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In this work, two X-ray refraction based imaging methods, namely, synchrotron X-ray refraction radiography (SXRR) and synchrotron X-ray refraction computed tomography (SXRCT), are applied to analyze quantitatively cracks and porosity in metallic materials.
SXRR and SXRCT make use of the refraction of X-rays at inner surfaces of the material, e.g., the surfaces of cracks and pores, for image contrast. Both methods are, therefore, sensitive to smaller defects than their absorption based counterparts X-ray radiography and computed tomography. They can detect defects of nanometric size.
So far the methods have been applied to the analysis of ceramic materials and fiber reinforced plastics. The analysis of metallic materials requires higher photon energies to achieve sufficient X-ray transmission due to their higher density. This causes smaller refraction angles and, thus, lower image contrast because the refraction index depends on the photon energy. Here, for the first time, a conclusive study is presented exploring the possibility to apply SXRR and SXRCT to metallic materials. It is shown that both methods can be optimized to overcome the reduced contrast due to smaller refraction angles. Hence, the only remaining limitation is the achievable X-ray Transmission which is common to all X-ray imaging methods. Further, a model for the quantitative analysis of the inner surfaces is presented and verified.
For this purpose four case studies are conducted each posing a specific challenge to the imaging task. Case study A investigates cracks in a coupon taken from an aluminum weld seam. This case study primarily serves to verify the model for quantitative analysis and prove the sensitivity to sub-resolution features. In case study B, the
damage evolution in an aluminum-based particle reinforced metal-matrix composite is analyzed. Here, the accuracy and repeatability of subsequent SXRR measurements is investigated showing that measurement errors of less than 3% can be achieved. Further, case study B marks the fist application of SXRR in combination with in-situ tensile loading. Case study C is out of the highly topical field of additive manufacturing. Here, porosity in additively manufactured Ti-Al6-V4 is analyzed with a special interest in the pore morphology. A classification scheme based on SXRR measurements is devised which allows to distinguish binding defects from keyhole pores even if the defects cannot be spatially resolved. In case study D, SXRCT is applied to the analysis of hydrogen assisted cracking in steel. Due to the high X-ray attenuation of steel a comparatively high photonenergy of 50 keV is required here. This causes increased noise and lower contrast in the data compared to the other case studies. However, despite the lower data quality a quantitative analysis of the occurance of cracks in dependence of hydrogen content and applied mechanical load is possible.
Additive manufacturing technologies provide unique possibilities in the production of topologically optimized, near-net shape components. The main limiting factors affecting the structural integrity of Laser Powder Bed Fusion (LPBF) parts are manufacturing defects and residual stress (RS) because both of them are virtually inevitable. Taking into account the complex thermal history of LPBF materials, a prediction of the material behavior is not possible without experimental data on the microstructure, defect distribution, and RS fields. Therefore, this thesis aims to understand the factors that influence the LPBF Ti-6Al-4V material performance the most, covering both the production and the post-processing steps of manufacturing.
Indeed, a parametric study on the influence of manufacturing process and post-processing on RS, defects and microstructure was performed. It was found that the volumetric energy Density (EV), commonly used for the LPBF process optimization, does neither consider the pore shapes and distribution, nor the influence of individual parameters on the volume fraction of pores.
Therefore, it was recommended not to use EV without great care. It was shown that the Position on the base plate has a great impact on the amount of RS in the part.
The micromechanical behavior of LPBF Ti-6Al-4V was also studied using in-situ Synchrotron X-ray diffraction during tensile and compression tests. Diffraction elastic constants (DEC), connecting macroscopic stress and (micro) strain, of the LPBF Ti-6Al-4V showed a difference
from the DEC of conventionally manufactured alloy. This fact was attributed to the peculiar microstructure and crystallographic texture. It was therefore recommended to determine experimentally DECs whenever possible.
Low Cycle Fatigue (LCF) tests at a chosen operating temperature were performed to evaluate the effect of post-treatment on the mechanical performance. Through the information on the microstructure, the mesostructure, and the RS, the LCF behavior was (indirectly) correlated to the process parameters. It was found that the fatigue performance of LPBF samples subjected to hot isostatic pressing is similar to that of hot-formed Ti-6Al-4V. The tensile RS found at the
surface of LPBF as-built samples decreased the fatigue life compared to the heat-treated samples. The modification of the microstructure (by heat treatment) did not affect the Fatigue performance in the elastic regime. This shows that in the absence of tensile RS, the manufacturing defects solely control the failure of LPBF components and densification has the strongest effect on the improvement of the mechanical performance.
Additive Manufacturing (AM) in terms of laser powder-bed fusion (L-PBF) offers new prospects regarding the design of parts and enables therefore the production of lattice structures. These lattice structures shall be implemented in various industrial applications (e.g. gas turbines) for reasons of material savings or cooling
channels. However, internal defects, residual stress, and structural deviations from the nominal geometry are unavoidable.
In this work, the structural integrity of lattice structures manufactured by means of L-PBF was non-destructively investigated on a multiscale approach.
A workflow for quantitative 3D powder analysis in terms of particle size, particle shape, particle porosity, inter-particle distance and packing density was established.
Synchrotron computed tomography (CT) was used to correlate the packing
density with the particle size and particle shape. It was also observed that at least about 50% of the powder porosity was released during production of the struts.
Struts are the component of lattice structures and were investigated by means of laboratory CT. The focus was on the influence of the build angle on part porosity and surface quality. The surface topography analysis was advanced by the quantitative characterisation of re-entrant surface features. This characterisation was compared with conventional surface parameters showing their complementary
information, but also the need for AM specific surface parameters.
The mechanical behaviour of the lattice structure was investigated with in-situ CT under compression and successive digital volume correlation (DVC). The Deformation was found to be knot-dominated, and therefore the lattice folds unit cell layer wise.
The residual stress was determined experimentally for the first time in such lattice structures. Neutron diffraction was used for the non-destructive 3D stress investigation. The principal stress directions and values were determined in dependence of the number of measured directions. While a significant uni-axial stress state was found in the strut, a more hydrostatic stress state was found in the knot. In both cases, strut and knot, seven directions were at least needed to
find reliable principal stress directions.
The present work is intended to make a contribution to the monitoring of civil engineering structures. The detection of damage to structures is based on the evaluation of spatially and temporally distributed hybrid measurements. The acquired data can be evaluated purely geometrically or physically. It is preferable to do the latter, since the cause of damage can be determined by means of geometrical-physical laws in order to be able to intervene in time and ensure the further use of the structures. For this reason, the continuum mechanical field equations in conjunction with the finite element method and hybrid measurements are combined into a single evaluation method by the adjustment calculation. This results in two challenges.
The first task deals with the relationship between the finite element method and the method of least squares. The finite element method solves certain problem classes, which are described by a system of elliptical partial differential equations. Whereas the method of least squares solves another class of problems, which is formulated as an overdetermined system of equations. The striking similarity between both methods is known since many decades. However, it remains unresolved why this resemblance exists. The contribution is to clarify this by examining the variational calculus, especially with regard to its methodological procedure. Although the well-known Gauss-Markov model within the method of least squares and the finite element method solve inherently different problem classes, it is shown that both methods can be derived by following the same methodological steps of the variational calculus. From a methodical viewpoint, this implies that both methods are not only similar, but actually the same. In addition, it is pointed out where a possible cross-connection to other methods exists.
The second task introduces a Measurement- and Model-based Structural Analysis (MeMoS) by integrating the finite element method into the adjustment calculation. It is shown in numerical examinations how this integrated analysis can be used for parameter identification of simple as well as arbitrarily shaped structural components. Based on this, it is examined with which observation types, with which precision and at which location of the structure these measurements must be carried out in order to determine the material parameters as precisely as possible. This serves to determine an optimal and economic measurement set-up. With this integrated analysis, a substitute model of a geometrically complex structure can also be determined. The issue of the detection and localisation of damage within a structure is studied by means of this structural analysis. The Measurement and Model-based Structural Analysis is validated using two different test setups, an aluminum model bridge and a bending beam.
The present work is intended to make a contribution to the monitoring of civil engineering structures. The detection of damage to structures is based on the evaluation of spatially and temporally distributed hybrid measurements. The acquired data can be evaluated purely geometrically or physically. It is preferable to do the latter, since the cause of damage can be determined by means of geometrical-physical laws in order to be able to intervene in time and ensure the further use of the structures. For this reason, the continuum mechanical field equations in conjunction with the finite element method and hybrid measurements are combined into a single evaluation method by the adjustment calculation. This results in two challenges.
The first task deals with the relationship between the finite element method and the method of least squares. The finite element method solves certain problem classes, which are described by a system of elliptical partial differential equations. Whereas the method of least squares solves another class of problems, which is formulated as an overdetermined system of equations. The striking similarity between both methods is known since many decades. However, it remains unresolved why this resemblance exists. The contribution is to clarify this by examining the variational calculus, especially with regard to its methodological procedure. Although the well-known Gauss-Markov model within the method of least squares and the finite element method solve inherently different problem classes, it is shown that both methods can be derived by following the same methodological steps of the variational calculus. From a methodical viewpoint, this implies that both methods are not only similar, but actually the same. In addition, it is pointed out where a possible cross-connection to other methods exists.
The second task introduces a Measurement- and Model-based Structural Analysis (MeMoS) by integrating the finite element method into the adjustment calculation. It is shown in numerical examinations how this integrated analysis can be used for parameter identification of simple as well as arbitrarily shaped structural components. Based on this, it is examined with which observation types, with which precision and at which location of the structure these measurements must be carried out in order to determine the material parameters as precisely as possible. This serves to determine an optimal and economic measurement set-up. With this integrated analysis, a substitute model of a geometrically complex structure can also be determined. The issue of the detection and localisation of damage within a structure is studied by means of this structural analysis. The Measurement and Model-based Structural Analysis is validated using two different test setups, an aluminum model bridge and a bending beam.
Diese Arbeit beschäftigt sich mit den Eigenschaften der photonenzählenden und spektralauflösenden Detektortechnik und möglichen Anwendungsgebieten in der zerstörungsfreien Prüfung. Dabei wurden konventionelle und photonenzählende Detektortechniken hinsichtlich der Bildqualität und Anwendbarkeit bei unterschiedlichen Prüfaufgaben verglichen und untersucht, inwiefern sich die Energieschwellwertsetzung auf die erreichbare Bildqualität und eine Materialdiskriminierbarkeit bei verschiedenen radiographischen Verfahren auswirkt.
Anhand von Anwendungsbeispielen wurden diese Eigenschaften und deren Auswirkung auf das Messergebnis analysiert. Neben der Radiographie wurden auch dreidimensionale Verfahren wie CT und Laminographie berücksichtigt.
Als eine der wichtigsten Eigenschaften der photonenzählenden Detektortechnik wurden zunächst die Energieauflösung des photonenzählenden Detektors und die Homogenität der Energieantwort über größere Detektorbereiche bestimmt. Dabei stellte sich heraus, dass die Energieauflösung eines abgegrenzten Detektorbereichs ca. 32 % bei 60 keV beträgt und die Streuung in der Energieantwort der einzelnen Detektorbereiche ca. 12 % ausmacht, woraus sich eine Gesamtunsicherheit in der spektralen Detektorantwort von ca. 44 % ergibt. Die geringe Energieauflösung und das stark heterogene Verhalten der Detektorbereiche ergeben sich vor allem aus der Detektorelektronik, welche nur eine globale Energieschwellwertsetzung zulässt.
Trotz dieser Einschränkungen konnte demonstriert werden, dass auch konventionelle radiographische Verfahren, wie Radiographie oder CT, vom Einsatz der photonenzählenden Technik profitieren. So ist es mit dieser Technik möglich, bei sehr geringen Dosisleistungen (z.B. aufgrund der Durchstrahlung großer Wandstärken von dichten Materialien) noch sehr gute Bildqualitäten zu erreichen. Die hohe Dynamik und Kontrastempfindlichkeit dieser Technik begünstigen die Inspektion von Leichtbauwerkstoffen wie Faserverbunde, was anhand von Vergleichen mit herkömmlicher Detektortechnik und anderen ZfP-Verfahren gezeigt werden konnte. Daneben konnte durch den Einsatz der Energieschwellwertsetzung der Einfluss von nicht bildzeichnender Streustrahlung im Röntgenbild um bis zu 20 % reduziert werden. Die Auswirkungen von Aufhärtungseffekten in der CT konnten sogar um bis zu Faktor 1 000 (in der mittleren quadratischen Abweichung), im Vergleich zu herkömmlicher Detektortechnik, reduziert werden.
Der Einsatz von photonenzählender Detektortechnik mit Röntgenblitzröhren ist hingegen nicht sinnvoll, da aufgrund der hohen Photonendichte pro Puls und einer endlichen Totzeit des Detektors in der Größenordnung der Pulsbreite eines Blitzes nur ein geringes Signal detektiert werden kann.
Im Hinblick auf eine Materialdiskriminierbarkeit konnte demonstriert werden, dass im Fall einer Radiographie anhand der Energieschwellwertsetzung im Detektor eine materialstärkenunabhängige Diskriminierung zwischen zwei Materialien (hier: Al und Fe) erzielt werden kann. Unter Einsatz mehrerer Energiefenster und eines Verfahrens der explorativen und multivariaten Datenanalyse konnte eine materialaufgelöste CT eines Multi-Material-Phantoms erreicht werden, wobei die Schwächungskoeffizienten der enthaltenen Materialien im relevanten Energieberiech teilweise sehr dicht beieinander lagen.
Neben Radiographie und CT wurde auch die Möglichkeit einer materialaufgelösten Laminographie am Beispiel eines glasfaserverstärkten Rotorblatts untersucht. Anhand der Energieschwellwertsetzung war nicht nur eine eindeutige Trennung der Glasfasern von der Epoxidharzmatrix möglich, sondern auch eine signifikante Reduzierung der durch die Laminographie entstandenen Artefakte. Der damit verbundene Gewinn an Information führt zu einer verbesserten Aussagefähigkeit des Untersuchungsergebnisses, was letztendlich eine gesteigerte Betriebssicherheit zur Folge hat.