L'objet de ce travail est de proposer une approche multi-échelle de la fatigue fondée sur l'énergie, et susceptible d'estimer les durées de vie associées à des chargements multidimensionnels variables. Le fondement de la démarche consiste à supposer que l'énergie dissipée à petite échelle régit le comportement à la fatigue. À chaque point matériel, est associée une distribution stochastique de points faibles qui sont susceptibles de plastifier et de contribuer à la dissipation d'énergie sans affecter des contraintes macroscopiques globales. Ceci revient à adopter le paradigme de Dang Van en fatigue polycyclique. La structure est supposée élastique (ou adaptée) à l'échelle macroscopique. De plus, on adopte à l'échelle mésoscopique un comportement élastoplastique avec une dépendance de la fonction de charge plastique non seulement de la partie déviatorique des contraintes, mais aussi de la partie hydrostatique. On considère également un écrouissage cinématique linéaire sous l'hypothèse d'une plasticité associée. Au lieu d'utiliser le nombre de cycles comme variable incrémentale, le concept d'évolution temporelle du chargement est adopté pour un suivi précis de l'historique du chargement réel. L'effet de la contrainte moyenne est pris en compte dans la fonction de charge mésoscopique ; une loi de cumul non linéaire de dommage est également considérée dans le modèle. La durée de vie à la fatigue est ensuite déterminée à l'aide d'une loi de phénoménologique fondée sur la dissipation d'énergie mésoscopique issue du cycle d'accommodation plastique. La première partie du travail a porté sur une proposition d'un modèle de fatigie à gradient de mise en oeuvre plus simple que les précédents modèles. / The aim of this work is to propose a multi-scale approach to energy-based fatigue, which can estimate lifetimes associated with variable multidimensional loading. The foundation of the approach is to assume that the energy dissipated on a small scale governs the fatigue behavior. Each material point is associated to a stochastic distribution of weak points that are likely to plasticize and contribute to the dissipation of energy without affecting global macroscopic stresses. This amounts to adopting Dang Van's paradigm of high cycle fatigue. The structure is supposed to be elastic (or adapted) on a macroscopic scale. In addition, we adopt on the mesoscopic scale an elastoplastic behavior with a dependence of the plastic load function not only of the deviatoric part of the stresses, but also of the hydrostatic part. Linear kinematic hardening is also considered under the assumption of an associated plasticity. Instead of using the number of cycles as an incremental variable, the concept of temporal evolution of the load is adopted for a precise follow-up of the history of the actual loading. The effect of mean stress is taken into account in the mesoscopic yield function; a law of nonlinear accumulation of damage is also considered in the model. Fatigue life is then determined using a phenomenological law based on mesoscopic energy dissipation from the plastic accommodative cycle. The first part of the work focused on a proposal for a fatigue model with a simpler implementation gradient than the previous models.

Classical fatigue models teach that there is an intrinsic fatigue limit for steels, representing a level of stress that is too low for regular crack growth where every cyclic load propagates a fatigue crack through the material. Modern application with extreme lifetimes has shown that fatigue will still take place in steels with stress levels well below the expected fatigue limit. This relatively new area of study has been named Very High Cycle Fatigue, or VHCF, and describes fatigue failures with a number of load cycles exceeding 107. Fractography of steels that has suffered VHCF tends to reveal an especially rough crack surface adjacent to where the fatigue crack originates, which is typically some form of defect in the bulk of the steel. This area is believed to be critical for VHCF and has been referred to in a number of ways by different studies, but will herein be called Fine Granular Area, or FGA. The aim of this study is to try and get a better understanding of VHCF. This was done by fractography analysis of test specimens of high strength tool steel that suffered fatigue failure at lifetimes ranging from about 106 cycles to 1,9x109 cycles. The lower lifetimes were achieved using hydraulic testing equipment, while the specimens in the VHCF range suffered fatigue failure in ultrasonic testing equipment allowing the application of a cyclic stress at a rate of 20 000 Hz. The resulting fracture surfaces were then investigated using a scanning electron microscope, or SEM, taking special note of the fatigue initiating defects and, in the case of VHCF, the rough area found adjacent to it. In combination with the SEM an elemental analysis of the fatigue initiating defects as well as the bulk of the material was done using energy-dispersive X-ray spectroscopy, or EDS. This was done to find out what the defects consisted of; confirming that they were slags and checking that the composition of the material of the bulk of the specimen matches what was expected. Using light optical microscopy in combination with acid etching of the surface of samples cut out of the test specimens the structure of the steel was investigated. Calculating the local stresses at the location of the fatigue initiating defect was done using FEM in combination with displacement amplitude gathered from the ultrasonic testing equipment. The data gathered was then measured and compared to that of previous studies, using models of prediction and seeing how they match the experimental results. The results suggest that the stress intensity factor at the internal slags is critical for VHCF and that with lower stress intensity factors one can expect longer lifetimes. Another observation is a relatively consistent stress intensity factor at the edge of the FGA combined with the original defect, likely signifying the transition from the creation of FGA to traditional crack propagation. There also seems to be a connection between the size of the FGA and the number of cycles to failure, with larger FGA with increasing lifetimes. The most glaring shortcoming of this study is the amount satisfactory tests conducted, and thus amount of data points, is very low due to the majority of specimens suffered failure at the threading used to connect them to the ultrasonic testing equipment at lifetimes far too low to be relevant. / Klassiska utmattningsmodeller lär ut att det finns en utmattningsgräns för stål, vilket representerar en spänningsnivå som är för låg för regelbunden sprickväxt där varje cyklisk belastning sprider en utmattningsspricka genom materialet. Moderna applikation med extrema livstider har visat att utmattning fortfarande äger rum i stål med spänningsnivåer långt under den förväntade utmattningsgränsen. Detta relativt nya studieområde har fått namnet Very High Cycle Fatigue, eller VHCF, och beskriver utmattningsfall med ett antal belastningscykler som överstiger 107. Fraktografi av stål som har drabbats av VHCF tenderar att ha en särskilt gropig sprickyta som ligger intill där utmattningssprickan har sitt ursprung, vilket typiskt är någon form av defekt i stålets bulk. Detta område tros vara kritiskt för VHCF och har hänvisats till på ett antal sätt av olika studier, men kommer här att kallas Fine Granular Area eller FGA. Syftet med denna studie är att försöka få en bättre förståelse för VHCF. Detta gjordes genom fraktografianalys av testprover av verktygsstål med hög hållfasthet som drabbades av utmattningsbrott vid livstider från cirka 106 cykler till 1,9x109 cykler. De lägre livslängderna uppnåddes med hjälp av hydraulisk testutrustning, medan proverna i VHCF-området drabbades av utmattningsbrott i ultraljudstestutrustning som klarar att applicera en cyklisk stress med en frekvens på 20 kHz. De resulterande sprickytorna undersöktes sedan med hjälp av ett svepelektronmikroskop, eller SEM, med särskild fokus på utmattningsinitierande defekter och, i fallet med VHCF, det grova området som hittades intill det, FGA. I kombination med SEM utfördes en elementanalys av utmattningsinitierande defekter liksom huvuddelen av materialet med energidispersiv röntgenspektroskopi, eller EDS. Detta gjordes för att ta reda på vad inneslutningarna bestod av för att bekräfta att de var slagg samt kontrollera att sammansättningen av materialet i huvuddelen av provet matchar det som förväntades. Med användning av optisk ljusmikroskopi i kombination med syraetsning av ytan på prover som skars ut ur testproverna undersöktes stålets struktur. Beräkning av de lokala spänningarna på platsen för den utmattningsinitierande defekten gjordes med hjälp av FEM i kombination med förskjutningsamplituden som samlats från ultraljudsutrustningen. De insamlade uppgifterna mättes sedan och jämfördes med tidigare studier genom att använda diverse modeller och se hur de matchar de experimentella resultaten. Resultaten antyder att stressintensitetsfaktorn vid inneslutningarna är kritisk för VHCF och att man med lägre stressintensitetsfaktorer kan förvänta sig längre livstid. En annan observation är en relativt konsekvent stressintensitetsfaktor vid kanten av FGA, vilket sannolikt markerar övergången från skapandet eller utbredning av FGA till traditionell sprickutbredning. Det verkar också finnas en koppling mellan storleken på FGA och antalet cykler till fel, med större FGA med ökande livslängd. Den mest uppenbara bristen i denna studie är mängden tillfredsställande tester som genomförts. Därmed är mängden datapunkter mycket låg, detta på grund av att majoriteten av proverna misslyckades vid gängningen som användes för att ansluta dem till ultraljudstestutrustningen vid livstider alltför låga för att vara relevanta.

Titanium powder was deposited into low-carbon steel specimens using three thermal spray technologies: plasma spray, cold spray (USA, Singapore) and warm spray (denoted as PS, CSU, CS-S, and WS, respectively, in further text). The aim was to determine the influence of the coatings on the fatigue lives of the specimens. The experimental work was carried out in a symmetrical cantilever-beam bending setup using a computer-controlled SF-Test loading device. Further to that, the micro-morphology of coatings structure, their respective porosity content and the fracture surfaces of both coatings and substrate materials was carried out.

The main goal of this master's thesis is an analysis of high-cycle fatigue of titanium alloy Ti- 6Al- 4V. In the first section of a theoretical part of the thesis, there are summarized current facts about production, properties and aplications of titanium alloys. The second section pursues fatigue behaviour of material. An experimental part consists of metallographic analysis, evaluation of tension and bending tests and mainly analysis of high-cycle fatigue behavior for different assymetry ratios.

[pt] As tecnologias de manufatura aditiva (MA) tornaram-se alvo de grande interesse industrial para fabricação de componentes e peças finais destinadas a inúmeras aplicações em diversos setores da indústria. Estes componentes, em sua maioria, são projetados para apresentar vida em serviço superior à 107ciclos, fazendo com que a análise do comportamento em fadiga no regime de altíssimo ciclo (VHCF) se tornasse um critério de projeto imprescindível. O aço inoxidável AISI 316L é um dos materiais mais processados por MA, com inúmeras abordagens na literatura. Contudo, ainda não há um conhecimento consolidado a respeito do comportamento deste material quando submetido a longas ou super longas vidas em fadiga após processamento pelas distintas técnicas disponíveis, nem tampouco dos mecanismos de iniciação de trincas predominantes. Em geral, no regime de VHCF as trincas tendem a se iniciar internamente ou em regiões subsuperficiais a partir de defeitos internos presente no material. Esse fato resulta em uma característica na superfície de fratura conhecida como fish-eye. Outro fenômeno que ocorre na superfície de fratura, mais especificamente dentro da região do fish-eye, é a formação de uma camada fina granular (FGA) ao redor dos sítios de iniciação de trincas. O presente trabalho analisou a resistência à fadiga de longa duração do aço AISI 316L manufaturado pela técnica de deposição por energia direcionada a laser (L-DED). Corpos de prova de duas condições de pós-processamento do material, com e sem tratamento térmico, foram submetidos a ensaios de fadiga em equipamento ultrassônico (frequência de 20±0,5 kHz), com R = -1 e tendo como alvo 109ciclos. Após o levantamento das curvas S-N das duas condições microestruturais, as superfícies de fratura foram analisadas. Os resultados da pesquisa indicaram que o tratamento térmico reduziu a vida em fadiga do material em função da população de defeitos metalúrgicos encontrada, bem como influenciou a formação de fish-eye e FGA durante a iniciação e propagação das trincas. Por fim, o tamanho do FGA foi quantificado experimentalmente, para permitir a comparação com dimensões de FGA estimadas por equações empíricas presentes na literatura. / [en] Additive manufacturing (AM) technologies have become a target of great industrial interest for manufacture of components and final parts intended for several applications in many sectors of the industry. Most of these components are designed to have a service life higher than 107cycles, making the analysis of the fatigue behavior in the very high cycle regime (VHCF) an essential design criterion. AISI 316L stainless steel is one of the most processed by AM, with numerous approaches in the literature. However, there is still no consolidated knowledge about the behavior of this material when subjected to long or super long fatigue lives after processing by the different available techniques, nor about the predominant crack initiation mechanisms. In general, in the VHCF regime, cracks tend to start internally or in subsurface regions from internal defects present in the material. This fact results in a characteristic in the fracture surface known as fish-eye. Another phenomenon that occurs at the fracture surface, more specifically within the fish-eye region, is the formation of a fine granular area (FGA) nearby the crack initiation sites. The present work analyzed the long-term fatigue strength of AISI 316L steel manufactured by laser directed energy deposition (L-DED) technique. Specimens of two post-processing conditions of the material, with and without heat treatment, were subjected to fatigue tests in ultrasonic equipment (frequency 20 ± 0.5 kHz), with R = -1 aiming 109cycles. After surveying the S-N curves of the two microstructural conditions, the fracture surfaces were analyzed. The research results indicated that the heat treatment reduced the fatigue life of the material as a function of the population of metallurgical defects found, as well as influenced the formation of fish-eye and FGA during the initiation and propagation of cracks. Finally, the size of FGA was experimentally quantified to allow comparison with the dimensions of the FGA estimated by empirical equations present in the literature.

No description available.

[pt] A determinação da vida à fadiga para projetar estruturas e componentes mecânicos é extremamente importante. A curva S-N pode ser afetada por diferentes condições operacionais e alguns fatores são mais pronunciados no teste ultrassônico de fadiga, dependendo do material. A influência da alta frequência nos fenômenos de autoaquecimento e o efeito da frequência são discutidos. Um aspecto relevante em VHCF é o mecanismo de iniciação e propagação de trincas. Os fenômenos como olho de peixe e área fina granular (FGA) foram encontrados nas superfícies de fratura. Esta tese está dividida em 3 tópicos: evolução da temperatura, amplitude de deformação da microplasticidade e investigação da região FGA. Os materiais em estudo são os aços DIN 34CrNiMo6 e DIN 42CrMo4. O teste de fadiga ultrassônica foi realizado em diferentes condições de carregamento no modo intermitentes e acompanhado por câmera termográfica infravermelha. Esses resultados obtidos para a câmera termográfica foram usados para desenvolver um modelo de inteligência artificial usando aprendizado de máquina para prever a curva temperatura-número de ciclos. O modelo foi capaz de prever a temperatura e os valores do coeficiente de determinação estão acima de 0,98. Para prever a vida à fadiga, foram escolhidos parâmetros baseados em tensão, curva S-N tradicional, temperatura no início do teste, (razão de Rayleigh), dissipação de calor, Qcyc e gradiente de temperatura. A temperatura em estado estacionário foi atingida em aproximadamente 5E+04 ciclos em ambos os aços. Observa-se que o número de ciclos até a falha aumenta à medida que a inclinação da temperatura (fase I) e a dissipação de calor diminuem. (razão de Rayleigh) forneceu melhor concordância com os resultados experimentais seguido por Qcyc. Além disso, grãos ultrafinos na seção transversal do FGA entre 500 -700 nm dentro da superfície da fratura foram detectados pela análise FIB e EBSD. O local grain refinament foi escolhido como o melhor modelo para explicar a formação de FGA. As inclusões não metálicas Al2O3 foram responsáveis por todas as iniciações internas da trinca de fadiga. / [en] The determination of fatigue life to design structures and mechanical components is extremely important. The S-N curve can be affected by different operational conditions, and some factors are more pronounced under ultrasonic fatigue test, depending on the material. The influence of the high frequency in self-heating phenomena and frequency effect are discussed. A relevant aspect in VHCF is the mechanism of crack initiation and propagation. The fish-eye and fine granular area (FGA) phenomena were encountered on the fracture surfaces. This thesis is divided in 3 topics: temperature evolution, microplasticity strain amplitude, and investigation of the FGA region. The materials under study are DIN 34CrNiMo6 and DIN 42CrMo4 steel. Ultrasonic fatigue test was conducted at different intermittent driving and loading ratios, accompanied by an infrared thermographic camera. These results obtained by the thermographic camera were used to developed an artificial intelligence model using machine learning to predict the temperature-number of cycle curves based on the fatigue life. The model was able to predict the temperature and the coefficient of determination values to be above 0.98. In order to predict the fatigue life, parameters were selected based on stress, the traditional S-N curve, slope temperature at the beginning of the test, (Rayleigh ratio), heat dissipation, Qcyc, and gradient temperature. A steady state temperature was reached approximately in 5E+04 cycles with both steels. It is noticeable that the number of cycles to failure increases as slope temperature and heat dissipation decreases. (Rayleigh ratio) provided better agreement with the experimental results followed by Qcyc. Moreover, ultrafine grains in the cross–section of the FGA between 500 - 700 nm within the fracture surface were detected by FIB and EBSD analysis. Local grain refinement was choose the best model to explain FGA formation. The non-metallic inclusions were ultimately responsible for all internal crack initiations of Al2O3.

Approved for public release, distribution is unlimited / Resonant excitation tests of rotor blades in vacuum spin pits using discrete oil jets showed that impact erosion of the blades could limit test times, but lower excitation amplitudes were produced using mist nozzles. Smaller diameter discrete jets might extend test times, but to fully prevent erosion, oil mist droplet size needed to be 30 microns or less. The present study examined both approaches. Prototype nozzles were developed to create 0.005 inch diameter multiple discrete jets using first alumina, then stainless steel tubing, laser and micro-machine drilling. The latter technique was selected and 50 were manufactured for evaluation in HCF spin tests. A vacuum test chamber was built to observe and photograph spray patterns from the prototype nozzles and from commercially available mist nozzles. An LDV system was used successfully to determine the velocity of the oil droplets within the mist. A complete mapping of mist nozzle sprays is required to allow routine design of blade excitation systems. / Lieutenant, United States Navy

The thesis is focused on assessment of fatigue behaviour of austempered ductile iron with nodular graphite. Optimal period of transformation was determined based on the best combination of stress and strain characteristics established by tensile test. Cyclic response and low-cycle fatigue life were studied under both stress-control and longitudinal strain-control mode at room temperature. For both modes, shapes of cyclic hardening curves are dependent on stress amplitude. Cyclic deformation curves (CDC) were fitted by power regression function. Results were compared with CDC established by multiple step test in both modes with verification of the influence of cyclic creep (high stress levels, stress-control mode). Experimental data of S-N curves are in agreement with the Manson-Coffin and the Basquin law. Fatigue and cyclic parameters were compared. Fatigue life time in high-cycle fatigue region was determined. Experimental data were fitted by suitable regression functions. Regression parameters and fatigue limit were established by means of each regression function. Experimental data in low- and high-cycle fatigue regions were used to construct S-N curve and to determine relevant parameters. Discontinuity of experimental data was not observed. Low-cycle fatigue behaviour was predicted. Approximation of tolerance bands was realized in high-cycle and both high and low cycle fatigue regions.

Ce travail vise à améliorer notre compréhension du comportement en fatigue à grand et très grand nombre de cycles d’un acier ferrito-martensitique dual phase, notamment les effets de la température et de la vitesse de déformation résultant de chargements cycliques à haute fréquence. L'effet de la fréquence sur la réponse en fatigue de l'acier DP600 a été étudié en effectuant des essais de fatigue sur une machine ultrasonique travaillant à 20 kHz et sur une machine conventionnelle travaillant à des fréquences inférieures à 100 Hz. Des études de fractographie et des observations microscopiques à la surface des échantillons ont été effectuées pour étudier les mécanismes de déformation et de rupture. De plus, la thermographie infrarouge in situ a été utilisée pour étudier la réponse thermique et les mécanismes dissipatifs du matériau lors des essais de fatigue. Les courbes S-N ont été déterminées à partir de chargements de fatigue ultrasoniques à 20 kHz et d’essais conventionnels à 30 Hz. La durée de vie pour une amplitude de contrainte donnée est plus élevée dans le cas de la fatigue ultrasonique bien que la limite de fatigue soit identique dans les deux cas. L’augmentation inévitable de la température en fatigue ultrasonique à fortes amplitudes de contraintes, ainsi que le comportement dépendant de la vitesse de déformation de la ferrite, en tant que structure CC, ont été trouvés comme les paramètres clés expliquant le comportement observé en fatigue, et la réponse thermique sous les fréquences faibles et ultrasoniques. Les écarts observés entre l’essai de fatigue conventionnel et celui ultrasonique ont été évalués à travers les mécanismes de mobilité des dislocations vis dans la phase ferritique de structure cubique centrée (CC). La durée de vie plus élevée et l’amorçage de la fissure principale sur une inclusion observés en fatigue ultrasonique ont été attribués au vieillissement dynamique résultant du fort auto-échauffement du matériau aux fortes amplitudes de contraintes. L'existence d'une transition du régime thermiquement activé au régime athermique avec l’augmentation de l'amplitude de contrainte a été mise en évidence. Au-dessous de la limite de fatigue, la déformation a lieu dans un régime thermiquement activé alors qu'elle est dans un régime athermique au-dessus de la limite de fatigue. En fatigue conventionnelle, la déformation est athermique pour toutes les amplitudes de contrainte. Une carte de transition a été produite en utilisant les résultats expérimentaux pour l'acier DP600 ainsi que les données disponibles dans la littérature pour d'autres aciers à base de ferrite, montrant ainsi la corrélation entre le mouvement des dislocations vis thermiquement activé et l'absence de rupture en fatigue à très grand nombre de cycle. / This work is an attempt towards a better understanding of the high cycle and very high cycle fatigue behaviors of a ferritic-martensitic dual-phase steel, with a regard to temperature and strain rate effects, resulting from accelerated fatigue loading frequencies. The influence of frequency on fatigue response of DP600 steel was investigated by conducting ultrasonic and conventional low frequency fatigue tests. Fractography studies and microscopic observations on the surface of specimens were carried out to study the deformation and fracture mechanisms under low and ultrasonic frequencies. Moreover, in situ infrared thermography was carried out to investigate the thermal response and dissipative mechanisms of the material under fatigue tests. The S-N curves were determined from ultrasonic 20-kHz fatigue loadings and conventional tests at 30 Hz. Fatigue life for a given stress amplitude was found to be higher in the case of ultrasonic fatigue whereas the fatigue limit was the same for both cases. Moreover, crack initiation was always inclusion-induced under ultrasonic loading while under conventional tests it occurred at slip bands or defects on the surface. The inevitable temperature increase under ultrasonic fatigue at high stress amplitudes along with the rate dependent deformation behavior of ferrite, as a body centered cubic (BCC) structure, were found as the key parameters explaining the observed fatigue behavior and thermal response under low and ultrasonic frequencies. The discrepancies observed between conventional and ultrasonic fatigue tests were assessed through the mechanisms of screw dislocation mobility in the ferrite phase as a BCC structure. The higher fatigue life and inclusion-induced crack initiations in the case of ultrasonic loading were attributed to the dynamic strain aging, which resulted from the high temperature increases at high stress amplitudes. The existence of a transition in deformation regime from thermally-activated to athermal regime under ultrasonic fatigue loading by increasing the stress amplitude was confirmed. Below the fatigue limit, deformation occurred in thermally-activated regime while it was in athermal regime above the fatigue limit. Under conventional loading deformation occurred in athermal regime for all stress amplitudes. From the analysis of the experimental data gathered in this work, guidelines were given regarding the comparison and interpretation of S-N curves obtained from conventional and ultrasonic fatigue testing. A transition map was produced using the experimental results for DP600 steel as well as data available in the literature for other ferrite based steels, showing the correlation between thermally-activated screw dislocation movement and the absence of failure in very high cycle fatigue.