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Design methodology of vessel produced by L PBF stainless steel using representative specimens
(2022)
This work presents the preliminary results of an ongoing project with a double objective: on the one hand, the characterisation of the mechanical properties against fatigue damage of an additively manufactured 316 stainless steel produced by laser powder bed-based (L-PBF) technology; on the other hand, the implementation of numerical simulation techniques able to predict the mechanical behaviour of the material in order to optimise and reduce the design costs of vessels used in the chemical sector. The current state of the work developed in this research framework allows showing the first batch of experimental results of crack propagation rate (FCGR) and high cycle fatigue (HCF) tests. The geometry of the vessels studied presents three clearly differentiated regions, either in terms of thickness (11-15 mm) or concerning the inclination of the walls to the direction of manufacturing (0º - 45º). The experimental campaign carried out so far allows identifying the differences in behaviour when comparing different extraction locations around the vessel. This is due to the variations in thermal cycles that the deposited material undergoes during the manufacturing process. Therefore, this causes variations in the microstructure which lead to changes in the response of the material. In this work, these differences are analysed qualitatively and quantitatively from the results of FCGR and HCF, thus allowing to locate the regions with the highest risk in terms of structural integrity against fatigue. This preliminary phase together with the numerical simulation of the additive manufacturing process are key to achieving a reliable description and modelling of the material. The latter will make it possible to address the priority aim of this project, involving the manufacture of independent samples whose properties are representative of the original material extracted from the reference vessels. It is, therefore, a comprehensive methodology for the design of additively manufactured components based on the localised fatigue mechanical properties of representative specimens.
La tecnología de fabricación aditiva (AM) continúan progresando y permitiendo alcanzar diseños cada vez más complejos y optimizados. La industria química es uno de los sectores donde componentes AM han adquirido un gran interés. La falta hasta la fecha de una directiva europea que regule la inspección, certificación y aceptación de equipos sometidos a presión hace necesario progresar en esta línea. El objetivo que se persigue en este trabajo es el de desarrollar una metodología de diseño sobre componentes fabricados aditivamente basada en la estimación de vida a fatiga de las zonas más susceptibles de sufrir dicho tipo de fallo. El estudio comprende diversas facetas de análisis, simulaciones numéricas, análisis de la microestructura del material y una extensa campaña experimental. La evaluación de la integridad estructural se realiza aplicando mecánica de fractura. La historia térmica a lo largo del proceso de fabricación determina la microestructura del componente en cada región y, por ende, influye en las propiedades mecánicas en cada una. Se presentan los resultados preliminares de un proyecto de investigación en curso dirigido a la caracterización de propiedades mecánicas en recipientes de presión producidos por fusión láser en lecho de polvo (L-PBF, por sus siglas en inglés) de acero inoxidable 316L. Se detallan los resultados preliminares en términos de velocidad de crecimiento de grietas por fatiga (FCGR), y se comparan los resultados de probetas extraídas de diferentes regiones de los depósitos.
Se presenta una guía completa del procedimiento experimental para la determinación del valor umbral ΔKth intrínseco y caracterización de curvas FCGR sobre el acero de alta resistencia S960QL empleando probetas de pequeña escala. El análisis se realiza comparando probetas SENB de diferentes geometrías, distinguiendo entre “convencionales” y “miniatura”. Las primeras con espesor (B) de 6 mm y anchura (W) de 19, y las segundas con B = 3 y dos valores distintos de W, 4 y 6 mm. A fin de identificar el valor umbral ΔKth intrínseco, la relación de cargas (R) aplicada en todos los ensayos fue 0,8. La técnica de caída de potencial (DCPD) se utilizó para la monitorización del tamaño de grieta a lo largo de los ensayos.
La evaluación de los resultados experimentales confirma la equiparación de resultados entre las distintas geometrías y configuraciones de ensayo practicadas, así como la viabilidad de emplear probetas de pequeña escala en la determinación del valor umbral ΔKth intrínseco. Esto abre nuevas perspectivas en lo relativo al empleo de probetas de reducidas dimensiones en la caracterización de materiales a fatiga. A su vez, permite ofrecer una serie de recomendaciones para reproducir con éxito ensayos semejantes utilizando probetas de pequeñas dimensiones de acero y otros materiales metálicos.
This plenary lecture aims at showing the progress in the experimental determination of the fatigue propagation resistance in metals and its application to fatigue assessment. In particular, different new experimental techniques are introduced, which allow a better description of the crack propagation resistance from short to long crack regime. These data can be then applied in the fatigue assessment to predict the fatigue limit and the total life of metallic components.
The Kitagawa-Takahashi (KT) diagram is a proven concept for describing the fatigue limit in presence of a defect or crack. It can be determined empirically with great experimental effort. It can also be estimated by means of the El Haddad relationship if the endurance limit and the long fatigue crack propagation threshold are available in reasonable accuracy. A third option is the determination using the cyclic R-curve, which describes the dependency of the fatigue crack propagation threshold on the crack growth at the short crack propagation stage. This can be experimentally determined using a closure-free initial pre-crack. It can then be applied to the determination of crack arrest for a given applied load and a given defect or crack size. Compared to the other two methods mentioned above, this option has considerable advantages: It can be applied to any component and any stress ratio. It allows the treatment of multiple cracks and provides estimations of the S-N curve in the finite life regime as well as at the endurance limit. Compared to the empirical determination of the KT diagram, the experimental effort is significantly lower and compared to the El Haddad approach it avoids problems such as the use of non-conservative long fatigue crack propagation thresholds (when the conventional load reduction method is applied to materials prone to corrosion) and the mathematical predetermination of the curve shape. The work introduces the method and provides a critical discussion as well as quantitative comparison between the different methods.
IBESS steht für „Integrale Bruchmechanische Ermittlung der Schwingfestigkeit von Schweißverbindungen“ und ist das Ergebnis eines DFG-AiF-Clusters, an dem acht Partner beteiligt waren. Kernstück ist eine analytische Methode zur bruchmechanischen Beschreibung der Rissausbreitung unter Schwingbelastung, die im IBESS-Teilprojekt A3 entwickelt wurde. Da man es im Bereich der Schwingfes-tigkeit mit kurzen Rissen zu tun hat, auf die die etablierten Methoden der Langrissbruchmechanik nicht anwendbar sind, wurden Lösungen entwickelt, die es erlauben, sowohl die rissnahen Plastizitätsverhältnisse als auch die mit wachsendem Riss graduell zunehmenden Rissschließeffekte quantitativ zu beschreiben. Unter Einbeziehung der sogenannten „zyklischen R-Kurve“, deren experimentelle Methodik ebenfalls im Rahmen des Projekts weiterentwickelt wurde, ist es zudem möglich, Ausgangsrissgrößen vorherzusagen, die auf Dauerfestigkeitsniveau gerade so noch arretieren würden. Dies erlaubt umgekehrt eine Abschätzung der Dauerfestigkeit an den Schweißverbindungen sowie die statistisch basierte, analytische Vorhersagen des Zeitfestigkeitsastes der Wöhlerkurve. In diesem Aufsatz wird die Methodik vorgestellt und ihre Validierung an einem ausgewählten Beispiel diskutiert.
In diesem Aufsatz wird eine analytische Prozedur zur bruchmechanischen Beschreibung des Schwingverhaltens von Schweißverbindungen beschrieben, die im Rahmen des DFG-AiF-Clusters IBESS entwickelt wurde. Es wurden drei Verbindungen untersucht (Stumpfstöße, Kreuzstöße und Längssteifen), die aus warmgewalzten Stahlplatten produziert wurden. Die analytische Modellierung basierte auf drei wichtigen Aspekten: Quantitative Beschreibung der Rissausbreitung mechanisch-kurzer Risse; Statistische Effekte infolge der Variabilität der lokalen Schweißnahtgeometrie; Modellierung der Mehrfachrissinitiierung und des Mehrfachrisswachstums. Im Folgenden wird die Methodik vorgestellt und ihre Validierung an einem ausgewählten Beispiel diskutiert.
The 21st century brought new and complex technological challenges, which need to be solved. Of primary importance is the global energy transition that pushes forward the research and innovation in order to achieve the goal of replacing the existing non-renewable energy sources with new renewable and efficient ones, with positive effects on the world climate. In many countries worldwide mid- and long-term goals have been set out in order to reduce the greenhouse gas emissions. Germany, among others, intends to reduce the emissions by 80 to 95% within 2050, compared with 1990 levels. The achievement of this goal is aimed to be realized by the development of new and more efficient energy sources, but also by substantial investments in electromobility (the goal is to bring one million electrically driven vehicles onto German streets by 2020).
Another important challenge came into play following the global financial crisis, which pushed many industries to reduce their operational and maintenance costs. In particular, the life-cycle management of a component has become of primary importance. In some cases it has been shown that the underestimation or the lack of awareness in ageing of plants led to incidents due to the loss of technical integrity. Other studies demonstrated that the component life of many of the long-life components could be extended up to 50% without compromising safety.
The third, not less important, challenge is driven by the development of new technologies and materials. The trends show a large investment in additive manufactured metal components and new metallic materials which have to assure longer in-service life, lightweighting and efficient recycling.
This works aims at addressing part of these problems by proposing a fracture mechanics-based analytical procedure for the determination of the fatigue lives of engineering components and particularly of welded joints. In fact, an analytical tool, which is able to simulate the main failure mechanisms of weldments under fatigue loading, brings many advantages: i) drastic reduction of long and expensive experimental tests; ii) optimization of the geometry and production processes (possible weight reduction); iii) better estimate of the safety margins used in the design of the components (life extension without safety issues).
The results show that the model can fairly well predict the lives of the welded joints investigated experimentally, irrespective of the geometry and loading conditions.
The work aims at addressing the modelling and implementation of criteria for multiple crack propagation, including interaction and coalescence, for a more reliable fracture mechanics-based prediction of stress-life curves for weldments.
A large experimental work is presented in which micro-cracks have been made visible by heat-tinting at successive stages of fatigue life of the welded specimens. Here the correlation between the number of initiation sites and the applied stress level has been also investigated.
The criteria have been implemented in in-house software, which allows multiple fatigue crack propagation, and validated against selected experimental tests. The results have shown that the modelling of multiple crack propagation and interaction is crucial for the prediction of the fatigue strength of weldments, both in finite and infinite life regime.
Residual stresses count among the most limiting factors in the application of additively manufactured materials in safety relevant components subject to cyclic loading. The source of such stresses is inherent in the manufacturing Laser Beam Melted (LBM) process due to rapid cooling and solidification and their distribution in the specimen or component is not homogeneous, but it is usually characterized by high gradients. Moreover, the magnitude of the residual stress field depends very much on the orientation, being higher in the build direction.
Many works in the literature advise to carry out a post-LBM treatment to relieve residual stresses, even though particular attention should be paid in choosing the parameters for the thermal treatment in order to avoid microstructural/phase transformations, which would affect greatly the mechanical properties of the material.
Particularly in the case of the austenitic stainless steel 316L, it has been shown that annealing at high temperatures (above 900°C), besides relieving the residual stresses, may cause recrystallization, grain growth and even phase transformation. In contrast, if a too low annealing temperature is chosen in order to preserve the microstructure, the residual stresses cannot be completely relieved.
This work aims to address the effect of residual stresses on short and long crack propagation for SEN(B) specimens made of 316L fabricated by LBM, in which notches have been machined by electro-discharge machining (EDM) on the mid-plane, perpendicular to the build direction. The specimens underwent different annealing treatments in inert atmosphere, in which the maximum temperature has been varied up to 900°C. The amount of residual stresses and their distribution has been measured by X-ray and neutron diffraction and the specimens have been subject to cyclic loading in a resonant testing machine. The tests show a massive influence of the residual stresses in the build direction on the resistance to fatigue crack propagation of additively manufactured 316L. Finally, a comparison with conventionally manufactured 316L is presented.
Residual stresses in Laser Beam Melting (LBM) – Critical Review and outlook of activities at BAM
(2019)
Additive manufacturing (AM) technologies have experienced an exceedingly rapid growth, which is coupled with the knowledge about the resulting material properties and performance. In particular, residual stress (RS) was soon recognized as an important issue in AM parts, such that parts are usually subjected to a post build-heat-treated. Significant effort has been spent on simulations of RS in AM, especially using finite element methods. As a consequence, the experimental determination of RS has thereby become increasingly important as a validation tool for simulations, as well as a method for assessing the influence of process parameters. In particular, diffraction methods, which are fundamentally non-destructive, offer enormous possibilities to gain knowledge on the residual stress state in real components, since synchrotron radiation and neutrons can penetrate even heavy metals up to several millimeters or centimeters, respectively. Indeed, significant progress has been achieved, in the understanding of the origins of the RS fields as a function of process parameters, as well as their stability under thermal and/or mechanical exposure.
In this paper, a few success stories will be outlined. It will be shown how the determination of RS in metallic parts (with the focus on those produced by laser powder bed fusion) has even revealed that process parameters that were previously considered unimportant (e.g. the position and orientation on the base plate) play a major role in the onset of residual stress accumulation.
However, while RS characterization is starting to be considered in the component design, deposition strategy (e.g. build plate temperature), and even in the definition of the relevant metric to assess the quality of a part, much is still to be investigates about the hypotheses underlying its experimental determination. Therefore, some aspects to be aware of, or even those which to date are unclear, will also be discussed. These include the determination of the stress-free reference and of the principal axes of stress. All of these aspects will lead towards a comprehensive understanding of the process-structure-performance relationships in AM materials and parts.
Ermittlung der Schwingfestigkeit von technischen Legierungen mittels bruchmechanischer Methoden
(2017)
Die Arbeit beschreibt die Arbeitsphasen zur Entwicklung einer Prozedur zur bruchmechanischen Ermittlung der Schwingfestigkeit von technischen Legierungen.
In dieser Hinsicht sind die experimentelle Ermittlung von Werkstoffkennwerten, die analytische Modellierung des Ermüdungsrisswachstums und eine ausreichende Validierung von Bedeutung.
Um die Schwingfestigkeit von Komponenten adäquat ermitteln zu können, müssen die folgenden Aspekte in der Modellierung betrachtet werden: Die statistische Eingabe von Modellparametern, die Berücksichtigung von Kurzrisswachstum und ggf. die Mehrfachrisswachstum, bzw. die Rissinteraktion.
If fracture mechanics shall be applied to the total lifetime respectively the fatigue limit of components (within the meaning of the S-N curve approach) it has to address four challenges:
(a) It has to adequately describe so-called short crack propagation, which cannot be based on the common long crack concepts for principle reasons. Since the crack size is in the order of the plastic zone size, the modelling of short crack propagation cannot be based on the common linear elastic Delta K concept. Instead, an elastic-plastic parameter such as the cyclic J integral has to be applied. A second point is that the crack closure concept has to be modified in that the crack opening stress is not a constant, crack size- independent parameter but shows a transient behaviour with increasing short crack size.
(b) It has to provide a meaningful definition of the initial crack dimensions as the starting point for an S-N curve relevant (residual) lifetime analysis. This can be based either on the (statistical) size of material defects which can be treated as cracks or by the size of the crack which would arrest subsequent to early crack propagation, whatever is larger.
(c) It has to cope with the problem of multiple cracks for load levels higher than the fatigue limit such as it occurs in many applications in the absence of very large initial defects.
(d) This requires consequent statistical treatment taking into account variations in the local geometry of the area where crack initiation has to be expected as well as the scatter in the initial crack size and in the material data used for the analyses.
Approximation of the crack driving force for cracks at notches under static and cyclic loading
(2017)
The work deals with the efficient calculation of the elastic-plastic crack driving force (J-integral for monotonic loading andΔJ-integral under cyclic loading) for short cracks at notches as essential parameter for the reliable static and fatigue assessment of notched structures. The J- or ΔJ-integral is calculated based on analytical solutions for stress intensity factors, estimated by means of well-known weight function solutions in the case of cracks under power-law stress distributions. A plasticity-correction function is applied to the stress intensity factors to obtain the final expression of the crack driving force. The comparison between analytical solutions and finite element calculations in case of cracks at the weld toe in welded joints shows good agreement.
The topic of the presentation consists in some basic considerations on the application of fracture mechanics to fatigue live and strengh prediction of metallic componends manufatured by additive manufacturing. These are based on an approach developed at BAM which comprises elements such as the elastic-plastic modelling of the cyclic crack driving force, a physically meaningfull determination of the initial crack size and multipile crack initiation and propagation due to variations of the local geometry and material charactaristics. Spezial emphasis is put to spezific aspects of materials composed by selectiv laser melting such as surface roughness, porosity and gradiants in the microstructure.
This invited plenary lecture is aimed at giving a General overview about the assessment of the fatigue strength of metallic components under constant Amplitude loading based on fracture mechanics. A particular Focus is put on the Evaluation of the fatigue crack driving force and material resistance to fatigue crack Propagation in the Regime of physically/mechanically short cracks. The potential of the methodolody is demonstrated on case studies dealing with the fatigue life prediction of welded joints.
IBESS Methology for the fracture mechanics-based determination of the fatigue strength of weldments
(2018)
The presentation provides a brief overview on the results of a German cluster project on the use of fracture mechanics to the determination of the fatigue strength of weldments with fatigue cracks originating at the weld toes. The approach includes (a) a concept for short crack propagation for which the common K concept is not applicable and the crack closure effects are still being gradually build-up, (b) a method for determining fatigue life relevant initial crack sizes as they are needed in any fracture mechanics analysis and (c) multiple cracking and crack coalescence at load levels higher than the endurance limit. The analyses are stochastically performed. Both, the endurance limit as defined for 107 loading cycles and the finite life branch of the S-N curve are determined.
Structural alloys are largely employed in key industrial sectors and their demand is predicted to rise rapidly for the next decades. Most of these materials require a large amount of energy for extraction and manufacturing, which causes the emission of greenhouse gases and other pollutants. Therefore, strategies for improving the sustainability of structural metallic alloys are urgently needed.
Additive Manufacturing (AM), in particular Laser Powder Bed Fusion (PBF-LB/M), aims to be a sustainable manufacturing process, as it allows the build-up of complex geometry in near net-shape from 3D models, while minimizing material waste and the energy required for the process and post-process treatments.
Nevertheless, the application of additively manufactured parts in structural safety-relevant applications is still hindered by the poor fatigue performance. The cause of this has been mainly attributed to the presence of manufacturing defects and surface roughness. Therefore, a huge effort has been made to optimize the process parameters and to introduce post-process treatments to minimize the defect content. However, material flaws cannot be fully eliminated, but these can be considered in a damage tolerance framework for the prediction of the fatigue performance of additively manufactured metallic materials, which is essential for part design and qualification.
This work aims at presenting different modelling strategies for the prediction of the fatigue limit of AM metals. Simple empirical models and more complex models based on fatigue short crack propagation are proposed. The investigated material is an AlSi10Mg alloy fabricated by PBF-LB/M and subjected to two different low-temperature heat-treatments (265°C for 1 h and 300°C for 2h). The results show that the models can provide good approximation of the fatigue limits and help in the interpretation of the scatter of fatigue data.
The Kitagawa-Takahashi (KT) diagram is a well-established tool in the fatigue community for the prediction of the fatigue limit of metallic materials in presence of defects. Nevertheless, its determination is associated with a large number of fatigue tests carried out on specimens with artificial defects (notches) to describe the fatigue limit-defect size relationship in the short crack regime. The preparation of the specimens and the execution of the tests is time expensive. Therefore, few phenomenological models have been introduced in the past to provide a first approximation of the KT diagram based solely on the fatigue limit for smooth specimen and the fatigue crack propagation threshold for long cracks. Despite the use of such models is widely spread, these suffer from problems related to the uncertainties of the material parameters. Furthermore, the mechanics of short cracks, which is the physical mechanism behind the concept of the fatigue limit, is not considered. This work discusses the advantages and drawbacks of using short fatigue crack propagation models for predicting the fatigue limit of flawed metallic materials. The KT diagrams for a EA4T railway axle steel in as-received and full-hardened condition are approximated by means of the cyclic R-curve method.
The fatigue assessment of welded joints requires several input data, which can be subdivided into three categories: geometry, material and loading. The number of input data depends essentially on the complexity of the models employed and on the level of accuracy of the analysis. It is common practice to use safety factors in design to account for the scatter of the input parameters. Nevertheless, overly-conservative factors lead often to unrealistic estimations of fatigue life. This work presents a fracture mechanics-based model for the structural integrity assessment of welded joints under constant amplitude fatigue loading, in which the local geometry at the weld toe and the fatigue crack growth properties are considered statistically distributed. The approach is validated against a large number of experimental data.
Fraucture mechanics-based probablistic structural integrity assessment for aero-engine turbine disk
(2023)
Aero-engine turbine disks are safety-relevant components which are operated under high thermal and mechanical stress conditions. The aim of this work is to present part of a fracture mechanics-based probabilistic assessment procedure under development which aims at calculating the critical rotational speed of the turbine disk based on the numerical-analytical solutions and regulations for the failure probability. In particular, the rim-peeling failure mode is considered as case study. A semi-circular surface crack is modelled at the most stressed region at the diaphragm of a turbine disk. In order to design a lab representative specimen, beside the crack driving force, expressed in terms of J-integral, also the constraint to plastic deformation e.g., stress triaxiality, at the crack-tip must be similar for the same crack in the specimen and in the disk. The analytical solutions to calculate the crack driving force for the lab representative specimen are used for the Monte Carlo simulations, the result of which has been assessed in the form of a Failure Assessment Diagram (FAD). The results of the probabilistic structural integrity assessment show good agreement between Monte Carlo simulations and certification values for the disk in terms of expected failure mode and value of the critical speed.
The process-structure-property-performance relationship is a fundamental paradigm in metal additive manufacturing (AM). The knowledge of how process parameters and post-process treatments influence the material properties and therefore the structural integrity of additively manufactured metallic components is of paramount importance. With respect to this, one of the unsolved problems related to the unique AM process is the reliability of witness samples for part qualification. Focusing on the Laser Powder Bed Fusion (PBF-LB/M) process, the microstructure and therefore the mechanical performance of test coupons are not representative of parts of the same material in every case. This work summarizes part of the results of an ongoing cooperation between BAM and BASF, which aims at addressing this issue by designing dedicated specimens, representative of the fatigue properties of the real component. The considered case study consisted in the fabrication and characterization of the fatigue properties of a pressure vessel made of AISI 316L. The first phase of the project was devoted to the process monitoring to understand the relationship between process parameters and temperature distribution during the fabrication of the component. Finite element models were tuned on the experimental data from the process monitoring and simulations of the temperature field in the component were conducted. The numerical results were in good agreement with the temperature profiles measured during the fabrication of the component. The second phase dealt with the evaluation of the fatigue and fatigue crack propagation properties on specimens extracted from different regions of the pressure vessel. The experimental investigations showed significant differences in hoop and longitudinal direction. A clear dependence of the fatigue properties on heat accumulation (temperature distribution) and defect size was pointed out. The third phase encompassed the fabrication and testing of the representative specimens. Numerical simulations were used to design specimens displaying the same temperature profile as in the most critical region of the component. The fatigue testing of the representative specimens is subject of ongoing work.
Damage tolerance counts as one of the most widespread approach to fatigue assessment and surely as one of the most promising in understanding the process-structure-property-performance relationships in additively manufactured metallic materials. Manufacturing defects, surface roughness, microstructural features, short and long crack fatigue propagation, residual stresses and applied loads can be taken into consideration in a fracture mechanics-based fatigue assessment. Many aspects are crucial to the reliable component life prediction. Among those a prominent role is played by an accurate measurement and modelling of the short crack fatigue behavior, and reliable statistical characterization of defects and residual stresses.
This work aims at addressing the issues related to both experimental testing, fatigue and fatigue crack propagation, and fracture mechanics-based modelling of fatigue lives. Examples will be provided on an additively manufactured AISI 316 L.