An investigation on the suitability of modern nondestructive testing methods for the inspection of specimens manufactured by laser powder bed fusion

Laser powder bed fusion (L-PBF) is increasingly used to fabricate functional parts used in safety-relevant applications. To ensure that the sophisticated part specifications are achieved, 100% quality inspections are performed subsequent to the buildup process. However, knowledge about the detectability of defects in L-PBF parts using NDT methods is limited. This paper analyzes the suitability of NDT techniques in an ex situ environment, in particular active infrared thermography, neutron grating interferometry (nGI), X-ray computed tomography, and ultrasonic testing for the examination of L-PBF parts made from Inconel 718. Based on a test specimen with artificially inserted defects with varying dimensions and depths, these NDT techniques were compared in terms of their attainable resolution and thus defect detection capability. The empirical studies revealed that nGI shows the highest resolution capability. It was possible to detect defects with a diameter of 100–200 m at a depth of 60–80 μm\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\upmu } \hbox {m}$$\end{document}. The results are discussed with regard to their relevance for the examination of L-PBF parts and thus not only contribute to a better understanding of the potential of the NDT techniques in comparison but also assist stakeholders in additive manufacturing in evaluating the suitability of the NDT techniques investigated.


Introduction
Laser powder bed fusion (L-PBF) is a suitable additive manufacturing (AM) technology for the processing of weldable metals and alloys. These include mainly steel and iron-based alloys, aluminum and its alloys, titanium and its alloys, and nickel-based alloys, such as Inconel [1]. Recent progress in novel optics and laser systems has opened up possibilities to process further metal materials, such as copper and tungsten [1]. In L-PBF, powdered raw material is applied in layers and selectively melted by a focused laser beam. Melting and resolidification lead to cooling rates in the order of 10 6 K/s [2,3]. This concentrated heat input causes residual stresses and warpage, which in turn can result in the formation of defects [4]. Furthermore, the L-PBF process is subject to more than 100 influencing variables [5]. Process instabilities caused by an unfavorable interaction of the process parameters can also lead to the formation of defects. Typical defects that occur in the L-PBF process are the following [6,7]: Poor consolidation and wetting are caused by a varying energy input or wetting properties. It can lead to, e.g., gas pores and lack of fusion pores, which are commonly filled with powder [8].
Delamination refers to partial or complete detachments of individual layer or layer composites. They are mainly caused by residual stresses and insufficient bonding [9,10]. According to Ladewig et al. [11], delaminations usually show an extension of 100 to 300 μm in the level of the individual layers.
Cracks comprise hot cracks and stress cracks, which occur when the strength limits are exceeded due to high-temperature gradients and cooling rates during the buildup process [12,13]. Carter et al. [13] investigated the formation of hot cracks in L-PBF parts made from a nickelbased alloy. The hot cracks mainly developed along the build direction, which also represents the main extension direction of the cracks. The cracks mainly occur along the grain boundaries. Since the microstructure consists of columnar grains along the build direction, the cracks are therefore predominantly located along this direction and thus across the grains. The length of the hot cracks ranged in Carter et al. [13] from less than 100 μm up to a few 100 μm.
Parts with an intolerable number of defects must be reliably identified and subsequently removed from production. To the best knowledge of the authors, only a few studies have been published that investigate the suitability of common nondestructive testing (NDT) methods for the inspection of L-PBF components. However, no comparative study has yet been performed with the NDT methods investigated in this paper on an identical test specimen. In the following, the research activities in the field of NDT of L-PBF components as well as relevant studies on conventionally produced metal components are summarized. In particular, the NDT methods used in this study, which are active infrared thermography (aIRT), X-ray computed tomography (CT), neutron grating interferometry (nGI), and ultrasonic testing (UT), are addressed. All of these methods are suitable for the inspection of metals and alloys suitable for welding and thus also for the metal investigated in this study, which is Inconel 718.
Active infrared thermography (aIRT) Kolb et al. [14] investigated the suitability of aIRT in an ex situ arrangement for L-PBF parts manufactured from the nickel-based alloy 718. The experimental study was thus performed outside an L-PBF machine subsequent to the building process. This examination served as a preliminary study to enable an in situ layerwise monitoring system. Other researchers investigated the suitability of aIRT for ex situ inspection purposes of conventionally fabricated metal parts made of Inconel 718 and a further nickel-based alloy [15,16].
Different assertions can be found in the literature regarding the relationship between the diameter and the depth of the minimum detectable defect using aIRT. The publications refer to metal parts, for which the detection of defects is even more challenging. Compared to polymers, for example, metals have a much higher thermal conductivity. This leads to a lower achievable diameter-todepth ratio of defects to be detected. According to Shepard et al. [17], the detectable diameter-to-depth ratio of defects is limited by the thermal diffusion process inside the material to a minimum value of 1. Merkle et al. [18] verified this statement by conducting various test runs with various materials, such as aluminum, ceramics, and lexan. Maldague et al. [19] reported similar threshold values and stated that this is a valid assumption for homogeneous isotropic materials [20]. It can be assumed that the detection of flaws with a diameter-to-depth ratio of less than 1 is theoretically possible, but practically not achievable in all test situations, especially with highly conductive materials.
X-ray computed tomography (CT) X-ray computed tomography is a well-established method for NDT of additively manufactured parts. In addition to the detection of defects, X-ray CT is used for meteorology purposes. A review of the applications for X-ray CT in additive manufacturing is given in Du Plessis et al. [21]. Lopez et al. [22] discovered that defects as small as 3 μm were recognizable in small L-PBF parts made from AlSi10Mg, Inconel 718, and Ti6Al4V with a square base size of 3-6 mm 2 . The X-ray computed tomography (CT) system used had a minimum spot size of ≤ 6 μm . Tammas-Williams et al. [23] conducted experiments with parts made from the titanium alloy Ti6Al4V, which were fabricated by electron beam melting (EBM). The smallest pores detected by the CT had a diameter of approximately 5 μm.
Neutron radiation Brooks et al. [24] used a combination of a high-resolution neutron tomography system and a grating-based interferometer (nGI) in order to investigate the porosity of titanium cubes with an edge length of 1.5 cm manufactured by EBM. With this test setup, sub-pixel scattering phenomena could be observed, and thus, various pore structures could be identified. However, destructive metallographic tests for validation purposes were not conducted. Michaeloudaki et al. [25] used neutron tomography in order to evaluate the quality of adhesive joints in aluminum. The experiments showed a high conformity of the values for the artificially induced and the measured defective areas, although the detectability depended on the capability to differentiate between different gray levels in the obtained images. In Griesche et al. [26], neutron tomography was used to explore hydrogen embrittlement and blistering in technical iron. A spatial resolution of 25 μm was achieved with the setup.
Ultrasonic testing (UT) Everton et al. [27] studied the suitability of laser-generated surface waves for the detection of the artificial defects in L-PBF parts made from the titanium alloy Ti6Al4V. The experiments were performed in a test facility for laser ultrasonic testing (LUT), where they could be controlled remotely. With the profile images (B-scans), the minimum detectable diameter was 0.725 mm for defects at a depth up to 0.7 mm . Further studies have been conducted applying ultrasonic testing (UT) for in situ monitoring [28][29][30][31][32][33].
The studies described, however, are limited to investigations using only one NDT technique, although in practice it is often advantageous to use different methods. Since, to the best of the authors' knowledge, no studies thus far have provided a comparison of the suitability of the aforementioned NDT methods for detecting defects in metal parts manufactured by L-PBF, this paper evaluates this. A similar study to the one presented in this paper, but concerned with different volumetric NDT techniques, is given in Obaton et al. [34]. Both studies are expected to complement each other well.
In general, NDT methods are compared by first defining the critical defects to be detected (type, dimensions, position) (Effect of Defect) and then determining their Probability of Detection (PoD). Since this manuscript allows, for the first time, a comparison of the NDT methods described previously for an L-PBF part, this publication is to be regarded as a preliminary work for further studies and thus a simplified approach was taken. Therefore, the approach pursued in this paper is as follows. The attainable resolution and defect detection capability of the respective NDT techniques are investigated using a test specimen with artificially inserted defects of varying dimensions and depths. The NDT methods are compared on the basis of their minimum detectable defect size. The diameter-to-depth ratio, which is a common parameter in aIRT, is not suitable due to widely varied operating principles of the respective NDT techniques. In aIRT, the detectability is predominantly limited by the contrast of the transient temperature of the sample surface between defective and non-defective areas. The contrast, in turn, primarily depends on the diameter-to-depth ratio. Detectability in X-ray CT and nGI is, however, mainly limited by the thickness of the material. Above a certain thickness, X-rays and neutrons can no longer pass through the material. In UT, the detectability depends on the location of the defect in the component. This is due to the scattering and attenuation of the elastic waves.
Based on the results, process-specific potentials and constraints were analyzed to support the selection of appropriate methods, depending on the required detection accuracy of the defects of interest.

Test specimen
The experimental investigations were performed using the same test specimen (see Fig. 1) to ensure that the defects measured would be reproducible for all investigated NDT methods and thus the results comparable.
A rectangular cuboid with an edge length of 50 mm and a height of 25 mm served as a test specimen. An arrangement of cylindrically shaped defects was provided in the underlying computer-aided design model. The artificial defects exhibit internal blind holes with almost the same depth, but with varying diameters. These blind holes are located at different distances from the surface and thus have different depths relative to the surface. The blind holes represent artificial features with a limited transferability to process-related defects, such as pores or delaminations. Nevertheless, this study allows sensitivity to be examined to a certain defect size. In addition, the results can provide indications of the feasibility of producing internal geometries of a particular extension and depth, as required for, e.g., cooling channels.
In order to facilitate the subsequent evaluation process, a scale was included on the surface of the test specimen. The x-y-plane represented the plane of a layer in the L-PBF process. The building direction was along the z-axis. In order to facilitate the understanding of the position and orientation of the test specimen in relation to the defect arrangement, the coordinate system introduced was applied for the respective test setups and the corresponding evaluation. The diameter and the depth, defined as the distance to the surface of the cuboid, of the cylindrical voids were systematically varied and arranged in a matrix configuration within the sample.
The hole diameter was gradually set between 20 μm and 2000 μm, and the depth of the defects ranged between 20 μm and 80 μm , with the minimum depth corresponding to the thickness of a single powder layer of the L-PBF process: of the evaluation images. The test specimen was manufactured from the nickel-based alloy Inconel 718 (Oerlikon Metco, Germany; D 50 = 30 μm ) in an L-PBF system (EOSINT M270, Electro Optical Systems (EOS), Germany) with the standard parameter settings suggested by EOS (see Table 1).

Methods
All experiments were conducted at a constant ambient temperature of approx. 20 • C

Active infrared thermography (aIRT)
Active infrared thermography (aIRT) relies on the use of thermal excitation sources to generate a thermal contrast between defects located inside the test specimen and the intact matrix. Typical heat sources are light, ultrasound, or eddy currents [36]. In addition to optical excitation sources, such as those presented by Kolb et al. [14], other modalities like hot air can also be applied [37]. The thermal wave introduced propagates through the test specimen. Depending on the heat diffusion rate of the investigated matrix and occurring defects, the transient temperature of the sample surface gives an indication of the geometrical extension of the defects. Therefore, an infrared camera is usually employed to evaluate the development of the surface temperature over time.
In this paper, the artificially produced channel-like defects were investigated. A heat stream was directed into the channels through the activation of a conventional laboratory heat gun for 30 s (see Fig. 2), heating up the material from the inside. Directly after the hot air flow was  stopped, the sample surface was analyzed in a reflection configuration using the infrared camera (SC 660, FLIR Systems Inc., USA) (see Table 2). It was set up with a 24 • optical lens and an additional close-up lens ( 2.9× , 50 μm ). In a second configuration, heat was applied to the surface with the closed channels. The optical beam path of the camera was set up in both cases in the direction of the channels. Due to the discrepancy of time-dependent thermal wave propagation through the artificial channels compared to the metal matrix, defects caused detectable hot spots at the inspection surface.

X-ray computed tomography (CT)
An X-ray computed tomography (CT) system uses electrically generated X-rays, which are capable of penetrating the test specimen from different angles along a rotation axis (see Fig. 3). As X-rays pass through matter, they are attenuated due to different absorption and scattering effects, leading to a decrease in the initial intensity of the X-ray beam. The attenuation of X-rays is dependent on the density and the atomic number of the material. The amount of radiation reaching the array detector is registered, and two-dimensional X-ray projections of the object are generated. The pixels contained in such an image are represented in terms of the relative radiodensity corresponding to a grayscale. For a typical examination of a test specimen, a series of projections around a 360 • rotation of the object is acquired. A digital three-dimensional volume object is then reconstructed from this raw data, which is composed of small volume elements. These so-called voxels correspond to three-dimensional pixels. After a subsequent segmentation, a digital volume object, comparable to a CAD model, is obtained enabling a qualitative and quantitative analysis of all surfaces and the inside of the test specimen including defects. The X-ray CT system (D2, Diondo, Germany) used for the experiments was equipped with a 300 kV open microfocus X-ray vacuum tube and a 3000 × 3000 pixel flat panel detector. The parameter settings used for the X-ray imaging of the test specimen are given in Table 3. The software provided by Diondo was used for the reconstruction, using the analytical reconstruction with the Feldkamp-Davis-Kress algorithm, of the test specimen and the evaluation of the cross-sectional images. The voxel size of the reconstructed volume was 43.7 μm.

Neutron grating interferometry
Neutron grating interferometry (nGI) is a specialized form of neutron imaging, which makes it possible to simultaneously obtain information about the attenuation, phase shift, and ultra-small-angle scattering of neutrons in material structures in the micrometer range. In Fig. 4, a sketch    of an nGI setup in Talbot-Lau geometry is presented. An nGI setup consists of three line gratings, one phase grating G1, and two absorption gratings G0 and G2 [38,39], placed inside an imaging beamline. G0 divides the neutron beam into an array of coherent line sources, which are mutually incoherent. Downstream, the structuring of G1 causes a periodic phase modulation to be imprinted on the neutron wavefront. This phase modulation causes a complex intensity and phase modulation to appear downstream of G1, called the Talbot carpet. At odd fractional Talbot distances, the intensity modulation reaches its maximum. To analyze this intensity modulation, grating G2 is placed at an odd fractional Talbot distance. For an nGI measurement, one of the gratings has to be moved perpendicular to the grating lines, resulting in an intensity modulation in each detector pixel. The sample changes this intensity modulation, due to attenuation, refraction, and scattering. Through analysis of the intensity modulation and comparison with an nGI measurement without a sample, information about the transmission (TI) and the scattering (DFI) can be recovered [40]. The achievable spatial resolution, resulting from the effective pixel size (27 μm × 27 μm ), the scintillator thickness (100 μm ), and the geometric resolution amounted to 50 to 60 μm . The geometric resolution is defined by the pinhole diameter d pin , the distance L pin,ts , and the distance L ts,d [41]. In contrast, the structure size discernible by the nGI is decoupled from the spatial resolution and instead depends on the correlation length of the nGI setup [42,43]. The correlation length is defined by the neutron wavelength used (4 Å ), the distance between the specimen and G2 (2 cm), and the periodicity of G2 (13.3 μm ) [42]. In the case of this experiment, the value of the correlation length varied, due to the thickness of the specimen, between 0.6 and 1.2 μm.
The experiments were conducted at the ANTARES instrument operated by the FRM II of the Heinz Maier-Leibnitz Zentrum (MLZ) in Garching, Germany [44,45]. The geometric characteristics are given in Table 4.

Ultrasonic testing (UT)
Full matrix capture (FMC) is an emerging ultrasonic data acquisition technique using elastic waves and phased array transducers [46]. Most of these multi-element probes contain N linearly arranged rectangular piezoelectric elements with an individual width of only a few tenths of a millimeter. Thus, the transducer elements are often approximated as line sources for cylindrical waves [47]. During the first FMC pulse, element one emits a highly diverging wavefront into the inspection volume, while all elements are set to receive mode. The wavefront is either penetrating the entire volume or is partly reflected at reflectors like defects. This acquisition process is repeated within milliseconds for all N transducer elements so that a raw data set of N 2 echo signals from all possible transmitter-receiver pairs is recorded. Then, image reconstruction algorithms, such as the total focusing method (TFM) [46], are usually applied. At the beginning of the 2D TFM, the desired imaging plane is discretized into pixels, serving as focal spots. The entire FMC data set is then focused digitally in every point of the image. Therefore, for each recorded echo signal, an amplitude value is extracted at a defined time t. For a given emitter-pixel-receiver combination, t corresponds to a wavefront's time of flight from the transmitter to the focal spot ( t 1 ) and back to the receiver ( t 2 ) (see Fig. 5). A pixel value in the TFM image is then given by the sum of all N 2 extracted amplitudes. The TFM algorithm provides images with an improved sensitivity to small reflectors, since it is based on coherent superposition of returning echo signals and on incoherent noise cancelation, induced, e.g., by grain boundaries [46].
An ultrasonic acquisition unit (OEM-PA 64/64, Advanced OEM Solutions, USA) and a linear phased array probe from Olympus (see Table 5) were used for the FMC recording. For this purpose, the transducer was placed on top of the cubic test specimen, close to the smallest artificial defects, and oil served as couplant. Due to the limited specimen size, only the first 48 of 64 transducer elements present were used for Fig. 4 Schematic illustration of the neutron grating interferometry with the pinhole, the source grating G0, the phase grating G1, the analyzer grating G2 and the detector. The test specimen was positioned between G0 and G1 the FMC data acquisition (see Fig. 5). The digitalization of the recorded echo signals was performed with 12 bits at a sampling rate of 100 MHz . The TFM algorithm was implemented in MATLAB using a pixel size of 0.05 mm . To ensure accurate time-of-flight calculations, the longitudinal speed of sound was experimentally determined to be 5850 m/s perpendicular to the scanning surface.

Metallurgical testing
Subsequent to the NDT investigations, the test specimen was analyzed by metallography to provide a reference characterization method. The aim was to determine whether the artificial defects were also present in the final component. The bottom side of the test specimen was gradually ground and polished to reveal the channels. Subsequently, the microsections were examined using an optical microscope (MM-40, Nikon, Japan) and a scanning electron microscope (SEM) (Tabletop Microscope TM3030 Plus, Hitachi, Japan). Figure 6 shows the sample surface (front view, inset artificial defects) investigated by aIRT as well as the recorded view of the rear (open artificial defects) for comparison. Open defects with an intended diameter of 2000 μm , 1000 μm , 500 μm , and 300 μm were detected when the additional close-up lens was used. However, due to the high heat diffusion rate of the metal matrix, the detectability of inset artificial defects is limited. An incomplete metal matrix surface layer allows the detection of inset defects with a high diameter-to-depth ratio (minimum of 25), which was already shown by Kolb et al. [14] for pulse thermography experiments. Due to the temperature difference of hot air (inset air channels) and the metal matrix surface layer, a distinct thermal contrast resulted. However, if the diameter-to-depth ratio becomes smaller, the increased density of the high heat diffusion metal cover layer prevents the formation of a thermal contrast for defect detection for the closed artificial defects. Furthermore, the melting tracks resulting from the L-PBF process are clearly visible in the image recorded from the front.

X-ray computed tomography (CT)
The CT images of the test specimen are given in Fig. 7. Both a top view and sectional views are depicted, whereby the evaluation lines were set in parallel to the printed scale. The images show a low contrast, which is reasoned in, e.g., occurring radiation effects, which were mainly caused by the high density of the material. The radius or diameter, respectively, of the defects of the first three rows with an intended diameter of 2000 μm , 1000 μm, and 500 μm was measurable. The defects with a diameter of 300 μm are barely visible due to low contrast. However, it was not possible to determine the entire circumferential surface area precisely, nor thus the diameter along the entire canal. Defects with a diameter of less than 300 μm were neither indicated in the images nor measurable. The droplet-shaped defects that are subject to further studies were recognizable in the images.

Neutron grating interferometry (nGI)
The investigations within nGI demonstrated that the DFI and the TI image are suitable for the characterization of the artificial defects. A distinct contrast was obtained for the flaws of the rows with an intended diameter of 2000 μm , 1000 μm , 500 μm , 300 μm , and 200 μm for both   image types (see Fig. 8). In the TI image, a clear contrast is discernible for two defects with an intended diameter of 100 μm . The droplet-like defects led to a significant contrast in the DFI image, but not in the respective TI image. The TI depends on the thickness, density, and attenuation coefficient of the material in the path of the neutron beam. In contrast, the DFI depends on the thickness, the scattering coefficient, and microstructure of the material. The droplets have a different microstructure than the surroundings. This configuration thus results in no signal difference in the TI, but causes a signal change in the DFI. This indicates that the suitability of the respective evaluation methods depends on the depth and dimensions of the defects to be investigated. Consequently, a combination of both image types for analysis purposes may yield more comprehensive results. Figure 9 shows the 2D-TFM reconstruction result of the test specimen. Reflectors with diameters between 300 μm and 2000 μm could clearly be detected. The latter, however, appear smaller in size in the TFM image and show a lower pixel intensity. This is caused by the probe position on the specimen's surface and the blind hole arrangement, as the smaller superjacent flaws partially shadow the 2000 μm reflectors. Regardless of the chosen inspection surface, holes smaller than 300 μm ( ∼ ∕2 ) could not be detected with the test configuration.

Metallography
The analysis of the microsections in the SEM images revealed that only the defects of the first three rows with an intended diameter of 2000 μm , 1000 μm, and 500 μm could be clearly identified (see Fig. 10). Significant powder deposits on the inner walls of the channels are recognizable in the SEM images. The smaller  the diameter of the defect, the greater seems to be the influence of the powder accumulations on the dimensional accuracy of the defect geometry. For the defect with an intended diameter of 1000 μm, even a solidified connection between opposite points of the inside of the wall is discernible (see Fig. 10b). The findings within SEM are consistent with the results of the optical microscope, whereby no definite conclusions can be drawn regarding the geometry of the defects. Due to the manual preparation of the respective cutting planes of the test specimen as well as the evaluation process, random pores could barely be distinguished from artificial defects with decreasing diameter. Defects with a diameter of less than 500 μm could not be detected with sufficient certainty by microscopic imaging. However, delaminations and cracks can be in the order of magnitude of a few 100 μm . These defect types predominantly lead to component failure, while pores, especially small pores, usually cause rather minor weakening of the mechanical component properties [49,50]. If these are present in large numbers, they can also negatively affect the mechanical properties [51]. Furthermore, it was observed that the test specimen contains a large number of natural defects, which are in the order of magnitude of the artificial defects with a diameter of 20 μm and smaller (Fig. 11).

Discussion
The characteristics of the defect detectability and specification depend strongly on the NDT methods, sensors, and devices used. The results of this study are discussed individually for the NDT methods in the following: aIRT The results from the aIRT displayed the lowest resolution. The open artificial defects were detected up to a defect size of 300 μm . The closed artificial defects were not identified. It is possible that with a different excitation, for example, ultrasonic or inductive excitation, these defects could be detected. Nevertheless, the findings showed that aIRT is suitable for investigating surface inhomogeneities, such as the melting tracks and exposed defects. With the aim of improving the resolution achieved with aIRT in further studies, the suitability of different excitation sources, such as flash excitation, must be investigated further. An essential advantage of aIRT is that it enables contactless component inspections. The test surface, however, must be accessible for the sensor system, which can be challenging for AM components that are often geometrically complex. Besides, a non-uniform heat input or environmental disturbances can also negatively affect the measurement results. The decrease in sensitivity with an increasing inspection depth limits ex situ aIRT applications. Layerwise monitoring of the L-PBF process in the infrared spectrum, however, allows small flaws close to the build surface, such as a lack of fusion [52], to be detected.
X-ray CT The volumetric analysis of the test specimen provides precise information on the defect specification and location. The contrast in the measurement results of this study, however, was comparably low, which was mainly caused by scattered radiation and the high X-ray attenuation of the material. This prevented the features introduced that were less than or equal to 300 μm from being detected reliably. In addition, due to the high density of the material, a high tube voltage and current were used to achieve sufficient contrast. However, this leads to a larger spot and thus to a poorer resolution. It should be noted that this low resolution is also a consequence of the rather large sample and the resulting low magnification.
More modern X-ray systems, such as the Xradia 620 Versa from Zeiss, could still achieve high resolution in this case by using optical magnification in addition to geometric magnification. Another factor limiting the detectability of the defects is entrapped powder in the artificial defects. If the resolution is not sufficient to distinguish the powder particles from the bulk material, defects cannot be detected. In Obaton et al. [34], a similar specimen with artificial defects was investigated using X-ray CT with a synchrotron X-ray source. The voxel size achieved was 23.3 μm .
With this setup, defects as small as 150 μm were detected, which is the smallest size of the artificial defect in the sample. The higher resolution compared to the setup in this paper results from the different CT setup. The geometric complexity of AM components is not as critical for the applicability of CT as it is for other volume inspection methods, like ultrasonic testing. Due to the contactless measurement concept, conventional CT systems do not require the development of elaborate coupling or sensor mounting concepts, for example. Nevertheless, the achievable sensitivity for irregular part geometries deteriorates with conventional circular measurement trajectories and reconstruction algorithms. This is caused mainly by scattered radiation and lack of penetration, among other factors, which worsen the overall image quality. Furthermore, scattering and attenuation are influenced by the type of material, in particular their density and atomic number. Titanium and aluminum are less dense compared to Inconel, which enables higher possible resolution capability. Despite these limitations, CT is a very powerful inspection technique for reliably evaluating a large number of different defect types in metallic components and is thus often the primary choice in the AM field.
nGI The smallest and deepest defects were recognizable with nGI. nGI can, in some cases, be considered a complementary NDT method to X-ray CT. Radiography with neutrons allows both light and heavy elements to be analyzed, since the neutron attenuation cross section does not show an ordered dependence on the atomic number. In contrast, radiography with X-rays has a wellordered dependence of the attenuation cross section on the atomic number, with higher atomic numbers leading to a larger cross section. By extending nGI to 3D (tomography), the geometrical extension of defects can be further investigated.
UT Using the total focusing method yielded a higher resolution of the defects compared to aIRT. TFM facilitates a layer-by-layer examination of the test specimen and also allows a three-dimensional reconstruction when matrix arrays are chosen. In order to further optimize the TFM result, more precise velocity data are required. In this context, an isotropic sound velocity of the longitudinal wave mode was considered in this study (i.e., the velocity perpendicular to the inspection surface). The build direction of additively manufactured parts can, however, affect the elastic properties and thus the speed of sound (see Tofeldt et al. [53]). By incorporating anisotropic velocity data into the TFM algorithm, imprecise or unwanted phase summations can be avoided, improving the sensitivity to smaller defects [48]. In the presented study, defects with a diameter larger than 300 μm could be identified. A comparable study is given in Obaton et al. [34]. In this, defects as small as 100 μm were visualized with TFM. The higher resolution compared to our study may be due to the different material, which was investigated. The specimen in Obaton et al. [34] was manufactured from aluminum, which is less anisotropic than Inconel 718. Furthermore, Inconel 718 scatters the elastic waves more strongly, which leads to higher noise levels. In general, ultrasonic testing can be challenging when inspecting rough materials that are irregular in shape. A robust coupling concept including an automated inspection is required to process detailed images from the recorded raw data.
Metallurgical testing The analysis of the microsections showed that it is hard to distinguish smaller defects clearly from random inhomogeneities, such as pores. Therefore, it is challenging to evaluate which defects were present in the test specimen investigated. It is expected that small defects would be closed during the manufacturing process, since the diameter of the smallest artificial defects is in the order of magnitude of the diameter of few powder particles. Unconsolidated powder particles can be attracted by the melt pool, leading to a partial closure of the channels. Also, the preparation steps, such as grinding and polishing, can lead to the closure of the defects on the prepared surface.
It is fair to state that the attainable resolution for all examined NDT methods depends significantly on the dimensions of the test specimen. For the specimens tested in this study, the minimum detected defect sizes are given in Table 6. The best resolution was achieved with nGI. Defects with a minimum detected defect diameter of 100 μm could be recognized. This demonstrates that artificial defects of this size can be produced through the L-PBF process. However, the results do not allow any conclusions to be drawn regarding the minor defects. It is not possible to determine whether smaller defects were not detected by the NDT methods or were not present in the test specimen. The latter is caused by instabilities in the generation of the respective melting tracks. Powder in the cavities can . This leads to a melting and remelting of the unsolidified powder contained in the cavities and thus to a closing of the artificial defects. Furthermore, based on the findings of this study and the experience of the respective research groups, the NDT methods were assessed with regard to their properties in Table 7. The assumptions in Table 7 were made on the basis of the results of this article, literature research, and the experience of the respective research groups involved in the article. This table is intended to give the reader only a first impression of the main properties of the individual NDT methods for testing additive manufactured materials. The respective properties always depend on the specific inspection task and the available resources and may therefore also differ from this table.

Conclusions
This paper presents a first comparison of a selection of NDT methods with respect to their defect detection capability in L-PBF parts made from Inconel 718. The investigated methods included active infrared thermography (aIRT), X-ray computed tomography (CT), neutron grating interferometry (nGI), and ultrasonic testing (UT). For reasons of reproducibility, the experiments were performed with the same test specimen containing artificial defects with varying diameters and depths in an ex situ setup. The findings of this paper can be summarized as follows: • The best resolution was achieved with nGI. However, this is also the most time-consuming and expensive method. • An alternative to nGI for detecting defects in a volume is X-ray CT. For small samples, X-ray CT offers good resolution in the m range. As the sample size increases or the material becomes denser, the resolution becomes much poorer until the X-rays are no longer transmitted through the part. In this case, UT could be advantageous. • aIRT offers a fast and easy analysis of near-surface defects. However, the resolution and especially the penetration depth are worse compared to the other NDT methods. Subsurface defects could not be detected in this study, which limits the application of this method.
Consequently, the findings corroborate that the use of different NDT methods can compensate for the disadvantages of the methods. For example, X-ray CT could be used to validate UT in small parts to examine larger parts with UT.
Investigating the method-dependent Probability of Detection remains a crucial effort in the future. This requires a significantly larger scope and test specimens with a wide distribution of defect sizes. Since particularly small defects cannot be artificially produced, naturally occurring defects are required for this study. These process-related defects can be caused by process instabilities due to an unfavorable variation of the process parameters. In addition, the analysis of the maximum defect resolution as a function of the dimensions and geometric complexity of the test specimen and its material is an important aspect for further investigations. Another influence that is of interest for the detection of defects is their morphology and thus the type of defect.  Typical application fields Sample inspection, analysis of prototypes Sample inspection, 100 % inspection in series production, analysis of prototypes, validation of in-process data Analysis of prototypes, validation of in-process data Sample inspection, analysis of prototypes Further potentials Significant price and performance improvements of infrared cameras expected Trend toward more powerful CT systems to increase the radiolucency and resolution Extension to 3D possible (tomography) Trend toward reconstruction algorithms (e.g., the part geometry or anisotropic sound velocity data can be considered) Vol:. (1234567890) Research Article SN Applied Sciences (2021) 3:713 | https://doi.org/10.1007/s42452-021-04685-3 Funding Open Access funding enabled and organized by Projekt DEAL. This research did not receive any specific grant from funding agencies in the public, commercial, or non-for-profit sector. The experiments investigating the capability of neutrons for the defect detection were conducted at the ANTARES instrument operated by FRM II of the Heinz Maier-Leibnitz Zentrum (MLZ), Garching, Germany. Furthermore, this work was supported by FIT AG, Lupburg, Germany, who provided CT scans. The authors would like to thank Brigitte Hadler from the Institute for Machine Tools and Industrial Management of the Technical University of Munich. The contributions of all institutions to this work are gratefully acknowledged.

Data availability
The raw/processed data required to reproduce these findings cannot be shared at this time due to technical or time limitations.

Conflict of interest The authors have no conflicts of interest.
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