and experimental procedure follow in the next section.

Experimental Details
Three series of four samples each were tested in a lab under three-point bending. The composite consisted of a wollastonite-based powder matrix (IPC, CaSiO3) mixed with a 1%vf ALESTA HR polymer agent. Thin plates were cast with the hand lay-up method by impregnating 8 layers of randomly chopped glass fiber textile mats reaching a 20% volume fraction. The plates were cast into curved molds with both the length and width fixed at 300 mm. The height was set at 150 mm. The 4-mm thick plates were cured at 60 °C for 24 h after casting. Then, the plates were cut into samples with varying widths of 25, 50 and 300 mm. After curing at room temperature for at least 24 h more, the samples were tested for bending until failure using an INSTRON testing bench with a load cell capacity up to 10 kN. The test was displacement controlled, and the point of load application in the middle of the beam was moving downward with a constant speed of 0.02 mm/s. This relatively low speed was applied in order to allow the slow development of fractures, avoiding interactions between different fracture sources as much as possible. The sample was confined along both sides (Figure 3a,b).
Four AE sensors were mounted at the top side of the sample with the use of tape in the configuration illustrated in Figure 3c. A thin layer of vacuum grease between the sensors and the specimens was applied for acoustic coupling. Resonant (150 kHz) R15 sensors, provided by Mistras Group, were used. Three of the AE sensors were positioned at equal distances of 60 mm at one side, while the fourth one was placed at the opposite side of the sample, thus fully covering the fractured zone. The received signals were preamplified by 40 dB, while the low noise environment enabled the application of a quite low and sensitive threshold of 35 dB. The sampling rate was 2 MHz, while the acquisition system was a Micro-II digital AE system from Mistras Group. The signal "timing" parameters used to separate successive signals and measure their parameters were as follows: hit definition time = 200 μs, peak definition time = 100 μs, maximum hit duration = 1 ms and hit lock out time = 800 μs. These settings may have influenced the absolute value of the measured parameters and were compatible with the manufacturers' recommendations and our own experience.

Experimental Details
Three series of four samples each were tested in a lab under three-point bending. The composite consisted of a wollastonite-based powder matrix (IPC, CaSiO 3 ) mixed with a 1%vf ALESTA HR polymer agent. Thin plates were cast with the hand lay-up method by impregnating 8 layers of randomly chopped glass fiber textile mats reaching a 20% volume fraction. The plates were cast into curved molds with both the length and width fixed at 300 mm. The height was set at 150 mm. The 4-mm thick plates were cured at 60 • C for 24 h after casting. Then, the plates were cut into samples with varying widths of 25, 50 and 300 mm. After curing at room temperature for at least 24 h more, the samples were tested for bending until failure using an INSTRON testing bench with a load cell capacity up to 10 kN. The test was displacement controlled, and the point of load application in the middle of the beam was moving downward with a constant speed of 0.02 mm/s. This relatively low speed was applied in order to allow the slow development of fractures, avoiding interactions between different fracture sources as much as possible. The sample was confined along both sides (Figure 3a,b).
Four AE sensors were mounted at the top side of the sample with the use of tape in the configuration illustrated in Figure 3c. A thin layer of vacuum grease between the sensors and the specimens was applied for acoustic coupling. Resonant (150 kHz) R15 sensors, provided by Mistras Group, were used. Three of the AE sensors were positioned at equal distances of 60 mm at one side, while the fourth one was placed at the opposite side of the sample, thus fully covering the fractured zone. The received signals were preamplified by 40 dB, while the low noise environment enabled the application of a quite low and sensitive threshold of 35 dB. The sampling rate was 2 MHz, while the acquisition system was a Micro-II digital AE system from Mistras Group. The signal "timing" parameters used to separate successive signals and measure their parameters were as follows: hit definition time = 200 µs, peak definition time = 100 µs, maximum hit duration = 1 ms and hit lock out time = 800 µs. These settings may have influenced the absolute value of the measured parameters and were compatible with the manufacturers' recommendations and our own experience.

Effect of Propagation Distance
To set the stage and illustrate the strongly dispersive nature of wave propagation in the specific composite, first, an example taken from a straight TRC plate is shown below. The manufacturing of the plates was similar to the curved elements but took place in a straight mold. More details can be found in [22]. Elastic wave tests were conducted with the two resonant AE transducers fixed on the surface of the plates at distances of 100 mm and 200 mm from the excitation ( Figure 4). The excitation was conducted by a pencil-lead break, which is similar to the Hsu-Nielsen source method [2]. It was applied on the top surface (out-of-plane) and on the edge (in-plane) to test the influence of the source's orientation, and the typical waveforms are depicted in Figure 5a,b, respectively. In both cases, the waveforms collected by the first and second receivers differed substantially even after simple visual observation.
The maximum amplitude at the second sensor decreased by approximately a factor of three or more. This was the result of the combined effect of all attenuation mechanisms (beam spreading, damping and scattering). In addition, plate wave dispersion contributed in an indirect way by spreading the wave energy over time, thus lowering the maximum amplitude. Apart from the amplitude, the shape of the waveforms would seriously change if we treated them from the viewpoint of AE. Indicatively, for the case of out-ofplane excitation, the rise time (RT) measured at 200 mm became almost 4 times longer than the RT at 100 mm due to the aforementioned dispersion and spreading in the time domain (Figure 5a). For in-plane excitation, the spreading was even stronger, with the RT increasing more than seven times for the same extra distance (from 32 μs to 240 μs; see Figure 5b). Therefore, it is clear that the propagation distance strongly impacted the acquired waveform and, consequently, all the AE parameters. This is highlighted since, as will also be discussed later, it complicates the characterization of the fracture mode currently being attempted by analysis of the AE parameters [2,5,7,8,11].

Effect of Propagation Distance
To set the stage and illustrate the strongly dispersive nature of wave propagation in the specific composite, first, an example taken from a straight TRC plate is shown below. The manufacturing of the plates was similar to the curved elements but took place in a straight mold. More details can be found in [22]. Elastic wave tests were conducted with the two resonant AE transducers fixed on the surface of the plates at distances of 100 mm and 200 mm from the excitation ( Figure 4).

Effect of Propagation Distance
To set the stage and illustrate the strongly dispersive nature of wave propagation in the specific composite, first, an example taken from a straight TRC plate is shown below. The manufacturing of the plates was similar to the curved elements but took place in a straight mold. More details can be found in [22]. Elastic wave tests were conducted with the two resonant AE transducers fixed on the surface of the plates at distances of 100 mm and 200 mm from the excitation ( Figure 4). The excitation was conducted by a pencil-lead break, which is similar to the Hsu-Nielsen source method [2]. It was applied on the top surface (out-of-plane) and on the edge (in-plane) to test the influence of the source's orientation, and the typical waveforms are depicted in Figure 5a,b, respectively. In both cases, the waveforms collected by the first and second receivers differed substantially even after simple visual observation.
The maximum amplitude at the second sensor decreased by approximately a factor of three or more. This was the result of the combined effect of all attenuation mechanisms (beam spreading, damping and scattering). In addition, plate wave dispersion contributed in an indirect way by spreading the wave energy over time, thus lowering the maximum amplitude. Apart from the amplitude, the shape of the waveforms would seriously change if we treated them from the viewpoint of AE. Indicatively, for the case of out-ofplane excitation, the rise time (RT) measured at 200 mm became almost 4 times longer than the RT at 100 mm due to the aforementioned dispersion and spreading in the time domain (Figure 5a). For in-plane excitation, the spreading was even stronger, with the RT increasing more than seven times for the same extra distance (from 32 μs to 240 μs; see Figure 5b). Therefore, it is clear that the propagation distance strongly impacted the acquired waveform and, consequently, all the AE parameters. This is highlighted since, as will also be discussed later, it complicates the characterization of the fracture mode currently being attempted by analysis of the AE parameters [2,5,7,8,11].

Receiver 1
Receiver 2 TRC plate The excitation was conducted by a pencil-lead break, which is similar to the Hsu-Nielsen source method [2]. It was applied on the top surface (out-of-plane) and on the edge (in-plane) to test the influence of the source's orientation, and the typical waveforms are depicted in Figure 5a,b, respectively. In both cases, the waveforms collected by the first and second receivers differed substantially even after simple visual observation.
The maximum amplitude at the second sensor decreased by approximately a factor of three or more. This was the result of the combined effect of all attenuation mechanisms (beam spreading, damping and scattering). In addition, plate wave dispersion contributed in an indirect way by spreading the wave energy over time, thus lowering the maximum amplitude. Apart from the amplitude, the shape of the waveforms would seriously change if we treated them from the viewpoint of AE. Indicatively, for the case of out-of-plane excitation, the rise time (RT) measured at 200 mm became almost 4 times longer than the RT at 100 mm due to the aforementioned dispersion and spreading in the time domain ( Figure  5a). For in-plane excitation, the spreading was even stronger, with the RT increasing more than seven times for the same extra distance (from 32 µs to 240 µs; see Figure 5b). Therefore, it is clear that the propagation distance strongly impacted the acquired waveform and, consequently, all the AE parameters. This is highlighted since, as will also be discussed later, it complicates the characterization of the fracture mode currently being attempted by analysis of the AE parameters [2,5,7,8,11].

Effect of the Width of the Curved Elements on AE Behavior
The analysis started with the beam with the smallest width in order to set the basic behavior and explanation relative to the fracture of the TRC before moving to the comparisons with the plate specimen.
While the load was low, the AE was scarce. This corresponded to the elastic regime, where limited cracking was initiated. As the load increased, cracking became more frequent, and the AE rate increased, as can be seen in Figure 6a. Later on and before the final collapse, the cracking was continuous, as can be seen by the local fluctuations of the load curve, while at the end, the cumulative AE exhibited an almost vertical increase. At the same time, AE parameters like the rise time showed an increase with each successive stage ( Figure 6b); before approximately 10 min, it was limited to 40 μs, and later at

Effect of the Width of the Curved Elements on AE Behavior
The analysis started with the beam with the smallest width in order to set the basic behavior and explanation relative to the fracture of the TRC before moving to the comparisons with the plate specimen.
While the load was low, the AE was scarce. This corresponded to the elastic regime, where limited cracking was initiated. As the load increased, cracking became more frequent, and the AE rate increased, as can be seen in Figure 6a. Later on and before the final collapse, the cracking was continuous, as can be seen by the local fluctuations of the load curve, while at the end, the cumulative AE exhibited an almost vertical increase. At the same time, AE parameters like the rise time showed an increase with each successive stage ( Figure 6b); before approximately 10 min, it was limited to 40 µs, and later at approximately 12.5 min, it reached 100 µs, while at the final load drop and the macroscopic collapse, it expanded to values up to 200 µs or higher, as is shown in Figure 6b. This increase in the values of the RT was interpreted as the shift occurred from matrix cracks to delaminations and fiber pull-out as the specimen was led to final failure [5,6]. It must be noted here that theoretically, it is also possible that several sources were acting simultaneously or in an overlapping manner at the moments of high intensity fracturing phenomena at the end of loading. This could impact the recorded waveforms, increasing the RT and duration characteristics. Although this cannot be excluded, the pencil-lead break excitations discussed in Figure 5 show that, depending on the conditions, even a single source can be recorded with a high RT (e.g., in-plane excitation recorded at 200 mm distance depicted in Figure 5b), showing that these differences were connected to the actual mechanism and propagation conditions and not necessarily to the overlapping of different waveforms. approximately 12.5 min, it reached 100 μs, while at the final load drop and the macroscopic collapse, it expanded to values up to 200 μs or higher, as is shown in Figure  6b. This increase in the values of the RT was interpreted as the shift occurred from matrix cracks to delaminations and fiber pull-out as the specimen was led to final failure [5,6]. It must be noted here that theoretically, it is also possible that several sources were acting simultaneously or in an overlapping manner at the moments of high intensity fracturing phenomena at the end of loading. This could impact the recorded waveforms, increasing the RT and duration characteristics. Although this cannot be excluded, the pencil-lead break excitations discussed in Figure 5 show that, depending on the conditions, even a single source can be recorded with a high RT (e.g. in-plane excitation recorded at 200 mm distance depicted in Figure 5b), showing that these differences were connected to the actual mechanism and propagation conditions and not necessarily to the overlapping of different waveforms. The corresponding results for the plate are shown in Figure 7a. A similar observation about the increase of the AE rate can be made, while it is evident that at the transient load drops (marked by arrows in Figure 7a), which indicate cracking events, the AE exhibited vertical increases. Usually, these large cracking events are also escorted by delaminations and fiber pull-out events, something responsible for the higher values of the RT that are evident at those moments (see Figure 7b). In Figure 7b, it also becomes obvious that the RT values were expanding to 100 μs from the start of the experiment, certainly higher than the 40 μs limit for the beam. This is already an indication that the matrix cracks occurring at a low load corresponded to different AE signatures in beams and plates of the same material. In order to make a valid comparison, and because the time scales of the different tests were not similar, the AE activity in terms of the RT and AF was represented versus the The corresponding results for the plate are shown in Figure 7a. A similar observation about the increase of the AE rate can be made, while it is evident that at the transient load drops (marked by arrows in Figure 7a), which indicate cracking events, the AE exhibited vertical increases. Usually, these large cracking events are also escorted by delaminations and fiber pull-out events, something responsible for the higher values of the RT that are evident at those moments (see Figure 7b). In Figure 7b, it also becomes obvious that the RT values were expanding to 100 µs from the start of the experiment, certainly higher than the 40 µs limit for the beam. This is already an indication that the matrix cracks occurring at a low load corresponded to different AE signatures in beams and plates of the same material.
Appl. Sci. 2021, 11, x FOR PEER REVIEW 6 of 10 approximately 12.5 min, it reached 100 μs, while at the final load drop and the macroscopic collapse, it expanded to values up to 200 μs or higher, as is shown in Figure  6b. This increase in the values of the RT was interpreted as the shift occurred from matrix cracks to delaminations and fiber pull-out as the specimen was led to final failure [5,6]. It must be noted here that theoretically, it is also possible that several sources were acting simultaneously or in an overlapping manner at the moments of high intensity fracturing phenomena at the end of loading. This could impact the recorded waveforms, increasing the RT and duration characteristics. Although this cannot be excluded, the pencil-lead break excitations discussed in Figure 5 show that, depending on the conditions, even a single source can be recorded with a high RT (e.g. in-plane excitation recorded at 200 mm distance depicted in Figure 5b), showing that these differences were connected to the actual mechanism and propagation conditions and not necessarily to the overlapping of different waveforms. The corresponding results for the plate are shown in Figure 7a. A similar observation about the increase of the AE rate can be made, while it is evident that at the transient load drops (marked by arrows in Figure 7a), which indicate cracking events, the AE exhibited vertical increases. Usually, these large cracking events are also escorted by delaminations and fiber pull-out events, something responsible for the higher values of the RT that are evident at those moments (see Figure 7b). In Figure 7b, it also becomes obvious that the RT values were expanding to 100 μs from the start of the experiment, certainly higher than the 40 μs limit for the beam. This is already an indication that the matrix cracks occurring at a low load corresponded to different AE signatures in beams and plates of the same material. In order to make a valid comparison, and because the time scales of the different tests were not similar, the AE activity in terms of the RT and AF was represented versus the In order to make a valid comparison, and because the time scales of the different tests were not similar, the AE activity in terms of the RT and AF was represented versus the number of hits. The initial population of hits belonged to the elastic regime, where the dominant expected expression of damage was matrix cracks. Therefore, the AE of the first 200 hits was reasonably attributed to cracking without much interference from other fracture modes. At the same time, the medium was relatively undamaged, allowing us to check the effect of the geometry itself without the distortion due to damage. Figure 8a shows the sliding average of the RT for the first 200 hits for all three specimens. The plate exhibited the highest RT, while the thin beam exhibited the lowest RT curve. After 100 hits, some peaks in the RT were seen, which were attributed, as was already mentioned, to the small load drops evidenced in Figure 6. Again, the influence of the width was obvious, as the RTs measured on the specimens exhibited an increase with the specimen's width.
number of hits. The initial population of hits belonged to the elastic regime, where the dominant expected expression of damage was matrix cracks. Therefore, the AE of the first 200 hits was reasonably attributed to cracking without much interference from other fracture modes. At the same time, the medium was relatively undamaged, allowing us to check the effect of the geometry itself without the distortion due to damage. Figure 8a shows the sliding average of the RT for the first 200 hits for all three specimens. The plate exhibited the highest RT, while the thin beam exhibited the lowest RT curve. After 100 hits, some peaks in the RT were seen, which were attributed, as was already mentioned, to the small load drops evidenced in Figure 6. Again, the influence of the width was obvious, as the RTs measured on the specimens exhibited an increase with the specimen's width. The conclusions from the AF analysis are in the same line, showing again a systematic difference according to the specimens' width: as the width of the beam increased, the frequency content of the received waveforms due to cracking emissions decreased (Figure 8b). For the thin beam of 25 mm, the AF line was around 240-250 kHz. For the medium beam of 50 mm, the line was continuously lower, being between 220 kHz and 230 kHz, while for the plate (width of 300 mm), the drop was even more pronounced at approximately 190 kHz. It is seen, therefore, that despite monitoring the same basic source (cracking of cementitious matrix), the acquired AE parameter was strongly influenced by the geometry of the specimen (in this case, the width). Figure 9 shows the representative waveforms collected from a 25-mm beam and a plate 300 mm wide. While the indicative waveforms may have shown the expected differences (waveform of the beam peaked earlier), the obtained parameters were considered very important because, in a real structural health monitoring situation, the whole waveforms would likely not be recorded due to limitations in the recording space and the possible bandwidth of (wireless) transmission.  The conclusions from the AF analysis are in the same line, showing again a systematic difference according to the specimens' width: as the width of the beam increased, the frequency content of the received waveforms due to cracking emissions decreased (Figure 8b). For the thin beam of 25 mm, the AF line was around 240-250 kHz. For the medium beam of 50 mm, the line was continuously lower, being between 220 kHz and 230 kHz, while for the plate (width of 300 mm), the drop was even more pronounced at approximately 190 kHz. It is seen, therefore, that despite monitoring the same basic source (cracking of cementitious matrix), the acquired AE parameter was strongly influenced by the geometry of the specimen (in this case, the width). Figure 9 shows the representative waveforms collected from a 25-mm beam and a plate 300 mm wide. While the indicative waveforms may have shown the expected differences (waveform of the beam peaked earlier), the obtained parameters were considered very important because, in a real structural health monitoring situation, the whole waveforms would likely not be recorded due to limitations in the recording space and the possible bandwidth of (wireless) transmission.
Appl. Sci. 2021, 11, x FOR PEER REVIEW 7 of 10 number of hits. The initial population of hits belonged to the elastic regime, where the dominant expected expression of damage was matrix cracks. Therefore, the AE of the first 200 hits was reasonably attributed to cracking without much interference from other fracture modes. At the same time, the medium was relatively undamaged, allowing us to check the effect of the geometry itself without the distortion due to damage. Figure 8a shows the sliding average of the RT for the first 200 hits for all three specimens. The plate exhibited the highest RT, while the thin beam exhibited the lowest RT curve. After 100 hits, some peaks in the RT were seen, which were attributed, as was already mentioned, to the small load drops evidenced in Figure 6. Again, the influence of the width was obvious, as the RTs measured on the specimens exhibited an increase with the specimen's width. The conclusions from the AF analysis are in the same line, showing again a systematic difference according to the specimens' width: as the width of the beam increased, the frequency content of the received waveforms due to cracking emissions decreased (Figure 8b). For the thin beam of 25 mm, the AF line was around 240-250 kHz. For the medium beam of 50 mm, the line was continuously lower, being between 220 kHz and 230 kHz, while for the plate (width of 300 mm), the drop was even more pronounced at approximately 190 kHz. It is seen, therefore, that despite monitoring the same basic source (cracking of cementitious matrix), the acquired AE parameter was strongly influenced by the geometry of the specimen (in this case, the width). Figure 9 shows the representative waveforms collected from a 25-mm beam and a plate 300 mm wide. While the indicative waveforms may have shown the expected differences (waveform of the beam peaked earlier), the obtained parameters were considered very important because, in a real structural health monitoring situation, the whole waveforms would likely not be recorded due to limitations in the recording space and the possible bandwidth of (wireless) transmission.

Discussion
The trends from the curved plates described herein are in good correspondence with the straight plate AE behavior of the same material under three-point bending. Figure 10 shows the sliding average of the RT for straight elements with different widths, taken from a recent study [22]. The wider specimen (width of 400 mm), termed as the "plate", showed a much higher RT than the 23-mm wide beam. Gradually, with more time in the loading process, a shift to higher values is shown, as there is a reasonable shift from matrix cracks to delaminations.

Discussion
The trends from the curved plates described herein are in good correspondence with the straight plate AE behavior of the same material under three-point bending. Figure 10 shows the sliding average of the RT for straight elements with different widths, taken from a recent study [22]. The wider specimen (width of 400 mm), termed as the "plate", showed a much higher RT than the 23-mm wide beam. Gradually, with more time in the loading process, a shift to higher values is shown, as there is a reasonable shift from matrix cracks to delaminations. The results from the plane specimens confirmed that the curvature of the plate in the direction of propagation was not crucial and did not significantly influence the obtained trends [23]. However, a large increase in the lateral dimension imposed large discrepancies in the received waveform, increasing the RT by two to three times both in the curved ( Figure 8) and straight plates ( Figure 10).
Considering the waveforms of Figure 5a, a measure of attenuation was obtained. Extra propagation of 100 mm reduced the absolute amplitude by 72% (first sensor: 8.135 V, second sensor: 2.286 V). A possible side reflection needed to propagate a total of 300 mm (150 mm from the center of the plate to the edge and back), so without any other effect, it corresponded to three times the aforementioned decrease, leading to an amplitude of only 2.2% of the original. This is too small to be pinpointed in the waveform of a resonant transducer and, as such, cannot influence the measurement of the RT. Nevertheless, the calculated expected time of these negligible reflections in the plates of 300 mm, considering a propagation velocity of approximately 3000 m/s, would be 100 μs. In the waveform, any corresponding contribution at that time was not clearly observed. We can conclude that for the wide specimen (300 mm), the energy that propagated sideways was actually lost and practically was not expected to show again in the waveforms. For the less wide specimens (50 mm and 25 mm), the time of reflection arrival was less than 20 μs. Therefore, the contribution of the reflections was included in the main body of the waveform. Due to the duration of the main pulse, the plate wave dispersion and the sensitive, resonant nature of the transducers, isolating the reflection contributions was not a straightforward process.
To examine how the possible characterization would be influenced by the geometry, Figure 11 presents the AF vs. RT graph for the matrix cracking sources (first 100 hits) in the beam and plate. All individual points are visible, along with the average of the populations (larger symbols) and the standard deviations in the ellipses. The shift of the populations is obvious, with the plate data expanding to much higher RTs and lower frequencies, while there is no overlap for 65% of the populations, indicated by the ellipses. The results from the plane specimens confirmed that the curvature of the plate in the direction of propagation was not crucial and did not significantly influence the obtained trends [23]. However, a large increase in the lateral dimension imposed large discrepancies in the received waveform, increasing the RT by two to three times both in the curved ( Figure 8) and straight plates ( Figure 10).
Considering the waveforms of Figure 5a, a measure of attenuation was obtained. Extra propagation of 100 mm reduced the absolute amplitude by 72% (first sensor: 8.135 V, second sensor: 2.286 V). A possible side reflection needed to propagate a total of 300 mm (150 mm from the center of the plate to the edge and back), so without any other effect, it corresponded to three times the aforementioned decrease, leading to an amplitude of only 2.2% of the original. This is too small to be pinpointed in the waveform of a resonant transducer and, as such, cannot influence the measurement of the RT. Nevertheless, the calculated expected time of these negligible reflections in the plates of 300 mm, considering a propagation velocity of approximately 3000 m/s, would be 100 µs. In the waveform, any corresponding contribution at that time was not clearly observed. We can conclude that for the wide specimen (300 mm), the energy that propagated sideways was actually lost and practically was not expected to show again in the waveforms. For the less wide specimens (50 mm and 25 mm), the time of reflection arrival was less than 20 µs. Therefore, the contribution of the reflections was included in the main body of the waveform. Due to the duration of the main pulse, the plate wave dispersion and the sensitive, resonant nature of the transducers, isolating the reflection contributions was not a straightforward process.
To examine how the possible characterization would be influenced by the geometry, Figure 11 presents the AF vs. RT graph for the matrix cracking sources (first 100 hits) in the beam and plate. All individual points are visible, along with the average of the populations (larger symbols) and the standard deviations in the ellipses. The shift of the populations is obvious, with the plate data expanding to much higher RTs and lower frequencies, while there is no overlap for 65% of the populations, indicated by the ellipses. Appl. Sci. 2021, 11, x FOR PEER REVIEW 9 of 10 The practical implication of this shift in AE values can be understood by considering the dominant crack classification methodology that is described in the literature and the RILEM recommendations [2]. In general, a high frequency and low RT value are connected to the tensile mode of cracking. On the other hand, a low frequency and higher RT indicates the shear type of failure. Therefore, a relative shift between values would be interpreted as a change of the dominant fracture mode. However, when we compared different type of specimens, like in the case herein, this difference in AE parameters was only the result of the different geometry (in this case, the dimension lateral to propagation, termed as the width), despite the underlying basic fracture mechanism being the same (matrix cracking). As seen in Figure 11, there was a difference of more than 50 kHz in the average frequency value, while the RT was more than doubled for the case of the plate compared with the thin beam. By conducting calibration experiments in small-scale laboratory samples, the resulting values were not representative of the activity from more realistic samples and would cause errors in interpretation. Typically, activity in bigger samples would be misinterpreted toward shearing due to shifting to lower frequencies and longer signals.

Conclusions
Apart from active damage detection and localization, reliable interpretation is the next big challenge for AE in large scale. Acoustic emission is firmly connected to the elastic wave behavior of a medium. Phenomena like dispersion, attenuation and scattering, which are relevant for an ultrasonic study, are by default important for the correct evaluation of the AE signals. The present study wishes to highlight the effect of the propagation distance, as well as the dimension vertical to it, namely the plate width. It was proven that although propagation takes place in the other direction, the effect of the width is crucial, as it can strongly alter the waveform parameters. The larger the lateral dimension of the specimen, the longer the acquired AE signals being translated to higher RT and duration values. At the same time, the frequency decreases. Without prior knowledge, this substantial shift of values would be misinterpreted toward the shear nature of cracking. Therefore, it is crucial to either develop a methodology to extrapolate the expected values in larger specimens or to directly conduct the experiments in realistically sized specimens to avoid the waveguide phenomena occurring in beams. The study should continue with numerical simulations to examine the limit of the size until a strong influence is expected. The practical implication of this shift in AE values can be understood by considering the dominant crack classification methodology that is described in the literature and the RILEM recommendations [2]. In general, a high frequency and low RT value are connected to the tensile mode of cracking. On the other hand, a low frequency and higher RT indicates the shear type of failure. Therefore, a relative shift between values would be interpreted as a change of the dominant fracture mode. However, when we compared different type of specimens, like in the case herein, this difference in AE parameters was only the result of the different geometry (in this case, the dimension lateral to propagation, termed as the width), despite the underlying basic fracture mechanism being the same (matrix cracking). As seen in Figure 11, there was a difference of more than 50 kHz in the average frequency value, while the RT was more than doubled for the case of the plate compared with the thin beam. By conducting calibration experiments in small-scale laboratory samples, the resulting values were not representative of the activity from more realistic samples and would cause errors in interpretation. Typically, activity in bigger samples would be misinterpreted toward shearing due to shifting to lower frequencies and longer signals.

Conclusions
Apart from active damage detection and localization, reliable interpretation is the next big challenge for AE in large scale. Acoustic emission is firmly connected to the elastic wave behavior of a medium. Phenomena like dispersion, attenuation and scattering, which are relevant for an ultrasonic study, are by default important for the correct evaluation of the AE signals. The present study wishes to highlight the effect of the propagation distance, as well as the dimension vertical to it, namely the plate width. It was proven that although propagation takes place in the other direction, the effect of the width is crucial, as it can strongly alter the waveform parameters. The larger the lateral dimension of the specimen, the longer the acquired AE signals being translated to higher RT and duration values. At the same time, the frequency decreases. Without prior knowledge, this substantial shift of values would be misinterpreted toward the shear nature of cracking. Therefore, it is crucial to either develop a methodology to extrapolate the expected values in larger specimens or to directly conduct the experiments in realistically sized specimens to avoid the waveguide phenomena occurring in beams. The study should continue with numerical simulations to examine the limit of the size until a strong influence is expected.  19N and 12J7720N.