TY - JOUR A1 - Zerbst, Uwe A1 - Madia, Mauro A1 - Hellmann, C. T1 - An analytical fracture mechanics model for estimation of S-N curves of metallic alloys containing large second phase particles N2 - An analytical fracture mechanics model for predicting the finite life fatigue strength of components is presented which combines a number of well established and newly developed approaches such as Murakami's and McEvily's approach for describing the transient behaviour of crack closure of short cracks, the analytical (long) crack closure function of Newman which became part of the widely used NASGRO approach, the R6 procedure, a method for improving the ligament yielding correction f(Lr ) of R6 proposed by the authors of the present paper and other elements. Basic assumption is the preexistence of initial flaws such that the crack initiation or nucleation stage is small and can be neglected. The application of the model is demonstrated for small tension plates of aluminium Al 5380 H321 with artificial initial defects generated by FIB technology, the size of which was fixed on the basis of fractographic investigations on broken, smooth specimens. KW - S-N curve KW - Fatigue life prediction KW - R6 KW - Short fatigue-cracks KW - Crack closure PY - 2012 DO - https://doi.org/10.1016/j.engfracmech.2011.12.001 SN - 0013-7944 SN - 1873-7315 VL - 82 SP - 115 EP - 134 PB - Elsevier Science CY - Kidlington AN - OPUS4-25456 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Zerbst, Uwe A1 - Ainsworth, R. A. A1 - Madia, Mauro T1 - Reference load versus limit load in engineering flaw assessment: A proposal for a hybrid analysis option N2 - The net section limit load FY necessary for assessment at static loading is a key input for the accuracy of any elastic–plastic flaw assessment procedure of the R6 type. Unfortunately available limit load solutions are of variable quality since they have been obtained over decades by different methods. As a consequence the results of the fracture analyses such as the critical load or crack size are limited in their accuracy and are often significantly conservative. Further, common limit load solutions based on ligament yielding are inadequate in a number of cases even for through crack configurations and should be replaced by some kind of local yielding solutions. In the present paper a simple and straightforward reference load definition is proposed instead of the limit load which strictly corresponds to a ligament yielding parameter Lr = 1 in the R6 Routine and similar approaches such as the European SINTAP and FITNET methods. This can be determined by finite element simulation for any geometry. In addition to a previous study on thin wall notched plates the method is applied to plates containing shallow semi-elliptical surface cracks. The results demonstrate that the approach provides a suitable extension and improvement of the existing methods. KW - Flaw assessment KW - Reference stress method KW - R6 procedure KW - SINTAP KW - FITNET KW - Limit load KW - Reference load PY - 2012 DO - https://doi.org/10.1016/j.engfracmech.2011.10.018 SN - 0013-7944 SN - 1873-7315 VL - 91 SP - 62 EP - 72 PB - Elsevier Science CY - Kidlington AN - OPUS4-27279 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Zerbst, Uwe A1 - Madia, Mauro A1 - Hellmann, D. T1 - Fracture mechanics model for predicting fatigue strength of metallic alloys containing large second phase particles N2 - An analytical fracture mechanics model for predicting finite life fatigue strength of components is presented which combines a number of well established and newly developed approaches such as Murakami's and McEvily's approach for describing the transient behaviour of crack closure of short cracks, the analytical (long) crack closure function of Newman, the R6 procedure modified by a method for improving the ligament yielding correction proposed by the authors and other elements. Basic assumption is the pre-existence of initial flaws such that the crack initiation or nucleation stage is small and can be neglected. The application of the model is demonstrated for small tension plates of aluminium Al 5380 H321 with artificial initial defects generated by FIB technology, the size of which was fixed on the basis of fractographic investigations on broken, smooth specimens. T2 - ECF 19 - 19th European conference on fracture - Fracture mechanics for durability, reliability and safety CY - Kazan, Russia DA - 26.08.2012 KW - Fatigue strength KW - S-N curve KW - Fracture mechanics KW - Crack propagation KW - Short cracks KW - Bruchmechanik KW - Schwingfestigkeit KW - Bauteilbewertung PY - 2012 SN - 978-5-905576-18-8 IS - Proceeding-ID 116 SP - 1 EP - 14 AN - OPUS4-27278 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Scacco, F. A1 - Zerbst, Uwe A1 - Meneghetti, G. A1 - Madia, Mauro T1 - Comparison between PSM and IBESS approaches for the fatigue life estimation of weldments N2 - In the framework of the fatigue assessment of welded components, several methods are available in design standards such as the nominal stress, hot-spot stress, notch stress and linear elastic fracture mechanics approaches. The present paper aims at comparing two advanced local approaches for the fatigue strength assessment of different welded joints made of steel. The first one is IBESS which is based on short crack fracture mechanics. The second one is the PSM which instead involves the strain energy density approach. Both methods will be briefly presented, and the fatigue life prediction results discussed. The results obtained for the joint geometries considered in this work show advantages and drawbacks of the approaches, which are thoroughly analysed as well. KW - Fatigue KW - Welded joints KW - FAT class KW - IBESS KW - Peak stress method (PSM) KW - Finite element (FE) PY - 2022 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-545139 DO - https://doi.org/10.1007/s40194-022-01284-7 SP - 1 EP - 23 PB - Springer AN - OPUS4-54513 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Madia, Mauro A1 - Zerbst, Uwe A1 - Werner, Tiago T1 - Estimation of the Kitagawa-Takahashi diagram by cyclic R curve analysis N2 - 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. T2 - FATIGUE DESIGN 2021 CY - Online meeting DA - 17.11.2021 KW - Fatigue life KW - Endurance limit KW - Kitagawa-Takahashi diagram KW - Cyclic R-curve PY - 2022 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-544931 DO - https://doi.org/10.1016/j.prostr.2022.03.032 SN - 2452-3216 VL - 38 SP - 309 EP - 316 PB - Elsevier B.V. AN - OPUS4-54493 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Schönherr, J. A. A1 - Duarte, Larissa A1 - Madia, Mauro A1 - Zerbst, Uwe A1 - Geilen, M. B. A1 - Klein, M. A1 - Oechsner, M. T1 - Robust determination of fatigue crack propagation thresholds from crack growth data N2 - The robust determination of the threshold against fatigue crack propagation DKth is of paramount importance in fracture mechanics based fatigue assessment procedures. The standards ASTM E647 and ISO 12108 introduce operational definitions of DKth based on the crack propagation rate da/dN and suggest linear fits of logarithmic DK– da/dN test data to calculate DKth. Since these fits typically suffer from a poor representation of the actual curvature of the crack propagation curve, a method for evaluating DKth using a nonlinear function is proposed. It is shown that the proposed method reduces the artificial conservativeness induced by the evaluation method as well as the susceptibility to scatter in test data and the influence of test data density. KW - Fatigue crack propagation threshold KW - ISO 12108 KW - ASTM E647 KW - Data evaluation methods KW - Experimental determination PY - 2022 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-552153 DO - https://doi.org/10.3390/ma15144737 SN - 1996-1944 VL - 15 IS - 14 SP - 1 EP - 21 PB - MDPI CY - Basel AN - OPUS4-55215 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Duarte, Larissa A1 - Madia, Mauro A1 - Zerbst, Uwe T1 - The effect of the environmental conditions on the threshold against fatigue crack propagation N2 - The threshold against fatigue crack propagation (ΔKth) is a crucial parameter for the damage tolerance assessment of engineering components subjected to cyclic loading and it is composed by two distinct components, one intrinsic, dependent on the elastic material properties and the lattice type, and one extrinsic, related to the occurrence of crack closure effects. An important issue is that several factors can influence ΔKth and, in general, the fatigue crack propagation behavior. In this work, the influence of the experimental procedure, air humidity, stress ratio and test frequency on da/dN-ΔK data has been investigated. Results are discussed with their potential causes and consequences on the calculations of the residual lifetime. KW - Fatigue crack propagation threshold KW - Crack closure effect KW - Experimental procedure KW - Environmental conditions PY - 2022 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-544905 DO - https://doi.org/10.1016/j.prostr.2022.03.030 VL - 38 SP - 292 EP - 299 PB - Elsevier B.V. AN - OPUS4-54490 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Duarte, Larissa A1 - Zerbst, Uwe A1 - Madia, Mauro T1 - Vergleichende Untersuchungen zum intrinsischen Schwellenwert der da/dN-ΔK-Kurve N2 - Für die Bestimmung der Restlebensdauer zyklisch beanspruchter Bauteile kommt dem Schwellenwert für Ermüdungsrissausbreitung, Δ𝐾𝑡ℎ, und dem sich anschließenden Schwellenwertbereich der 𝑑𝑎𝑑𝑁⁄−Δ𝐾-Kurve große Bedeutung zu. Dem stehen Unsicherheiten bei der Bestimmung und Analyse gegenüber. Der Aufsatz befasst sich mit der Ermittlung des sogenannten intrinsischen Schwellenwerts, der als robuster Eingangsparameter für eine „rissschließfreie“ Analyse der Restlebensdauer von entscheidender Bedeutung ist. T2 - 53. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit CY - Online meeting DA - 18.02.2021 KW - Schadenstolerante Bauteilauslegung, Restlebensdauer, intrinsischer Schwellenwert gegen Ermüdungsrissausbreitung PY - 2021 SN - 2366-4797 SP - 211 EP - 220 PB - Deutscher Verband für Materialforschung und -prüfung e.V. (DVM) CY - Berlin AN - OPUS4-52704 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Duarte, Larissa A1 - Zerbst, Uwe A1 - Madia, Mauro T1 - Der Schwellenwert der da/dN-∆K-Kurve als Auslegungskriterium für die Bauteilbewertung N2 - Für die Bestimmung der Restlebensdauer zyklisch beanspruchter Bauteile kommt dem Schwellenwert für Ermüdungsrissausbreitung ∆Kth und dem sich anschließenden Schwellenwertbereich der da/dN-∆K-Kurve große Bedeutung zu. Dem stehen Unsicherheiten bei der Bestimmung und Analyse gegenüber. Der Aufsatz befasst sich mit der Ermittlung des sogenannten intrinsischen Schwellenwerts, der als robuster Eingangsparameter für eine „rissschließfreie“ Analyse der Restlebensdauer von entscheidender Bedeutung ist. T2 - Tagung Werkstoffprüfung 2020 CY - Online meeting DA - 03.12.2020 KW - Schadenstolerante Bauteilauslegung, KW - Intrinsischer Schwellenwert gegen Ermüdungsrissausbreitung KW - Restlebensdauer PY - 2020 DO - https://doi.org/10.48447/WP-2020-025 SP - 1 EP - 8 AN - OPUS4-52788 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Zhu, Jiangchao A1 - Madia, Mauro A1 - Schurig, Michael A1 - Kruse, Julius A1 - Conrad, Fabian A1 - Schlums, Hartmut A1 - Kontermann, Christian A1 - Zerbst, Uwe T1 - On the use of representative specimens for the structural integrity assessment of safety-relevant rotating components N2 - Safety-relevant components, for which a failure in service could have catastrophic consequences, are usually designed for extremely low probability of failure and they are subjected to stringent part qualification procedures according to guidelines set by regulatory agencies. Manufacturers are often forced to perform tests on full scale or scaled components to ensure the structural integrity under defined loading conditions, which usually implies a huge experimental and financial effort. Therefore, companies try to develop new strategies such as digital twins, which allow to massively reduce costs, without compromising safety. This work presents a new quasi-static testing and assessment concept, the main idea of which is to replace, or at least reduce, the experimental testing on components by testing specimens representative of the component. Fracture mechanics specimens have been designed iteratively by numerical simulations to match the stress state at the crack-tip of the maximum permissible defect defined by regulatory agencies for the component. Potentially, the major benefit of the proposed approach is that the tests can be performed on conventional laboratory testing machines. The effectiveness of the methodology is demonstrated in case of the structural integrity assessment of a Ni-base superalloy aero-engine turbine disk at overspeed conditions. KW - Structural integrity KW - Turbine disk KW - Burst KW - Fracture mechanics KW - Representative specimens KW - Quasi-static testing PY - 2025 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-624208 DO - https://doi.org/10.1016/j.engfracmech.2024.110710 SN - 0013-7944 VL - 314 SP - 1 EP - 23 PB - Elsevier Ltd. AN - OPUS4-62420 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Zerbst, Uwe A1 - Ainsworth, R. A. A1 - Beier, H.T. A1 - Pisarski, H. A1 - Zhang, Z. L. A1 - Nikbin, K. A1 - Nitschke-Pagel, T. A1 - Münstermann, S. A1 - Kucharczyk, P. A1 - Klingbeil, Dietmar T1 - Review on fracture and crack propagation in weldments - A fracture mechanics perspective N2 - Welding is one of the most common methods in industrial practice for joining components. Its main advantages are high speed in manufacturing combined with low costs and, usually, a high degree of flexibility, integrity and reliability. Nevertheless, welding is a highly complex metallurgical process and, therefore, weldments are susceptible to material discontinuities, flaws and residual stresses which may lead to structural failure and life time reduction. As a consequence weldments are an important field of fracture mechanics methods although its application is more complex than for homogeneous or non-welded structures. The aim of the paper is to provide an overview on the current state of fracture mechanics application to weldments. It starts by discussing the specific features which any fracture mechanics analysis of weldments has to take into account. Then, the experimental determination of fracture toughness, fatigue crack propagation and tensile properties of weldments is addressed. Finally, the analytical determination of the crack driving force in components and structural integrity assessment approaches for weldments are presented. KW - Weldments KW - Fracture mechanics KW - Fracture toughness KW - Fatigue crack propagation KW - Residual stresses KW - Strength mismatch PY - 2014 DO - https://doi.org/10.1016/j.engfracmech.2014.05.012 SN - 0013-7944 SN - 1873-7315 VL - 132 SP - 200 EP - 276 PB - Elsevier Science CY - Kidlington AN - OPUS4-32819 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Arafah, D. A1 - Madia, Mauro A1 - Zerbst, Uwe A1 - Beretta, S. A1 - Cristea, M.E. T1 - Instability analysis of pressurized pipes with longitudinal surface cracks N2 - Recently three of the authors of this paper presented analytical solutions for reference loads of plate geometries with semi-elliptical surface cracks subjected to tension, bending, combined tension-bending and biaxial tension. These solutions were shown to provide more accurate crack driving force estimates than the conventional limit load solutions available in the literature, and the method behind them allowed for a wider application range. Within the present paper a methodology for the fracture analysis of thick-wall pressurized pipes using the R6 assessment method and considering both, biaxial and combined tension-bending loading is developed and validated. The analyses are carried out analytically, and the comparison between the predicted critical loads and experimental burst test failure loads shows satisfying agreement, this way demonstrating the potential of the proposed method. KW - Burst test KW - Pipes KW - R6 KW - Reference load KW - Biaxial loading KW - Tearing instability KW - Plastic collapse KW - Limit load PY - 2015 DO - https://doi.org/10.1016/j.ijpvp.2015.01.001 SN - 0308-0161 VL - 126-127 SP - 48 EP - 57 PB - Applied Science Publ. Ltd. CY - Barking AN - OPUS4-32820 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Zerbst, Uwe T1 - Model for fracture mechanics based prediction of the fatigue strength of engineering alloys containing microscopical initial defects T2 - 2nd International Conference on Fatigue Design and Materials Defects (FDMD II) CY - Paris (Frankreich) DA - 2014-06-11 PY - 2014 AN - OPUS4-33237 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Zerbst, Uwe T1 - Assessment of welded joints by fracture mechanics. IBESS - Delevopment of a procedure N2 - The idea to determine the fatigue strength of weldments by means fractuie mechanics was originally based on the empirical observation that the major portion of the fatigue life in weldments is frequently spent in crack propagation. The present paper gives a brief OverView on the basic principles of fracture mechanics-based determination of fatigue strength and on special features which have to be considered for weldments. Based on this Information, the ongoing research project IBESS is introduced and briefly reviewed. T2 - 4th Symposium on Structural Durability CY - Darmstadt DA - 14.05.2014 PY - 2014 AN - OPUS4-33239 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Schöne, Dieter A1 - Zerbst, Uwe A1 - Madia, Mauro T1 - Experimentelle Ermittlung des Schwellenwertes DeltaKth mittels unterschiedlicher Methoden und für verschiedene Spannungsverhältnisse N2 - ln den letzten Jahren hat sich gezeigt, dass die Ermittlung des Schwellenwertes DeltaKth nach den bestehenden Standardvorschriften für verschiedene Materialien zu nichtkonservativen Werten führt. Das ergibt sich im Vergleich mit Schwellenwerten, die man mit Anrissen erhält, die hinsichtlich der Ober- und der Unterlast komplett im Druckbereich erzeugt wurden. Dort, wo die Diskrepanz auftritt, verstärkt sie sich mit abnehmendem Spannungsverhältnis. ln der vorliegenden Studie wurden an einem mittel- und einem hochfesten Stahl bei unterschiedlichen Spannungsverhältnissen Schwellenwerte bestimmt. Anwendung fanden die konventionelle Lastabsenkungsmethode nach ASTM-Standard und ein Verfahren, bei dem der Langrissscbwellenwert als Endpunkt der sogenannten Zyklischen R-Kurve erhalten wird. Dieses folgt im Wesentlichen der von Pippan et al. entwickelten Methode, ergänzt diese jedoch durch eine eigene Verfahrensvariante. T2 - 47. Tagung des DVM-Arbeitskreises Bruchvorgänge und Bauteilsicherheit - Bruchmechanische Werkstoff- und Bauteilbewertung: Beanspruchungsanalyse, Prüfmethoden und Anwendungen CY - Freiberg, Germany DA - 10.02.2015 KW - Ermüdungsrissausbreitung KW - Schwellenwert KW - Lastabsenkung KW - Druckanschwingen KW - Zyklische R-Kurve KW - Fatigue crack propagation KW - Threshold KW - Load decreasing KW - Compression pre-cracking KW - Cyclic R curve PY - 2015 SN - 1616-4687 SP - 269 EP - 283 AN - OPUS4-32569 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Zerbst, Uwe T1 - The Fatigue Crack Propagation threshold as a design criterion - actual developments and open issues T2 - ESIS TC1/TC3 workshop on "The fatigue crack propagation threshold as a design criterion" CY - Poitiers, France DA - 2014-11-04 PY - 2014 AN - OPUS4-31686 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Scolavino, L. A1 - Beretta, S. A1 - Madia, Mauro A1 - Zerbst, Uwe T1 - Critical speed of flawed rotors: global vs local approach N2 - The burst of a disc in rotating machinery can cause catastrophic damage of the equipment and, more importantly, it can represent a mortal threat to anyone in the sphere of influence of the event. In order to minimize the danger associated to a rotating component failure, burst testing is required by the authorities in order to set safety margins to the normal operating speeds. Moreover more accurate predicting tools are required for designing the components. This paper presents the results of a numerical and analytical study on the assessment of the crack driving force for discs containing surface flaws. The aim is to provide a simple, though reliable, tool in order to be able to calculate the possible dangerous in-service speed for a rotating component and, therefore, to set burst margins above the normal operating conditions of the equipment. An R6-like flaw assessment procedure is adopted considering different assumptions in the definition of the critical speed and the analytical predictions are compared with the results of elastic-plastic finite element analysis of disc. In particular, the validity and potentiality of the method is proved for surface flaws in different positions in the disc. T2 - ASME Turbo Expo 2014 - GT2014 CY - Düsseldorf, Germany DA - 16.06.2014 KW - Critical speed KW - Flawed rotors KW - Flaw assessment PY - 2014 SN - 978-0-7918-4576-9 DO - https://doi.org/10.1115/GT2014-26881 VL - 7A SP - 26881, 1 EP - 8 AN - OPUS4-32382 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Zerbst, Uwe T1 - Der Schwellenwert DKth als Auslegekriterium. Aktuelle Entwicklungen und Fragestellungen. T2 - 47. Tagung des DVM-Arbeitskreises Bruchvorgänge CY - Freiberg DA - 2015-02-10 PY - 2015 AN - OPUS4-32351 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Zerbst, Uwe T1 - Bauteilbewertung gegen Bruch. Demonstrationsbeispiele Druckbehälter T2 - 47. Tagung des DVM-Arbeitskreises Bruchvorgänge; Weiterbildungsseminar CY - Freiberg, Germany DA - 2015-02-09 PY - 2015 AN - OPUS4-32843 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Zerbst, Uwe T1 - Primär- und Sekundärspannungen in der Bruchmechanik-Analyse T2 - 47. Tagung des DVM-Arbeitskreises Bruchvorgänge; Weiterbildungsseminar CY - Freiberg, Germany DA - 2015-02-09 PY - 2015 AN - OPUS4-32844 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -