TY - JOUR A1 - Zerbst, Uwe A1 - Madia, Mauro A1 - Beier, H. Th. T1 - Fatigue strength and life determination of weldments based on fracture mechanics N2 - The paper provides an 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 ΔK 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 and the finite life branch of the S-N curve are determined. Besides a brief introduction into the approach, validation examples are presented. These comprise different weldment types (butt welds, cross joints and longitudinal stiffened plates), two steels (S355NL and S960QL) of quite different strengths, different weld geometries due to different welding techniques (WIG, MAG), as-welded and stress relieved welds and different stress ratios varying from R = -1 to R = 0.5. T2 - FDMD 2017 CY - Lecco, Italy DA - 19.09.2017 KW - Weldments KW - Fatigue strength KW - Fracture mechanics KW - Initial crack size KW - Short crack propagation KW - Multiple crack propagation PY - 2017 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-438500 DO - https://doi.org/10.1016/j.prostr.2017.11.106 SN - 2452-3216 VL - 7 SP - 407 EP - 414 PB - ScienceDirect CY - Lecco, Italy AN - OPUS4-43850 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Zerbst, Uwe A1 - Madia, Mauro T1 - Analytical flaw assessment N2 - The paper provides a review on analytical flaw assessment methods with the focus on fracture under monotonic loading and fatigue crack propagation. The first topic comprises linear elastic as well as elastic-plastic fracture mechanics approaches. It essentially follows their historical development. Topics which are separately discussed are reference/Limit loads, the treatment of secondary stresses, strength mismatch, constraint, unstable crack propagation (monotonic R-curve analyses) and statistical aspects. With respect to fatigue crack propagation the analytical treatment of crack closure and constraint and the Determination of the cyclic elastic-plastic crack driving force is discussed. Finally, cyclic Rcurve analyses are briefly addressed. KW - Monotonic and cyclic crack driving force KW - Secondary stresses KW - Strength mismatch KW - Constraint KW - Crack closure KW - R-curve analysis PY - 2018 DO - https://doi.org/10.1016/j.engfracmech.2017.12.002 SN - 0013-7944 SN - 1873-7315 VL - 187 SP - 316 EP - 367 PB - Elsevier AN - OPUS4-44234 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Madia, Mauro T1 - Multiple crack initiation and propagation in weldments under fatigue loading N2 - 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. T2 - FDMD 2017 CY - Lecco, Italy DA - 19.09.2017 KW - Weldments KW - Fatigue strength KW - Multiple crack propagation KW - Short cracks PY - 2017 AN - OPUS4-43857 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Madia, Mauro A1 - Schork, B. A1 - Bernhard, J. A1 - Kaffenberger, M. T1 - Multiple crack initiation and propagation in weldments under fatigue loading N2 - 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. T2 - FDMD 2017 CY - Lecco, Italy DA - 19.09.2017 KW - Weldments KW - Fatigue strength KW - Multiple crack propagation PY - 2017 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-438593 DO - https://doi.org/10.1016/j.prostr.2017.11.108 SN - 2452-3216 VL - 7 SP - 423 EP - 430 PB - Elsevier B.V. AN - OPUS4-43859 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Zerbst, Uwe A1 - Madia, Mauro A1 - Vormwald, M. A1 - Beier, T. T1 - Fatigue strength and fracture mechanics - A general perspective N2 - Common fracture mechanics based fatigue considerations are usually limited to the residual lifetime determination of so-called long cracks. The extension of this concept to the total lifetime, as in the S-N curve approach, requires an adequate description of short crack propagation which cannot be based on the Delta K concept, and it must consider the crack closure phenomenon as well as its gradual build-up at the short crack stage. Further, it has to provide a meaningful definition of initial crack dimensions and a solution for the multiple crack problem at stress levels higher than the fatigue limit as it is specific for some configurations such as weldments. This paper aims at a discussion of all these points and offers possible solutions which are illustrated by examples taken from the German IBESS project on fracture mechanics based determination of the fatigue strength of weldments, the results of which will be discussed in more detail in this Special issue. KW - Fatigue strength KW - Endurance limit KW - Fracture mechanics KW - Short crack propagation KW - Multiple cracking KW - Weldments PY - 2018 DO - https://doi.org/10.1016/j.engfracmech.2017.04.030 SN - 0013-7944 SN - 1873-7315 VL - 198 SP - 2 EP - 23 PB - Elsevier AN - OPUS4-46862 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Madia, Mauro T1 - Fatigue strength and fracture mechanics N2 - 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. T2 - SAM-CONAMET 2018 CY - San Carlos de Bariloche, Argentina DA - 01.10.2018 KW - Structural Integrity KW - Fatigue strength KW - Short crack Propagation PY - 2018 AN - OPUS4-46873 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Madia, Mauro T1 - IBESS Methology for the fracture mechanics-based determination of the fatigue strength of weldments N2 - 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. T2 - ESIS TC1 Workshop on Damage and Damage Tolerance of Welded Structures CY - Prague, Czech Republic DA - 12.04.2018 KW - Structural Integrity KW - Fatigue strength KW - Weldments PY - 2018 AN - OPUS4-46878 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Madia, Mauro T1 - On the modelling of the fatigue strength of am components N2 - 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. N2 - Beschreibung der IBESS-Prozedur zur zukünftigen Anwendung zur Berechnung der Schwingfestigkeit von Schweißverbindungen T2 - Additive Manufracturing Benchmarks 2018 CY - Gaithersburg, Maryland, USA DA - 18.06.2018 KW - Structural Integrity KW - Fartigue Strength KW - Additive Manufacturing PY - 2018 AN - OPUS4-46062 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Madia, Mauro A1 - Zerbst, Uwe A1 - Beier, T. A1 - Schork, B. T1 - The IBESS model – Elements, realisation and validation N2 - The work presents the procedure developed within the German research project IBESS, which allows for the fracture mechanics-based prediction of the fatigue strength of welded joints under constant amplitude loading. Based on the experimental observations of the crucial failure mechanisms, the approach focuses on the short crack propagation, where elastic-plastic fracture mechanics and the build-up of closure effects must be considered as well as the variability of the local geometry at the weld toe and the modelling of multiple crack interaction. Analytical solutions are provided for the approximation of the through-thickness stress profiles at the weld toe and for the determination of the crack driving force in the form of a plasticity-corrected stress intensity factor range ∆K_p. Proposals for the determination of the initial crack size and the crack closure factor are also included. The approach is validated against a large number of experimental data, which comprises fatigue tests on individual cracks monitored by heat tinting and beach-marking techniques, as well as stress life curves. Three kinds of welded joints, two steels of significant different strengths and three stress ratios are considered. The results show that the procedure provides good estimations of the statistical distribution of the fatigue strength of welded joints both for the finite and infinite life regime. Furthermore, the predictions are compared with available benchmark data for structural steels. KW - Welded joints KW - Life prediction KW - Fatigue crack growth KW - Short cracks KW - Crack closure PY - 2018 DO - https://doi.org/10.1016/j.engfracmech.2017.08.033 SN - 0013-7944 SN - 1873-7315 VL - 198 SP - 171 EP - 208 PB - Elsevier AN - OPUS4-46852 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Zerbst, Uwe A1 - Madia, Mauro A1 - Gerwien, Peter A1 - Kucharczyk, P. A1 - Münstermann, S. A1 - Schork, B. T1 - Fracture-mechanics-based prediction of the fatigue strength of weldments. Material aspects N2 - Any fracture mechanics based determination of the fatigue strength of weldments requires different input information such as the local weld geometry and material data of the areas the crack is passing through during its propagation. The latter is so far not a trivial task as the fatigue crack is usually initiated at the weld toe at the transition from the weld metal to the heat affected zone and it subsequently propagates through the different microstructures of the latter to eventually grow into the base material and to cause final fracture. This paper describes how the material input information has gained particularly for heat affected zone material by thermo-mechanically simulated material specimens for two steels of quite different static strength. The data comprise the cyclic stress-strain curve, the crack closure effect-corrected crack growth characteristics, long crack fatigue crack propagation thresholds, the dependency of the parameter on the crack length and monotonic fracture resistance. The substantial experimental effort was necessary for the validation exercises of the IBESS approach, however, within the scope of practical application more easily applicable estimating methods are required. For that purpose the paper provides a number of appropriate proposals in line with its check against the reference data from the elaborate analyses. KW - Heat affected zone KW - Cyclic stress-strain curve KW - Fatigue crack propagation KW - Fatigue crack propagation threshold KW - Fracture resistance PY - 2018 DO - https://doi.org/10.1016/j.engfracmech.2017.09.010 SN - 0013-7944 SN - 1873-7315 VL - 198 SP - 79 EP - 102 PB - Elsevier AN - OPUS4-46854 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Zerbst, Uwe A1 - Madia, Mauro A1 - Maierhofer, J. A1 - Kolitsch, S. A1 - Gänser, H.-P. A1 - Pippan, R. T1 - The cyclic R-curve – Determination, problems, limitations and application N2 - The so-called cyclic R curve, i.e. the crack size dependence of the fatigue crack propagation threshold in the physically short crack regime, is a key parameter for bringing together fatigue strength and fracture mechanics concepts. Its adequate determination is of paramount importance. However, notwithstanding this relevance, no test guideline is available by now and only very few institutions have spent research effort on cyclic R curves so far. The aim of the present paper is to give an overview on the state-of-the-art. Besides an introduction into the basic principles, the discussion will concentrate on the experimental determination on the one hand and questions of its application on the other hand. KW - Cyclic R-curve KW - Fatigue crack propagation threshold KW - Crack closure mechanisms KW - Cyclic R-curve analysis KW - Kitagawa-Takahashi diagram PY - 2018 DO - https://doi.org/10.1016/j.engfracmech.2017.09.032 SN - 0013-7944 SN - 1873-7315 VL - 198 SP - 45 EP - 64 PB - Elsevier AN - OPUS4-46855 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Zerbst, Uwe A1 - Madia, Mauro A1 - Tchoffo Ngoula, D. A1 - Beier, T. A1 - Vormwald, M. T1 - Cyclic J-integral: Numerical and analytical investigations for surface cracks in weldments N2 - The cyclic J-integral (∆J-integral) is a crack tip parameter of elastic-plastic fracture mechanics which can be used as governing parameter for the description of fatigue crack growth (FCG) in metallic structures. In this contribution, it is applied for modelling FCG in weldments. The ∆J-integral is determined by means of analytical approximation formulas as well as numerical methods. An analytical solution, which takes into account effects of the local ligament plasticity, was derived. This solution is based on well established methods such as R6, BS7910 and SINTAP which were modified for cyclic loading. It incorporates methods for the description of short crack closure behaviour as well as the well known analytical (long) crack closure function of Newman. A specific code was written to evaluate the ∆J-integral numerically in the course of finite element based crack growth simulations. The code was first validated for an infinite plate with centre crack by applying elastic and elastic-plastic material behaviour. Next, the ∆J-integral was calculated for cracks in various butt and cruciform welded joints. The results were compared with the results of the derived analytical approximation formula. A good accordance was achieved between the results. KW - Cyclic J-integral KW - Elastic-plastic fracture mechanics KW - Fatigue crack growth KW - Short cracks KW - Weldments PY - 2018 DO - https://doi.org/10.1016/j.engfracmech.2017.06.023 SN - 0013-7944 VL - 198 SP - 22 EP - 44 PB - Elsevier AN - OPUS4-46857 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Zerbst, Uwe A1 - Madia, Mauro A1 - Schork, B. A1 - Kaffenberger, M. A1 - Oechsner, M. A1 - Kucharzcyk, P. A1 - Hensel, J. A1 - Bernhard, J. A1 - Tchuindjang, D. T1 - The effect of the local and global weld geometry as well as material defects on crack initiation and fatigue strength N2 - The paper provides an application of the IBESS approach to the investigation of the influence of various parameters of the global and local weld geometry as well as material defects on the fatigue strength of weldments. For this purpose, the global weld parameters, such as the weld toe radius, the flank angle, the excess weld metal, local secondary notches (in the present study as a measure of surface imperfections) and inclusions sizes have been determined as statistical distributions for different joint types and geometries and two steels of different strengths. The results are in line with literature data and reveal the potential of the theoretical approach to predict the correct trends. The combination with an advanced weld quality system has been demonstrated to be possible. KW - Weldments KW - Fatigue strength KW - Fracture mechanics KW - Weld geometry KW - Inclusions KW - Multiple crack initiation PY - 2018 DO - https://doi.org/10.1016/j.engfracmech.2017.07.001 SN - 0013-7944 SN - 1873-7315 VL - 198 SP - 103 EP - 122 PB - Elsevier AN - OPUS4-46858 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Zerbst, Uwe A1 - Madia, Mauro A1 - Vormwald, M. T1 - Fatigue strength and fracture mechanics N2 - 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. T2 - 2nd International Conference on Structural Integrity CY - Funchal, Madeira, Portugal DA - 04.09.2017 KW - Fatigue strength KW - Fracture mechanics KW - Initial crack size KW - Short crack propagation KW - Multiple crack propagation PY - 2017 DO - https://doi.org/10.1016/j.prostr.2017.07.065 SN - 2452-3216 VL - 5 SP - 745 EP - 752 AN - OPUS4-42545 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Zerbst, Uwe A1 - Madia, Mauro A1 - Vormwald, M. T1 - Fatigue strength and fracture mechanics N2 - 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. T2 - 2nd International Conference on Structural Integrity CY - Funchal, Madeira, Portugal DA - 04.09.2017 KW - Fatigue strength KW - Fracture mechanics KW - Initial crack size KW - Short crack propagation KW - Multiple crack propagation PY - 2017 AN - OPUS4-42546 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Madia, Mauro A1 - Zerbst, Uwe A1 - Beier, T. A1 - Tchoffo Ngoula, D. T1 - Approximation of the crack driving force for cracks at notches under static and cyclic loading N2 - 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. T2 - 2nd International Conference on Structural Integrity CY - Funchal, Madeira, Portugal DA - 04.09.2017 KW - Structural integrity KW - Fracture mechanics KW - Crack driving force KW - Notches PY - 2017 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-425577 DO - https://doi.org/10.1016/j.prostr.2017.07.111 SN - 2452-3216 VL - 5 SP - 875 EP - 882 PB - Elsevier B.V. AN - OPUS4-42557 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Madia, Mauro T1 - Approximation of the crack driving force for cracks at notches under static and cyclic loading N2 - 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. T2 - 2nd International Conference on Structural Integrity CY - Funchal, Madeira, Portugal DA - 04.09.2017 KW - Structural integrity KW - Fracture mechanics KW - Crack driving force KW - Notches PY - 2017 AN - OPUS4-42558 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Duarte, Larissa A1 - Madia, Mauro A1 - Kanna, Naveen A1 - Bär, Jürgen ED - Ricoeur, Andreas T1 - Anwendung der zyklischen R-Kurven-Analyse zur Abschätzung des Kitagawa-Takahashi-Diagramms N2 - Die ausgeprägte Langzeitfestigkeit eines Werkstoffes entspricht der maximalen Spannung, unterhalb derer alle ursprünglich wachstumsfähigen Mikrorisse arretieren. Für fehlerbehaftete Werkstoffe stellt das Kitagawa-Takahashi (KT)-Diagramm die Abhängigkeit der ausgeprägten Langzeitfestigkeit von der Defektgröße dar. Das KT-Diagramm kann mit großem Aufwand experimentell bestimmt oder durch verschiedene Modelle abgeschätzt werden. Solche Ansätze ergeben oft nichtkonservative Prognosen und berücksichtigen weder den Aufbau der Rissschließeffekte noch lokale Spannungen. In dieser Arbeit wird ein Kurzrissmodell auf Grundlage der zyklischen R-Kurve und des Rissarrestphänomens zur Abschätzung des KT-Diagramms vorgestellt. Die Abschätzungen werden mit experimentellen Daten validiert, die mit gekerbten Proben nach dem Treppenstufenverfahren ermittelt wurden. T2 - 57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit CY - Köln, Germany DA - 18.02.2025 KW - Langzeitfestigkeit KW - KT-Diagramm KW - zyklische R-Kurven-Analyse PY - 2025 DO - https://doi.org/10.48447/BR-2025-512 VL - 257 SP - 93 EP - 104 PB - Deutscher Verband für Materialforschung und -prüfung e.V. CY - Berlin, Deutschland AN - OPUS4-62603 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - 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 - JOUR A1 - Strauß, Lea A1 - Duarte, Larissa A1 - Kruse, Julius A1 - Madia, Mauro A1 - Löwisch, Günther T1 - An equivalent stress approach for predicting fatigue behavior of additively manufactured AlSi10Mg N2 - Laser-based powder bed fusion (PBF-LB) is an advanced additive manufacturing technique renowned for its precision and capability to fabricate complex metal components. However, the high thermal gradients and rapid cooling rates intrinsic to this process introduce significant process-induced effects, such as inhomogeneities, surface roughness, anisotropy, and residual stress, all of which critically influence the fatigue behavior of the produced parts. This study investigates the fatigue performance of AlSi10Mg samples produced by PBF-LB, examining the impact of varying surface conditions, geometries, and residual stress levels. Fatigue-life prediction models are formulated based on nominal stress amplitude, residual stress, form factor, crack-initiating inhomogeneity, and surface roughness, with smooth samples serving as a baseline reference. The study presents two empirical models for predicting fatigue life and fatigue strength using S–N curves and the Kitagawa–Takahashi diagram with the El Haddad approach, derived from comprehensive experimental data, including finite element modeling, fatigue-life measurements, surface roughness evaluations, and residual stress analysis. KW - AlSi10Mg KW - Kitagawa–Takahashi diagram KW - El Haddad KW - Equivalent stress KW - Fatigue-life prediction KW - PBF-LB/M PY - 2025 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-625176 DO - https://doi.org/10.1007/s40964-025-00974-0 SP - 1 EP - 16 PB - Springer Science and Business Media LLC AN - OPUS4-62517 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Hilgenberg, Kai A1 - Madia, Mauro T1 - Additive Fertigung von Bauteilen und Strukturen – Grenzen, Risiken, Chancen N2 - Dieser Eröffnungsvortrag des DVM-Tages beleuchtet Herausforderungen in der additiven Fertigung und plädiert für eine enge Zusammenarbeit von Fertigungstechnik und Bruchmechanik für die Vorhersage der Lebensdauer AM-gefertigter Komponenten. T2 - DVM-Tag CY - Berlin, Germany DA - 08.04.2025 KW - Additive Fertigung KW - Digitale Qualitätssicherung KW - Ermüdungsfestigkeit PY - 2025 AN - OPUS4-62971 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Madia, Mauro 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 - 2021 AN - OPUS4-53778 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Madia, Mauro T1 - Fraucture mechanics-based probablistic structural integrity assessment for aero-engine turbine disk N2 - 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. T2 - ICF15 - International Conference on Fracture CY - Atlanta, GA, USA DA - 12.06.2023 KW - Fracture Mechanics KW - Failure Assessment Diagram KW - Finite Element Analysis KW - Component Assessment PY - 2023 AN - OPUS4-57727 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Madia, Mauro T1 - Probabilistic structural integrity assessment of welded joints N2 - 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. T2 - ICF15 - International Conference on Fracture CY - Atlanta, GA, USA DA - 12.06.2023 KW - Fatigue KW - Fracture Mechanics KW - Weldments KW - Short crack KW - Probabilistic Assessment PY - 2023 AN - OPUS4-57726 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Madia, Mauro T1 - Progress in the determination of the fatigue propagation resistance in metals and its application to fatigue assessment N2 - 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. T2 - 5th Iberian Conference on Structural Integrity CY - Coimbra, Portugal DA - 30.03.2022 KW - Crack propagation resistance KW - Cyclic R-Curve KW - Fatigue assessment KW - Kitagawa-Takahashi diagram KW - S-N diagram PY - 2022 AN - OPUS4-54603 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 - Madia, Mauro T1 - Determination of the Kitagawa-Takahashi diagram for the EA4T railway axle steel by means of the cyclic R-curve method N2 - 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. T2 - 13th International Fatigue Congress CY - Hiroshima, Japan DA - 06.11.2023 KW - Fatigue limit KW - Crack propagation KW - Short crack KW - Cyclic R-curve KW - EA4T railway axle steel PY - 2023 AN - OPUS4-58867 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 - Vecchiato, L. A1 - Madia, Mauro A1 - Meneghetti, G. T1 - Extension of the peak stress method to estimate the fatigue limit of welded joints by means of the cyclic R-curve method N2 - A new simplified and effective method has been formalised to estimate the Constant Amplitude Fatigue Limit (CAFL) of stress-relieved steel welded joints subjected to uniaxial push–pull loading and failing from the weld toe. Starting from the sharp V-notch assumption of the NSIF approach and the cyclic R-curve of the material in the heat affected zone, the proposed method identifies the CAFL as threshold level of the local stress field at the V-notched weld toe in the uncracked configuration. Such threshold stress field assures the crack arrest at the V-notched weld toe, according to the cyclic R-curve analysis. The method has been validated against experimental results and proved effective for a straightforward assessment of the CAFL of welded joints, as the stable crack propagation analysis of classical fracture mechanics approaches can be avoided. KW - Cyclic R-curve KW - Welded joint KW - Fatigue limit KW - Peak stress method KW - Finite element analysis PY - 2023 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-581059 DO - https://doi.org/10.1016/j.tafmec.2023.104039 SN - 0167-8442 VL - 127 SP - 1 EP - 19 PB - Elsevier AN - OPUS4-58105 LA - eng 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 - CONF A1 - Madia, Mauro T1 - Influence of defects on the fatigue strength of parts repaired by cold spray N2 - Cold spray repair is a promising and cost-saving alternative to replacing worn parts. Depositing of materials into machined damage volumes in decent quality can restore the performance of refurbished parts and extend their working life. Furthermore, repair counts as resource-efficient and green process in a world targeting at decarbonization of many industrial sectors. Despite the advantages, cold spray repair still suffers from major limitations which prevent its application in safety relevant parts. The main factors influencing the structural integrity concern the adhesion strength, inherent non-bonded internal interfaces, the reduced ductility by work hardening during the manufacturing process, and the presence of residual stresses. This work presents the results of the collaborative project CORE devoted to the development of automatized repair of aerospace parts by cold spray. The investigations considered the aluminum alloy Al6061-T6 which combines medium-high strength, good workability, and high corrosion resistance. Quasi-static tensile tests, high cycle fatigue and fatigue crack propagation tests were performed to compare the performance of base and repaired materials. These were complemented by fractographic and microstructural investigations. T2 - 5th International Symposium on Fatigue Design and Material Defects CY - Trento, Italy DA - 14.05.2025 KW - Cold Spray KW - Component Repair KW - Fatigue Strength KW - Defects KW - Surface Treatment PY - 2025 AN - OPUS4-63146 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Werner, Tiago A1 - Teske, Tanita A1 - Hilgenberg, Kai A1 - Mauro, Madia A1 - Nielsen, S. A1 - Gärtner, F. A1 - Klassen, T. T1 - Untersuchung des Potenzials von Kaltgasspritzen für die Reparatur zyklisch belasteter Bauteile T1 - Investigation on the capability of cold-spray for repair of cyclically loaded components N2 - Die Reparatur mittels Kaltgasspritzen ist eine vielversprechende Alternative zum teuren Austausch fehlerbehafteter Bauteile in der Luft- und Raumfahrt. Im Rahmen dieser Arbeit wurde das Potential des Verfahrens an der hochfesten Aluminiumlegierungen Al6061-T6 unter Anwendung von Stickstoff als kostengünstiges Prozessgas untersucht. Es wurden quasi-statische Zugversuche und einachsige Zeitfestigkeitsversuche mit besonderem Fokus auf das in-situ Kugelstrahlen zur Verbesserung der mechanischen Eigenschaften durchgeführt. Im Ergebnis wurde die Verbesserung der Adhäsion zwischen Substrat und aufgebautem Werkstoff als entscheidendes Kriterium für eine Anwendbarkeit ermittelt. Die Laserstrukturierung von Substratoberflächen ist hierfür vielversprechend und wurde im Rahmen der Arbeit mittels Adhäsionsversuchen untersucht. N2 - Repair by cold-spray is a promising alternative to the costly replacement of flawed components in aerospace applications. In the present work this process was investigated on the high-strength aluminum alloy Al6061-T6. For the cold-spray process, inexpensive Nitrogen was used as process-gas. Quasi-static tensile and highcycle- fatigue tests (HCF) were performed, focusing on in-situ shot peening to improve the mechanical properties of the repaired part. An improved adhesion between substrate and built-up material was identified as a key-factor for the applicability of the process. Under this respect laser-structuring of the substrate surface was applied and its effect on the mechanical performance of the restored samples were examined by adhesion tests. T2 - 9. Tagung des DVM-Arbeitskreises Additiv gefertigte Bauteile und Strukturen CY - Stuttgart, Germany DA - 06.11.2024 KW - Kaltgasspritzen KW - cold-spray KW - Reparatur KW - Repair KW - Ermüdungsfestigkeit KW - Fatigue KW - Luft- und Raumfahrt KW - Aerospace KW - Substratvorbehandlung KW - Substrate pre-treatment PY - 2024 DO - https://doi.org/10.48447/ADD-2024-BB VL - 409 SP - 67 EP - 79 AN - OPUS4-63182 LA - deu 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 - 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 - JOUR A1 - Mazzei, S. A1 - Madia, Mauro A1 - Beretta, S. A1 - Mancaleoni, A. A1 - Aparo, S. T1 - Analysis of Cu-wire pull and shear test failure modes under ageing cycles and finite element modelling of Si-crack propagation N2 - In microelectronic packaging, wire bonding is the predominant method for making electrical connections. Copper is increasingly substituting gold as interconnection material since it is a much cheaper alternative and it also offers several physical advantages. Adequate and reliable mechanical integrity of the connection is usually checked by process controls based onto 'wire pull' and 'ball bond shear' tests. In this paper the two methods are compared in terms of sensitiveness in detecting a latent weakness of the bond-pad structure, either induced by inappropriate wire bonding process or cumulated during reliability ageing. The failure modes (in terms of frequency and maximum test load) observed at the ball bond interface have been investigated on two different batches of a same chip, obtained from different wire-bonding recipes and including both unstressed and aged units. Cross-sections of the samples, submitted to pull and shear both in destructive and non-destructive tests, have allowed us to investigate the relationship between the bond morphological characteristics (metal deformation and potential micro-damages induced by copper bonding) and the weak points for fracture propagation inside the bond-pad inner layers and the silicon substrate. Besides the experimental activities, fracture mechanics and the finite element method have been employed to model the pull and shear tests. The aims of the finite element modelling have been to predict the reduction of test maximum load in defective ball bonds and the crack growth angle adopting a mixed-mode criterion. Good results have been obtained by the numerical fracture analysis, which can then support the reliability characterization and mechanical improvement of the bond. KW - Copper wire bonding KW - Mixed-mode crack growth KW - Silicon cratering KW - Stress intensity factor PY - 2014 DO - https://doi.org/10.1016/j.microrel.2014.04.004 SN - 0026-2714 VL - 54 IS - 11 SP - 2501 EP - 2512 PB - Elsevier CY - Amsterdam [u.a.] AN - OPUS4-32381 LA - eng 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 - JOUR A1 - Madia, Mauro A1 - Arafah, D. A1 - Zerbst, Uwe T1 - Reference load solutions for plates with semi-elliptical surface cracks subjected to biaxial tensile loading N2 - The yield or limit load is a key parameter with respect to the accuracy of flaw assessment based on R6 type procedures such as the R6 routine, the SINTAP and FITNET method, the standard BS 7910 and others. In a number of previous papers two of the present authors proposed the use of a reference load instead of the common limit load, which not only provided more exact fracture mechanics predictions, but showed also a wider and more general application range than the conventional parameter. Here the method has been extended to biaxial tensile loading and it has been successfully validated by a thorough comparison with finite element results and alternative solutions available in the literature. KW - Flaw assessment KW - R6 procedure KW - Limit load KW - Reference load KW - Biaxial tensile loading PY - 2014 DO - https://doi.org/10.1016/j.ijpvp.2014.02.004 SN - 0308-0161 VL - 119 SP - 19 EP - 28 PB - Applied Science Publ. Ltd. CY - Barking AN - OPUS4-31429 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Madia, Mauro T1 - A model for the determination of the fatigue life in technical alloys containing large and small defects T2 - ECF20 - European Conference on Fracture CY - Trondheim, Norway DA - 2014-06-30 PY - 2014 AN - OPUS4-31191 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Madia, Mauro A1 - Zerbst, Uwe A1 - Beier, H.T. T1 - A model for the determination of the fatigue life in technical alloys containing large and small defects N2 - The determination of the fatigue life in technical alloys containing large and small defects must rely on a propagation model which accounts for short and long crack growth. Recently an analytical model which incorporates propagation in the short crack regime and plastic correction for the crack driving force has been presented by two of the authors. This work is intended to show further validation of the model, taking into account data sets for different materials with different testing conditions. Despite the assumptions about missing parameters, the value of which had to be taken from the literature, the predictions showed a fairly good approximation of the fatigue lives. A possible interpretation of the results in terms of multiple crack initiation and propagation at higher loads is proposed. T2 - EFC20 - 20th European conference on fracture CY - Trondheim, Norway DA - 30.06.2014 KW - Fatigue strength KW - Crack propagation KW - Short cracks PY - 2014 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-311961 DO - https://doi.org/10.1016/j.mspro.2014.06.082 SN - 2211-8128 VL - 3 SP - 493 EP - 498 PB - Curran CY - Red Hook, NY, USA AN - OPUS4-31196 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Madia, Mauro T1 - Ermittlung der Schwingfestigkeit von technischen Legierungen mittels bruchmechanischer Methoden N2 - 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. T2 - DVM Fortbildungsseminar CY - Mittweida, Germany DA - 13.02.2017 KW - Schweißverbindungen KW - Schwingfestigkeit KW - Bruchmechanik KW - IBESS-Projekt PY - 2017 AN - OPUS4-39265 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Zerbst, Uwe A1 - Madia, Mauro A1 - Vormwald, M. T1 - Schwingfestigkeit und Bruchmechanik N2 - Um bruchmechanisch Schwingfestigkeiten ermitteln zu können, sind einige Voraussetzungen erforderlich: (a) Das Wachstum sowohl langer als auch mechanisch und physikalisch kurzer Risse muss adäquat beschrieben werden. Das erfordert die Anwendung elastisch plastischer Konzepte zur Beschreibung der zyklischen Rissspitzenbeanspruchung sowie die Modellierung des graduellen Aufbaus der Rissschließeffekte im Kurzrissbereich. (b) Es müssen physikalisch sinnvolle Ausgangsrissgrößen für die bruchmechanische Analyse bestimmt werden. (c) Bei Spannungen oberhalb der Dauerfestigkeit respektive der Versagensspannung bei 107 Lastwechseln muss gegebenenfalls Mehrfachrisswachstum berücksichtigt werden. Der Vortrag diskutiert diese Punkte und zeigt Lösungswege auf. T2 - 49. Tagung des Arbeitskreises "Bruchmechanik und Bauteilsicherheit" CY - Mittweida, Germany DA - 14.02.2017 KW - Schwingfestigkeit KW - Bruchmechanik KW - Ausgangsriss KW - Mehrfachriss PY - 2017 VL - 249 SP - 77 EP - 92 PB - DVM (Deutscher Verband für Materialforschung und -prüfung) CY - Berlin AN - OPUS4-39227 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Madia, Mauro A1 - Kiyak, Yusuf A1 - Zerbst, Uwe T1 - Extended parametric equations for weld toe stress concentration factors and through-thickness stress distributions in butt-welded plates subject to tensile and bending loading N2 - Based on a large set of 2D finite element analyses, parametric equations for weld toe stress concentration factors and through-thickness stress profiles are provided for butt-welded plates. These cover Single-Vand Double-V joints subject to tensile and bending loading. Compared to the most widespread solutions in the literature, which have also been tested against the finite element data in this work, the application range is extended particularly with respect to the weld toe radius(0.1≤ρ≤4 mm)andangle(10 °≤α≤60 °). Furthermore, two values of excess weld metal are considered (h=0.75;2.5mm). The analyses are performed for a plate thickness of 10 mm. Besides the extended validity range, the proposed equations show also an improved accuracy compared to the existing solutions. KW - Butt welds KW - Weld toes KW - Stress analysis KW - Structures PY - 2016 DO - https://doi.org/10.1007/s40194-016-0377-x VL - 60 IS - 6 SP - 1247 EP - 1259 AN - OPUS4-37959 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Madia, Mauro T1 - Ermittlung der Wöhlerkurve von Schweißverbindungen mittels bruchmechanischer Methoden N2 - 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. T2 - 43. Tagung des DVM-Arbeitskreises Betriebsfestigkeit CY - Steyr, Austria DA - 12.10.2016 KW - Schwingfestigkeit KW - Wöhlerkurve KW - Bruchmechanik KW - Schweißverbindung PY - 2016 AN - OPUS4-37859 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Kiyak, Yusuf A1 - Madia, Mauro A1 - Zerbst, Uwe A1 - Schork, B. T1 - Ermittlung der Wöhlerkurve von Schweißverbindungen mittels bruchmechanischer Methoden N2 - 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. T2 - 43. Tagung des DVM-Arbeitskreises Betriebsfestigkeit CY - Steyr, Austria DA - 12.10.2016 KW - Schwingfestigkeit KW - Wöhlerkurve KW - Bruchmechanik KW - Schweißverbindung PY - 2016 SN - 0944-522 SP - 197 EP - 208 AN - OPUS4-37866 LA - deu AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - GEN A1 - Zerbst, Uwe A1 - Ainsworth, R. A. A1 - Madia, Mauro ED - Klingbeil, D. ED - Vormwald, M. ED - Eulitz, K.-G. T1 - Reference load versus limit load in engineering flaw assessment: A proposal for a hybrid analysis option N2 - The net section limit load FY is a key input parameter 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. A further problem is that 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 SINTAP and FITNET. 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. T2 - 18th European conference on fracture (ECF 18) - Fracture of materials and structures from micro to macro scale CY - Dresden, Germany DA - 2010-08-30 KW - Flaw assessment KW - Reference stress method KW - R6 procedure KW - EPRI method KW - SINTAP KW - FITNET KW - Limit load KW - Reference load PY - 2010 SN - 978-3-00-031802-3 IS - Paper 81 SP - 1 EP - 11 AN - OPUS4-22329 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -